Why are people superstitious? Why do people blush when they are embarrassed? What is intelligence (and are IQ tests a good way to measure it)? Why don't psychopaths feel guilty when they harm others? How reliable are childhood memories? Why do we laugh? Do violent video games make people act violently? Why do some people seem instantly trustworthy and others seem creepy? How do we choose whom to sleep with, date, or marry? How does stress affect our body? While questions like these have been asked for centuries, psychology has begun to provide answers to these - and other questions about the human mind - by applying the tools of scientific investigation. In this course you will receive a broad introduction to the science of psychology: from the history of the field and its major advances, to the latest research on topics such as perception, memory, intelligence, morality, sexuality, mental illness, religion, language, and creativity. You will also learn about the tools and methods psychologists use to investigate the mind, such as observing how the mind of a child changes and develops over time, looking at people across cultures, measuring brain activity, and experimentally manipulating everything from the shape of a figure presented on a computer screen, to the smell of a room, or the attractiveness of the experimenter.

Full details for PSYCH 1101 - Introduction to Psychology

Personality and Social Psychology area are interested in understanding how people think, feel, and act in real-world social situations. There is a particular interest in how people make sense of the social world around them, as represented by research programs on judgment and decision making, attribution, self-knowledge, affect and emotion, and stereotyping/prejudice. Frequent topics of inquiry include whether people reach accurate or erroneous judgments about themselves and others, how people arrive at their decisions, and how those decisions can be influenced by emotions or factors outside of awareness and more.

Full details for PSYCH 1120 - FWS:Personality & Social Psychology

How do we perceive, learn about, and store information about the environments around us? How does what we have learned affect how we perceive and understand? PCD researchers in the graduate field of psychology at Cornell study human perception, language, and memory, as well as the development of various cognitive functions in infants. The methods they use are diverse, and range from human behavioral experiments in development, perception, and psycholinguistics, through computational modeling and simulation of auditory, visual, and language processes, to human electrophysiology by means of event-related potential (ERP) analysis.

Full details for PSYCH 1140 - FWS: Perception, Cognition, and Development

A comprehensive introduction to current thinking and research in developmental psychology that approaches topics from both psychobiological and cognitive perspectives. We will use a comparative approach to assess principles of development change. The course focuses on the development of perception, action, cognition, language, and social understanding in infancy and early childhood.

Full details for PSYCH 2090 - Developmental Psychology

This section is highly recommended for students who are interested in learning about the topics covered in the main course through writing and discussion.

Full details for PSYCH 2091 - WIM: Developmental Psychology

Since its inception the US legal system has been a system of social cognition and judgment: Humans perceiving and judging other humans to determine their fate. There are things about the system to admire, but major problems persist. Innocent people get convicted; guilty people go free. Why? Historically, that system built on social cognition has been ignorant about how human judgment actually works—producing errors as a result. This course explores the science of how we think about other people—our perceptions, memories, and judgments—can shape decisions and outcomes in the legal system, sometimes with devastating consequences. Grounded in psychological science and research on social cognition, we’ll examine how mental shortcuts, impression formation, moral judgment and group dynamics influence everything from eyewitness testimony to police investigations, from jury deliberations to sentencing. We will apply classic and cutting-edge research to identify what went wrong in real-world cases and how we could do better. Students will learn how understanding the psychology of social thinking can help explain—and ultimately improve—the legal system.

Full details for PSYCH 2120 - Social Cognition & the Legal System

There is no getting away from the brain. Everything a person does, creates, thinks, feels, believes, and experiences (including making sense of course descriptions!) depends on it. But, how? How could a three pound mass of cells and the body in which it exists see, decide, or remember, let alone navigate a busy city, play soccer, or write poetry? This course will provide students with the foundational concepts and tools they will need to begin to address these questions, providing insight into how modern cognitive neuroscientists understand the brain, how it works, and how the mind emerges from all of this. Students will learn core principles of modern human cognitive neuroscience (e.g., brain structure versus function, connectivity, reuse) and their application to cognition (e.g., action, perception, attention, memory, emotion, language, cognitive control, and consciousness). Topics in neuroanatomy, human neuroscience methods, and neurological conditions will also be covered.

Full details for PSYCH 2300 - How the Brain Makes the Mind

This course is an introduction to the moral mind from philosophical and psychological perspectives. Many traditional philosophical problems about morality are being illuminated by current work in cognitive science. In this course, we will look at several of these problems. In each case, we will begin with a presentation of the philosophical problems, and we will proceed to examine recent empirical work on the topic. A wide range of topics will be covered, including moral judgment, agency, the self, and punishment.

Full details for PSYCH 2415 - Introduction to Moral Psychology

Why and how do humans become moral beings? And what is a moral being anyways? Humans have written about these questions for as long as they have written about any deep question. Over the past century, however, empirical scientists have joined the investigation into moral development. This course will use empirical evidence to evaluate major theories of morality and its development. In the process, we will learn about topics like: cultural differences and similarities in moral orientations, the origins of helping and harming, and the development of moral reasoning and emotions childhood to adulthood.

Full details for PSYCH 2620 - Moral Development

This course explores how cognitive, social & clinical psychology are used in law. Law makes many assumptions about human psychology, and lawyers and judges regularly rely on psychological research in their cases. The course examines the psychology underlying criminal confessions; children's testimony; the insanity defense; risk assessment; judge and jury decision making; criminal punishment; constitutional law; and common law (tort, contract, and property) disputes. The course assesses the use and misuse of psychology in these subjects.

Full details for PSYCH 2650 - Psychology and Law

Introduction to research and theory in social psychology. Topics include social influence, persuasion, and attitude change; culture, social interaction and group phenomena; evolution, altruism, and aggression; stereotyping, prejudice and discrimination; everyday reasoning and judgment.

Full details for PSYCH 2800 - Introduction to Social Psychology

Writing in the Majors section of PSYCH 2800. In addition to attending all the lectures in PSYCH 2800, students will attend an additional weekly seminar and all assessment is based on writing instead of exams. This course is an introduction to research and theory in social psychology, covering the same material as in PSYCH 2800 (social influence, persuasion, and attitude change; social interaction and group phenomena; altruism and aggression; stereotyping and prejudice; everyday reasoning and judgment).

Full details for PSYCH 2801 - Introduction to Social Psychology: Writing in the Majors

Effective judgments and decisions are critical to success in every avenue of life. This course will explore research on the principles of sound judgment and decision making, and on the ways in which people's judgments and decisions are prone to bias and error. The course aims to improve students' critical thinking skills and to enable them to make better judgments and decisions in an increasingly complicated world. The course is taught by a team of psychologists and economists who draw on recent research in psychology and behavioral economics that can benefit the lives of students.

Full details for PSYCH 2940 - Better Decisions for Life, Love and Money

This is a course on applications of data science in social science using R. We will cover fundamentals of statistical and causal inference, exploratory data analysis and data reduction, supervised learning, and recent, prominent applications of machine learning in social science.

Full details for PSYCH 2945 - Data Science for Social Scientists II

This course will expose students to a wide range of commonly used methods in neuroscience research (theory behind the method, common applications of the method, how data are collected and analyzed using the method, strengths and weaknesses of the method, etc.). The goal for students is that by the end of the course, they will be able to read and critically evaluate primary literature from many areas of neuroscience and to understand how the methods used in the study helped the researchers come to their conclusions. This course will explore methods including (but not necessarily limited to): microscopy, methods to visualize neuronal structure and function, electrophysiology, methods to measure neural activity, methods to measure and manipulate expression of genes/mRNA/protein, machine learning methods for behavioral analysis, and whole brain imaging methods in humans and non-human animals.

Full details for PSYCH 3020 - Methods in Neuroscience

In this course, we will explore how language interacts with power: how does language reflect, shape, threaten and reinforce power relations in human society? From childhood through old age, language is an ever-present source of symbolic power. We use it to develop and express our identities, to position ourselves in hierarchies, and to establish group membership and exclusion throughout life. Language shapes ourselves, our families, our social lives, and our institutions. Understanding how people use language can provide a window into hidden aspects of both individuals and the social world.

Full details for PSYCH 3130 - Language and Power

Multidisciplinary discussion of the causes, effects, and treatments of human obesity. Topics include the biopsychology of eating behavior, the genetics of obesity, the role of activity and energy metabolism, the psychosocial determinants of obesity, anorexia nervosa, therapy and its effectiveness, and social discrimination.Multidisciplinary discussion of the causes, effects, and treatments of human obesity. Topics include the biopsychology of eating behavior, the genetics of obesity, the role of activity and energy metabolism, the psychosocial determinants of obesity, anorexia nervosa, therapy and its effectiveness, and social discrimination.

Full details for PSYCH 3150 - Obesity and the Regulation of Body Weight

Why do some children grow up well-adjusted and others do not? This course applies a developmental framework to understanding psychological disorders. We will consider the common disorders of childhood and adolescence; the individual contexts which promote risk versus resiliency; trends and trajectories in disorders over time; and the complex ethical issues associated with the diagnosis and treatment of disorders early in life.

Full details for PSYCH 3310 - Developmental Psychopathology

Our present technology allows us to transmit and display information through a variety of media. To make the most of these media channels, it is important to consider the limitations and abilities of the human observer. The course considers a number of applied aspects of human perception with an emphasis on the display of visual information. Topics include three-dimensional display systems, color theory, spatial and temporal limitations of the visual systems, attempts at subliminal communication, and visual effects in film and television.

Full details for PSYCH 3420 - Human Perception: Application to Computer Graphics, Art, and Visual Display

This course examines infant development from conception through toddler hood, emphasizing the interconnected growth of the whole child—biological, cognitive, emotional, and social. Drawing on contemporary research and inclusive perspectives, students explore how culture, care giving, and individual differences shape early development.

Full details for PSYCH 3440 - The Development of Infants

Humans are said to be social animals. This seminar provides an in-depth exploration of what it means to be social. Examples of topics to be covered include the fundamental need to belong and the affiliative system underlying cooperation; attachment and the proclivity to form strong affective ties throughout the life span; the biological bases of attraction and relationship formation; and the various consequences of thwarted relational needs, including the end of relationships through break-up, divorce, or death, and social alienation and chronic loneliness. We will focus on people's most intimate relationships - with partners, parents, and close friends - but will explore how our social nature is expressed in diverse ways - with unknown others, in social networks, and with political leaders, celebrities, and objects. These topics will be considered from diverse theoretical perspectives including work from social neuroscience, social, personality, developmental, cognitive, and evolutionary psychology, as well as drawing from work in communications, information science, sociology, and political science. Articles will be a combination of theoretical, review, or perspective pieces as well as empirical papers.

Full details for PSYCH 3450 - On Being Social

Full details for PSYCH 4110 - Writing, Inquiry, and Communicating in STEM

Full details for PSYCH 4220 - The Psychology of Misinformation

Although the hippocampus has been the subject of intense scrutiny for nearly 50 years, there remains considerable disagreement about functional contributions the hippocampus makes to learning and memory process. This course will examine the diverse functions attributed to the hippocampus with an eye toward integrating the differing viewpoints in the literature. After a brief historical overview, students will discuss cutting-edge literature on the hippocampal role in spatial navigation, learning, and memory, and context processing.

Full details for PSYCH 4230 - Navigation, Memory, and Context: What Does the Hippocampus Do?

This course will cover the psychology of imagination, possibility, and fiction looking across multiple disciplines including cognitive science, philosophy, neuroscience, and more.

Full details for PSYCH 4360 - Possibility and Imagination

Full details for PSYCH 4510 - Research Seminar on the Relational Mind

How has history shaped our notion of Black girlhood? What is our collective understanding of Black girlhood? How do we see and understand Black girls? Black Girlhood Studies is a multidisciplinary field that draws on education, literature, psychological, and sociological perspectives as tools to see and honor Black girls' lived experiences. In this seminar course, we will use a mixture of lectures and facilitated discussions to provide an overview of Black girlhood as it relates to historical and current-day social, political, and cultural constructions of Black girlhood within and beyond the United States. We will also interrogate how Black girls deconstruct and interrupt these social constructions by engaging in scholarly works, popular press articles, poetry, music, film, and novels. Throughout the course, we will make space to imagine a world where Black girls' ways of knowing, being, and experiencing the world are honored.

Full details for PSYCH 4560 - Black Girlhood Studies: Rememory, Representation, and Re-Imagination

Neurons generate action potentials. Brains underlie feeding, fighting, fleeing, and reproduction, also navigation, attention, sociality, art, and science. What about the middle part? This advanced seminar course examines the construction and transformations of neural representations that enable animals to comprehend and interact effectively with their environments. The curriculum emphasizes integration across levels of analysis and organization, including cellular and synaptic physiology, the emergent properties of networks, energy and information management, quantitative modeling, cognitive algorithms, and adaptive behavioral outcomes.

Full details for PSYCH 4600 - Neural Representations

Practice in planning, conducting, and reporting independent laboratory, field, and/or library research.

Full details for PSYCH 4700 - Undergraduate Research in Psychology

Advanced experience in planning, conducting, and reporting independent laboratory, field, and/or library research. One, and preferably two, semesters of PSYCH 4700 is required. The research should be more independent and/or involve more demanding technical skills than that carried out in PSYCH 4700.

Full details for PSYCH 4710 - Advanced Undergraduate Research in Psychology

Any moral and religious systems tell us to keep a “pure heart,” and that immoral acts “pollute” our souls. We dislike dirty plays and dirty players in sports, and we keep our children away from dirty movies. We are also motivated to maintain purity in the less metaphorical sense—most cultures have norms about keeping bodies and living spaces clean. We even have an emotion—disgust—that seems especially attuned to certain kinds of dirtiness (such as bodily fluids and rotten food). The concept of purity, then, appears to be a deep aspect of human psychology—from the basic motivation to maintain physical purity, to the metaphors of purity and cleanliness that feature heavily in morality and religion across cultures. In this course we will look at the psychology of purity by reading widely on the topic, including historical, religious, anthropological, and psychological topics that center on purity in both the physical and moral/spiritual sense. Our aim will be to understand how this basic notion of pure/impure or clean/dirty has come to shape our psychology and our culture.

Full details for PSYCH 4790 - Psychology of Purity

Moral Psychology in Action is an applied psychology course for students who want to make a difference in the world through ethical leadership and positive contributions in organizations, and who are drawn to scholarly work on psychology, ethics, and morality. The course is experiential and takes place mostly outside the classroom through students' individualized partnerships in community organizations, businesses, and institutions. Learning outcomes include enhanced critical reflection, intercultural competence, ethical practice, and the practice of applied moral psychology research methods.

Full details for PSYCH 4940 - Moral Psychology in Action

This course will expose students to a wide range of commonly used methods in neuroscience research (theory behind the method, common applications of the method, how data are collected and analyzed using the method, strengths and weaknesses of the method, etc.). The goal for students is that by the end of the course, they will be able to read and critically evaluate primary literature from many areas of neuroscience and to understand how the methods used in the study helped the researchers come to their conclusions. This course will explore methods including (but not necessarily limited to): microscopy, methods to visualize neuronal structure and function, electrophysiology, methods to neural activity, methods to measure and manipulate expression of genes/mRNA/protein, machine learning methods for behavioral analysis, and whole brain imaging methods in humans and non-human animals.

Full details for PSYCH 6020 - Methods in Neuroscience

Full details for PSYCH 6110 - Writing, Inquiry, and communicating in STEM

This course will cover special topics related to belief, metacognition, and reasoning.

Full details for PSYCH 6225 - Special Topics in Social Psychology

This course is offered to graduate students and focuses on discussion of topics in quantitative methods, with an emphasis on current books. Each semester students will work through a contemporary advanced monograph on methods. We will be using social annotation software to prepare for readings and then have class discussion of chapters. There will be a special emphasis on causal inference and foundational research methods.

Full details for PSYCH 6226 - Special Topics in Quantitative Psychology

Although the hippocampus has been the subject of intense scrutiny for nearly 50 years, there remains considerable disagreement about functional contributions the hippocampus makes to learning and memory process. This seminar will examine the diverse functions attributed to the hippocampus with an eye toward integrating the differing viewpoints in the literature. After a brief historical overview, students will discuss cutting-edge literature on the hippocampal role in spatial navigation, learning, and memory, and context processing.

Full details for PSYCH 6230 - Navigation, Memory, and Context: What Does the Hippocampus Do?

Course explores current issues in Psychology. Topics vary by section.

Full details for PSYCH 6271 - Topics in Biopsychology

Morality changes constantly. What is wrong in one situation is right in another. Children acquire new moral principles as they grow older. And over human history, societies have transformed their views on how to treat its members. How is moral change possible? And what is its direction-if it has one? In this seminar, we will engage with diverse perspectives on moral change. Readings will come from developmental, cognitive, and social psychological research on morality, as well as philosophy, history, and other related fields. Students will participate in weekly discussions, give a class presentation, and submit a final paper.

Full details for PSYCH 6315 - Moral Change

This course will cover the psychology of imagination, possibility, and fiction looking across multiple disciplines including cognitive science, philosophy, neuroscience, and more.

Full details for PSYCH 6360 - Possibility and Imagination

This course examines how morality, rules, their intersection, and related topics shape human thought and behavior. We will investigate why rules exist, what influences how people make moral judgments about those who break rules (and those who follow them), how rules relate to social institutions, and more. Drawing on research from philosophy, social, cognitive, and moral psychology, we will explore questions about moral judgment, norm enforcement, and more. Our discussions will also consider broader contexts—drawing on perspectives from philosophy, law, political science, and evolutionary biology to examine rules not only as psychological phenomena but as central features of institutions and social life.

Full details for PSYCH 6370 - Special Topics in Moral Psychology

Full details for PSYCH 6450 - On Being Social

Full details for PSYCH 6510 - Research Seminar on the Relational Mind

Neurons generate action potentials. Brains underlie feeding, fighting, fleeing, and reproduction, also navigation, attention, sociality, art, and science. What about the middle part? This advanced seminar course examines the construction of neural circuits and systems that enable achievement of behavioral goals. The curriculum emphasizes integration across levels of analysis and organizations, including cellular and synaptic physiology, the emergent properties of networks, energy and information management, quantitative modeling, cognitive algorithm, and adaptive behavioral outcomes.

Full details for PSYCH 6600 - Neural Representations

In this journal-club-style class we will read and discuss papers exploring a content-area in Cognition. For Spring 2026, readings will focus on relationships between language and thought (i.e., Linguistic Relativity). Do the languages we speak shape the way we think? If so, do people who speak different languages think differently? These seemingly innocent questions were considered taboo by scientists and philosophers throughout much of the 20th century. Today, however, these questions are the subject of productive scientific inquiry, and ongoing experiments are producing answers that rewrite the story of language, culture, and the human mind.

Full details for PSYCH 6655 - Topics in Cognition

Any moral and religious systems tell us to keep a “pure heart,” and that immoral acts “pollute” our souls. We dislike dirty plays and dirty players in sports, and we keep our children away from dirty movies. We are also motivated to maintain purity in the less metaphorical sense—most cultures have norms about keeping bodies and living spaces clean. We even have an emotion—disgust—that seems especially attuned to certain kinds of dirtiness (such as bodily fluids and rotten food). The concept of purity, then, appears to be a deep aspect of human psychology—from the basic motivation to maintain physical purity, to the metaphors of purity and cleanliness that feature heavily in morality and religion across cultures. In this course we will look at the psychology of purity by reading widely on the topic, including historical, religious, anthropological, and psychological topics that center on purity in both the physical and moral/spiritual sense. Our aim will be to understand how this basic notion of pure/impure or clean/dirty has come to shape our psychology and our culture.

Full details for PSYCH 6790 - Psychology of Purity

A graduate research seminar in biopsychology.

Full details for PSYCH 7000 - Research in Biopsychology

One of four introductory courses in cognition and perception. A comprehensive introduction to current thinking and research in developmental psychology that approaches problems from both psychobiological and cognitive perspectives. We will use a comparative approach to assess principles of development change. The course focuses on the development of perception, action, cognition, language, and social understanding in infancy and early childhood.

Full details for PSYCH 7090 - Developmental Psychology

A graduate research seminar in human experimental psychology.

Full details for PSYCH 7100 - Research in Human Experimental Psychology

A graduate research seminar in social psychology and personality.

Full details for PSYCH 7200 - Research in Social Psychology and Personality

A graduate seminar on doctoral thesis research in biopsychology.

Full details for PSYCH 9000 - Doctoral Thesis Research in Biopsychology

A graduate seminar on doctoral thesis research in human experimental psychology.

Full details for PSYCH 9100 - Doctoral Thesis Research in Human Experimental Psychology

A graduate seminar on doctoral thesis research in social psychology and personality.

Full details for PSYCH 9200 - Doctoral Thesis Research in Social Psychology and Personality

CHEM 1008 reviews material presented in CHEM 2080 lectures and also provides problem-solving strategies and practice.

Full details for CHEM 1008 - Academic Support for CHEM 2080

Reviews material presented in CHEM 3580 lectures and offers practice with CHEM 3580 material. Weekly review sessions focus on the most important topics covered in lecture and office hours held throughout the week are designed to help improve performance in CHEM 3580.

Full details for CHEM 1058 - Academic Support for CHEM 3580

This course centers on the critical reasoning skills required to solve freshmen chemistry problems. Our regular freshman chemistry classes (CHEM 1560, CHEM 2070, CHEM 2090 and CHEM 2150) all presuppose an understanding of the basic quantitative reasoning skills required to solve chemistry problems and focus their limited lecture time instead on the teaching of chemistry knowledge.

Full details for CHEM 1070 - General Chemistry I Workshop

Introduction to organic chemistry concepts with emphasis on structure, reactivity, and mechanisms of carbon compounds relevant to the life sciences.

Full details for CHEM 1570 - Introduction to Organic and Biological Chemistry

Solve It! will teach the skill of solving cognitively challenging general chemistry questions, such as students receive in CHEM 2070. Students will explore Polya's method of problem solving while solving problems on unit conversions, combustion analysis, limiting reactants, isotopes, the Bohr model, periodic trends, 3-D Lewis structures, atomic orbitals, molecular orbitals, ideal gases, and the kinetic theory of gases. In addition, students will learn fundametal arithmetic and mathematical skills.

Full details for CHEM 1729 - Solve It!

CHEM 2070 is the lecture component of General Chemistry I. Covers fundamental chemical principles, with considerable attention given to the quantitative aspects and techniques important for further work in chemistry. Main topics include chemical transformations and equations, periodic trends of the elements, electronic structure of atoms, chemical bonding, and the collective behavior of molecules.

Full details for CHEM 2070 - General Chemistry I

This is the laboratory component of CHEM 2070 General Chemistry I. Covers fundamental chemical principles, with considerable attention given to the quantitative aspects and techniques important for further work in chemistry. Main topics include chemical transformations and equations, periodic trends of the elements, electronic structure of atoms, chemical bonding, and the collective behavior of molecules.

Full details for CHEM 2071 - General Chemistry I Laboratory

CHEM 2080 is the lecture component of General Chemistry II. Covers fundamental chemical principles, including reaction kinetics, thermodynamics, and equilibrium. These principles are presented quantitatively and explored in the laboratory. Considerable attention is given to the quantitative calculations and techniques important for further work in chemistry.

Full details for CHEM 2080 - General Chemistry II

CHEM 2081 is the laboratory component of General Chemistry II. Covers fundamental chemical principles, including reaction kinetics, thermodynamics, and equilibrium. These principles are presented quantitatively and explored in the laboratory. Considerable attention is given to the quantitative calculations and techniques important for further work in chemistry.

Full details for CHEM 2081 - General Chemistry II Laboratory

CHEM 2090 is the lecture component of Engineering General Chemistry. Covers basic chemical concepts, such as reactivity and bonding of molecules, introductory quantum mechanics, and intermolecular forces in liquids and solids and gases. Attention will be focused on aspects and applications of chemistry most pertinent to engineering.

Full details for CHEM 2090 - Engineering General Chemistry

CHEM 2091 is the laboratory component of CHEM 2090 Engineering General Chemistry. Covers basic chemical concepts, such as reactivity and bonding of molecules, introductory quantum mechanics, and intermolecular forces in liquids and solids and gases. Attention will be focused on aspects and applications of chemistry most pertinent to engineering.

Full details for CHEM 2091 - Engineering General Chemistry Laboratory

Introduction to the synthesis, separation, characterization, and handling of materials, including chromatography, extraction, crystallization, infrared spectroscopy, and others. An experiment is performed the first week of lab. Students need to enroll in the course Canvas site and complete the appropriate pre-lab assignments outlined on that site before coming to the first lab.

Full details for CHEM 2510 - Introduction to Experimental Organic Chemistry

CHEM 2770 is the first teaching methods companion class to CHEM 2070 and CHEM 2080. CHEM 2770 students will co-lead weekly 2-hour review sessions; meet in 2-hour group meetings to develop and refine teaching materials; attend a 1-hour discussion class on a current STEM pedagogical theory; and assess teaching progress for 1-hour (all activities on a weekly basis).

Full details for CHEM 2770 - Methods in Chemical Education I

CHEM 2780 is the second teaching methods companion class to CHEM 2070 and CHEM 2080. CHEM 2780 students will co-lead weekly 2-hour review sessions; meet in 2-hour group meetings to develop and refine teaching materials; attend a 1-hour discussion class on a current STEM pedagogical theory; and assess teaching progress for 1-hour (all activities on a weekly basis).

Full details for CHEM 2780 - Methods in Chemical Education II

Survey of the methods basic to the experimental study of physical chemistry, with a focus on the areas of chemical equilibrium, kinetics, thermodynamics, and molecular spectroscopy.

Full details for CHEM 2900 - Introductory Physical Chemistry Laboratory

Introduction to the techniques of synthetic organic chemistry. A representative selection of the most important classes of organic reactions is explored in the first half of the semester, augmented by lectures on the reaction chemistry and the theory of separation and characterization techniques.

Full details for CHEM 3010 - Honors Experimental Chemistry I

Introduction to experimental physical chemistry, including topics in spectroscopy and kinetics. The analysis and numerical simulation of experimental data is stressed.

Full details for CHEM 3030 - Honors Experimental Chemistry III

Study of the important classes of carbon compounds-including those encountered in the biological sciences. The course emphasizes their three-dimensional structures, mechanisms of their characteristic reactions, their synthesis, methods of identifying them, and their role in modern science and technology.

Full details for CHEM 3570 - Organic Chemistry for the Life Sciences

The course emphasizes the important classes of organic compounds, with particular emphasis on their three-dimensional structures, mechanisms of their characteristic reactions, their synthesis, methods for their identification, and their applications in modern technology and medicine.

Full details for CHEM 3580 - Organic Chemistry for the Life Sciences

The course provides an intensive introduction to organic chemistry as a solid foundation for subsequent study in the fields of chemical, biological, materials and physical sciences. Students will learn a set of important tools and concepts that will enable appreciation and powerful application of modern organic chemistry.

Full details for CHEM 3590 - Honors Organic Chemistry I

This course builds on principles of physical chemistry as can be applied to molecular biochemistry and cell biology. Topics include thermodynamics of solutions, equilibrium binding and kinetics of biomolecular processes, oxidation-reduction reactions and electrochemical potential of membranes, and spectroscopy to examine structures and dynamics.

Full details for CHEM 3880 - Basics of Biophysical Chemistry

CHEM 3900 is a continuation of CHEM 3890 and discusses the thermodynamic behavior of macroscopic systems in the context of quantum and statistical mechanics. After an introduction to the behavior of ensembles of quantum mechanical particles, the laws of thermodynamics, concepts of equilibrium, and chemical kinetics are covered in detail.

Full details for CHEM 3900 - Honors Physical Chemistry II

This course will introduce STEM students to the challenges of planning, financing, launching, and managing a new scientifically oriented business venture. The course focusses on case studies together with presentations by entrepreneurs in the chemical, pharmaceutical, and life sciences industries. Topics include new technology evaluation, IP assessment and management, business formation, resource allocation, personnel development, as well as manufacturing and sales issues

Full details for CHEM 4040 - Entrepreneurship in Chemical Enterprise

Discussion of chemical bonding and reactivity with an emphasis on the transition metals. A ground up approach will be taken, building bonding models from atomic electronic structure to molecular orbital theory. Course will also introduce concepts germane to solid state chemistry, bioinorganic chemistry, and organometallic catalysis.

Full details for CHEM 4100 - Inorganic Chemistry

Research in inorganic chemistry involving both laboratory and library work, planned in consultation with a faculty member.

Full details for CHEM 4210 - Introduction to Inorganic Chemistry Research

Research in analytical chemistry involving both laboratory and library work, planned in consultation with a faculty member.

Full details for CHEM 4330 - Introduction to Analytical Chemistry Research

Research in chemical biology involving both laboratory and library work, planned in consultation with a faculty member.

Full details for CHEM 4430 - Introduction to Chemical Biology Research

Research in organic chemistry involving both laboratory and library work, planned in consultation with a faculty member.

Full details for CHEM 4610 - Introduction to Organic Chemistry Research

Research in physical chemistry involving both laboratory and library work, planned in consultation with a faculty member.

Full details for CHEM 4770 - Introduction to Physical Chemistry Research

This course provides a broad overview of modern computational methods in Chemistry. Topics covered will include investigating the statistical mechanics of condensed phase chemical systems using Monte Carlo and Molecular Dynamics, quantum mechanical characterization of molecular energetics and structure using Electronic Structure Theory (Hartree Fock, Perturbation Theory, and Density Functional Theory), and time-dependent approaches to investigate chemical reaction dynamics and kinetics.Lab work will be an integral component of this course and will involve introductory scientific programming, and the use of commercially available scientific software. The midterms will be an in-class presentation and a half-semester long computational project will determine final grades in the course.

Full details for CHEM 4810 - Computational Methods in Chemistry

In the Chemistry Honors Seminar students will present their research in written and oral form. The course will also include a broader discussion of professional issues and life skills in the world of chemistry.

Full details for CHEM 4980 - Honors Seminar

Full details for CHEM 5040 - Entrepreneurship in Chemical Enterprise

Supervision of Capstone Research Project.

Full details for CHEM 5120 - Capstone Research Project

This course provides a broad overview of modern computational methods in Chemistry. Topics covered will include investigating the statistical mechanics of condensed phase chemical systems using Monte Carlo and Molecular Dynamics, quantum mechanical characterization of molecular energetics and structure using Electronic Structure Theory (Hartree Fock, Perturbation Theory, and Density Functional Theory), and time-dependent approaches to investigate chemical reaction dynamics and kinetics.

Full details for CHEM 5810 - Computational Methods in Chemistry

This course will provide a foundational background in the science of nanoscale materials, a research field that has been extremely active for more than twenty years. Simplified models of quantum mechanics, band theory, statistical mechanics, thermodynamics, and surface science will be presented. This theoretical background will be used to understand the structure and properties of inorganic materials, such as nanocrystals and nanowires, and organic materials, such as carbon nanotubes, graphene, and p-conjugated molecules. Previous exposure to quantum mechanics at the level of the Schrodinger equation will be assumed. The intended audience is first-year graduate students and upper-level undergraduate students in chemistry and related fields, including applied physics, physics, and materials/chemical/electrical/mechanical engineering.

Full details for CHEM 6090 - Nanomaterials: Chemistry and Physics

Application of NMR spectroscopy and high-resolution mass spectroscopy in organic chemistry, metabolomics, chemical biology, synthesis, inorganic chemistry, and polymer chemistry. Optional labs provide hands-on experience with NMR and MS instruments in the Cornell Chemistry Department and at Boyce Thompson Institute.

Full details for CHEM 6250 - Advanced Analytical Chemistry I

Fundamentals and applications of electrochemistry. Topics include the fundamentals of electrode kinetics, electron transfer theory, the electrical double layer, diffusion, and other modes of mass transport. A broad range of electrochemical methods, techniques and instrumentation will also be covered. Additional subjects may be covered depending on class interest.

Full details for CHEM 6290 - Electrochemistry

Full details for CHEM 6400 - Bioinorganic Chemistry

Modern techniques and strategies of organic synthesis including catalysis, radical chemistry, photochemistry, and electrochemistry, application of organic reaction mechanisms and retrosynthetic analysis to the problems encountered in rational multistep synthesis, with particular emphasis on modern development in synthesis design.

Full details for CHEM 6660 - Synthetic Organic Chemistry

Emphasizes general concepts and fundamental principles of polymer chemistry.

Full details for CHEM 6700 - Fundamental Principles of Polymer Chemistry

This course builds on principles of physical chemistry as can be applied to molecular biochemistry and cell biology. Topics include thermodynamics of solutions, equilibrium binding and kinetics of biomolecular processes, oxidation-reduction reactions and electrochemical potential of membranes, and spectroscopy to examine structures and dynamics.

Full details for CHEM 6880 - Basics of Biophysical Chemistry

CHEM 6900 is a continuation of CHEM 6890 and discusses the thermodynamic behavior of macroscopic systems in the context of quantum and statistical mechanics. After an introduction to the behavior of ensembles of quantum mechanical particles, the laws of thermodynamics, concepts of equilibrium, and chemical kinetics are covered in detail.

Full details for CHEM 6900 - Honors Physical Chemistry II

This course will introduce students to analytical and computational methods useful for graduate-level research in both experimental and theoretical physical chemistry. These methods will be used to explore interesting topics in quantum mechanics and statistical mechanics. The goal of this course is to bridge the gap between the analytical techniques taught in introductory courses and the computational (and visualization) methods required for modern research problems. Topics explored will include: scientific programming and visualization, numerical solution of the Schrodinger equation, linear and nonlinear optimization techniques, stochastic/Monte Carlo methods, and Machine Learning.

Full details for CHEM 7870 - Computational Methods of Physical Chemistry

Course will cover: 1) the physics of scattering and image formation, 2) macromolecular crystallography, 3) small-angle X-ray scattering, and 4) cryo-electron microscopy. Students will learn the theoretical principles of structural biology and gain practical experience with modern methods in data processing, structure determination, refinement, validation, and interpretation.

Full details for CHEM 7880 - Modern Methods in Structural Biology

Full details for CHEM 7940 - Quantum Mechanics II

Reviews material presented in MATH 1106 lectures and provides further instruction for students who need reinforcement, including problem-solving techniques and tips as well as prelim review. Not a substitute for attending MATH 1106 lectures or discussions. Students should contact their college for the most up-to-date information regarding if and how credits for this course will count toward graduation, and/or be considered regarding academic standing.

Full details for MATH 1006 - Academic Support for MATH 1106

Reviews material presented in MATH 1110 lectures and provides further instruction for students who need reinforcement, including problem-solving techniques and tips as well as prelim review. Not a substitute for attending MATH 1110 lectures or discussions. Students should contact their college for the most up-to-date information regarding if and how credits for this course will count toward graduation, and/or be considered regarding academic standing.

Full details for MATH 1011 - Academic Support for MATH 1110

Reviews material presented in MATH 1120 lectures and provides further instruction for students who need reinforcement, including problem-solving techniques and tips as well as prelim review. Not a substitute for attending MATH 1120 lectures or discussions. Students should contact their college for the most up-to-date information regarding if and how credits for this course will count toward graduation, and/or be considered regarding academic standing.

Full details for MATH 1012 - Academic Support for MATH 1120

Introduction to linear algebra, probability, and Markov chains that develops the parts of the theory most relevant for applications. Topics include equations of lines, the method of least squares, solutions of linear systems, matrices; basic concepts of probability, permutations, combinations, binomial distribution, mean and variance, and the normal approximation to the binomial distribution. Examples from biology and the social sciences are used.

Full details for MATH 1105 - Finite Mathematics for the Life and Social Sciences

The goal of this course is to give students a strong basis in quantitative skills needed in the life and social sciences. We will focus on modeling using fundamental concepts from calculus developed in the course, including derivatives, integrals, and introductory differential equations. Examples from the life sciences are used throughout the course, including predator-prey populations. We will discuss mathematical models describing the evolution of these populations, analyze quantitative and qualitative properties to make predictions about these populations, and discuss assumptions and limitations of these models. Derivatives and integrals will be covered with a more applied focus than in MATH 1110 or a typical high school calculus course. Students who plan to take more than one semester of calculus should take MATH 1110 rather than MATH 1106.

Full details for MATH 1106 - Modeling with Calculus for the Life Sciences

MATH 1110 can serve as a one-semester introduction to calculus or as part of a two-semester sequence in which it is followed by MATH 1120. Topics include functions and graphs, limits and continuity, differentiation and integration of algebraic, trigonometric, inverse trig, logarithmic, and exponential functions; applications of differentiation, including graphing, max-min problems, tangent line approximation, implicit differentiation, and applications to the sciences; the mean value theorem; and antiderivatives, definite and indefinite integrals, the fundamental theorem of calculus, and the area under a curve.

Full details for MATH 1110 - Calculus I

Focuses on integration: applications, including volumes and arc length; techniques of integration, approximate integration with error estimates, improper integrals, differential equations and their applications. Also covers infinite sequences and series: definition and tests for convergence, power series, Taylor series with remainder, and parametric equations.

Full details for MATH 1120 - Calculus II

For students who wish to experience how mathematical ideas naturally evolve. The course emphasizes ideas and imagination rather than techniques and calculations. Homework involves students in actively investigating mathematical ideas. Topics vary depending on the instructor. Some assessment through writing assignments.

Full details for MATH 1300 - Mathematical Explorations

We apply mathematical reasoning to problems arising in the social sciences. We discuss game theory and its applications to questions of governing and the analysis of political conflicts. The problem of finding fair election procedures to choose among three or more alternatives is analyzed.

Full details for MATH 1340 - Strategy, Cooperation, and Conflict

Introductory statistics course discussing techniques for analyzing data occurring in the real world and the mathematical and philosophical justification for these techniques. Topics include population and sample distributions, central limit theorem, statistical theories of point estimation, confidence intervals, testing hypotheses, the linear model, and the least squares estimator. The course concludes with a discussion of tests and estimates for regression and analysis of variance (if time permits). The computer is used to demonstrate some aspects of the theory, such as sampling distributions and the Central Limit Theorem. In the lab portion of the course, students learn and use computer-based methods for implementing the statistical methodology presented in the lectures.

Full details for MATH 1710 - Statistical Theory and Application in the Real World

Essentially a second course in calculus and the first in a sequence designed for engineers that assumes familiarity with differential calculus at the level of MATH 1110. Topics include techniques of integration, finding areas and volumes by integration, exponential growth, partial fractions, infinite sequences and series, tests of convergence, and power series.

Full details for MATH 1910 - Calculus for Engineers

Introduction to multivariable calculus. Topics include partial derivatives, double and triple integrals, line and surface integrals, vector fields, Green's theorem, Stokes' theorem, and the divergence theorem.

Full details for MATH 1920 - Multivariable Calculus for Engineers

An introduction to linear algebra for students who plan to major or minor in mathematics or a related field. Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. Lectures will introduce students to formal proofs, and students will be required to produce some proofs in their homework and on exams. For a more applied version of this course, see MATH 2310.

Full details for MATH 2210 - Linear Algebra

An introduction to multivariable calculus for students who plan to major or minor in mathematics or a related field. Topics include differential and integral calculus of functions in several variables, line and surface integrals as well as the theorems of Green, Stokes and Gauss.

Full details for MATH 2220 - Multivariable Calculus

Designed for students who have been extremely successful in their previous calculus courses and for whom the notion of solving very hard problems and writing careful proofs is highly appealing, MATH 2230-MATH 2240 provides an integrated treatment of linear algebra and multivariable calculus at a higher theoretical level than in MATH 2210-MATH 2220. Topics covered in MATH 2240 include vector fields; line integrals; differential forms and exterior derivative; work, flux, and density forms; integration of forms over parametrized domains; and Green's, Stokes', and divergence theorems.

Full details for MATH 2240 - Theoretical Linear Algebra and Calculus

An introduction to linear algebra for students interested in applications to data science. The course diverges from traditional linear algebra courses by emphasizing data science applications while teaching similar concepts. Key topics include matrices as data tables, high-dimensional datasets, singular value decomposition for data compression, and linear transformations in computer graphics. Students who take MATH 2310 may need more foundational coursework before pursuing further study in mathematics.

Full details for MATH 2310 - Linear Algebra for Data Science

An introduction to ordinary and partial differential equations. Topics include first-order equations (separable, linear, homogeneous, exact); mathematical modeling (e.g., population growth, terminal velocity); qualitative methods (slope fields, phase plots, equilibria and stability); numerical methods; second-order equations (method of undetermined coefficients, application to oscillations and resonance, boundary-value problems and eigenvalues); and Fourier series. A substantial part of this course involves partial differential equations, such as the heat equation, the wave equation, and Laplace's equation. MATH 2930 and MATH 2940 are independent and can be taken in either order; they should not be taken in the same semester.

Full details for MATH 2930 - Differential Equations for Engineers

Linear algebra and its applications. Topics include matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and inner product spaces. Applications include brief introductions to difference equations, Markov chains, and systems of linear ordinary differential equations. May include computer use in solving problems. MATH 2930 and MATH 2940 are independent and can be taken in either order; they should not be taken in the same semester.

Full details for MATH 2940 - Linear Algebra for Engineers

A useful course for students who wish to improve their skills in mathematical proof and exposition, or who intend to study more advanced topics in mathematics. The methodology of proof provides a central tool for confirming the validity of mathematical assertions, functioning much as the experimental method does in the physical sciences. We will study various methods of mathematical proof, starting with basic techniques in propositional and predicate calculus and in set theory and combinatorics, then moving to applications and illustrations of these via topics in one or more of the three main pillars of mathematics: algebra, analysis, and geometry. Because cogent communication of mathematical ideas is important in the presentation of proofs, the course emphasizes clear, concise exposition.

Full details for MATH 3040 - Prove It!

Provides a transition from calculus to real analysis. Topics include rigorous treatment of fundamental concepts in calculus: including limits and convergence of sequences and series, compact sets; continuity, uniform continuity and differentiability of functions. Emphasis is placed upon understanding and constructing mathematical proofs.

Full details for MATH 3110 - Introduction to Analysis

An introductory course on number theory, the branch of algebra that studies the deeper properties of integers and their generalizations. Usually includes most of the following topics: the Euclidean algorithm, continued fractions, Pythagorean triples, Diophantine equations such as Pell's equation, congruences, quadratic reciprocity, binary quadratic forms, Gaussian integers, and factorization in quadratic number fields. May include a brief introduction to Fermat's Last Theorem.

Full details for MATH 3320 - Introduction to Number Theory

An introduction to structures of abstract algebra, including groups, rings, fields, factorization of polynomials and integers, congruences, and the structure of finite abelian groups. Additional topics include modules over Euclidean domain and Sylow theorems. Students considering graduate school in mathematics might consider taking MATH 4330 after MATH 3340.

Full details for MATH 3340 - Abstract Algebra

Introduction to the concepts and methods of abstract algebra that are of interest in applications. Covers the basic theory of groups, rings, and fields and their applications to such areas as public-key cryptography and error-correcting codes. Applications include the RSA cryptosystem and use of finite fields to construct error-correcting codes. Topics include elementary number theory, Euclidean algorithm, prime factorization, congruences, theorems of Fermat and Euler, elementary group theory, Chinese remainder theorem, factorization in the ring of polynomials, and classification of finite fields.

Full details for MATH 3360 - Applicable Algebra

A mathematical study of the formal languages of standard first-order propositional and predicate logic, including their syntax, semantics, and deductive systems. The basic apparatus of model theory will be presented. Various formal results will be established, most importantly soundness and completeness.

Full details for MATH 3810 - Deductive Logic

Introduction to the rigorous theory underlying calculus, covering the real number system and functions of one variable. Topics typically include construction of the real number system, properties of the real number system, continuous functions, differential and integral calculus of functions of one variable, sequences and series of functions. Based entirely on proofs. The student is expected to know how to read and, to some extent, construct proofs before taking this course. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4130 - Honors Introduction to Analysis I

A proof-based introduction to further topics in analysis. Topics may include the Lebesgue measure and integration, functions of several variables, differential calculus, implicit function theorem, infinite dimensional normed and metric spaces, Fourier series, and ordinary differential equations.

Full details for MATH 4140 - Honors Introduction to Analysis II

A theoretical and rigorous introduction to complex variable theory recommended for students who plan to attend graduate school in mathematics. Topics include complex numbers, differential and integral calculus for functions of a complex variable, including Cauchy's theorem and the calculus of residues, elements of conformal mapping. Students will be expected to be comfortable writing proofs. For applications of complex analysis, consider MATH 4220 rather than MATH 4180.

Full details for MATH 4180 - Complex Analysis

Covers ordinary differential equations in one and higher dimensions: qualitative, analytic, and numerical methods. Emphasis is on differential equations as models and the implications of the theory for the behavior of the system being modeled and includes an introduction to bifurcations. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4200 - Differential Equations and Dynamical Systems

Introduction to the fundamentals of numerical linear algebra: direct and iterative methods for linear systems, eigenvalue problems, singular value decomposition. In the second half of the course, the above are used to build iterative methods for nonlinear systems and for multivariate optimization. Strong emphasis is placed on understanding the advantages, disadvantages, and limits of applicability for all the covered techniques. Computer programming is required to test the theoretical concepts throughout the course.

Full details for MATH 4260 - Numerical Analysis: Linear and Nonlinear Problems

Topics are selected from first-order quasilinear equations, classification of second-order equations, with emphasis on maximum principles, existence, uniqueness, stability, and Fourier series methods. Additional topics as time permits. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4280 - Introduction to Partial Differential Equations

Introduction to linear algebra, including the study of vector spaces, linear transformations, matrices, and systems of linear equations. Additional topics include quadratic forms and inner product spaces, canonical forms for various classes of matrices and linear transformations. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course. Undergraduates who plan to attend graduate school in mathematics should take MATH 4330 instead of MATH 4310.

Full details for MATH 4310 - Linear Algebra

Honors version of a course in abstract algebra, which treats the subject from an abstract and axiomatic viewpoint, including universal mapping properties. Topics include groups, groups acting on sets, Sylow theorems; rings, Euclidean domains, factorization, structure theorem of finitely generated modules over a principal ideal domain; fields, root adjunction, finite fields, introduction to Galois theory. The course emphasizes understanding the theory with proofs in both homework and exams. MATH 4330-MATH 4340 is recommended for undergraduates who plan to attend graduate school in mathematics. For a less theoretical course that covers subject matter similar to MATH 4340, see MATH 3340.

Full details for MATH 4340 - Honors Introduction to Algebra

Continuation of MATH 4410, although formally independent of the material covered there. The emphasis here is the study of certain combinatorial structures, such as Latin squares and combinatorial designs (which are of use in statistical experimental design), classical finite geometries and combinatorial geometries (also known as matroids, which arise in many areas from algebra and geometry through discrete optimization theory). We introduce partially ordered sets and lattices, including general Möbius inversion and its application, as well as the Polya theory of counting in the presence of symmetries. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4420 - Introduction to Combinatorics II

Matrix groups are central to mathematics and important in physics and engineering. The objects of study are classes of matrices (e.g., orthogonal, unitary, or symplectic) with both algebraic (groups) and geometric/topological (manifolds) structure. Thus the course is a mixture of algebra, geometry/topology, and a little analysis. Topics include Lie algebras (an extension of the notion of vector multiplication in three-dimensional space), the exponential mapping (a generalization of the exponential function of calculus), and representation theory (which studies different ways groups can be represented by matrices). Concrete examples will be emphasized. Background not included in the prerequisites will be developed as needed. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4500 - Matrix Groups

Differential geometry involves using calculus to study geometric concepts such as curvature and geodesics. This introductory course focuses on the differential geometry of curves and surfaces. It may also touch upon the higher-dimensional generalizations, Riemannian manifolds, which underlie the study of general relativity. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4540 - Introduction to Differential Geometry

An introduction to probability theory that prepares the student to take MATH 4720. The course begins with basics: combinatorial probability, mean and variance, independence, conditional probability, and Bayes formula. Density and distribution functions and their properties are introduced. The law of large numbers and central limit theorem are stated and their implications for statistics are discussed.

Full details for MATH 4710 - Basic Probability

Introduction to classical theory of parametric statistical inference that builds on the material covered in BTRY 3080. Topics include: sampling distributions, principles of data reduction, likelihood, parameter estimation, hypothesis testing, interval estimation, and basic asymptotic theory.

Full details for MATH 4720 - Theory of Statistics

A one-semester introduction to stochastic processes which develops the theory together with applications. Covers Markov chains in discrete and continuous time and Poisson processes. Other topics may include queuing theory, martingales, Brownian motion, and option pricing. This course may be useful to graduate students in the biological sciences or other disciplines who encounter stochastic models in their work but who do not have the background for more advanced courses such as ORIE 6500. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4740 - Stochastic Processes

Topics chosen from propositional logic, first-order logic, and higher-order logic, both classical and intuitionistic versions, including completeness, incompleteness, and compactness results. Natural deduction and tableaux style logics and connection to the lambda calculus and programming languages and logics, and program verification. Other topics chosen from equational logic, Herbrand universes and unification, rewrite rules and Knuth-Bendix method, and the congruence-closure algorithm and lambda-calculus reduction strategies. Modal logics, intuitionistic logic, computational logics and programming languages (e.g., LISP, ML, or Nuprl). Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 4860 - Applied Logic

An independent research course by arrangement with an individual professor. The goal is for the student to perform an independent investigation into a specific mathematical question. The student and professor will set expectations and grading policies at the beginning of the term.

Full details for MATH 4900 - Supervised Research

An independent reading course by arrangement with an individual professor. The goal is for the student to master a body of mathematics outside the normal curriculum. The student and professor will set expectations and grading policies at the beginning of the term.

Full details for MATH 4901 - Supervised Reading

Examines principles underlying the content of the secondary school mathematics curriculum, including connections with the history of mathematics, technology, and mathematics education research. One credit is awarded for attending two Saturday workshops (see e.math.cornell.edu/classes/math5080) and writing a paper. Other credit options are available for students completing additional work, such as tutoring at a local middle school or completing a research paper or project. Does not count toward the math major or math minor and will not count as degree credits for A&S students.

Full details for MATH 4980 - Special Study for Mathematics Teaching

Examines principles underlying the content of the secondary school mathematics curriculum, including connections with the history of mathematics, technology, and mathematics education research.

Full details for MATH 5080 - Special Study for Teachers

Covers ordinary differential equations in one and higher dimensions: qualitative, analytic, and numerical methods. Emphasis is on differential equations as models and the implications of the theory for the behavior of the system being modeled and includes an introduction to bifurcations. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 5200 - Differential Equations and Dynamical Systems

Continuation of MATH 5410, although formally independent of the material covered there. The emphasis here is the study of certain combinatorial structures, such as Latin squares and combinatorial designs (which are of use in statistical experimental design), classical finite geometries and combinatorial geometries (also known as matroids, which arise in many areas from algebra and geometry through discrete optimization theory). We introduce partially ordered sets and lattices, including general Möbius inversion and its application, as well as the Polya theory of counting in the presence of symmetries. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Full details for MATH 5420 - Introduction to Combinatorics II

Provides graduate students with an introduction to core concepts in teaching and learning mathematics. Participants read and discuss articles and videos, reflect on their own teaching and learning experiences, and engage in collaborative activities that help them become more effective teachers, learners, and communicators. Students will observe peers and faculty and reflect on their observations. Especially valuable for those considering teaching mathematics at some point in their careers, or who want to improve their own mathematics learning skills. Students are expected to have taken the Math TA training prior to enrolling in the course.

Full details for MATH 6080 - Teaching and Learning Mathematics

MATH 6110-6120 are the core analysis courses in the mathematics graduate program. MATH 6120 covers complex analysis, Fourier analysis, and distribution theory.

Full details for MATH 6120 - Complex Analysis

This course highlights applications of functional analysis to the theory of partial differential equations (PDEs). It covers parts of the basic theory of linear (elliptic and evolutionary) PDEs, including Sobolev spaces, existence and uniqueness of solutions, interior and boundary regularity, maximum principles, and eigenvalue problems. Additional topics may include: an introduction to variational problems, Hamilton-Jacobi equations, and other modern techniques for non-linear PDEs.

Full details for MATH 6160 - Partial Differential Equations

Functional analysis is a branch of mathematical analysis that mainly focuses on the study of infinite-dimensional vector spaces and the operators acting upon them. It builds upon results and ideas from linear algebra and real and complex analysis to develop general frameworks that can be used to study analytical problems. Functional analysis plays a pivotal role in several areas of mathematics, physics, engineering, and even in some areas of computer science and economics. This course will cover the basic theory of Banach, Hilbert, and Sobolev spaces, as well as explore several notable applications, from analyzing partial differential equations (PDEs), numerical analysis, inverse problems, control theory, optimal transportation, and machine learning.

Full details for MATH 6220 - Applied Functional Analysis

MATH 6310-MATH 6320 are the core algebra courses in the mathematics graduate program. MATH 6320 covers Galois theory, representation theory of finite groups, and introduction to homological algebra.

Full details for MATH 6320 - Algebra

Covers Dedekind domains, primary decomposition, Hilbert basis theorem, and local rings. May be taken concurrently with MATH 6310.

Full details for MATH 6340 - Commutative Algebra with Applications in Algebraic Geometry

A first course on homological algebra. Topics will include a brief introduction to categories and functors, chain and cochain complexes, operations on complexes, (co)homology, standard resolutions (injective, projective, flat), classical derived functors, Tor and Ext, Yoneda's interpretation of Ext, homological dimension, rings of small dimensions, introduction to group cohomology.

Full details for MATH 6350 - Homological Algebra

An introduction to number theory focusing on the algebraic theory. Topics include, but are not limited to, number fields, Dedekind domains, class groups, Dirichlet's unit theorem, local fields, ramification, decomposition and inertia groups, and the distribution of primes.

Full details for MATH 6370 - Algebraic Number Theory

MATH 6510-MATH 6520 are the core topology courses in the mathematics graduate program. MATH 6510 is an introductory study of certain geometric processes for associating algebraic objects such as groups to topological spaces. The most important of these are homology groups and homotopy groups, especially the first homotopy group or fundamental group, with the related notions of covering spaces and group actions. The development of homology theory focuses on verification of the Eilenberg-Steenrod axioms and on effective methods of calculation such as simplicial and cellular homology and Mayer-Vietoris sequences. If time permits, the cohomology ring of a space may be introduced.

Full details for MATH 6510 - Algebraic Topology

A first course in algebraic geometry. Affine and projective varieties. The Nullstellensatz. Schemes and morphisms between schemes. Dimension theory. Potential topics include normalization, Hilbert schemes, curves and surfaces, and other choices of the instructor.

Full details for MATH 6670 - Algebraic Geometry

The second course in a graduate probability series. Topics include conditional expectation, martingales, Markov chains, Brownian motion, and (time permitting) elements of stochastic integration.

Full details for MATH 6720 - Probability Theory II

This class will cover fundamental concepts in mathematical statistics, including both finite sample and asymptotic theory. Specific topics include: elements of risk optimality, Cramer-Rao-type bounds; M-estimation with an emphasis on Maximum Likelihood Estimation, asymptotic efficiency, asymptotic testing under fixed and local alternatives; multiple testing under FDR control; estimation in high dimensions and adaptation to sparsity, the analysis of Lasso-type estimators; elements of concentration inequalities.

Full details for MATH 6730 - Mathematical Statistics I

Covers basic topics in mathematical logic, including propositional and predicate calculus; formal number theory and recursive functions; completeness and incompleteness theorems, compactness and Skolem-Loewenheim theorems. Other topics as time permits.

Full details for MATH 6810 - Logic

Selection of advanced topics from analysis. Course content varies.

Full details for MATH 7110 - Topics in Analysis

Selection of advanced topics from analysis. Course content varies.

Full details for MATH 7120 - Topics in Analysis

A seminar on an advanced topic in topology or a related subject. Content varies. The format is usually that the participants take turns to present.

Full details for MATH 7520 - Berstein Seminar in Topology

Selection of advanced topics from modern algebraic, differential, and geometric topology. Content varies.

Full details for MATH 7580 - Topics in Topology

Selection of advanced topics from modern geometry. Content varies.

Full details for MATH 7620 - Topics in Geometry

A twice weekly seminar in logic. Typically, a topic is selected for each semester, and at least half of the meetings of the course are devoted to this topic with presentations primarily by students. Opportunities are also provided for students and others to present their own work and other topics of interest.

Full details for MATH 7820 - Seminar in Logic

Supervised research for the doctoral dissertation.

Full details for MATH 7900 - Supervised Reading and Research