This course provides an introduction to the science of the mind. Everyone knows what it's like to think and perceive, but this subjective experience provides little insight into how minds emerge from physical entities like brains. To address this issue, cognitive science integrates work from at least five disciplines: Psychology, Neuroscience, Computer Science, Linguistics, and Philosophy. This course introduces students to the insights these disciplines offer into the workings of the mind by exploring visual perception, attention, memory, learning, problem solving, language, and consciousness. 

Catalog Distribution: (ETM-AS, KCM-AS)

Full details for PSYCH 1102 - Introduction to Cognitive Science

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 1104 - WIM: Introduction to Cognitive Science

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

Introduction to Human Development provides a broad and foundational overview of field of human development, starting from conception and ending through process of death and dying. The course will start with an outline and explanation of the lifespan perspective in human development. The biological beginnings of life and prenatal development will serve as the start of the discussion of human development, followed by an exploration of physical, cognitive, and socioemotional development at each subsequent stage within the lifespan (e.g., infancy, early childhood, middle & late childhood, etc.). Discussion of each developmental stage will highlight major research findings and their real-world application.

Catalog Distribution: (SBA-AS, SSC-AS)

Full details for PSYCH 1131 - Introduction to Human Development

Full details for PSYCH 2020 - Experimental Psychology: Learning

Full details for PSYCH 2050 - Perception

One of four introductory courses in cognition and perception. 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.

Catalog Distribution: (ETM-AS, KCM-AS)

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

Provides an introduction to the psychology of language. The purpose of the course is to introduce students to the scientific study of psycholinguistic phenomena. Covers a broad range of topics from psycholinguistics, including the origin of language, the different components of language (phonology, morphology, syntax, and semantics), processes involved in reading, computational modeling of language processes, the acquisition of language (both under normal and special circumstances), and the brain bases of language.

Catalog Distribution: (ETM-AS, KCM-AS)

Full details for PSYCH 2150 - Psychology of Language

This course will explore the basic methods, concepts, and challenges in the development and use of psychological tests. We will cover the conceptual, scientific, and methodological principles that guide test development. We will explore assessment of intelligence, psychopathology, and personality. We will discuss multimodal psychological evaluations and how they can be used to inform decision making (for instance forensic, ADHD, learning disability, compensation and pension evaluations, and determining eligibility for services) in addition to ethics. Throughout the course, students should gain an understanding of the scientific manner in which psychological tests are constructed, the different types of psychological testing, and the utility of psychological testing.

Full details for PSYCH 2225 - Psychological Assessment

This course is modeled after "Great Books" literature courses in the humanities, but with two important differences: we read non-fiction books in the social sciences rather than the humanities, written by highly prominent contemporary social scientists. The course title refers to the fact that the books are new, hence their potential greatness has yet to be confirmed by the test of time. We choose living authors to give students a unique opportunity: to interact with each of the six authors in Q&A sessions in person or via video conferencing. This fall some of the authors will appear in person for Q&A and the others will Skype with the class.

Catalog Distribution: (SBA-AS, SSC-AS)

Full details for PSYCH 2580 - Six Pretty Good Books: Explorations in Social Science

What is "personality"? How is it scientifically studied and measured? To what extent, do biological, social, and cultural factors shape personality? Is personality an expression of our genetic make up and biology, the culmination of social influences, the interplay of both, or the result of random events? In this course, we will review the major theoretical paradigms of personality psychology, discuss contemporary research, theory, and methodology, and learn about key historical debates in the study of "personality".

Catalog Distribution: (ETM-AS, SBA-AS, SSC-AS)

Full details for PSYCH 2750 - Introduction to Personality

Intro to Data Science for Social Scientists using R.

Full details for PSYCH 2930 - Introduction to Data Science for Social Scientists

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.

Catalog Distribution: (ETM-AS, KCM-AS, SSC-AS)

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

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. This course will be built around student presentations and both in-class and online discussion of the content of the readings and the questions and dilemmas they raise.

Catalog Distribution: (CA-AS, SSC-AS)

Full details for PSYCH 3130 - Language and Power

This course states and motivates the observation that cognition is fundamentally a computational process and explores the implications of this idea. Students are introduced to a variety of conceptual tools for thinking about cognitive information processing, including statistical learning from experience and the use of patterns distilled from past experience in guiding future actions. They learn to apply these tools to gain understanding of perception, memory, motor control, language, action planning, problem solving, decision making, reasoning, intelligence, and creativity.

Catalog Distribution: (ETM-AS, KCM-AS)

Full details for PSYCH 3140 - Computational Psychology

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.

Catalog Distribution: (BIO-AS, PBSS-AS)

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

A theoretical and empirical approach to the biological, psychological, and social (including cultural and historical) aspects of adult psychopathology. Readings range from Freud to topics in psychopharmacology. The major mental illnesses are covered, including schizophrenia as well as mood, anxiety, and personality disorders. Childhood disorders are not covered.

Catalog Distribution: (ETM-AS, SBA-AS)

Full details for PSYCH 3250 - Adult Psychopathology

Continues the field practicum experience from PSYCH 3270.

Catalog Distribution: (SBA-AS)

Full details for PSYCH 3280 - Field Practicum II

This course will explore and examine different areas of clinical psychology comprising several areas. The first part of the course will focus on how psychopathology develops. The second part will focus on assessment and treatment of psychopathology. The third part will examine different aspects of today's practice of clinical psychology. The goal of the course is to introduce advanced students who have already taken several psychology courses to the field of clinical psychology.

Full details for PSYCH 3325 - Theory and Practice of Contemporary Clinical Psychology

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.

Catalog Distribution: (ETM-AS, KCM-AS)

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

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.

Catalog Distribution: (ETM-AS, SBA-AS)

Full details for PSYCH 3450 - On Being Social

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.

Catalog Distribution: (BIO-AS, SBA-AS)

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

A seminar series examining current and classical ideas in human sciences and the humanities.  Themes vary from semester to semester.

Full details for PSYCH 4320 - Topics in Cognitive Science

This course explores what is known, and what remains unknown, about the neural circuits that control social behavior, including parental behavior, sexual behavior, aggression, and vocalization. How do neural circuits control and coordinate distinct social behaviors? How are sex-typical social behaviors generated? How do past experiences and internal states influence social behavior, and what are the neural mechanisms for these effects? This course focuses mainly, although not exclusively, on research performed in non-human animals, and we'll also examine differences and similarities in the neural circuits for social behavior across species.

Full details for PSYCH 4390 - Neural Circuits for Social Behavior

This is a capstone seminar for seniors who are interested in graduate or professional study in scientific disciplines that focus on human behavior and social interaction. The intent is to provide seniors with an opportunity to summon, integrate, and apply insights that they have acquired over the course of their undergraduate education, and give prospective graduate students the opportunity to lead discussions in a large introductory lecture course, "Six Pretty Good Books". Each seminar member is part of a two or three-person team that leads the discussion together, under the supervision of a graduate teaching assistant. Seminar meetings are devoted to building lesson plans for leading an effective discussion of each of the six books. The authors vary from year to year but include Malcolm Gladwell, Michelle Alexander, Nate Silver, and Nicholas Christakis. All authors have agreed to participate in a "Q&A" session with the students which seminar members are required to attend.

Full details for PSYCH 4580 - The Science of Social Behavior

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.

Catalog Distribution: (BIO-AS, PBSS-AS)

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

This course examines how theories and methods of neuroscience are used to address classic social psychological questions from new and informative angles. The goal is to give students the tools to become critical consumers of the social neuroscience literature, broaden their thinking about connections between the mind, brain, and behavior in a social context, and apply these ideas to their own future research in psychology.

Catalog Distribution: (KCM-AS, SSC-AS)

Full details for PSYCH 4830 - Social Neuroscience

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.

Full details for PSYCH 4940 - Moral Psychology in Action

This course is designed to introduce first-year graduates to the Psychology Department faculty through a weekly series of presentations of current research.

Full details for PSYCH 6000 - General Research Seminar

This course states and motivates the observation that cognition is fundamentally a computational process and explores the implications of this idea. Students are introduced to a variety of conceptual tools for thinking about cognitive information processing, including statistical learning from experience and the use of patterns distilled from past experience in guiding future actions. They learn to apply these tools to gain understanding of perception, memory, motor control, language, action planning, problem solving, decision making, reasoning, intelligence, and creativity.

Full details for PSYCH 6140 - Computational Psychology

Graduate seminar coupled with the Psychology Colloquium series. For 6-8 of the speakers, we read readings designated by the speaker in advance of their arrival, and meet with the speaker in the Thursday seminar. Intended for graduate students in the Field of Psychology who may register for this course without permission, all others please ask for permission from the instructor. Registration in both semesters is required.

Full details for PSYCH 6210 - Behavioral and Brain Sciences

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

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 6420 - Human Perception: Applications to Computer Graphics, Art, and Visual Display

Full details for PSYCH 6450 - On Being Social

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

This course will survey the emerging field of Social Neuroscience, and examine how theories and methods of neuroscience may be used to address classic questions of social psychology from new and informative angles. The goal is to give students the tools to become critical consumers of this literature, broaden their thinking about connections between the mind, brain, and behavior in a social context, and apply these ideas to their own future research in psychology.

Full details for PSYCH 6830 - Social Neuroscience

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

Second semester of a year-long discussion-seminar course intended to give graduate students an in-depth understanding of current research and theory in social psychology. Emphasizes social cognition, but other topics, such as group dynamics, social influence, moral psychology and emotional experience are covered.

Full details for PSYCH 7760 - Proseminar in Social Psychology II

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. This course is recommended for students who want to improve their chemistry problem-solving skills. CHEM 1008 is not a substitute for CHEM 2080 lectures and recitations.

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 first-year chemistry problems. Our Spring first-year chemistry class (CHEM 2080) presupposes 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. This course compensates for the fast pace of CHEM 2080.

Full details for CHEM 1080 - Introduction to Critical Thinking for the Sciences

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

Catalog Distribution: (PBS-AS, PHS-AS)

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

Covers fundamental chemical principles, with considerable attention given to the quantitative aspects and techniques important for further work in chemistry.

Catalog Distribution: (PBS-AS, PHS-AS)

Full details for CHEM 2070 - General Chemistry I

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.

Catalog Distribution: (PBS-AS, PHS-AS)

Full details for CHEM 2080 - General Chemistry II

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

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

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.

Catalog Distribution: (PBS-AS, PHS-AS)

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.

Catalog Distribution: (PBS-AS, PHS-AS, SDS-AS)

Full details for CHEM 3030 - Honors Experimental Chemistry III

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.

Catalog Distribution: (PBS-AS, PHS-AS)

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.

Catalog Distribution: (PBS-AS, PHS-AS)

Full details for CHEM 3590 - Honors Organic Chemistry I

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.

Catalog Distribution: (PBS-AS, PHS-AS)

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.

Catalog Distribution: (PBS-AS, PHS-AS)

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. To apply for independent research, please complete the on-line independent study form at data.arts.cornell.edu/as-stus/indep_study_intro.cfm.

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.

Catalog Distribution: (PBS-AS, PHS-AS)

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

An overview of physical methods applied in inorganic chemistry, including single-crystal x-ray diffraction, is given. The chemistry of the lanthanides and actinides, as well as nuclear chemistry is also presented.

Full details for CHEM 6060 - Advanced Inorganic Chemistry II

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 π-conjugated molecules. Previous exposure to quantum mechanics at the level of the Schrödinger 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

Modern techniques of organic synthesis; applications of organic reaction mechanisms and retrosynthetic analysis to the problems encountered in rational multistep synthesis, with particular emphasis on modern developments in synthesis design.

Full details for CHEM 6660 - Synthetic Organic Chemistry

Full details for CHEM 7650 - Physical Organic Chemistry and Determination of Reaction Mechanisms

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

The chief aim of this course is to provide an understanding of how the tools of modern spectroscopy can be applied to unravel the structural and dynamical properties of molecular systems, with a focus on optical techniques. The course will briefly cover the theoretical basis of light-matter interactions and factors governing the vibrational and electronic spectra of diatomic and polyatomic molecules. The main portion of the course will address current topics in spectroscopic research with a survey of different techniques and the theory behind them. By the end of the course, students will be equipped to understand and interpret the results of a wide array of steady-state and optical spectroscopic techniques applied to complex molecules.

Full details for CHEM 7910 - Advanced Spectroscopy

This is a course in time-dependent quantum mechanics that is concerned with the interaction of molecules with continuous-wave and pulsed irradiation.  The concepts covered in the course are an excellent starting point for a first principles understanding quantum computing.  Topics include: the density matrix; unitary time evolution, the evolution operator, two-level systems; non-unitary evolution, correlation functions, relaxation, dephasing processes, Bloch equations; time-dependent perturbation theory, average Hamiltonian theory, Fermi's Golden rule; multi-dimensional time-domain spectroscopy; Marcus-Jortner theory of electron transfer; electromagnetic radiation interacting with matter, Einstein coefficients, second quantization, stimulated emission, spontaneous emission, quantum optics.

Full details for CHEM 7940 - Quantum Mechanics II

Introduces the fundamentals of statistical mechanics: ensembles, distributions, averages, and fluctuations, building to the treatment of systems of interacting molecules. Topics from equilibrium statistical mechanics include structure and thermodynamics of molecular liquids, critical phenomena, and computational statistical mechanics. Topics from nonequilibrium statistical mechanics include spectroscopy, chemical kinetics, transport, and the microscopic origins of irreversibility.

Full details for CHEM 7960 - Statistical Mechanics

Reviews material presented in MATH 1106 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for attending MATH 1106 lectures or discussions.

Full details for MATH 1006 - Academic Support for MATH 1106

Reviews material presented in MATH 1110 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for attending MATH 1110 lectures.

Full details for MATH 1011 - Academic Support for MATH 1110

Reviews material presented in MATH 1120 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for attending MATH 1120 lectures or discussions.

Full details for MATH 1012 - Academic Support for MATH 1120

Reviews material presented in MATH 2210 lectures, provides problem-solving techniques and tips as well as prelim review. Provides further instruction for students who need reinforcement. Not a substitute for attending MATH 2210 lectures or discussions.

Full details for MATH 1021 - Academic Support for MATH 2210

The goal of this course is to give students a strong basis in some quantitative skills needed in the life and social sciences. There will be an emphasis 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. To give a concrete example, we will study predator-prey populations. We will write down mathematical models that describe the evolution of these populations, analyze both quantitative and qualitative properties to make predictions about the future of these populations, and discuss the assumptions and limitations of the models. Note that while we will cover the topics of derivatives and integrals, this course has a different, much more applied, focus from courses such as MATH 1110 or a typical high school calculus course.

Catalog Distribution: (MQR-AS, SMR-AS)

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

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, substitution in integration, the area under a curve.

Catalog Distribution: (MQR-AS, SMR-AS)

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 (separation of variables, initial conditions, systems, some applications). Also covers infinite sequences and series: definition and tests for convergence, power series, Taylor series with remainder, and parametric equations.

Catalog Distribution: (MQR-AS, SMR-AS)

Full details for MATH 1120 - Calculus II

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.

Catalog Distribution: (MQR-AS, SMR-AS)

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.

Catalog Distribution: (MQR-AS, SDS-AS)

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

Essentially a second course in calculus. 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.

Catalog Distribution: (MQR-AS, SMR-AS)

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.

Catalog Distribution: (MQR-AS, SMR-AS)

Full details for MATH 1920 - Multivariable Calculus for Engineers

Topics include vectors and vector-valued functions; multivariable and vector calculus including multiple and line integrals in different coordinate systems; and first- and second-order differential equations with applications. Optional topics may include Green's theorem, the divergence theorem, and systems of differential equations.​

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Full details for MATH 2130 - Calculus III

Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. The lectures introduce students to formal proofs. Students are required to produce some proofs in their homework and on exams.

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Full details for MATH 2210 - Linear Algebra

Differential and integral calculus of functions in several variables, line and surface integrals as well as the theorems of Green, Stokes, and Gauss.

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Full details for MATH 2220 - Multivariable Calculus

Topics 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.

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Full details for MATH 2240 - Theoretical Linear Algebra and Calculus

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.

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Full details for MATH 2810 - Deductive Logic

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. (This part must be present in any outside course being considered for transfer credit to Cornell as a substitute for MATH 2930.)

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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.

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Full details for MATH 2940 - Linear Algebra for Engineers

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. In this course, students learn various methods of mathematical proof, starting with basic techniques in propositional and predicate calculus and in set theory and combinatorics, and 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. Since cogent communication of mathematical ideas is important in the presentation of proofs, the course emphasizes clear, concise exposition.

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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.

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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.

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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.

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Full details for MATH 3340 - Abstract Algebra

Introduction to the concepts and methods of abstract algebra and number theory 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, error-correcting codes, parallel computing, and experimental designs. Applications include the RSA cryptosystem and use of finite fields to construct error-correcting codes and Latin squares. 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.

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Full details for MATH 3360 - Applicable Algebra

This will be a course on standard set theory (first developed by Ernst Zermelo early in the 20th century): the basic concepts of sethood and membership, operations on sets, functions as sets, the set-theoretic construction of the Natural Numbers, the Integers, the Rational and Real numbers; time permitting, some discussion of cardinality.

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Full details for MATH 3840 - Introduction to Set Theory

Modal logic is a general logical framework for systematizing reasoning about qualified and relativized truth. It has been used to study the logic of possibility, time, knowledge, obligation, provability, and much more. This course will explore both the theoretical foundations and the various philosophical applications of modal logic. On the theoretical side, we will cover basic metatheory, including Kripke semantics, soundness and completeness, correspondence theory, and expressive power. On the applied side, we will examine temporal logic, epistemic logic, deontic logic, counterfactuals, two-dimensional logics, and quantified modal logic. 

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Full details for MATH 3850 - Modal Logic

Introduction to the rigorous theory underlying calculus, covering the real number system and functions of one variable. Based entirely on proofs. The student is expected to know how to read and, to some extent, construct proofs before taking this course. 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.

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Full details for MATH 4130 - Honors Introduction to Analysis I

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, ordinary differential equations.

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Full details for MATH 4140 - Honors Introduction to Analysis II

Theoretical and rigorous introduction to complex variable theory. 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.

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Full details for MATH 4180 - Complex Analysis

Introduction to nonlinear dynamics, with applications to physics, engineering, biology, and chemistry. Emphasizes analytical methods, concrete examples, and geometric thinking. Topics include one-dimensional systems; bifurcations; phase plane; nonlinear oscillators; and Lorenz equations, chaos, strange attractors, fractals, iterated mappings, period doubling, renormalization.

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Full details for MATH 4210 - Nonlinear Dynamics and Chaos

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.

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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, Fourier series methods, approximation methods.

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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 are quadratic forms and inner product spaces, canonical forms for various classes of matrices and linear transformations.

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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, factorization: Euclidean rings, principal ideal domains and unique factorization domains, the structure of finitely generated modules over a principal ideal domain, fields, and Galois theory. The course emphasizes understanding the theory with proofs in both homework and exams.

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Full details for MATH 4340 - Honors Introduction to Algebra

An introduction to a topic that is central to mathematics and important in physics and engineering. The objects of study are certain classes of matrices, such as orthogonal, unitary, or symplectic matrices. These classes have both algebraic structure (groups) and geometric/topological structure (manifolds). Thus the course will be a mixture of algebra and geometry/topology, with a little analysis as well. The topics will include Lie algebras (which are 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 the different ways in which groups can be represented by matrices). Concrete examples will be emphasized. Background not included in the prerequisites will be developed as needed.

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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.

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Full details for MATH 4540 - Introduction to Differential Geometry

Introduction to probability theory, which 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 the central limit theorem are stated and their implications for statistics are discussed.

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Full details for MATH 4710 - Basic Probability

Statistics have proved to be an important research tool in nearly all of the physical, biological, and social sciences. This course serves as an introduction to statistics for students who already have some background in calculus, linear algebra, and probability theory. Topics include parameter estimation, hypothesis testing, and linear regression. The course emphasizes both the mathematical theory of statistics and techniques for data analysis that are useful in solving scientific problems.

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Full details for MATH 4720 - Statistics

A one-semester introduction to stochastic processes which develops the theory together with applications. The course will always cover Markov chains in discrete and continuous time and Poisson processes. Depending upon the interests of the instructor and the students, other topics may include queuing theory, martingales, Brownian motion, and option pricing.

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Full details for MATH 4740 - Stochastic Processes

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 math.cornell.edu/math-5080) 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.

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. One credit is awarded for attending two Saturday workshops (see math.cornell.edu/math-5080) and writing a paper.

Full details for MATH 5080 - Special Study for Teachers

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 is a self-contained introduction to the modern theory of optimal control and differential games. Dynamic programming uses Hamilton-Jacobi partial differential equations (PDEs) to encode the optimal behavior in cooperative and adversarial sequential decision making problems. The same PDEs have an alternative interpretation in the context of front propagation problems. We show how both interpretations are useful in constructing efficient numerical methods. We also consider a wide range of applications, including robotics, computational geometry, path-planning, computer vision, photolithography, economics, seismic imaging, ecology, financial engineering, crowd dynamics, and aircraft collision avoidance. Assumes no prior knowledge of non-linear PDEs or numerical analysis.

Full details for MATH 6230 - Differential Games and Optimal Control

Topics include review of planar (single-degree-of-freedom) systems; local and global analysis; structural stability and bifurcations in planar systems; center manifolds and normal forms; the averaging theorem and perturbation methods; Melnikov's method; discrete dynamical systems, maps and difference equations, homoclinic and heteroclinic motions, the Smale Horseshoe and other complex invariant sets; global bifurcations, strange attractors, and chaos in free and forced oscillator equations; and applications to problems in solid and fluid mechanics.

Full details for MATH 6270 - Applied Dynamical Systems

MATH 6310-6320 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

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

Covers the basics of Lie groups and Lie algebras. Topics include real and complex Lie groups, relations between Lie groups and Lie algebras, exponential map, homogeneous manifolds and the classification of simple Lie algebras.

Full details for MATH 6390 - Lie Groups and Lie Algebras

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

Topics include linear connections, Riemannian metrics and parallel translation; covariant differentiation and curvature tensors; the exponential map, the Gauss Lemma and completeness of the metric; isometries and space forms, Jacobi fields and the theorem of Cartan-Hadamard; the first and second variation formulas; the index form of Morse and the theorem of Bonnet-Myers; the Rauch, Hessian, and Laplacian comparison theorems; the Morse index theorem; the conjugate and cut loci; and submanifolds and the Second Fundamental form.

Full details for MATH 6620 - Riemannian Geometry

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

Conditional expectation, martingales, Brownian motion. Other topics such as Markov chains, ergodic theory, and stochastic calculus depending on time and interests of the instructor.

Full details for MATH 6720 - Probability Theory II

This course will focus on the finite sample theory of statistical inference, emphasizing estimation, hypothesis testing, and confidence intervals.  Specific topics include: uniformly minimum variance unbiased estimators, minimum risk equivariant estimators, Bayes estimators, minimax estimators, the Neyman-Pearson theory of hypothesis testing, and the construction of optimal invariant tests.

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

An introduction to (mostly Euclidean) harmonic analysis. Topics usually include convergence of Fourier series, harmonic functions and their conjugates, Hilbert transform, Calderon-Zygmund theory, Littlewood-Paley theory, pseudo-differential operators, restriction theory of the Fourier transform, connections to PDE. Applications to number theory and/or probability theory may also be discussed, as well as Fourier analysis on groups.

Full details for MATH 7150 - Fourier Analysis

Talks on various methods in scientific computing, the analysis of their convergence properties and computational efficiency, and their adaptation to specific applications.

Full details for MATH 7290 - Seminar on Scientific Computing and Numerics

Selection of advanced topics in combinatorics. Course content varies.

Full details for MATH 7410 - Topics in Combinatorics

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 topics from algebraic geometry. Content varies.  

Full details for MATH 7670 - Topics in Algebraic Geometry

Selection of advanced topics from stochastic processes. Content varies.

Full details for MATH 7720 - Topics in Stochastic Processes

Supervised research for the doctoral dissertation.

Full details for MATH 7900 - Supervised Reading and Research