Equivalent to MUSI F1123 and C1123. Part of the Core Curriculum since 1947, Music Humanities aims to instill in students a basic comprehension of the many forms of the Western musical imagination. Its specific goals are to awaken and encourage in students an appreciation of music in the Western world, to help them learn to respond intelligently to a variety of musical idioms, and to engage them in the various debates about the character and purposes of music that have occupied composers and musical thinkers since ancient times. The course attempts to involve students actively in the process of critical listening, both in the classroom and in concerts that the students attend and write about. The extraordinary richness of musical life in New York is thus an integral part of the course. Although not a history of Western music, the course is taught in a chronological format and includes masterpieces by Josquin des Prez, Monteverdi, Bach, Handel, Mozart, Haydn, Beethoven, Verdi, Wagner, Schoenberg, and Stravinsky, among others. No previous knowledge of music required. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Prerequisites: MATH S1102, or the equivalent. Columbia College students who aim at an economics major AND have at least the grade of B in Calculus I may take Calculus III directly after Calculus I. However, all students majoring in engineering, science, or mathematics should follow Calculus I with Calculus II. Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramer's rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers.
Prerequisites: this course uses elementary concepts from calculus, and students should therefore have some basic background in differentiation and integration. Assignments to discussion sections are made after the first lecture. Basic introduction to the study of mechanics, fluids, and thermodynamics. The accompanying laboratory is PHYS S1291D. NOTE: There are two recitation sessions that meet for one hour each week. The recitation times will be selected at the first class meeting.
Introduction to national political institutions and processes. The presidency, Congress, the courts, political parties and elections, interest groups, and public opinion.
Prerequisites: working knowledge of calculus (differentiation and integration). Designed for students who desire a strong grounding in statistical concepts with a greater degree of mathematical rigor than in STAT W1111. Random variables, probability distributions, pdf, cdf, mean, variance, correlation, conditional distribution, conditional mean and conditional variance, law of iterated expectations, normal, chi-square, F and t distributions, law of large numbers, central limit theorem, parameter estimation, unbiasedness, consistency, efficiency, hypothesis testing, p-value,confidence intervals. maximum likelihood estimation. Satisfies the pre-requisites for ECON W3412.
The Poetry Writing Workshop is designed for all students with a serious interest in poetry writing, from those who lack significant workshop experience or training in the craft of poetry to seasoned workshop participants looking for new challenges and perspectives on their work. Students will be assigned writing exercises emphasizing such aspects of verse composition as the poetic line, the image, rhyme and other sound devices, verse forms, repetition, collage, and others. Students will also read an variety of exemplary work in verse, submit brief critical analyses of poems, and critique each others original work.
Prerequisites: MATH S1201, or the equivalent. Double and triple integrals. Change of variables. Line and surface integrals. Grad, div, and curl. Vector integral calculus: Green's theorem, divergence theorem, Stokes' theorem
Prerequisites: PHYS S1201 or the equivalent. This course uses elementary concepts from calculus, and students should therefore have some basic background in differentiation and integration. The same course as PHYS S1202X, but given in a six-week session. Assignments to discussion sections are made after the first lecture. Basic introduction to the study of electricity, magnetism, optics, special relativity, quantum mechanics, atomic physics, and nuclear physics. The accompanying laboratory is PHYS S1292Q. NOTE: There are two recitation sessions that meet for one hour each week. The recitation times will be selected at the first class meeting.
Prerequisites: Students that are not registering for MDES S1211 will be required to request professor permission (tb46@columbia.edu) to enroll.
Prerequisites: MDES S1210, or the equivalent.
Prerequisites: MDES UN1211-UN1212, or the equivalent.
Prerequisites: Prerequisites: MDES UN1211-UN1212 and UN1214 or the equivalent.
Prerequisites: PHYS S1201. May be taken before or concurrently with this course. Laboratory for PHYS S1201D. Assignments to laboratory sections are made after the first lecture, offered Mon/Wed or Tues/Thurs 10.30AM-1.30PM.
Prerequisites: PHYS S1202. May be taken before or concurrently with this course. Laboratory for PHYS 1202X. Assignments to laboratory sections are made after the first lecture. NOTE: Labs meet one day a week (Mon, Tues, Wed or Thurs) 1:00pm - 4:00pm only. There are no evening lab sections.
Prerequisites: Recommended preparation: a working knowledge of high school algebra. May be counted toward the science requirement for most Columbia University undergraduate students. The overall architecture of the solar system. Motions of the celestial sphere. Time and the calendar. Major planets, the earth-moon system, minor planets, comets. Life in the solar system and beyond.
Prerequisites: high school chemistry and algebra, CHEM S0001, or the department's permission. Topics include stoichiometry, states of matter, nuclear properties, electronic structures of atoms, periodic properties, chemical bonding, molecular geometry, introduction to quantum mechanics and atomic theory, introduction to organic, biological chemistry and inorganic coordination chemistry. Topical subjects may include spectroscopy, solid state and materials science, polymer science and macromolecular structures. The order of presentation of topics may differ from the order presented here. Students are required to attend the separate daily morning recitations which accompany the lectures (total time block: MTWR 9:30-12:20). Registering for CHEM S1403D will automatically register students for the recitation section. Students who wish to take the full sequence of General Chemistry Lectures and General Chemistry Laboratory should also register for CHEM S1404Q and CHEM S1500 (see below). This course is equivalent to CHEM W1403 General Chemistry I Lecture.
Prerequisites: CHEM S1403 General Chemistry I Lecture or the equivalent. Topics include gases, kinetic theory of gases, states of matter: liquids and solids, chemical equilibria, acids and bases, applications of equilibria, thermochemistry and spontaneous processes (energy, enthalpy, entropy, free energy) as well as chemical kinetics and electrochemistry. The order of presentation of topics may differ from the order presented here. Students must also attend the daily morning recitations which accompany the lectures (total time block: MTWR 9:30-12:20). Registering for CHEM S1404Q will automatically register students for the recitation section. The continuation of CHEM S1403D General Chemistry I Lecture. Students who wish to take the full sequence of General Chemistry Lectures and General Chemistry Laboratory should also register for CHEM S1403D and CHEM S1500 (see below). This course is equivalent to CHEM UN1404 General Chemistry II Lecture.
Prerequisites: CHEM S1403 General Chemistry I Lecture or the equivalent. Topics include gases, kinetic theory of gases, states of matter: liquids and solids, chemical equilibria, acids and bases, applications of equilibria, thermochemistry and spontaneous processes (energy, enthalpy, entropy, free energy) as well as chemical kinetics and electrochemistry. The order of presentation of topics may differ from the order presented here. Students must also attend the daily morning recitations which accompany the lectures (total time block: MTWR 9:30-12:20). Registering for CHEM S1404Q will automatically register students for the recitation section. The continuation of CHEM S1403D General Chemistry I Lecture. Students who wish to take the full sequence of General Chemistry Lectures and General Chemistry Laboratory should also register for CHEM S1403D and CHEM S1500 (see below). This course is equivalent to CHEM UN1404 General Chemistry II Lecture.
Corequisites: CHEM S1404X. To be enrolled in CHEM S1404X, you must be enrolled in CHEM S1406X.
Introduction to the techniques of research employed in the study of human behavior. Students gain experience in the conduct of research, including design of simple experiments, observation and measurement techniques, and the analysis of behavioral data.
Prerequisites: (CHEM UN1403) Introduction to basic experimental techniques in chemistry, including quantitative procedures, chemical analysis, and descriptive chemistry. To be enrolled in CHEM S1500X you must also register for CHEM S1501 Lab Lecture.
Corequisites: CHEM S1500 Lab lecture for CHEM S1500 General Chemistry Laboratory.
A survey of major concepts and issues in international relations. Issues include anarchy, power, foreign policy decision-making, domestic politics and foreign policy, theories of cooperation and conflict, international security and arms control, nationalism, international law and organizations, and international economic relations.
Prerequisites: PSYC W1001 or PSYC W1010 or the equivalent. Recommended preparation: one course in behavioral science and knowledge of high school algebra. Recommended preparation: One course in behavioral science and knowledge of high school algebra. An introduction to statistics that concentrates on problems from the behavioral sciences.
This is the required discussion section for POLS UN1601.
Introductory course to analog photographic tools, techniques, and photo criticism. This class explores black & white, analog camera photography and darkroom processing and printing. Areascovered include camera operations, black and white darkroom work, 8x10 print production, and critique. With an emphasis on the student’s own creative practice, this course will explore the basics of photography and its history through regular shooting assignments, demonstrations, critique, lectures, and readings. No prior photography experience is required.
"The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester.
To be eligible, students must (1) be engaged during the semester in an internship or other experiential learning opportunity, (2) have completed the sophomore year, and (3) have declared their major (or concentration)
. HUMAUN2000 may not be taken with the Pass/D/Fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice.
"The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester.
To be eligible, students must (1) be engaged during the semester in an internship or other experiential learning opportunity, (2) have completed the sophomore year, and (3) have declared their major (or concentration)
. HUMAUN2000 may not be taken with the Pass/D/Fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice.
Prerequisites: MATH S1201 Calculus III, or the equivalent. Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.
Linear algebra with a focus on probability and statistics. The course covers the standard linear algebra topics: systems of linear equations, matrices, determinants, vector spaces, bases, dimension, eigenvalues and eigenvectors, the Spectral Theorem and singular value decompositions. It also teaches applications of linear algebra to probability, statistics and dynamical systems giving a background sufficient for higher level courses in probability and statistics. The topics covered in the probability theory part include conditional probability, discrete and continuous random variables, probability distributions and the limit theorems, as well as Markov chains, curve fitting, regression, and pattern analysis. The course contains applications to life sciences, chemistry, and environmental life sciences. No a prior i background in the life sciences is assumed.
This course is best suited for students who wish to focus on applications and practical approaches to problem solving. It is recommended to students majoring in engineering, technology, life sciences, social sciences, and economics. Math majors, joint majors, and math concentrators must take MATH UN2010 Linear Algebra, which focuses on linear algebra concepts and foundations that are needed for upper-level math courses. MATH UN2015 (Linear Algebra and Probability) does NOT replace MATH UN2010 (Linear Algebra) as prerequisite requirements of math courses. Students may not receive full credit for both courses MATH UN2010 and MATH UN2015.
Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent. Special differential equations of order one. Linear differential equations with constant and variable coefficients. Systems of such equations. Transform and series solution techniques. Emphasis on applications.
Prerequisites: Equivalent to GERM UN2101 Topics include personal interests, biographies, German unification, stereotypes, and German-American relations. Assignments and activities are diversified to integrate undergraduate and graduate students’ academic and personal interests. Upon successful completion of the course (with a minimum grade of B), students should achieve intermediate-high proficiency (ACTFL scale) in speaking, listening, reading, and writing German. Students are advised that this course is a full-time commitment. Students should expect to study 2 hours every day for every hour spent in the classroom and additional time on weekends. Students planning to study in Berlin in spring are advised to complete GERM S2101 in the Summer Session. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to GERM UN2101 taught during the regular semesters.
Prerequisites: ITAL V1102 or W1102, or the equivalent. If you did not take Elementary Italian at Columbia in the semester preceding the current one, you must take the placement test, offered by the Italian Department at the beginning of each semester.
Prerequisites: RUSS UN1101 and RUSS UN1102 or placement test $15.00= Language Resource Fee, $15.00 = Materials Fee , Builds upon skills acquired at introductory level. Emphasis on speaking, reading, writing, and grammar review. Taken with RUSS S2102R, equivalent to full-year intermediate course.
Prerequisites: SPAN S1102, or the equivalent. Equivalent to SPAN C1201 or F1201. Rapid grammar review, composition, and reading of literary works by contemporary authors.
Prerequisites: Equivalent to GERM UN2102 Topics cover areas of German literature, history, art, and society. Students also read a German drama. Assignments and activities are diversified to integrate undergraduate and graduate students’ academic and personal interests. Intermediate-high to advanced-low proficiency (ACTFL scale) in speaking, listening, reading, and writing German is expected upon successful completion (with a minimum grade of B). Prepares students for advanced German, upper-level literature and culture courses and study in Berlin. Students are advised that this course is a full-time commitment. Students should expect to study 2 hours every day for every hour spent in the classroom and additional time on weekends. Students planning to study in Berlin in spring are advised to complete GERM S2102 in the Summer Session. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to GERM UN2102 taught during the regular semesters.
Prerequisites: RUSS UN2101 or placement test $15.00= Language Resource Fee, $15.00 = Materials Fee , Continuation of RUSS S2101H.
Prerequisites: SPAN S1201, or the equivalent. Equivalent to SPAN C1202 or F1202. Readings of contemporary authors, with emphasis on class discussion and composition.
Prerequisites: ECON UN1105 The course surveys issues of interest in the American economy, including economic measurement, well-being and income distribution, business cycles and recession, the labor and housing markets, saving and wealth, fiscal policy, banking and finance, and topics in central banking. We study historical issues, institutions, measurement, current performance and recent research.
Primarily for graduate students in other departments who have some background in French and who wish to meet the French reading requirement for the Ph.D. degree, or for scholars whose research involves references in the French language. Intensive reading and translation, both prepared and at sight, in works drawn from literature, criticism, philosophy, and history. Brief review of grammar; vocabulary exercises.
Prerequisites: SPAN UN1108 or scoring at this level on the department’s Spanish as a Heritage Language Placement test (https://columbia-barnard.vega-labs.com).
The principal aim of SPAN UN2108 is to build upon and further develop the knowledge of Spanish that heritage learners bring to the classroom – from SPAN UN1108 and/or from family and neighborhood exposure to the language. This course cultivates intermediate-level formal speaking, listening, reading, and writing abilities.
Spanish heritage language courses at Columbia/Barnard focus on the development of communicative abilities and literacy from sociolinguistic and sociocultural approaches. Throughout the semester, students will be reviewing spelling patterns, building vocabulary, acquiring and effectively using learning strategies, and strengthening composition skills in Spanish. Cultural projects and readings reinforce learners’ understanding of the multiple issues related to Hispanic cultures in the United States and in other Spanish-speaking societies.
Few periods in history have stirred imaginations and been debated as much as the so-called “Age of Revolution” at the turn of the Eighteenth and Nineteenth Centuries. Long seen through a self-righteous North-Atlantic lens, this era of (democratic) revolutions has today been decentered both spatially and conceptually to encompass other revolutionary upheavals around the globe and their twin other: empire. This course takes stock of these developments to explore how revolution and empire developed in tandem in France and Haiti, with ramifications across the Caribbean, Europe and beyond from 1789 to 1820. Topics covered include: the end of an “old” regime and birth of several new ones; the largest and most successful slave revolt in history; revolutionary politics and social transformation; the terror; Napoleon, Toussaint Louverture, and charismatic leadership; the first “total war” and new forms of empire-building; the legacies, memory, and forgetting of these events. Throughout, the course considers revolutionary upheaval and imperialism as intertwined processes driven both by determinate logics and by unintended consequences.
This course is lecture-based although students are expected to engage in short document-based discussions in class. All classes and readings will be English, and no prior knowledge of the period is required.
PHIL UN2101 is not a prerequisite for this course. Exposition and analysis of central philosophical problems as discussed by innovative thinkers from Aquinas through Kant. Authors include figures like Descartes, Elisabeth of Bohemia, Spinoza, Anne Conway, Leibniz, Berkeley, Hume, Émilie du Châtelet, and Kant. ,
An introduction to the potential of digital sound synthesis and signal processing. Teaches proficiency in elementary and advanced digital audio techniques. This course aims to challenge some of the tacet assumptions about music that are built into the design of various user interfaces and hardware and fosters a creative approach to using digital audio workstation software and equipment. Permission of Instructor required to enroll. Music Majors have priority for enrollment.
An introduction to basic concepts in cognitive psychology. Topics include theories and
phenomena in areas such as attention, memory, concepts and categories, language, reasoning,
decision making, and consciousness.
This class offers insight through composing, analysis, and performance for the composer, singer/songwriter, and performance artist. Coupling specifics of rhythm, melody, and harmony with story telling, lyric writing and the voice itself, students will be encouraged to share their imagination in song regardless of style, genre, or aesthetic. Music ranging from Chant to Music Theatre, the German lied to international pop fusion will be included as models upon which to base discussion and creative endeavor. Improvisation and musicianship techniques will complement pedagogical presentations of tonal and non - tonal compositional practice. A required final project based on any combination of composition, analysis, and performance, and in any media will be due at the end of the semester. All levels of experience and all types of instruments are welcome. Notation software is recommended but not required.
The global success of film directors Alejandro González Iñárritu, Alfonso Cuarón, and Guillermo del Toro has attracted much attention to the New Mexican Cinema. Yet this «Nuevo cine mexicano» cannot be understood without knowing the traditions of Mexico’s intricate film history. This course explores the numerous tendencies of Mexican cinema through the analysis of its most representative genres, features, and directors since the so called Golden Age (1938-1957). An in-depth analysis of films such as Emilio Fernández’s
La perla
(1947), Luis Buñuel’s
Los olvidados
(1950), Jomi García Ascot’s and María Luisa Elío's
En el balcón vacío
(1962), Alejandro Jodorowsky’s
La montaña sagrada
(1973), and Arturo Ripstein's
Profundo carmesí
(1996) will contribute to define the characteristics of the most relevant «national» genres – from 1940s melodramas to 1970s psychedelic movies and 1990s crime films. The study of the New Mexican Cinema of Iñárritu (
Amores perros
, 2000), Cuarón (
Y tu mamá también
, 2001), and del Toro (
El laberinto del fauno
, 2006) will comprise an examination of the complex relationship between the US and Mexican film industries, as well as a critique of the very notion of «national identity» in today’s globalized world. We will also analyze new tendencies in commercial, experimental, and documentary Mexican films – including Carlos Reygadas'
Luz silenciosa
(2007) and Pedro González
Rubio's Alamar
(2009).
This course is designed as an introduction to the Islamic religion, both in its pre-modern and modern manifestations. The semester begins with a survey of the central elements that unite a diverse community of Muslim peoples from a variety of geographical and cultural backgrounds. This includes a look at the Prophet and the Qur'an and the ways in which both were actualized in the development of ritual, jurisprudence, theology, and sufism/mysticism. The course then shifts to the modern period, examining the impact of colonization and the rise of liberal secularism on the Muslim world. The tension between traditional Sunni and Shi'i systems of authority and movements for 'modernization' and/or 'reform' feature prominently in these readings. Topics range from intellectual attempts at societal/religious reform (e.g. Islamic Revivalism, Modernism, Progressivism) and political re-interpretations of traditional Islamic motifs (e.g. Third-Worldism and Jihadist discourse) to efforts at accommodating scientific and technological innovations (e.g. evolution, bioethics ). The class ends by examining the efforts of American and European Muslim communities to carve out distinct spheres of identity in the larger global Muslim community ( umma) through expressions of popular culture (e.g. Hip-Hop).
This course is designed as an introduction to the Islamic religion, both in its pre-modern and modern manifestations. The semester begins with a survey of the central elements that unite a diverse community of Muslim peoples from a variety of geographical and cultural backgrounds. This includes a look at the Prophet and the Qur'an and the ways in which both were actualized in the development of ritual, jurisprudence, theology, and sufism/mysticism. The course then shifts to the modern period, examining the impact of colonization and the rise of liberal secularism on the Muslim world. The tension between traditional Sunni and Shi'i systems of authority and movements for 'modernization' and/or 'reform' feature prominently in these readings. Topics range from intellectual attempts at societal/religious reform (e.g. Islamic Revivalism, Modernism, Progressivism) and political re-interpretations of traditional Islamic motifs (e.g. Third-Worldism and Jihadist discourse) to efforts at accommodating scientific and technological innovations (e.g. evolution, bioethics ). The class ends by examining the efforts of American and European Muslim communities to carve out distinct spheres of identity in the larger global Muslim community ( umma) through expressions of popular culture (e.g. Hip-Hop).
This course examines three masters of European Baroque art—Gianlorenzo Bernini (1598-1680), Diego Velázquez (1599-1660), and Rembrandt van Rijn (1606-1669)—artists who are all well represented in the permanent collection of the Metropolitan Museum of Art. Through classroom discussions and museum visits, we will examine Baroque art as part of a continuing and developing accumulation of forms and ideas throughout the 17th century, and consider the impact these artists had on their contemporaries and in ensuing centuries. Roughly half of the class sessions take place at the Metropolitan Museum, a luxury that allows for close, firsthand analysis of art, but it is not an art appreciation course. It is a history course concerned with a study of ideas, artists, and visual facts and their application to emerging art forms within their cultural-historical context. In addition to developing a critical eye, the class is intended to develop analytical thinking and communication skills as well as knowledge of the subject matter.
Prerequisites: CHEM S1403 General Chemistry I Lecture, CHEM S1404 General Chemistry II Lecture and CHEM S1500 General Chemistry Lab or their equivalents taken within the previous five years. Principles of organic chemistry. The structure and reactivity of organic molecules from the standpoint of modern theories of chemistry. Stereochemistry, reactions of organic molecules, mechanisms of organic reactions, syntheses and degradations of organic molecules, spectroscopic techniques of structure determination. Please note that students must attend a recitation for this class. Students who wish to take the full organic chemistry lecture sequence and laboratory should also register for CHEM S2444Q Organic Chemistry II Lecture and CHEM S2543Q Organic Chemistry Lab (see below). This course is equivalent to CHEM UN2443 Organic Chemistry I Lecture.
Prerequisites: CHEM S2443D Organic Chemistry I Lecture or the equivalent. The principles of organic chemistry. The structure and reactivity of organic molecules are examined from the standpoint of modern theories of chemistry. Topics include stereochemistry, reactions of organic molecules, mechanisms of organic reactions, syntheses and degradations of organic molecules, and spectroscopic techniques of structure determination. This course is a continuation of CHEM S2443D Organic Chemistry I Lecture. Please note that students must attend a recitation for this class. Students who wish to take the full organic chemistry lecture sequence and laboratory should also register for CHEM S2443D Organic Chemistry I Lecture and CHEM S2543Q Organic Chemistry Lab - see below. This course is equivalent to CHEM UN2444 Organic Chemistry II Lecture.
Prerequisites: PSYC UN1001 An introduction to the analysis of psychological issues by anatomical, physiological, and pharmacological methods. Topics include neurons, neurotransmitters, neural circuits, human neuroanatomy, vision, learning, memory, emotion, and sleep and circadian rhythms.
Over four hundred years, twelve million Africans were enslaved and forcibly transported to the Americas. This course traces the emergence of Atlantic slavery and the transatlantic slave trade, focusing on British North America. Students will study the consolidation of African slavery in different settings as well as the changing role of race in justifying the institution. Moving forward, this course studies how slavery and enslaved Africans affected the foundation of the United States. Students will examine how the institution shaped the development of American politics, the economy, and society more broadly. Centered around the enslaved experience, this course also delves into the world of slave owners to better understand how slavery grew, flourished, and developed into a uniquely American institution before its rapid, bloody demise.
Prerequisites: PSYC UN1001 or equivalent Traditional psychologists have focused primarily on answering “how?” questions regarding the mechanisms that underlie behavior (i.e. How does the system work?). In contrast, evolutionary psychologists focus primarily on answering “why?” questions (i.e. Why does this system exist, and why does it have the form it does?). This course is designed to apply our knowledge of evolutionary theory to psychology in order to answer such questions.
Prerequisites: MATH V1102-MATH V1201 or the equivalent and MATH V2010. Mathematical methods for economics. Quadratic forms, Hessian, implicit functions. Convex sets, convex functions. Optimization, constrained optimization, Kuhn-Tucker conditions. Elements of the calculus of variations and optimal control.
Prerequisites: BIOL C2005 or F2005 (Introduction to Molecular and Cellular Biology, I) or equivalent. The lab will focus on experiments in genetics and molecular biology with emphasis on data analysis and interpretation.
Prerequisites: CHEM UN1500 General Chemistry Lab, CHEM UN2443 Organic Chemistry I - Lecture. Techniques of experimental organic chemistry, with emphasis on understanding fundamental principles underlying the experiments in methodology of solving laboratory problems involving organic molecules. Attendance at the first laboratory session is mandatory. Please note that you must complete CHEM UN2443 Organic Chemistry I Lecture or the equivalent to register for this lab course. This course is equivalent to CHEM UN2543 Organic Chemistry Laboratory.
Prerequisites: CHEM UN1500 General Chemistry Lab, CHEM UN2443 Organic Chemistry I - Lecture. Techniques of experimental organic chemistry, with emphasis on understanding fundamental principles underlying the experiments in methodology of solving laboratory problems involving organic molecules. Attendance at the first laboratory session is mandatory. Please note that you must complete CHEM UN2443 Organic Chemistry I Lecture or the equivalent to register for this lab course. This course is equivalent to CHEM UN2543 Organic Chemistry Laboratory.
Introduces distinctive aesthetic traditions of China, Japan, and Korea--their similarities and differences--through an examination of the visual significance of selected works of painting, sculpture, architecture, and other arts in relation to the history, culture, and religions of East Asia.
Prerequisites: PSYC W1001 or PSYC W1010 or the instructor's permission. An examination of definitions, theories, and treatments of abnormal behavior.
Surveys important methods, findings, and theories in the study of social influences on behavior. Emphasizes different perspectives on the relation between individuals and society.
Introduction to 2000 years of art on the Indian subcontinent. The course covers the early art of Buddhism, rock-cut architecture of the Buddhists and Hindus, the development of the Hindu temple, Mughal and Rajput painting and architecture, art of the colonial period, and the emergence of the Modern.