Prerequisites: High school algebra or the instructor's permission. Recommended: high school physics and chemistry. This course is preparation for CHEM UN1403 General Chemistry I Lecture or the equivalent, as well as for other science courses. It is intended for students who have not attended school for sometime or who do not have a firm grasp of high school chemistry. Topics include inorganic nomenclature, chemical reactions, chemical bonding and its relation to molecular structure, stoichiometry, periodic properties of elements, chemical equilibrium, gas laws, acids and bases, and electrochemistry. Please note that students must attend a recitation section.
Prerequisites: high school mathematics, but not calculus. Basic Physics serves as preparation for General Physics 1201-1202 and is intended for those students who do not have a solid foundation in high school physics or who have been away from school for several years. The course will provide an introduction to the basic concepts and fundamental laws of physics, focusing on mechanics, together with a review of the mathematical techniques needed for problem-solving.
An introduction to the enormous diversity of life on Earth. From bacteria to mammals, this course will survey species diversity, with an emphasis on ecological interactions and conservation. The course will also use basics of genetics and evolutionary biology to explore how diversity is generated and maintained. No previous knowledge of science is assumed. Fulfills a science requirement for most Columbia and GS undergraduates.
The purpose of this foundational course is to introduce Columbia undergraduate students, in the context of their Global Core curriculum, to the seminal field of critical theory. The historical domain of this course is within the last century and its geographical spectrum is global. European critical thinkers are included in this course but not privileged. Thinkers from Asia, Africa, Europe, North, South, and Latin America, are examined here in chronological order and in equal democratic footing with each other. This course as a result is decidedly cross-cultural, one step forward towards de-alienating critical thinkers from around the globe and the issues they address without pigeonholing them as something “other” or “different.” The course is designed and offered in the true spirit of the “Global Core.” The purpose of the course is to reach for the common denominator of serious critical thinking about the fate of our humanity and the health of our social relations in an increasingly fragile world—where the false binaries of “the West” and “the Rest” no longer hold. The roster of critical thinkers we will examine is by no means exhaustive but representative. Any number of other critical thinkers can be added to this roster but none of those we will examine can be excluded from them. The course is divided into thirteen successive weeks and for each week a number of seminal, original, and groundbreaking texts are identified. Each week we will examine selected passages from these texts. The course is designed as a lecture course, and my lectures are based on the totality of these texts but students will be assigned specific shorter passages to read.
Introduction to the science of human behavior. Topics include history of psychology, brain function and development, sleep and dreams, sensation and perception, learning and memory, theories of development, language and cognition, research methods, emotion, mental illness, and therapy.
Fundamentals of visual vocabulary. Students work from observation using still-life objects and the human figure. Emphasizes the relationship of lines and forms to each other and to the picture format. Materials used: vine charcoal, compressed charcoal, pencil, pen, ink, and brushes. Class assignments, discussions, and critiques.
The Fiction Writing Workshop is designed for students who have little or no experience writing imaginative prose. Students are introduced to a range of craft concerns through exercises and discussions, and eventually produce their own writing for the critical analysis of the class. Outside readings supplement and inform the exercises and longer written projects. Enrollment limited to 15.
The anthropological approach to the study of culture and human society. Using ethnographic case studies, the course explores the universality of cultural categories (social organization, economy, law, belief systems, arts, etc.) and the range of variation among human societies.
Corequisites: MDES UN1001. Discussion sections (TWO) to accompany the course MDES UN1001, Critical Theory: A Global Perspective.
Corequisites: MDES UN1001. Discussion sections (TWO) to accompany the course MDES UN1001, Critical Theory: A Global Perspective.
Prerequisites: Mathematics score of 550 on the SAT exam, taken within the past year. Recommended: MATH S0065. Algebra review, graphs and functions, polynomial functions, rational functions, conic sections, systems of equations in two variables, exponential and logarithmic functions, trigonometric functions and trigonometric identities, applications of trigonometry, sequences, series, and limits.
General Chemistry I is a pre-requisite; General Chemistry II is a pre/co-requisite. In this course, we will introduce basic terminology, important concepts, and basic problem-solving skills in order to prepare biology and pre-health students for the challenging Biology courses they will take at Columbia. We will do a deep dive into a small number of topics and use these as access points to teaching skills that will aid students in future STEM courses. Classes will include time for problem solving. Recitations will involve problem solving and student presentations of solutions to problems.
Dinosaurs
explores how science works and provide practical knowledge about the history of life and how we have come to understand it. We learn how to analyze the evolutionary relationships of organisms and examine how dinosaurs came to be exemplars of a very successful group of organisms dominant on land for 140 million years. We will delve deeply into how direct descendants of small carnivorous theropod dinosaurs evolved into birds, still more diverse than mammals, dominating the air. The Mesozoic, a “hot-house world”, with no ice caps and was the kind of world we are hurtling towards because of our input of greenhouse gases into the atmosphere, and we will look at how their time is a natural experiment for our future. The non-avian dinosaur met their end in a remarkable cataclysm discovered by detective work that we will delve deeply into as a paradigm of the scientific method Finally, they are fun and spectacular - monsters more fantastic than any person has invented in legend or religion - and they are still with us!
Prerequisites: Non-native English speakers must reach Level 10 in the American Language Program prior to registering for ENGL S1010. University Writing: Contemporary Essays helps undergraduates engage in the conversations that form our intellectual community. By reading and writing about scholarly and popular essays, students learn that writing is a process of continual refinement of ideas. Rather than approaching writing as an innate talent, this course teaches writing as a learned skill. We give special attention to textual analysis, research, and revision practices.
Prerequisites: Non-native English speakers must reach Level 10 in the American Language Program prior to registering for ENGL S1010. University Writing: Contemporary Essays helps undergraduates engage in the conversations that form our intellectual community. By reading and writing about scholarly and popular essays, students learn that writing is a process of continual refinement of ideas. Rather than approaching writing as an innate talent, this course teaches writing as a learned skill. We give special attention to textual analysis, research, and revision practices.
Prerequisites: Non-native English speakers must reach Level 10 in the American Language Program prior to registering for ENGL S1010. University Writing: Contemporary Essays helps undergraduates engage in the conversations that form our intellectual community. By reading and writing about scholarly and popular essays, students learn that writing is a process of continual refinement of ideas. Rather than approaching writing as an innate talent, this course teaches writing as a learned skill. We give special attention to textual analysis, research, and revision practices.
Prerequisites: Non-native English speakers must reach Level 10 in the American Language Program prior to registering for ENGL S1010. University Writing: Contemporary Essays helps undergraduates engage in the conversations that form our intellectual community. By reading and writing about scholarly and popular essays, students learn that writing is a process of continual refinement of ideas. Rather than approaching writing as an innate talent, this course teaches writing as a learned skill. We give special attention to textual analysis, research, and revision practices.
Prerequisites: Non-native English speakers must reach Level 10 in the American Language Program prior to registering for ENGL S1010. University Writing: Contemporary Essays helps undergraduates engage in the conversations that form our intellectual community. By reading and writing about scholarly and popular essays, students learn that writing is a process of continual refinement of ideas. Rather than approaching writing as an innate talent, this course teaches writing as a learned skill. We give special attention to textual analysis, research, and revision practices.
Prerequisites: Non-native English speakers must reach Level 10 in the American Language Program prior to registering for ENGL S1010. University Writing: Contemporary Essays helps undergraduates engage in the conversations that form our intellectual community. By reading and writing about scholarly and popular essays, students learn that writing is a process of continual refinement of ideas. Rather than approaching writing as an innate talent, this course teaches writing as a learned skill. We give special attention to textual analysis, research, and revision practices.
Equivalent to FREN UN1101. Designed to help students understand, speak, read, and write French, and to recognize cultural features of French-speaking communities, now with the help of a newly digitized audio program. Students learn to provide information in French about their feelings, environment, families, and daily activities. Daily assignments, quizzes, laboratory work, and screening of video material.
Equivalent to ITAL V1101. Students will develop listening, speaking, reading, and writing skills in Italian and an understanding of Italian culture. Upon successful completion of this course, students should be able to provide basic information in Italian about themselves, their families, interests, likes and dislikes, and daily activities; participate in a simple conversation on everyday topics; to read edited texts on familiar topics; and produce Italian with basic grammatical accuracy and accurate pronunciation.
Prerequisites: high school mathematics through trigonometry or MATH S1003, or the equivalent. Functions, limits, derivatives, introduction to integrals.
Prerequisites: high school mathematics through trigonometry or MATH S1003, or the equivalent. Functions, limits, derivatives, introduction to integrals.
$15.00= Language Resource Fee, $15.00 = Materials Fee , Designed to develop all four skills: speaking, listening, reading, and writing. Taken with RUSS S1102R, equivalent to full-year elementary course.
Elementary course, equivalent to SPAN V1101 or F1101. Fundamental principles of grammar; practice in pronunciation. Reading and conversation are introduced from the beginning. Use of the language laboratory is required.
Elementary course, equivalent to SPAN V1101 or F1101. Fundamental principles of grammar; practice in pronunciation. Reading and conversation are introduced from the beginning. Use of the language laboratory is required.
Elementary course, equivalent to SPAN V1101 or F1101. Fundamental principles of grammar; practice in pronunciation. Reading and conversation are introduced from the beginning. Use of the language laboratory is required.
Prerequisites: some high school algebra. Designed for students in fields that emphasize quantitative methods. This course satisfies the statistics requirements of all majors except statistics, economics, and engineering. Graphical and numerical summaries, probability, theory of sampling distributions, linear regression, confidence intervals, and hypothesis testing are taught as aids to quantitative reasoning and data analysis. Use of statistical software required. Illustrations are taken from a variety of fields. Data-collection/analysis project with emphasis on study designs is part of the coursework requirement.
Prerequisites: one term of college French or one year of secondary school French. $15.00= Language Resource Fee, $15.00 = Materials Fee , Equivalent to FREN UN1102. Continues the work of French S1101D and completes the study of elementary French. Students continue to develop communicative skills, narrating recent events (past, present, and future), describing daily life activities, and learning about cultural features of France and of the wider Francophone world. Following the communicative approach, students, with the help of the instructor, learn to solve problems using the language, to communicate their feelings and opinions, and to obtain information from others. Daily assignments, quizzes, laboratory work, and screening of video materials.
Prerequisites: ITAL S1101, or the equivalent. Continues the work of ITAL 1101 and completes the study of elementary Italian. Students continue to develop communicative skills (listening, speaking, reading, and writing skills). Upon successful completion of this course, students should be able to provide basic information in Italian about wants and needs, personal opinions and wishes, personal experiences, past activities, and daily routines; read simple texts on familiar matters of high frequency everyday or job-related language; draw on a repertoire of vocabulary and syntax sufficient for dealing with everyday situations.
Prerequisites: MATH S1101 Calculus I, or the equivalent. Methods of integration, applications of the integral, Taylor's theorem, infinite series.
Prerequisites: MATH S1101 Calculus I, or the equivalent. Methods of integration, applications of the integral, Taylor's theorem, infinite series.
Prerequisites: RUSS UN1101 or placement test $15.00= Language Resource Fee, $15.00 = Materials Fee , Continuation of RUSS S1101H.
Prerequisites: SPAN S1101, or the equivalent. Equivalent to SPAN F1102 or V1102. Grammar exercises, prose readings, and practice in the spoken language.
Prerequisites: SPAN S1101, or the equivalent. Equivalent to SPAN F1102 or V1102. Grammar exercises, prose readings, and practice in the spoken language.
Prerequisites: SPAN S1101, or the equivalent. Equivalent to SPAN F1102 or V1102. Grammar exercises, prose readings, and practice in the spoken language.
This course aims to introduce students to the Chinese language and cultivate their basic communicative competence by providing a comprehensive training in listening, speaking, reading and writing in Chinese. In addition, the course will bring real life tasks into classroom and prepare students to use Chinese language to function in an immersive environment.
Equivalent to ECON UN1105, the first course for the major in economics. How a market economy determines the relative prices of goods, factors of production, and the allocation of resources; the circumstances under which it does these things efficiently. Why such an economy has fluctuations and how they may be controlled.
In this course students will continue to develop basic communicative competence in Chinese. More emphasis will be given to reading and writing Chinese characters than First Year Chinese (I). In addition to bringing real life tasks into classroom and preparing students to use Chinese language to function in an immersive environment, the course also aims to cultivate inter-cultural communication awareness among students.
Water covers the majority of the earth’s surface but what of the life in these waters? Rivers, wetlands, lakes, estuaries and oceans provide habitat for an extraordinary diversity of animals. This course explores the amazing array of aquatic animals that occupy both freshwater and marine ecosystems as well as the natural and human activities that impact their survival. No previous knowledge of science is assumed. Fulfills the science requirement for most Columbia and GS undergraduates.
Prerequisites: no previous knowledge of German required, but some background is strongly recommended. This accelerated survey of German grammar, reading techniques, and dictionary skills is designed primarily for graduate students preparing for reading proficiency exams or wishing to do research in German-language literature. In addition to translation, the course focuses on strategies for extracting general and specific information from German texts (skimming and scanning) and judging their relevance for a specific research purpose. Reading texts take students' fields of study into consideration. Although this course does not satisfy any part of the foreign language requirement for degree candidates, successful completion of the translation on the final exam fulfills the German reading proficiency requirement in most graduate programs. 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 who would like to gain speaking and listening skills are advised to enroll in the Intensive Elementary German I and II, or another appropriate German course. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to GERM UN1113-UN1114 taught during regular semesters.
Prerequisites: no previous knowledge of German required, but some background is strongly recommended. This accelerated survey of German grammar, reading techniques, and dictionary skills is designed primarily for graduate students preparing for reading proficiency exams or wishing to do research in German-language literature. In addition to translation, the course focuses on strategies for extracting general and specific information from German texts (skimming and scanning) and judging their relevance for a specific research purpose. Reading texts take students' fields of study into consideration. Although this course does not satisfy any part of the foreign language requirement for degree candidates, successful completion of the translation on the final exam fulfills the German reading proficiency requirement in most graduate programs. 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 who would like to gain speaking and listening skills are advised to enroll in the Intensive Elementary German I and II, or another appropriate German course. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to GERM UN1113-UN1114 taught during regular semesters.
This intensive program provides one year of German in one six-week session. The course enables students to understand, speak, read, and write in German about a range of subjects (such as: family activities, studies, work and home life, as well as travel, economics, and current events) and helps them develop an understanding of German speaking cultures. Classes are conducted in German and supplemented with written homework and audiovisual materials. Assignments and activities are diversified to integrate undergraduate and graduate students’ academic and personal interests. The program draws on the German heritage of New York City (museums, Goethe Institut, restaurants, etc.). Students are encouraged to attend German-language films and musical performances. Students have many opportunities for informal conversation. Upon successful completion of the course (with a minimum grade of B), students should achieve novice high to intermediate low proficiency (ACTFL scale). Final grades are based on frequent oral and written tests, writing assignments, a project on German culture in New York, and a final examination (written and oral). Students are advised that this course constitutes a full-time commitment. The workload of this course is very intense and students will be expected to spend 4-6 hours studying every day outside of class and additional time on weekends. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to the combination of
GERM UN1101
and
UN1102
taught during the regular semesters.
If prior knowledge of German, a placement exam is required. Students should contact Jutta Schmiers-Heller (js2331) to schedule a test or if they have other questions about the course.
Equivalent to Greek 1101 and 1102. Covers all of Greek grammar and syntax in one term to prepare the student to enter Greek 1201 or 1202. This is an intensive course with substantial preparation time outside of class.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to Latin 1101 and 1102. Covers all of Latin grammar and syntax in one term to prepare the student to enter Latin 1201 or 1202. This is an intensive course with substantial preparation time outside of class.
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.
This undergraduate lecture course will introduce how transgenic and mutant mouse models are generated and their utility in defining the functional roles of genes in vivo. Classically, the function of a gene is tested in vivo by either overexpressing or inactivating its expression, leading to a gain-of-function or loss-of-function phenotype from which is inferred a gene’s normal role in homeostasis. Here we will explore the classic strategies for the generation of transgenic and knockout mice, comparing and contrasting their individual strengths and weaknesses, while exploring the phenotypes that have resulted from these changes in gene expression. Using a subset of primary papers, students will be introduced to research analysis to become more versed in the layers of experimental design needed to identify a gene’s function in vivo. The theoretical timing and the strategy needed to design such experiments with these transgenic and mutant mouse models, and the power of stem cell experiments will be discussed.
In addition, to develop critical and additional analytical skills, students will become versed in basic tissue histology and immunohistochemistry, using processed paraffin-embedded mouse tissues from wild-type and engineered mutant mouse lines. Students will learn how to recognize numerous, normal adult tissues with light microscopy and to identify proliferative zones vs. fully differentiated layers within each. In addition, they will analyze the development of mid-to-late gestational embryos in serial sections, to underscore the coordinated transformation of tissues required for normal embryonic development. Finally, serial sections from well-defined mutant mouse models will used to identify and characterize abnormal phenotypes resulting from the knock-out of genes encoding cell cycle regulators or tumor suppressors. Live animal handling or experimentation is not a component of this course.
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. Same course as ITAL V1201-V1202.
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: 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: ITAL V1201 or W1201, 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. A review of grammar, intensive reading, composition, and practice in conversation. Exploration of literary and cultural material. Lab: hours to be arranged. ITAL V1202 fulfils the basic foreign language requirement and prepares students for advanced study in Italian language and literature.
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: 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.