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.
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: 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.
Italian in Venice ITAL1203OC. Intensive Intermediate Italian. 6 points.
Prerequisites: One year of college-level Italian or the equivalent. Instructor: TBD
The equivalent of Italian 1201/1202. This intensive second year course allows students to develop listening, speaking, reading, and writing skills in Italian and a better understanding of Italian culture. Students are involved in activities outside the classroom, where they gather information on Italian cultural topics through interviews and surveys that allow them to engage directly with the local community. Upon successful completion of this course, students should be able to:
use a sufficient range of language to be able to give clear description;
express viewpoints on most general topics;
show a relatively high degree of grammatical control;
use cohesive devices to link their utterances into clear and coherent discourse;
give detailed descriptions and presentations on a wide range of subjects related to their fields of interest, expanding and supporting their ideas;
write clear and detailed text on a variety of subjects related to their field of interest, synthesizing and evaluating information and arguments;
understand straightforward factual information about common everyday life;
interact with a degree of fluency and spontaneity that makes for regular interaction;
express news and views effectively in writing, and relate to those of others;
express themselves appropriately in different cultural and communicative situations;
and be aware of the most significant differences between the customs, usages, attitudes, values, and beliefs prevalent in the Italian culture and those of their own.
Please note: If you have completed Intensive 1, you are welcome to enroll in the Intensive Intermediate course. You will be expected to enroll in the full 6-point course. While there will be some overlap in the coursework that you already completed at Columbia, it will benefit you to be in Venice to reinforce and enhance your language studies before continuing on to new material. Upon successful completion of the course, you will be awarded 4 points for the Intensive course.
To enroll in this course, you must apply to the
The turn-of-the-century United States was a nation on the cusp of a number of momentous social, cultural, and political movements. One of the biggest changes was in the status and role of women. From the emergence of the New Woman in the last decade of the 19th century, to the suffragette in the 1910s and the flapper in the 1920s, the roles and positions of women were expanding and evolving in unprecedented ways. Coupled with the growth and expansion of cities, women’s mobility and the spaces they occupied changed dramatically during this time period. In this course, we will examine texts that depict the situation of women and their mobility in various social and cultural contexts in the shifting urban landscape of early twentieth-century New York City. What spaces were women allowed/expected to occupy? What spaces were considered taboo or off limits? What were the effects and consequences of the spaces that women occupied? How did women’s mobility differ to men’s? How do race and class impact mobility and space? What factors influenced women’s mobility and how did these factors change/develop over time? Course materials will likely include work by Nella Larsen, Djuna Barnes, Sui Sin Far, Anzia Yezierska, Edith Wharton, and Faith Baldwin, as well as the film Skyscraper Souls
Prerequisites: Students that are not registering for MDES S1211 will be required to request professor permission (tb46@columbia.edu) to enroll.
Required discussion section for POLS UN1201: INTRO TO AMERICAN POLITICS
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.
Readings in translation and discussion of texts of Middle Eastern and Indian origin. Readings may include the Quran, Islamic philosophy, Sufi poetry, the Upanishads, Buddhist sutras, the Bhagavad Gita, Indian epics and drama, and Gandhis Autobiography.
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.
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.
This course examines the rapidly evolving social, cultural, behavioral, political, and socioeconomic dimensions of public health in community, national, regional, and global contexts. We consider how health as well as the generation of knowledge about health are being continually re-shaped by factors such as age, gender, sexual orientation, race and ethnicity, social class, geography, and interactions within physical and digital environments. We learn how to analyze dynamic public health problems and identify agile solutions by casting light on individual risk factors as well as larger structural forces. We consider how social media enables the rapid proliferation of hotly contested messages and information about the rights of the individual versus the welfare of the public. Finally, we critically examine the ways in which our understandings of health and well-being perpetually shape, and are shaped by, health care systems in flux, the mediation of our own values, and our changing assumptions about the world. "Gone Viral: Public Health in a Global Context" is an exploration of the spread of pathogens and other health threats as well as the spread of ideas and knowledge about them via social media and other platforms. The course is offered twice during the NextGen Leadership Institute (NGLI); students may choose to register for either Session I or Session II. The course is structured around nine (9) in-person sessions that meet during a three-week period. The format combines interactive lectures with discussion-based seminars. The course introduces students to fundamental concepts and issues in public health. Students read selected excerpts from public health textbooks, public health journals, and popular magazines. Short videos, social media content, and documentary films supplement the readings, providing a diversified basis for lively collegial debate. Concurrent with class sessions, students also engage in basic research outside of the classroom by conducting rapid ethnographic assessment. Research methods include observational exercises in public spaces, recruitment of and informal interviews with respondents, small group assignments within walking distance of campus, and participant-observation in online spaces where public health ideas are evinced and negotiated. The course has six learning objectives: 1. Introduce definitions of disease, illness, and well-being from various perspectives. 2. Introduce students to a population perspective on health and disease. 3. Define and describe the social determinant
This course examines the rapidly evolving social, cultural, behavioral, political, and socioeconomic dimensions of public health in community, national, regional, and global contexts. We consider how health as well as the generation of knowledge about health are being continually re-shaped by factors such as age, gender, sexual orientation, race and ethnicity, social class, geography, and interactions within physical and digital environments. We learn how to analyze dynamic public health problems and identify agile solutions by casting light on individual risk factors as well as larger structural forces. We consider how social media enables the rapid proliferation of hotly contested messages and information about the rights of the individual versus the welfare of the public. Finally, we critically examine the ways in which our understandings of health and well-being perpetually shape, and are shaped by, health care systems in flux, the mediation of our own values, and our changing assumptions about the world. "Gone Viral: Public Health in a Global Context" is an exploration of the spread of pathogens and other health threats as well as the spread of ideas and knowledge about them via social media and other platforms. The course is offered twice during the NextGen Leadership Institute (NGLI); students may choose to register for either Session I or Session II. The course is structured around nine (9) in-person sessions that meet during a three-week period. The format combines interactive lectures with discussion-based seminars. The course introduces students to fundamental concepts and issues in public health. Students read selected excerpts from public health textbooks, public health journals, and popular magazines. Short videos, social media content, and documentary films supplement the readings, providing a diversified basis for lively collegial debate. Concurrent with class sessions, students also engage in basic research outside of the classroom by conducting rapid ethnographic assessment. Research methods include observational exercises in public spaces, recruitment of and informal interviews with respondents, small group assignments within walking distance of campus, and participant-observation in online spaces where public health ideas are evinced and negotiated. The course has six learning objectives: 1. Introduce definitions of disease, illness, and well-being from various perspectives. 2. Introduce students to a population perspective on health and disease. 3. Define and describe the social determinant
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.
This course provides a broad overview of the comparative politics subfield by focusing on critical substantive questions about the world today. The course is organized around four questions: 1. Why can only some people depend upon the state to enforce order? 2. Why are some countries more democratic than others? 3. What different institutional forms does democratic government take? 4. Are some institutions more likely than others to produce significant social outcomes such as representation, accountability, redistribution, and democratic stability? Because the study of comparative politics requires knowledge of specific cases, we will focus on eight countries: China, Germany, India, Japan, Mexico, Nigeria, Russia, and the United Kingdom. This course will prepare students for higher-level courses in political science in two ways. First, it will teach students to make and evaluate arguments about politics. Second, it will make students aware of to the methods political scientists use in their research.
Introduction to the psychological, philosophical, sociological, and historical foundations of education as way to understand what education is, how education has become what it is, and to envision what education should be.
Introduction to the psychological, philosophical, sociological, and historical foundations of education as way to understand what education is, how education has become what it is, and to envision what education should be.
This is the required discussion section for POLS UN1501.
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.
Since Walter Benjamin’s concept of “work of art in the age of mechanical reproduction” (1935), photography has been continuously changed by mechanical, and then digital, means of image capture and processing. This class explores the history of the image, as a global phenomenon that accompanied industrialization, conflict, racial reckonings, and decolonization. Students will study case studies, read critical essays, and get hands-on training in capture, workflow, editing, output, and display formats using digital equipment (e.g., DSLR camera) and software (e.g., Lightroom, Photoshop, Scanning Software). Students will complete weekly assignments, a midterm project, and a final project based on research and shooting assignments. No Prerequisites and no equipment needed. All enrolled students will be able to check out Canon EOS 5D DSLR Camera; receive an Adobe Creative Cloud license; and get access to Large Format Print service.
You know them well: on one side, the scheming, jealous stepmother, obsessed with her fading youth. On the other, her husband’s virginal, naive, and beautiful daughter – whose own mother is usually dead. The conflict between them is so familiar that it feels inevitable. Where, though, did these nearly universal figures come from? Why are they so ingrained in the imaginations of people around the world and across the millennia? In this course, we’ll explore the roots of the maternal in folk and fairy tales. We’ll analyze a variety of stories and films to investigate the “absent mother,” “virginal daughter,” and “wicked stepmother” from different critical perspectives, paying special attention to analytical psychology and feminist psychoanalytic theories, to try to figure out why these figures are so compelling, so ubiquitous, and so hard to shake.
You know them well: on one side, the scheming, jealous stepmother, obsessed with her fading youth. On the other, her husband’s virginal, naive, and beautiful daughter – whose own mother is usually dead. The conflict between them is so familiar that it feels inevitable. Where, though, did these nearly universal figures come from? Why are they so ingrained in the imaginations of people around the world and across the millennia? In this course, we’ll explore the roots of the maternal in folk and fairy tales. We’ll analyze a variety of stories and films to investigate the “absent mother,” “virginal daughter,” and “wicked stepmother” from different critical perspectives, paying special attention to analytical psychology and feminist psychoanalytic theories, to try to figure out why these figures are so compelling, so ubiquitous, and so hard to shake.
"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.
This 28-day course is an immersion in Parisian culture from the point of view of the dancer. The course is divided into three major components: technique, composition, and history. Students will take a series of technique classes in modern, ballet, improvisation, world dance forms, and yoga, taught by Barnard/USF and international guest faculty, as well as opportunities to take alternative technique classes in some of Paris’s professional dance studios. Students will be exposed to the rich artistic side of Paris through lectures and performances, as well as assigned readings by major dancers/writers/artists who have drawn on the Parisian landscape as inspiration for their work.
A final choreographic project based on compositional exercises that will take students to various Parisian locales, will be presented during the final week of the course. We will also visit many important locations essential to studying the history of dance in Western culture, including Versailles, Théâtre de la Ville and the Paris Opera.
Mental disorders have historically been distinguished from other medical illnesses because they affect the higher cognitive processes that are referred to as the “mind”. Neuroscience offers one way for understanding mental disorders, asserting that the mind is a manifestation of brain activity, thereby categorizing these disorders as essentially brain disorders. This course explores the ongoing search for the brain correlates of mental disorders and the significant impact this search has had on our contemporary understanding of mental health. Engaging with review and research papers on schizophrenia, autism spectrum, and mood disorders, students will learn to interpret experimental evidence in Neuroscience and to evaluate known theories through both supporting and non-supporting evidence. While the course acknowledges neuroscience's progress in understanding mental disorders, it also considers some of the problems encountered in viewing them as essentially biological phenomena: Can brain-based explanations capture the lived experience of mental disorders? Could these disorders also originate from outside the brain? How should they be treated, and should they be always treated?
NOTE: The course desctiption is the same for the fall/spring course and the summer course.
Mental disorders have historically been distinguished from other medical illnesses because they affect the higher cognitive processes that are referred to as the “mind”. Neuroscience offers one way for understanding mental disorders, asserting that the mind is a manifestation of brain activity, thereby categorizing these disorders as essentially brain disorders. This course explores the ongoing search for the brain correlates of mental disorders and the significant impact this search has had on our contemporary understanding of mental health. Engaging with review and research papers on schizophrenia, autism spectrum, and mood disorders, students will learn to interpret experimental evidence in Neuroscience and to evaluate known theories through both supporting and non-supporting evidence. While the course acknowledges neuroscience's progress in understanding mental disorders, it also considers some of the problems encountered in viewing them as essentially biological phenomena: Can brain-based explanations capture the lived experience of mental disorders? Could these disorders also originate from outside the brain? How should they be treated, and should they be always treated?
NOTE: The course desctiption is the same for the fall/spring course and the summer course.
Prerequisites: MATH S1201 Calculus III, or the equivalent. Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.
Course Description:
This course will provide an opportunity to experience New York City through drawing. It will focus on drawing as a way of experiencing and viewing the world and as a way of expressing concepts. The class takes place both in the studio and in the city itself, including in cultural institutions, parks, cafes and the street. In sketchbooks and journals, students will document and elaborate upon their encounters with the city. The class will incorporate different themes, including: history, community, intimacy, exchange, structure, motion, architecture, nature. We will learn about different drawing techniques and uses of drawing. Exercises will at times intersect with quotidian urban activities. We will, for example, document a walk through the park or sit in a cafe working out visual ideas. Students will fill their sketchbook with drawn records of their experience of the city and will learn about the history of depicting the city through the eyes of different artists such as Edward Hopper, Martin Wong, Faith Ringold, Alice Neel, Florine Stettheimer and Mina Loy.
Readings, critiques and individual tutorials will be interspersed throughout the working sessions. Students will be required to write or draw in their journals inside and outside of class, and to share ideas and insights in a time allocated to this at the beginning of each class. Materials list will be provided and should be brought to class from the second class on.
Course Description:
This course will provide an opportunity to experience New York City through drawing. It will focus on drawing as a way of experiencing and viewing the world and as a way of expressing concepts. The class takes place both in the studio and in the city itself, including in cultural institutions, parks, cafes and the street. In sketchbooks and journals, students will document and elaborate upon their encounters with the city. The class will incorporate different themes, including: history, community, intimacy, exchange, structure, motion, architecture, nature. We will learn about different drawing techniques and uses of drawing. Exercises will at times intersect with quotidian urban activities. We will, for example, document a walk through the park or sit in a cafe working out visual ideas. Students will fill their sketchbook with drawn records of their experience of the city and will learn about the history of depicting the city through the eyes of different artists such as Edward Hopper, Martin Wong, Faith Ringold, Alice Neel, Florine Stettheimer and Mina Loy.
Readings, critiques and individual tutorials will be interspersed throughout the working sessions. Students will be required to write or draw in their journals inside and outside of class, and to share ideas and insights in a time allocated to this at the beginning of each class. Materials list will be provided and should be brought to class from the second class on.
This architectural design summer studio course explores modes of visualization, technologies of mediation, and
spaces of environmental and material transformations. These explorations will be used as catalysts for
architectural analysis and design experimentation.
Introducing design methodologies that allow us to perceive and reshape spatial and material interactions in new
ways, the studio will focus on how architecture negotiates, alters or redirects multiple forces in our world:
physical, cultural, social, technological, political etc. The semester progresses through two projects that examine
unique atmospheric, spatial and urban conditions with the aid of multimedia visual techniques; and that employ
design to develop critical and creative interventions at different scales. Learning analog and digital drawing
techniques, physical model-making, and multimedia image production, students will work in the studio and
digital architecture lab. The course includes site visits and field trips in the city.
NOTE: The course may be used to fulfill major requirements. It can replace: ARCH 2101 Architectural Design:
Environment Mediations OR ARCH 2103 Architectural Design: Systems and Materials. OR students may use it as
an additional optional studio course to complement their overall studies in the major. Preference will be given
to students who have completed one studio course or Design Futures course.
This architectural design summer studio course explores modes of visualization, technologies of mediation, and
spaces of environmental and material transformations. These explorations will be used as catalysts for
architectural analysis and design experimentation.
Introducing design methodologies that allow us to perceive and reshape spatial and material interactions in new
ways, the studio will focus on how architecture negotiates, alters or redirects multiple forces in our world:
physical, cultural, social, technological, political etc. The semester progresses through two projects that examine
unique atmospheric, spatial and urban conditions with the aid of multimedia visual techniques; and that employ
design to develop critical and creative interventions at different scales. Learning analog and digital drawing
techniques, physical model-making, and multimedia image production, students will work in the studio and
digital architecture lab. The course includes site visits and field trips in the city.
NOTE: The course may be used to fulfill major requirements. It can replace: ARCH 2101 Architectural Design:
Environment Mediations OR ARCH 2103 Architectural Design: Systems and Materials. OR students may use it as
an additional optional studio course to complement their overall studies in the major. Preference will be given
to students who have completed one studio course or Design Futures course.
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 priori 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 or MATH UN1207 Honors Math A, which focus 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. Students who have taken MATH UN2015 and consider taking higher level Math courses should contact a major advisor to discuss alternative pathways.
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: 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.