First-Year Chinese II

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.

• Department: Summer Session (SUMM)
• MTWRF 10 a.m.-12:10 p.m.
• Instructor: Shaoyan Qi
  CULPA: 25 Info
• 5 points

THE LIFE AQUATIC

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.

• Department: Summer Session (SUMM)
• TR 1 p.m.-4:10 p.m.
• Instructor: Mercer R Brugler
  Info
• 3 points

THE LIFE AQUATIC

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.

• Department: Summer Session (SUMM)
• TR 1 p.m.-4:10 p.m.
• Instructor: Mercer R Brugler
  Info
• 3 points

INTENSIVE ELEM GERMAN I & II

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.

• Department: Summer Session (SUMM)
• 6 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

MASTERPIECES OF WESTERN ART

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.

• Department: Summer Session (SUMM)
• 3 points

INTENSIVE ELEMENTARY LATIN

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.

• Department: Summer Session (SUMM)
• MTWR 9 a.m.-12:10 p.m.
• Instructor: Kristina Milnor
  CULPA: 21 Wikipedia h-index: 10 Info
• 6 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

Music Humanities

Analysis and discussion of representative works from the Middle Ages to the present.

• Department: Summer Session (SUMM)
• 3 points

INTERMEDIATE FRENCH I

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE FRENCH I

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE ITALIAN I

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.

• Department: Summer Session (SUMM)
• 4 points

CALCULUS III

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.

• Department: Summer Session (SUMM)
• 3 points

CALCULUS III

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.

• Department: Summer Session (SUMM)
• 3 points

GENERAL PHYSICS I

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.

• Department: Summer Session (SUMM)
• 3 points

CALC-BASED INTRO TO STATISTICS

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.

• Department: Summer Session (SUMM)
• MTWR 10:45 a.m.-12:20 p.m.
• MTWR 6:15 p.m.-7:50 p.m.
• 3 points

POETRY WRITING WORKSHOP

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.

• Department: Summer Session (SUMM)
• TR 5:30 p.m.-8:40 p.m.
• Instructor: Timothy B Donnelly
  Info
• Instructor: Dorothea S Lasky
  Wikipedia Info
• 3 points

INTERMEDIATE FRENCH II

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE FRENCH II

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE ITALIAN II

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.

• Department: Summer Session (SUMM)
• 4 points

GENERAL PHYSICS II

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.

• Department: Summer Session (SUMM)
• 3 points

GENERAL PHYSICS II

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.

• Department: Summer Session (SUMM)
• 3 points

FIRST YEAR ARABIC I

Prerequisites: Students that are not registering for MDES S1211 will be required to request professor permission (tb46@columbia.edu) to enroll.

• Department: Summer Session (SUMM)
• MTWRF 9 a.m.-1 p.m.
• Instructor: May Ahmar
  CULPA: 9 Info
• 5 points

FIRST YEAR ARABIC II

Prerequisites: MDES S1210, or the equivalent.

• Department: Summer Session (SUMM)
• MTWRF 9 a.m.-1 p.m.
• Instructor: Reem Faraj
  CULPA: 4 Info
• 5 points

SECOND YEAR ARABIC I

Prerequisites: MDES UN1211-UN1212, or the equivalent.

• Department: Summer Session (SUMM)
• MTWRF 9 a.m.-1 p.m.
• Instructor: Nasr Abdo
  Info
• 5 points

SECOND YEAR ARABIC II

Prerequisites: Prerequisites: MDES UN1211-UN1212 and UN1214 or the equivalent.

• Department: Summer Session (SUMM)
• MTWRF 9 a.m.-1 p.m.
• Instructor: Ouijdane Absi
  CULPA: 6 Info
• 5 points

INTENSIVE INTERMEDIATE LATIN

• Department: Summer Session (SUMM)
• MTWR 9 a.m.-12:10 p.m.
• Instructor: Umberto Verdura
  Info
• 6 points

GENERAL PHYSICS LAB I

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.

• Department: Summer Session (SUMM)
• 1 points

GENERAL PHYSICS LAB I

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.

• Department: Summer Session (SUMM)
• 1 points

GENERAL PHYSICS LAB II

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.

• Department: Summer Session (SUMM)
• 1 points

GENERAL PHYSICS LAB II

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.

• Department: Summer Session (SUMM)
• 1 points

GENERAL PHYSICS LAB II

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.

• Department: Summer Session (SUMM)
• 1 points

GENERAL PHYSICS LAB II

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.

• Department: Summer Session (SUMM)
• 1 points

GENERAL PHYSICS LAB II

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.

• Department: Summer Session (SUMM)
• 1 points

GENERAL PHYSICS LAB II

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.

• Department: Summer Session (SUMM)
• 1 points

EARTH, MOON AND PLANETS

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.

• Department: Summer Session (SUMM)
• TR 1 p.m.-4:10 p.m.
• Instructor: James H Applegate
  CULPA: 44 Info
• 3 points

GENERAL CHEMISTRY I-LECTURES

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.

• Department: Summer Session (SUMM)
• MTWR 9:30 a.m.-12:20 p.m.
• Instructor: Jason G Polisar
  CULPA: 4 Info
• 4 points

GENERAL CHEMISTRY II-LECTURES

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.

• Department: Summer Session (SUMM)
• MTWR 9:30 a.m.-12:20 p.m.
• TR 6:10 p.m.-7:35 p.m.
• Instructor: Jason G Polisar
  CULPA: 4 Info
• Instructor: Ruben M Savizky
  CULPA: 22 Info
• 4 points

GENERAL CHEMISTRY II-REC

Corequisites: CHEM S1404X. To be enrolled in CHEM S1404X, you must be enrolled in CHEM S1406X.

• Department: Summer Session (SUMM)
• T 5 p.m.-5:50 p.m.
• T 8 p.m.-8:50 p.m.
• R 5 p.m.-5:50 p.m.
• Instructor: Ruben M Savizky
  CULPA: 22 Info
• 0 points

EXPERIMNTL PSYCH:HUMN BEHAVIOR

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.

• Department: Summer Session (SUMM)
• MTWR 10:45 a.m.-12:50 p.m.
• Instructor: Patricia G Lindemann
  CULPA: 64 Info
• 4 points

GENERAL CHEMISTRY: LABORATORY

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.

• Department: Summer Session (SUMM)
• MW 12:10 p.m.-4:50 p.m.
• T 1:10 p.m.-4:50 p.m.
• W 1:10 p.m.-4:50 p.m.
• R 1:10 p.m.-4:50 p.m.
• MW 12:10 p.m.-4:50 p.m.
• Instructor: Sarah J Hansen
  CULPA: 11 Info
• Instructor: Joseph C Ulichny
  CULPA: 9 Info
• 3 points

GENERAL CHEMISTRY LAB-LECTURE

Corequisites: CHEM S1500 Lab lecture for CHEM S1500 General Chemistry Laboratory.

• Department: Summer Session (SUMM)
• M 3 p.m.-4:15 p.m.
• Instructor: Joseph C Ulichny
  CULPA: 9 Info
• 0 points

INTRO DARKROOM PHOTOGRAPHY

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.

• Department: Summer Session (SUMM)
• MW 1 p.m.-3:30 p.m.
• 3 points

INTRO DARKROOM PHOTOGRAPHY

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.

• Department: Summer Session (SUMM)
• MW 1 p.m.-3:30 p.m.
• 3 points

INTRO DIGITAL PHOTOGRAPHY

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.

• Department: Summer Session (SUMM)
• TR 1 p.m.-3:30 p.m.
• 3 points

Photo Exhibitions

A photography exhibition is a form of “show and tell” that combines a photographer’s creativity with the audience’s interaction (applause, excitement, boredom, learning). This course explores historic and modern photography exhibitions designed by curators, organizations, and artists. We explore the ways a photograph breathes in the “living” world as compared to the “static” world of newspapers, magazines, or photobooks. Making use of New York’s vast cultural network, we will go on field trips to public museums, commercial galleries, and independent spaces in Chelsea, Downtown, Long Island City, Bronx, etc. Students will design a mini-exhibition as their final project. Students will maintain a daily
Reflection Journal
to document their experiences at each location, capturing the ideas discussed and materials presented. The journal serves as a creative space for exploring the topics covered in the course and for developing concepts for the final project. The Final Project will be a collectively curated one-day exhibition on campus.

• Department: Summer Session (SUMM)
• MW 1 p.m.-3:30 p.m.
• 3 points

PhotoBook History

This course explores the photobook as a central medium of lens-based contemporary art practice and bookmaking. You will be exposed to a variety of geographies (Japan, USA, Europe, Latin America, Africa), approaches (formal book, luxury volume, grassroots zine, national archive, art object), subject matters (autobiography, fiction, historical, journalism, epic events), and materials. Using Columbia’s world-famous library holdings, many photo and art books and a diverse range of viewpoints will be studied through historical lectures and New York City field trips. Students will learn hands-on processes of photobook and fanzine making.

• Department: Summer Session (SUMM)
• TR 1 p.m.-3:30 p.m.
• 3 points

LINEAR ALGEBRA

Prerequisites: MATH S1201 Calculus III, or the equivalent. Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.

• Department: Summer Session (SUMM)
• 3 points

LINEAR ALGEBRA

Prerequisites: MATH S1201 Calculus III, or the equivalent. Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.

• Department: Summer Session (SUMM)
• 3 points

Linear Algebra and Probability

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.

• Department: Summer Session (SUMM)
• 3 points

ORDINARY DIFFERENTIAL EQUATIONS

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.

• Department: Summer Session (SUMM)
• 3 points

DAILY LIFE IN MEDIEVAL EUROPE

This course is designed as travellers guide to medieval Europe. Its purpose is to provide a window to a long-lost world that provided the foundation of modern institutions and that continues to inspire the modern collective artistic and literary imagination with its own particularities. This course will not be a conventional history course concentrating on the grand narratives in the economic, social and political domains but rather intend to explore the day-to-day lives of the inhabitants, and attempts to have a glimpse of their mindset, their emotional spectrum, their convictions, prejudices, fears and hopes. It will be at once a historical, sociological and anthropological study of one of the most inspiring ages of European civilization. Subjects to be covered will include the birth and childhood, domestic life, sex and marriage, craftsmen and artisans, agricultural work, food and diet, the religious devotion, sickness and its cures, death, after death (purgatory and the apparitions), travelling, merchants and trades, inside the nobles castle, the Christian cosmos, and medieval technology. The lectures will be accompanied by maps, images of illuminated manuscripts and of medieval objects. Students will be required to attend a weekly discussion section to discuss the medieval texts bearing on that weeks subject. The written course assignment will be a midterm, final and two short papers, one an analysis of a medieval text and a second an analysis of a modern text on the Middle Ages.

• Department: Summer Session (SUMM)
• TR 9 a.m.-1 p.m.
• Instructor: Neslihan Senocak
  CULPA: 5 Wikipedia Info
• 4 points

Introduction to Mathematical Modeling I

Intro Mathematical Modeli

Prerequisites: MATH UN1101 (Calculus I) or equivalent courses. This course introduces students to mathematical modeling through hands-on, project-based learning. Topics include fundamental concepts from linear algebra, multivariable calculus, differential equations, probability and statistics, and introductory machine learning.

• Department: Summer Session (SUMM)
• 3 points

INTERMEDIATE GERMAN I

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.

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE RUSSIAN I

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.

• Department: Summer Session (SUMM)
• MTWR 9 a.m.-1 p.m.
• Instructor: Marina Grineva
  Info
• 4 points

INTERMEDIATE SPANISH I

Prerequisites: SPAN S1102, or the equivalent. Equivalent to SPAN C1201 or F1201. Rapid grammar review, composition, and reading of literary works by contemporary authors.

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE SPANISH I

Prerequisites: SPAN S1102, or the equivalent. Equivalent to SPAN C1201 or F1201. Rapid grammar review, composition, and reading of literary works by contemporary authors.

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE GERMAN II

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.

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE RUSSIAN II

Prerequisites: RUSS UN2101 or placement test $15.00= Language Resource Fee, $15.00 = Materials Fee , Continuation of RUSS S2101H.

• Department: Summer Session (SUMM)
• MTWR 9 a.m.-1 p.m.
• Instructor: Marina Grineva
  Info
• 4 points

INTERMEDIATE SPANISH II

Prerequisites: SPAN S1201, or the equivalent. Equivalent to SPAN C1202 or F1202. Readings of contemporary authors, with emphasis on class discussion and composition.

• Department: Summer Session (SUMM)
• 4 points

INTERMEDIATE SPANISH II

Prerequisites: SPAN S1201, or the equivalent. Equivalent to SPAN C1202 or F1202. Readings of contemporary authors, with emphasis on class discussion and composition.

• Department: Summer Session (SUMM)
• 4 points