Mathematics
The Mathematics Department offers courses at all levels, from introductory and advanced, in various disiplines during the summer term.
Please note, it is not necessary to complete pre-requisites at Columbia University. Students are expected to meet pre-requisite requirements prior to registration.
For questions about specific courses, contact the department.
Courses
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.
Course Number
MATH1003S001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Mo 16:30-18:05Tu 16:30-18:05We 16:30-18:05Th 16:30-18:05Section/Call Number
001/10104Enrollment
5 of 30Instructor
Lindsay PiechnikCourse Number
MATH1101S001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Tu 09:00-12:10Th 09:00-12:10Section/Call Number
001/10105Enrollment
14 of 30Instructor
Baiqing ZhuCourse Number
MATH1101S002Format
In-PersonSession
Session BPoints
3 ptsSummer 2024
Times/Location
Tu 13:00-16:10Th 13:00-16:10Section/Call Number
002/10106Enrollment
19 of 30Instructor
Matthew Hase-LiuCourse Number
MATH1102S001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Mo 09:00-12:10We 09:00-12:10Section/Call Number
001/10107Enrollment
9 of 30Instructor
Nikita KlemyatinCourse Number
MATH1102S002Format
In-PersonSession
Session BPoints
3 ptsSummer 2024
Times/Location
Mo 13:00-16:10We 13:00-16:10Section/Call Number
002/10108Enrollment
7 of 30Instructor
Penka MarinovaCourse Number
MATH1201S001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Tu 13:00-16:10Th 13:00-16:10Section/Call Number
001/10109Enrollment
15 of 30Instructor
Chuwen WangCourse Number
MATH1201S002Format
In-PersonSession
Session BPoints
3 ptsSummer 2024
Times/Location
Mo 13:00-16:10We 13:00-16:10Section/Call Number
002/10110Enrollment
11 of 30Instructor
Alex ScheffelinPrerequisites: 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
Course Number
MATH1202S001Format
In-PersonSession
Session BPoints
3 ptsSummer 2024
Times/Location
Mo 09:00-12:10We 09:00-12:10Section/Call Number
001/10140Enrollment
14 of 30Instructor
Fabio NironiCourse Number
MATH2010S001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Tu 13:00-16:10Th 13:00-16:10Section/Call Number
001/10111Enrollment
13 of 30Instructor
Patrick LeiCourse Number
MATH2010S002Format
In-PersonSession
Session BPoints
3 ptsSummer 2024
Times/Location
Tu 13:00-16:10Th 13:00-16:10Section/Call Number
002/10112Enrollment
16 of 30Instructor
Rafah Hajjar MunozLinear algebra with a focus on probability and statistics. The course covers the standard linear algebra topics: systems of linear equations, matrices, determinants, vector spaces, bases, dimension, eigenvalues and eigenvectors, the Spectral Theorem and singular value decompositions. It also teaches applications of linear algebra to probability, statistics and dynamical systems giving a background sufficient for higher level courses in probability and statistics. The topics covered in the probability theory part include conditional probability, discrete and continuous random variables, probability distributions and the limit theorems, as well as Markov chains, curve fitting, regression, and pattern analysis. The course contains applications to life sciences, chemistry, and environmental life sciences. No a prior i background in the life sciences is assumed.
This course is best suited for students who wish to focus on applications and practical approaches to problem solving. It is recommended to students majoring in engineering, technology, life sciences, social sciences, and economics. Math majors, joint majors, and math concentrators must take MATH UN2010 Linear Algebra, which focuses on linear algebra concepts and foundations that are needed for upper-level math courses. MATH UN2015 (Linear Algebra and Probability) does NOT replace MATH UN2010 (Linear Algebra) as prerequisite requirements of math courses. Students may not receive full credit for both courses MATH UN2010 and MATH UN2015.
Course Number
MATH2015WD01Format
On-Line OnlySession
Session APoints
3 ptsSummer 2024
Times/Location
Mo 16:30-18:05Tu 16:30-18:05We 16:30-18:05Th 16:30-18:05Section/Call Number
D01/10339Enrollment
25 of 30Instructor
George DragomirPrerequisites: 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.
Course Number
MATH2030V001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Tu 09:00-12:10Th 09:00-12:10Section/Call Number
001/10114Enrollment
8 of 30Instructor
Caleb JiPrerequisites: 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.
Course Number
MATH2030V002Format
In-PersonSession
Session BPoints
3 ptsSummer 2024
Times/Location
Mo 17:30-20:40We 17:30-20:40Section/Call Number
002/10115Enrollment
14 of 30Instructor
Qiyao YuCourse Number
MATH2500S001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Mo 13:00-16:10We 13:00-16:10Section/Call Number
001/10116Enrollment
13 of 30Instructor
Jingbo WanPrerequisites: MATH UN1102 and MATH UN1202 and MATH UN2010 or the equivalent. The second term of this course may not be taken without the first. Groups, homomorphisms, normal subgroups, the isomorphism theorems, symmetric groups, group actions, the Sylow theorems, finitely generated abelian groups.
Course Number
MATH4041W001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Tu 13:00-16:10Th 13:00-16:10Section/Call Number
001/12201Enrollment
2 of 30Instructor
Alexander CastiPrerequisites: MATH S1202, MATH S2010, or the equivalent. Students must have a current and solid background in the prerequisites for the course: multivariable calculus and linear algebra. Elements of set theory and general topology. Metric spaces. Euclidian space. Continuous and differentiable functions. Riemann integral. Uniform convergence.
Course Number
MATH4061S001Format
In-PersonSession
Session APoints
3 ptsSummer 2024
Times/Location
Tu 17:30-20:40Th 17:30-20:40Section/Call Number
001/10117Enrollment
19 of 30Instructor
Andre CarneiroPrerequisites: all 6 MAFN core courses, at least 6 credits of approved electives, and the instructors permission. See the MAFN website for details. This course provides an opportunity for MAFN students to engage in off-campus internships for academic credit that counts towards the degree. Graded by letter grade. Students need to secure an internship and get it approved by the instructor.