MATH 19: Calculus
Introduction to differential calculus of functions of one variable. Review of elementary functions (including exponentials and logarithms), limits, rates of change, the derivative and its properties, applications of the derivative. Prerequisites: trigonometry, advanced algebra, and analysis of elementary functions (including exponentials and logarithms). You must have taken the math placement diagnostic (offered through the Math Department website) in order to register for this course.
Terms: Aut, Win, Sum

Units: 3

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
AlvarezGavela, D. (PI)
;
Kimport, S. (PI)
;
Pollack, A. (PI)
...
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Instructors:
AlvarezGavela, D. (PI)
;
Kimport, S. (PI)
;
Pollack, A. (PI)
;
Arana Herrera, F. (TA)
;
Dore, D. (TA)
;
He, X. (TA)
;
Zavyalov, B. (TA)
;
Zhou, Z. (TA)
MATH 53: Ordinary Differential Equations with Linear Algebra
Ordinary differential equations and initial value problems, systems of linear differential equations with constant coefficients, applications of secondorder equations to oscillations, matrix exponentials, Laplace transforms, stability of nonlinear systems and phase plane analysis, numerical methods. Prerequisite: 51 or equivalents.
Terms: Aut, Win, Spr, Sum

Units: 5

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Eliashberg, Y. (PI)
;
Fredrickson, L. (PI)
;
Hershkovits, O. (PI)
...
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Instructors:
Eliashberg, Y. (PI)
;
Fredrickson, L. (PI)
;
Hershkovits, O. (PI)
;
Love, J. (PI)
;
Mantoulidis, C. (PI)
;
Raju, C. (PI)
;
Tam, K. (PI)
;
Yang, T. (PI)
;
Madnick, J. (TA)
;
Silliman, J. (TA)
MATH 106: Functions of a Complex Variable
Complex numbers, analytic functions, CauchyRiemann equations, complex integration, Cauchy integral formula, residues, elementary conformal mappings. (
Math 116 offers a more theoretical treatment.) Prerequisite: 52.
Terms: Spr, Sum

Units: 3

UG Reqs: GER:DBMath

Grading: Letter or Credit/No Credit
Instructors:
Li, J. (PI)
;
Guijarro Ordonez, J. (TA)
MATH 113: Linear Algebra and Matrix Theory
Algebraic properties of matrices and their interpretation in geometric terms. The relationship between the algebraic and geometric points of view and matters fundamental to the study and solution of linear equations. Topics: linear equations, vector spaces, linear dependence, bases and coordinate systems; linear transformations and matrices; similarity; eigenvectors and eigenvalues; diagonalization. (
Math 104 offers a more applicationoriented treatment.)
Terms: Aut, Win, Spr, Sum

Units: 3

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Chatterjee, S. (PI)
;
Li, J. (PI)
;
Manners, F. (PI)
...
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Instructors:
Chatterjee, S. (PI)
;
Li, J. (PI)
;
Manners, F. (PI)
;
Pan, D. (TA)
;
Safaee, P. (TA)
;
Szucs, G. (TA)
;
Zhou, Y. (TA)
MATH 114: Introduction to Scientific Computing (CME 108)
Introduction to Scientific Computing Numerical computation for mathematical, computational, physical sciences and engineering: error analysis, floatingpoint arithmetic, nonlinear equations, numerical solution of systems of algebraic equations, banded matrices, least squares, unconstrained optimization, polynomial interpolation, numerical differentiation and integration, numerical solution of ordinary differential equations, truncation error, numerical stability for time dependent problems and stiffness. Implementation of numerical methods in MATLAB programming assignments. Prerequisites:
MATH 51, 52, 53; prior programming experience (MATLAB or other language at level of
CS 106A or higher).
Terms: Sum

Units: 3

UG Reqs: GER:DBEngrAppSci, WAYAQR, WAYFR

Grading: Letter or Credit/No Credit
MATH 115: Functions of a Real Variable
The development of real analysis in Euclidean space: sequences and series, limits, continuous functions, derivatives, integrals. Basic point set topology. Honors math majors and students who intend to do graduate work in mathematics should take 171. Prerequisite: 51.
Terms: Aut, Sum

Units: 3

UG Reqs: GER:DBMath

Grading: Letter or Credit/No Credit
MATH 198: Practical Training
Only for undergraduate students majoring in mathematics. Students obtain employment in a relevant industrial or research activity to enhance their professional experience. Students submit a concise report detailing work activities, problems worked on, and key results. May be repeated for credit up to 3 units. Prerequisite: qualified offer of employment and consent of department. Prior approval by Math Department is required; you must contact the Math Department's Student Services staff for instructions before being granted permission to enroll.
Terms: Sum

Units: 1

Repeatable for credit

Grading: Satisfactory/No Credit
Instructors:
Conrad, B. (PI)
MATH 199: Independent Work
For math majors only. Undergraduates pursue a reading program; topics limited to those not in regular department course offerings. Credit can fulfill the elective requirement for math majors. Approval of Undergraduate Affairs Committee is required to use credit for honors majors area requirement. Contact department student services specialist to enroll.
Terms: Aut, Win, Spr, Sum

Units: 13

Repeatable for credit

Grading: Letter or Credit/No Credit
Instructors:
Bump, D. (PI)
;
Carlsson, G. (PI)
;
Conrad, B. (PI)
...
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Instructors:
Bump, D. (PI)
;
Carlsson, G. (PI)
;
Conrad, B. (PI)
;
Fox, J. (PI)
;
Mazzeo, R. (PI)
;
Pollack, A. (PI)
;
Schoen, R. (PI)
;
Vakil, R. (PI)
;
Vasy, A. (PI)
MATH 360: Advanced Reading and Research
Terms: Aut, Win, Spr, Sum

Units: 110

Repeatable for credit

Grading: Letter or Credit/No Credit
Instructors:
Bump, D. (PI)
;
Candes, E. (PI)
;
Carlsson, G. (PI)
...
more instructors for MATH 360 »
Instructors:
Bump, D. (PI)
;
Candes, E. (PI)
;
Carlsson, G. (PI)
;
Chatterjee, S. (PI)
;
Church, T. (PI)
;
Cohen, R. (PI)
;
Conrad, B. (PI)
;
Dembo, A. (PI)
;
Diaconis, P. (PI)
;
Eliashberg, Y. (PI)
;
Fox, J. (PI)
;
Galatius, S. (PI)
;
Ionel, E. (PI)
;
Kerckhoff, S. (PI)
;
Li, J. (PI)
;
Luk, J. (PI)
;
Mazzeo, R. (PI)
;
Mirzakhani, M. (PI)
;
Papanicolaou, G. (PI)
;
Pardon, J. (PI)
;
Poulson, J. (PI)
;
Rajaratnam, B. (PI)
;
Ryzhik, L. (PI)
;
Schoen, R. (PI)
;
Soundararajan, K. (PI)
;
Vakil, R. (PI)
;
Vasy, A. (PI)
;
Venkatesh, A. (PI)
;
Vondrak, J. (PI)
;
White, B. (PI)
;
Wright, A. (PI)
;
Ying, L. (PI)