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:
Kimport, S. (PI)
;
Madnick, J. (PI)
;
Mueller, S. (PI)
...
more instructors for MATH 19 »
Instructors:
Kimport, S. (PI)
;
Madnick, J. (PI)
;
Mueller, S. (PI)
;
Falcone, P. (TA)
;
Izzo, Z. (TA)
;
Lolas, P. (TA)
;
Sprunger, C. (TA)
;
Stanton, C. (TA)
;
Wei, F. (TA)
MATH 51: Linear Algebra and Differential Calculus of Several Variables
Geometry and algebra of vectors, matrices and linear transformations, eigenvalues of symmetric matrices, vectorvalued functions and functions of several variables, partial derivatives and gradients, derivative as a matrix, chain rule in several variables, critical points and Hessian, leastsquares, , constrained and unconstrained optimization in several variables, Lagrange multipliers. Prerequisite: 21, 42, or the math placement diagnostic (offered through the Math Department website) in order to register for this course.
Terms: Aut, Win, Spr, Sum

Units: 5

UG Reqs: GER:DBMath, WAYFR

Grading: Letter or Credit/No Credit
Instructors:
Cohen, R. (PI)
;
Datta, I. (PI)
;
Devadas, S. (PI)
;
Helfer, J. (PI)
;
Lim, B. (PI)
;
Lucianovic, M. (PI)
;
Ohrt, C. (PI)
;
Perlmutter, N. (PI)
;
Szucs, G. (PI)
;
Tam, K. (PI)
;
Velcheva, K. (PI)
;
Wang, G. (PI)
;
White, B. (PI)
;
Wieczorek, W. (PI)
;
Zavyalov, B. (PI)
;
Zhou, Y. (PI)
;
Zhou, Z. (PI)
;
Zou, J. (PI)
;
Arana Herrera, F. (TA)
;
Guijarro Ordonez, J. (TA)
;
Helfer, J. (TA)
;
Nguyen, D. (TA)
;
Zhai, L. (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:
Dore, D. (PI)
;
Hershkovits, O. (PI)
;
Ljungberg, B. (PI)
...
more instructors for MATH 53 »
Instructors:
Dore, D. (PI)
;
Hershkovits, O. (PI)
;
Ljungberg, B. (PI)
;
Masullo, A. (PI)
;
Tokieda, T. (PI)
;
Wieczorek, W. (PI)
;
Zhang, S. (PI)
;
Zhu, B. (PI)
;
Ottolini, A. (TA)
;
Raju, C. (TA)
;
Zhang, S. (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: Win, Sum

Units: 3

UG Reqs: GER:DBMath

Grading: Letter or Credit/No Credit
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:
Kazeev, V. (PI)
;
Kemeny, M. (PI)
;
Khoo, Y. (PI)
;
Manners, F. (PI)
;
Falcone, P. (TA)
;
Sherman, D. (TA)
;
Velcheva, K. (TA)
;
Wang, 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: Win, 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: 21.
Terms: Aut, Spr, Sum

Units: 3

UG Reqs: GER:DBMath

Grading: Letter or Credit/No Credit
MATH 197: Senior Honors Thesis
Honors math major working on senior honors thesis under an approved advisor carries out research and reading. Satisfactory written account of progress achieved during term must be submitted to advisor before term ends. May be repeated 3 times for a max of 9 units. Contact department student services specialist to enroll.
Terms: Aut, Win, Spr, Sum

Units: 16

Repeatable for credit

Grading: Letter (ABCD/NP)
Instructors:
Bump, D. (PI)
;
Eliashberg, Y. (PI)
;
Fox, J. (PI)
;
Luk, J. (PI)
;
Reingold, O. (PI)
;
Ryzhik, L. (PI)
;
Savarese, S. (PI)
;
Vakil, R. (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:
Conrad, B. (PI)
;
Eliashberg, Y. (PI)
;
Fox, J. (PI)
...
more instructors for MATH 199 »
Instructors:
Conrad, B. (PI)
;
Eliashberg, Y. (PI)
;
Fox, J. (PI)
;
Fredrickson, L. (PI)
;
Mazzeo, R. (PI)
;
Perlmutter, N. (PI)
;
Ryzhik, L. (PI)
;
Tsai, C. (PI)