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Mathematics (MATH)
- https://dornsife.usc.edu/mathematics/
- D class assignments for undergraduates available in KAP; Phone: (213) 740-2400.
Review of Algebra. Real numbers, linear equations and inequalities, functions, graphs, systems of equations, exponents, polynomials, factoring, rational expressions, radicals, quadratic equations and solutions. Graded CR/NC.
- Note: Register for lecture & discussion
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39400D | 060 | Lecture | 9:00-9:50am | MWF | 9 of 30 | Lernik Asserian | ONLINE | ||
39401D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 9 of 30 | ONLINE |
Equations and inequalities; functions; graphs; polynomial and rational functions; exponential, logarithmic, and trigonometric function; analytic geometry.
- Prerequisite: MATH 040
- General Education: This course satisfies the university's general education requirement.
- Note: Register for lecture & one discussion
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39404D | 060 | Lecture | 9:00-9:50am | MWF | 34 of 49 | Jared Warner | ONLINE | PDF (283157 KB) | |
39405D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 16 of 25 | ONLINE | |||
39406D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 18 of 24 | ONLINE |
An introduction to the basic tools of statistics. Descriptive statistics; probability; expected value; normal approximation sampling; chance models; tests of significance. Recommended preparation: MATH 040x or math placement exam. Not available for major credit to Math students.
- General Education: This course satisfies the university's general education requirement.
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39985D | 060 | Lecture | 11:00-11:50am | MWF | 31 of 49 | Zhaoyu Zhang | ONLINE | PDF (1359215 MB) | |
39986D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 16 of 25 | ONLINE | |||
39987D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 15 of 24 | ONLINE | |||
39989D | 060 | Lecture | 1:00-1:50pm | MWF | 36 of 49 | Zhaoyu Zhang | ONLINE | PDF (1322045 MB) | |
39990D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 14 of 25 | ONLINE | |||
39991D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 22 of 24 | ONLINE |
Functions, graphs, polynomial and rational functions, exponential and logarithmic functions, matrices, systems of linear equations.
- Prerequisite: MATH 040
- General Education: This course satisfies the university's general education requirement.
- Note: Register for lecture & one discussion
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39410D | 060 | Lecture | 12:00-12:50pm | MWF | 19 of 49 | Yuan Gao | ONLINE | ||
39411D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 7 of 25 | ONLINE | |||
39412D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 12 of 24 | ONLINE |
Derivatives; extrema. Definite integral; fundamental theorem of calculus. Extrema and definite integrals for functions of several variables. Not available for credit toward a degree in mathematics. Prerequisites: MATH 108 or MATH 117 or placement exam in MATH.
- Prerequisite: 1 from (MATH 108 or MATH 117)
- General Education: This course satisfies the university's general education requirement.
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39414D | 060 | Lecture | 5:00-5:50pm | MWF | 41 of 49 | Spencer Gerhardt | ONLINE | PDF (65006 KB) | |
39415D | 060 | Discussion | 5:00-5:50pm | Tue, Thu | 23 of 25 | ONLINE | |||
39416D | 060 | Discussion | 6:00-6:50pm | Tue, Thu | 18 of 24 | ONLINE | |||
39422D | 060 | Lecture | 12:00-12:50pm | MWF | 45 of 49 | Spencer Gerhardt | ONLINE | PDF (64828 KB) | |
39423D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 25 | ONLINE | |||
39424D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 21 of 24 | ONLINE | |||
39426D | 060 | Lecture | 1:00-1:50pm | MWF | 47 of 49 | Michael Hall | ONLINE | ||
39427D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 25 | ONLINE | |||
39428D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 24 | ONLINE | |||
39430D | 060 | Lecture | 2:00-2:50pm | MWF | 46 of 49 | Michael Hall | ONLINE | ||
39431D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | ONLINE | |||
39432D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 23 of 24 | ONLINE |
Limits; continuity, derivatives and applications; antiderivatives; the fundamental theorem of calculus; exponential and logarithmic functions.
- Prerequisite: MATH 108
- General Education: This course satisfies the university's general education requirement.
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39434D | 060 | Lecture | 9:00-9:50am | MWF | 37 of 49 | Felicia Tabing | ONLINE | ||
39435D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | ONLINE | |||
39436D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 14 of 24 | ONLINE | |||
39437D | 060 | Lecture | 10:00-10:50am | MWF | 29 of 49 | Felicia Tabing | ONLINE | ||
39438D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 11 of 25 | ONLINE | |||
39439D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 18 of 24 | ONLINE | |||
39440D | 060 | Lecture | 11:00-11:50am | MWF | 47 of 49 | Jared Warner | ONLINE | PDF (322826 KB) | |
39441D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 25 of 26 | ONLINE | |||
39442D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 24 | ONLINE | |||
39443D | 060 | Lecture | 5:00-5:50pm | MWF | 26 of 49 | Roy Quintero Contreras | ONLINE | ||
39444D | 060 | Discussion | 5:00-5:50pm | Tue, Thu | 20 of 25 | ONLINE | |||
39445D | 060 | Discussion | 6:00-6:50pm | Tue, Thu | 6 of 24 | ONLINE | |||
39446D | 060 | Lecture | 12:00-12:50pm | MWF | 43 of 49 | Jared Warner | ONLINE | PDF (323105 KB) | |
39447D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 26 | ONLINE | |||
39448D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 20 of 24 | ONLINE | |||
39450D | 060 | Lecture | 1:00-1:50pm | MWF | 17 of 49 | Tommaso Cremaschi | ONLINE | PDF (100800 KB) | |
39451D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 7 of 25 | ONLINE | |||
39452D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 10 of 24 | ONLINE |
A continuation of MATH 125: trigonometric functions; applications of integration; techniques of integration; indeterminate forms; infinite series; Taylor series; polar coordinates.
- Prerequisite: MATH 125
- General Education: This course satisfies the university's general education requirement.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39464D | 060 | Lecture | 9:00-9:50am | MWF | 24 of 49 | Guillaume Dreyer | ONLINE | ||
39465D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 10 of 25 | ONLINE | |||
39466D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 14 of 24 | ONLINE | |||
39468D | 060 | Lecture | 10:00-10:50am | MWF | 22 of 49 | Guillaume Dreyer | ONLINE | ||
39469D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 11 of 25 | ONLINE | |||
39470D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 11 of 24 | ONLINE | |||
39472D | 060 | Lecture | 4:00-4:50pm | MWF | 43 of 49 | Trinh Nguyen | ONLINE | ||
39473D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 22 of 25 | ONLINE | |||
39474D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 21 of 24 | ONLINE | |||
39476D | 060 | Lecture | 12:00-12:50pm | MWF | 28 of 49 | Felicia Tabing | ONLINE | ||
39477D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 13 of 25 | ONLINE | |||
39478D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 15 of 24 | ONLINE | |||
39480D | 060 | Lecture | 5:00-5:50pm | MWF | 40 of 49 | Trinh Nguyen | ONLINE | ||
39481D | 060 | Discussion | 5:00-5:50pm | Tue, Thu | 23 of 25 | ONLINE | |||
39482D | 060 | Discussion | 6:00-6:50pm | Tue, Thu | 17 of 24 | ONLINE |
Trigonometric functions; applications of integration; techniques of integration; indeterminate forms; infinite series; Taylor series; polar coordinates. Engineering and physics applications. Prerequisite: MATH 125. (Duplicates credit in MATH 126 and MATH 127)
- Prerequisite: MATH 125
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39484D | 060 | Lecture | 10:00-10:50am | MWF | 48 of 49 | Michael Hall | ONLINE | ||
39485D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | ONLINE | |||
39486D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 25 of 26 | ONLINE | |||
39487D | 060 | Lecture | 1:00-1:50pm | MWF | 41 of 49 | Brendan Pawlowski | ONLINE | ||
39488D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 20 of 25 | ONLINE | |||
39489D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 24 | ONLINE |
Descriptive statistics, probability, discrete and continuous random variables, expectation and variance, sampling, Central Limit Theorem, estimation, hypothesis testing, correlation and regression. Emphasis on health science. Prerequisite: MATH 118xg or MATH 125.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39505D | 060 | Lecture | 11:00-11:50am | MWF | 11 of 49 | Chunming Wang | ONLINE |
Vectors, vector valued functions; differential and integral calculus of functions of several variables; Green's theorem, Divergence theorem, Stoke's theorem.
- Prerequisite: 1 from (MATH 126 or MATH 127 or MATH 129)
- General Education: This course satisfies the university's general education requirement.
- Note: Register for one lecture & one discussion listed immediately following that lecture This course carries GE credit but it is intended for a specific group of students rather than a general student audience.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39572D | 060 | Lecture | 9:00-9:50am | MWF | 30 of 49 | Cymra Haskell | ONLINE | ||
39573D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 16 of 25 | ONLINE | |||
39574D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 14 of 24 | ONLINE | |||
39575D | 060 | Lecture | 10:00-10:50am | MWF | Canceled | ||||
39576D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | Canceled | ||||
39577D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | Canceled | ||||
39579D | 060 | Lecture | 5:00-5:50pm | MWF | 44 of 49 | Neelesh Tiruviluamala | ONLINE | ||
39580D | 060 | Discussion | 5:00-5:50pm | Tue, Thu | 25 of 27 | ONLINE | |||
39581D | 060 | Discussion | 6:00-6:50pm | Tue, Thu | 19 of 25 | ONLINE | |||
39583D | 060 | Lecture | 11:00-11:50am | MWF | 20 of 49 | Roy Quintero Contreras | ONLINE | ||
39584D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 12 of 25 | ONLINE | |||
39585D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 8 of 24 | ONLINE | |||
39587D | 060 | Lecture | 12:00-12:50pm | MWF | 10 of 25 | Cymra Haskell | ONLINE | ||
39588D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 10 of 12 | ONLINE | |||
39589D | 060 | Discussion | 9:00-9:50am | Tue, Thu | Canceled | ||||
39591D | 060 | Lecture | 1:00-1:50pm | MWF | 46 of 49 | Neelesh Tiruviluamala | ONLINE | ||
39592D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 22 of 25 | ONLINE | |||
39593D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 24 of 24 | ONLINE | |||
39560D | 060 | Lecture | 2:00-2:50pm | MWF | 37 of 49 | Nathaniel Emerson | ONLINE | ||
39561D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 22 of 25 | ONLINE | |||
39562D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 15 of 24 | ONLINE |
A continuation of 129; vectors, vector valued functions; differential and integral calculus of functions of several variables; Greens theorem. Engineering and physics applications. Prerequisite: MATH 126, or MATH 127, or MATH 129.(Duplicates credit in MATH 226 and MATH 227)
- Prerequisite: 1 from (MATH 126 or MATH 127 or MATH 129)
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39564D | 060 | Lecture | 11:00-11:50am | MWF | 17 of 49 | Nathaniel Emerson | ONLINE | ||
39565D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 5 of 25 | ONLINE | |||
39566D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 12 of 24 | ONLINE | |||
39595D | 060 | Lecture | 12:00-12:50pm | MWF | 31 of 49 | Takahiro Sakai | ONLINE | ||
39596D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 17 of 25 | ONLINE | |||
39597D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 14 of 24 | ONLINE | |||
39598D | 060 | Lecture | 1:00-1:50pm | MWF | 44 of 49 | Takahiro Sakai | ONLINE | ||
39599D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | ONLINE | |||
39600D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 24 | ONLINE |
First-order differential equations; second-order linear differential equations; determinants and matrices; systems of linear differential equations; Laplace transforms.
- Prerequisite: 1 from (MATH 226 or MATH 227 or MATH 229)
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39601D | 060 | Lecture | 9:00-9:50am | MWF | 49 of 49 | Ramtin Sheikhhassani | ONLINE | PDF (202306 KB) | |
39602D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 25 of 25 | ONLINE | |||
39603D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 24 of 24 | ONLINE | |||
39605D | 060 | Lecture | 10:00-10:50am | MWF | 35 of 49 | Guillermo Reyes Souto | ONLINE | ||
39606D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 13 of 25 | ONLINE | |||
39607D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 24 | ONLINE | |||
39609D | 060 | Lecture | 11:00-11:50am | MWF | 48 of 49 | Ramtin Sheikhhassani | ONLINE | PDF (202306 KB) | |
39610D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 26 | ONLINE | |||
39611D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 24 | ONLINE | |||
39613D | 060 | Lecture | 12:00-12:50pm | MWF | 29 of 49 | Guillermo Reyes Souto | ONLINE | ||
39614D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 8 of 25 | ONLINE | |||
39615D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 24 | ONLINE | |||
39568D | 060 | Lecture | 1:00-1:50pm | MWF | Canceled | ||||
39569D | 060 | Discussion | 8:00-8:50am | Tue, Thu | Canceled | ||||
39570D | 060 | Discussion | 9:00-9:50am | Tue, Thu | Canceled | ||||
39617D | 060 | Lecture | 2:00-2:50pm | MWF | 12 of 25 | Qingtang Su | ONLINE | ||
39618D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | Canceled | ||||
39619D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 12 of 13 | ONLINE |
Confidence intervals, hypothesis testing, p-values, likelihood ratio, nonparametrics, descriptive statistics, regression, multiple linear regression, experimental design, analysis of variance, categorical data, chi-squared tests, Bayesian statistics.
- Prerequisite: MATH 307
- Note: Register for lecture & discussion
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39620D | 060 | Lecture | 2:00-2:50pm | MWF | 16 of 30 | Nivedita Bhaskhar | ONLINE | ||
39621D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 16 of 30 | ONLINE |
Systematic approach to solving non-standard and competition level math problems on inequalities, infinite sums and products, combinatorics, number theory and games.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39623D | 060 | Lecture | TBA | TBA | 6 of 10 | Greta Panova | ONLINE |
Probability spaces, discrete and continuous distributions, moments, characteristic functions, sequences of random variables, laws of large numbers, central limit theorem, special probability laws.
- Prerequisite: 1 from (MATH 226 or MATH 227 or MATH 229)
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39975D | 060 | Lecture | 10:00-10:50am | MWF | 47 of 49 | Jason Fulman | ONLINE | ||
39976D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 25 | ONLINE | |||
39977D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 23 of 24 | ONLINE | |||
39625D | 060 | Lecture | 12:00-12:50pm | MWF | 43 of 49 | Richard Arratia | ONLINE | PDF (61379 KB) | |
39626D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 25 | ONLINE | |||
39627D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 21 of 24 | ONLINE | |||
39628D | 060 | Lecture | 12:00-12:50pm | MWF | 49 of 49 | Jason Fulman | ONLINE | ||
39629D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 26 of 26 | ONLINE | |||
39630D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 24 | ONLINE | |||
39981D | 060 | Lecture | 1:00-1:50pm | MWF | 10 of 49 | Haitian Yue | ONLINE | PDF (133213 KB) | |
39982D | 060 | Discussion | 12:00-12:50pm | Tue, Thu | 4 of 25 | ONLINE | |||
39983D | 060 | Discussion | 1:00-1:50pm | Tue, Thu | 6 of 24 | ONLINE | |||
39992D | 060 | Lecture | 11:00-11:50am | MWF | 50 of 51 | Gary Rosen | ONLINE | ||
39993D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 27 of 27 | ONLINE | |||
39994D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 24 | ONLINE |
Principles for testing hypotheses and estimation, confidence intervals, methods of moments, maximum likelihood, information inequality, likelihood ratio tests, goodness of fit and nonparametric methods.
- Prerequisite: MATH 407
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39631D | 060 | Lecture | 10:00-10:50am | MWF | 31 of 49 | Jianfeng Zhang | ONLINE | ||
39632D | 060 | Discussion | 2:00-2:50pm | Tue, Thu | 19 of 25 | ONLINE | |||
39633D | 060 | Discussion | 3:00-3:50pm | Tue, Thu | 12 of 24 | ONLINE | |||
39635D | 060 | Lecture | 11:00-11:50am | MWF | 22 of 49 | Qi Feng | ONLINE | PDF (445930 KB) | |
39636D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 12 of 25 | ONLINE | |||
39637D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 10 of 24 | ONLINE | |||
39978D | 060 | Lecture | 12:00-12:50pm | MWF | 31 of 49 | Qi Feng | ONLINE | PDF (446178 KB) | |
39979D | 060 | Discussion | 10:00-10:50am | Tue, Thu | 15 of 25 | ONLINE | |||
39980D | 060 | Discussion | 11:00-11:50am | Tue, Thu | 16 of 24 | ONLINE |
Sets; relations; groups; homomorphisms; symmetric groups; Abelian groups; Sylow's theorems; introduction to rings and fields. Not open to students with credit in MATH 470. Prerequisite: MATH 225. Recommended preparation: one 400-level Mathematics course, excluding MATH-450.
- Prerequisite: MATH 225
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39641D | 060 | Lecture | 1:00-1:50pm | MWF | 16 of 29 | Spencer Gerhardt | ONLINE | PDF (57444 KB) | |
39642D | 060 | Discussion | 2:00-3:50pm | Tuesday | 16 of 30 | ONLINE |
The real number system, metric spaces, limits, continuity, derivatives and integrals, infinite series.
- Prerequisite: 1 from (MATH 226 or MATH 227 or MATH 229)
- Note: Register for one lecture & discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39644D | 060 | Lecture | 9:00-9:50am | MWF | 24 of 35 | Wojciech Ozanski | ONLINE | ||
39645D | 060 | Discussion | 10:00-11:50am | Tuesday | 24 of 35 | ONLINE | |||
39649D | 060 | Lecture | 10:00-10:50am | MWF | 23 of 35 | Wojciech Ozanski | ONLINE | ||
39650D | 060 | Discussion | 10:00-11:50am | Thursday | 23 of 35 | ONLINE |
Introduction to the theory of numbers, including prime factorization, congruences, primitive roots, N-th power residues, number theoretic functions and certain diophantine equations.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39648D | 060 | Lecture | 11:00-11:50am | MWF | 28 of 30 | Paul Tokorcheck | ONLINE | ||
39651D | 060 | Lecture | 1:00-1:50pm | MWF | 27 of 30 | Fedor Malikov | ONLINE |
Mathematical induction, counting principles, arrangements, selections, binomial coefficients, generating functions, recurrence relations, inclusion-exclusion, symmetric groups, graphs, Euler and Hamiltonian circuits, trees, graph algorithms; applications.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39653D | 060 | Lecture | 10:00-10:50am | MWF | 30 of 30 | Richard Arratia | ONLINE | PDF (146038 KB) | |
39654D | 060 | Lecture | 2:00-2:50pm | MWF | 28 of 30 | Sami Assaf | ONLINE | PDF (117094 KB) |
Vectors, elements of vector analysis, applications to curves and surfaces, standard material of differential geometry. Prerequisites may be waived for qualified students with consent of instructor.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39655D | 060 | Lecture | 2:00-2:50pm | MWF | 12 of 30 | Harold Williams | ONLINE |
Vector field theory; theorems of Gauss, Green, and Stokes; Fourier series and integrals; complex variables; linear partial differential equations; series solutions of ordinary differential equations.
- Prerequisite: 1 from (MATH 245 or (MATH 225 and MATH 226) or (MATH 225 and MATH 227) or (MATH 225 and MATH 229))
- Note: Register for one lecture & one discussion listed immediately following that lecture
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39661D | 060 | Lecture | 12:00-12:50pm | MWF | 15 of 35 | Tommaso Cremaschi | ONLINE | PDF (104672 KB) | |
39662D | 060 | Discussion | 8:00-8:50am | Tue, Thu | 6 of 20 | ONLINE | |||
39663D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 9 of 20 | ONLINE | |||
39665D | 060 | Lecture | 1:00-1:50pm | MWF | 35 of 35 | Nabil Ziane | ONLINE | PDF (74094 KB) | |
39666D | 060 | Discussion | 4:00-4:50pm | Tue, Thu | 21 of 22 | ONLINE | |||
39667D | 060 | Discussion | 5:00-5:50pm | Tue, Thu | 14 of 20 | ONLINE |
Mathematical aspects of Machine Learning. PAC Learning, VC-dimension and complexity. Linear predictors (regression, perceptron, SVM). Convex learning and gradient descent. Neural networks and backpropagation.
- Prerequisite: 1 from (MATH 226 or MATH 227 or MATH 229) and 1 from (MATH 208 or MATH 407) and 1 from (MATH 225 or MATH 245)
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39669D | 060 | Lecture | 2:00-2:50pm | MWF | 33 of 40 | Guillermo Reyes Souto | ONLINE |
Evolution of mathematical ideas and techniques as seen through a study of the contributions of eminent mathematicians to the formulation and solution of celebrated problems. Recommended preparation: upper division MATH course.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39670D | 060 | Lecture | 9:00-9:50am | MWF | 31 of 31 | Nathaniel Emerson | ONLINE |
Formulation and study of models arising in population dynamics, growth of plankton, pollution of rivers, highway traffic, morphogenesis and tidal dynamics: stability, oscillations, bifurcations, chaos. The lab will consist of computer simulation of models using commercially available software.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39675D | 060 | Lecture | 10:00-10:50am | MWF | 16 of 40 | Cymra Haskell | ONLINE | ||
39676D | 060 | Discussion | 9:00-9:50am | Tue, Thu | 16 of 40 | ONLINE |
Complex numbers and functions. Power series, analytic functions, harmonic functions. Complex integration, Cauchy's theorem, Cauchy's formula. Conformal mapping. Applications in physics and engineering.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39682D | 060 | Lecture | 1:00-1:50pm | MWF | 27 of 30 | Francis Bonahon | ONLINE |
Individual research and readings. Not available for graduate credit.
- Restriction: Registration open to the following class level(s): Junior, Senior
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39687D | 001 | Lecture | TBA | TBA | 9 of 12 | Eric Friedlander | OFFICE & ONLINE |
Lectures on advanced material not covered in regularly scheduled courses. No more than two registrations allowed. Prerequisite: Departmental Approval.
Section | Session | Units | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|---|
Mathematical Reasoning and Problem Solving | ||||||||||
39690D | 060 | 4.0 | Lecture | 2:00-3:30pm | Mon, Wed | 21 of 29 | David Crombecque | ONLINE |
Lectures directed to mathematics graduate students by faculty of the department and by outside speakers. Problem solving workshops. Graded CR/NC.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39692R | 060 | Lecture | TBA | TBA | 13 of 25 | Sami Assaf | ONLINE |
Linear equations and matrices, Gauss elimination, error estimates, iteration techniques; contractive mappings, Newton's method; matrix eigenvalue problems; least-squares approximation, Newton-Cotes and Gaussian quadratures; finite difference methods. Prerequisite: linear algebra and calculus.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39694R | 060 | Lecture | 12:00-12:50pm | MWF | 22 of 35 | Haitian Yue | ONLINE | PDF (143820 KB) |
Computational linear algebra; solution of general nonlinear systems of equations; approximation theory using functional analysis; numerical solution of ordinary and partial differential equations.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39698R | 060 | Lecture | 9:00-9:50am | MWF | 5 of 40 | Chunming Wang | ONLINE |
Markov processes in discrete or continuous time; renewal processes; martingales; brownian motion and diffusion theory; random walks, inventory models, population growth, queuing models, shot noise.
- Prerequisite: MATH 505A
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39708R | 001 | Lecture | 1:00-1:50pm | MWF | 10 of 29 | Steven Heilman,Arnold Deal | CPA150 & ONLINE | PDF (86045 KB) |
a: Probability spaces; distributions and characteristic functions; laws of large numbers, central limit problems; stable and infinitely divisible laws; conditional distributions. Prerequisite: 525a or 570. b: Dependence, martingales, ergodic theorems, second-order random functions, harmonic analysis, Markov processes.
- Prerequisite: MATH 507A
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39716R | 060 | Lecture | 1:00-1:50pm | MWF | 5 of 20 | Sergey Lototsky | ONLINE |
B: Commutative Algebra: Integrality, Hilbert Basis theorem, Hilbert Nullstellensatz; Modules: modules over PID's, chain conditions, tensor products; Noncommutative Rings: Jacobson radical, Artin-Wedderburn theorem, Maschke's theorem.
- Prerequisite: MATH 510A
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39724R | 001 | Lecture | 12:00-12:50pm | MWF | 8 of 20 | M. Susan Montgomery | THH118 & ONLINE |
Major parametric and non-parametric statistical tools used in biomedical research, computer packages including SAS. Includes laboratory. Lecture, 2 hours; laboratory, 2 hours.
- Prerequisite: PM 510
- Crosslist: This course is offered by the PM department but may qualify for major credit in MATH. To register, enroll in PM 511a.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
41084D | 407 | Lecture | TBA | TBA | 16 of 25 | Amanda Goodrich | ONLINE | ||
41209D | 407 | Lecture | TBA | TBA | 15 of 25 | Amanda Goodrich | ONLINE | ||
41082D | 046 | Lecture | 1:05-2:55pm | Friday | 29 of 37 | Farzana Choudhury | ONLINE | PDF (376491 KB) | |
41059D | 046 | Lab | 3:05-5:05pm | Friday | 29 of 37 | Farzana Choudhury | ONLINE | ||
41083D | 046 | Lab | 11:00-12:50pm | Friday | Canceled | Farzana Choudhury | |||
41085D | 407 | Lab | TBA | TBA | 16 of 25 | Amanda Goodrich | ONLINE | ||
41210D | 407 | Lab | TBA | TBA | 15 of 25 | Amanda Goodrich | ONLINE |
Statistical methods for analysis of categorical data including dichotomous, ordinal, multinomial and count data, using Stata package. Includes laboratory.
- Prerequisite: PM 511A
- Crosslist: This course is offered by the PM department but may qualify for major credit in MATH. To register, enroll in PM 511b.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
41063D | 046 | Lecture | 9:30-11:20am | Tuesday | 23 of 35 | Trevor Pickering | ONLINE | ||
41086D | 407 | Lecture | TBA | TBA | 19 of 25 | Sue Ingles | ONLINE | ||
41065D | 046 | Lab | 11:35-1:25pm | Tuesday | 23 of 35 | Trevor Pickering | ONLINE | ||
41087D | 407 | Lab | TBA | TBA | 19 of 25 | Sue Ingles | ONLINE |
Experimental laboratory trading for financial markets using double auctions: handling statistical packages for data analysis. Practical training in virtual market environments, using financial trading system software.
- Note: Register for lecture & one discussion
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39726R | 060 | Lecture | 1:00-1:50pm | MWF | 14 of 40 | Ricardo Mancera | ONLINE | ||
39727R | 060 | Discussion | TBA | TBA | 14 of 20 | ONLINE | |||
39728R | 060 | Discussion | TBA | TBA | 0 of 20 | ONLINE |
Theory of analytic functions--power series and integral representations, calculus of residues, harmonic functions, normal families, approximation theorems, conformal mapping, analytical continuation.
- Prerequisite: MATH 425B
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39734R | 001 | Lecture | 2:00-2:50pm | MWF | 13 of 20 | Nicolai Haydn | KAP158 & ONLINE |
a: Measure and integration over abstract measure spaces, Radon-Nikodym theorem, Fubini's theorem, convergence theorems, differentiation. Prerequisite: 425ab. b: Metric spaces, contraction principle, category, Banach spaces, Riesz representation theorem, properties of Lp, Hilbert spaces, orthogonal expansions, Fourier series and transforms, convolutions. Prerequisite: 525a.
- Prerequisite: MATH 525A
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39740R | 060 | Lecture | 9:00-9:50am | MWF | 14 of 30 | Ken Alexander | ONLINE |
Advanced topics in stochastic analysis, asset pricing in continuous time, stochastic control, Hamilton-Jacobi-Bellman equations, incomplete markets, American options, exotic options, term structure of interest rates. Duplicates credit in the former MATH-506.
- Prerequisite: MATH 530a
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39741R | 060 | Lecture | 2:00-3:15pm | Wed, Fri | 14 of 40 | Jin Ma | ONLINE |
Walks in graphs, random walks, group actions on boolean algebras, Young diagrams and tableaux, the Matrix-Tree Theorem.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39757R | 060 | Lecture | 1:00-1:50pm | MWF | 9 of 30 | Greta Panova | ONLINE |
Elementary theory of manifolds, Lie groups, homogeneous spaces, fiber bundles and connections. Riemannian manifolds, curvature and conjugate points, second fundamental form, other topics. Prerequisite: 440.
- Prerequisite: MATH 440
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39756R | 060 | Lecture | 11:00-11:50am | MWF | 9 of 20 | Kyler Siegel | ONLINE |
Parametric families of distributions, sufficiency. Estimation: methods of moments, maximum likelihood, unbiased estimation. Comparison of estimators, optimality, information inequality, asymptotic efficiency. EM algorithm, jacknife and bootstrap.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39760R | 060 | Lecture | 11:00-11:50am | MWF | 34 of 50 | Jianfeng Zhang | ONLINE |
Least squares estimation in the linear model, analysis of variance and covariance, F-test, multiple comparisons, multiple regression, selection of variables; introduction to experimental design.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39766R | 060 | Lecture-Lab | 9:00-9:50am | MWF | 9 of 25 | Mohamed Ndaoud | ONLINE |
Transfer function models; stationary, nonstationary processes; moving average, autoregressive models; spectral analysis; estimation of mean, autocorrelation, spectrum; seasonal time series.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39769R | 060 | Lecture-Lab | 9:00-9:50am | MWF | 12 of 30 | Stanislav Minsker | ONLINE |
Existence, uniqueness and continuation of solutions, differential inequalities, linear systems, Sturm-Liouville theory, boundary value problems, Poincare-Bendixson theory, periodic solutions, perturbations, stability, fixed point techniques.
- Prerequisite: MATH 425B
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39795R | 060 | Lecture | 12:00-12:50pm | MWF | 3 of 20 | Robert Sacker | ONLINE | PDF (105639 KB) |
Applications of the mathematical, statistical and computational sciences to data from molecular biology. Algorithms for genomic sequence data: sequence and map assembly and alignment, RNA secondary structure, protein structure, gene-finding, and tree construction. Recommended preparation: familiarity with the concepts of basic molecular biology as covered in BISC 320.
- Prerequisite: CSCI 570
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39818R | 060 | Lecture | 11:00-12:20pm | Tue, Thu | 7 of 15 | Andrew Smith | ONLINE |
Research leading to the master's degree. Maximum units which may be applied to the degree to be determined by the department. Graded CR/NC.
Section | Session | Units | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|---|
39833D | 001 | 3.0 | Lecture | TBA | TBA | 4 of 15 | Yuan Gao | ONLINE | ||
39834D | 001 | 1.0-12.0 | Lecture | TBA | TBA | 9 of 20 | Eric Friedlander | OFFICE & ONLINE | ||
39835D | 001 | 1.0 | Lecture | TBA | TBA | 6 of 20 | Jin Ma | OFFICE & ONLINE |
Credit on acceptance of thesis.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39838R | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |
Part-time or full-time, practical work experience in the students field of study. The internship must be located at an off-campus facility. Students are individually supervised by faculty. May not be taken until the student has completed at least one semester of enrollment in the graduate program with a cumulative 3.0 GPA.
- Restriction: Registration open to the following class level(s): Doctoral Student, Master Student
Section | Session | Units | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|---|
39941D | 001 | 1.0 | Lecture | TBA | TBA | 0 of 5 | OFFICE |
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39943R | 001 | Lecture | TBA | TBA | 7 of 20 | Remigijus Mikulevicius | TBA |
Introduction to both classical and modern aspects of algebraic geometry. Topics include aspects of commutative algebra, algebraic curves, algebraic varieties and schemes, and sheaf cohomology.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39944R | 060 | Lecture | TBA | TBA | 10 of 20 | Aravind Asok | ONLINE |
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39946R | 060 | Lecture | TBA | TBA | 17 of 20 | Sheel Ganatra | ONLINE |
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39948D | 060 | Lecture | TBA | TBA | 9 of 10 | Sergey Lototsky | ONLINE |
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39949D | 060 | Lecture | TBA | TBA | 0 of 10 | ONLINE |
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39950D | 060 | Lecture | TBA | TBA | 0 of 10 | ONLINE |
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39952D | 060 | Lecture | TBA | TBA | 0 of 10 | ONLINE |
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39951D | 060 | Lecture | TBA | TBA | 0 of 10 | ONLINE |
Research leading to the doctorate. Maximum units which may be applied to the degree to be determined by the department. Graded CR/NC.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39960D | 001 | Lecture | TBA | TBA | 14 of 20 | Eric Friedlander | OFFICE & ONLINE |
Credit on acceptance of dissertation.
Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|
39961D | 001 | Lecture | TBA | TBA | 3 of 10 | OFFICE |