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## Mathematics

## Mathematics **(MATH)**

- https://dornsife.usc.edu/mathematics/
- D class assignments for undergraduates available in KAP108; phone (213) 740-2400.

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 and one discussion

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39400R | 001 | Lecture | 9:00-9:50am | MWF | 1 of 49 | Jesse Levitt | GFS207 | ||

39401R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | KAP167 | |||

39402R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 1 of 24 | KAP167 |

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 and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39985R | 001 | Lecture | 10:00-10:50am | MWF | 0 of 49 | Cindy Blois | SOSB46 | ||

39986R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | KAP134 | |||

39987R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | KAP134 | |||

39989R | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 49 | Cindy Blois | THH210 | ||

39990R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | THH108 | |||

39991R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | THH108 |

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 and one discussion

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39410R | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | Jesse Levitt | GFS118 | ||

39411R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | KAP134 | |||

39412R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | KAP134 |

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 and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39414R | 001 | Lecture | 9:00-9:50am | MWF | 0 of 49 | Cymra Haskell | WPHB28 | ||

39415R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | KAP141 | |||

39416R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | KAP141 | |||

39418R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | Michael Hall | SSL150 | ||

39419R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | GFS114 | |||

39420R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | VKC160 | |||

39422R | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | Cymra Haskell | VKC156 | ||

39423R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | GFS213 | |||

39424R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | GFS213 | |||

39426R | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 49 | Felicia Tabing | GFS101 | ||

39427R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | GFS114 | |||

39428R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | GFS114 | |||

39430R | 001 | Lecture | 2:00-2:50pm | MWF | 0 of 49 | Felicia Tabing | VKC100 | ||

39431R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | GFS213 | |||

39432R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | GFS213 |

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 and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39434R | 001 | Lecture | 9:00-9:50am | MWF | 0 of 49 | Gene Kim | KAP146 | ||

39435R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | KAP113 | |||

39436R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | KAP113 | |||

39437R | 001 | Lecture | 10:00-10:50am | MWF | 1 of 49 | Paul Tokorcheck | ZHS163 | ||

39438R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | KAP113 | |||

39439R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 1 of 24 | KAP113 | |||

39440R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | Paul Tokorcheck | ZHS352 | ||

39441R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | KAP159 | |||

39442R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | KAP159 | |||

39443R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | Guillaume Dreyer | THH212 | ||

39444R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | KAP134 | |||

39445R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | KAP134 | |||

39446R | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | Guillaume Dreyer | GFS101 | ||

39447R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | KAP134 | |||

39448R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | KAP134 | |||

39450R | 001 | Lecture | 1:00-1:50pm | MWF | 1 of 49 | Gene Kim | ZHS352 | ||

39451R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | KAP113 | |||

39452R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 1 of 24 | KAP113 |

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.**Note:**Register for one lecture and 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 |
---|---|---|---|---|---|---|---|---|---|

39460R | 001 | Lecture | 9:00-9:50am | MWF | 0 of 49 | Felicia Tabing | GFS118 | ||

39461R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | KAP159 | |||

39462R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | KAP159 | |||

39464D | 001 | Lecture | 9:00-9:50am | MWF | 0 of 49 | Nabil Ziane | VKC100 | ||

39465R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | KAP165 | |||

39466R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | KAP165 | |||

39468D | 001 | Lecture | 10:00-10:50am | MWF | 0 of 49 | Nabil Ziane | VKC150 | ||

39469R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | KAP165 | |||

39470R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | KAP165 | |||

39472R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | Nathaniel Emerson | VKC150 | ||

39473R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | KAP165 | |||

39474R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | KAP165 | |||

39476D | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | Nathaniel Emerson | LVL17 | ||

39477R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | GFS213 | |||

39478R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | GFS213 | |||

39480R | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 49 | Sami Assaf | SOSB4 | ||

39481R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | KAP141 | |||

39482R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | KAP141 |

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 and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39484D | 001 | Lecture | 10:00-10:50am | MWF | 0 of 49 | Guillermo Reyes Souto | LVL16 | ||

39485R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | GFS114 | |||

39486R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | GFS114 | |||

39487D | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | Guillermo Reyes Souto | SOSB44 | ||

39488R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | GFS220 | |||

39489R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | GFS220 |

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 |
---|---|---|---|---|---|---|---|---|---|

39505R | 001 | Lecture | 11:00-11:50am | MWF | 1 of 49 | Brendan Pawlowski | LVL16 |

Matrices, systems of linear equations, vector spaces, linear transformations, eigenvalues, systems of linear differential equations. Prerequisites: MATH 126 or MATH 127.

**Prerequisite:**1 from (MATH 126 or MATH 127)**Note:**Register for one lecture and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39523R | 001 | Lecture | 9:00-9:50am | MWF | 0 of 49 | Haitian Yue | VKC102 | ||

39524R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | KAP167 | |||

39525R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | KAP167 | |||

39526R | 001 | Lecture | 10:00-10:50am | MWF | 1 of 49 | Marc Hoyois | SOSB4 | ||

39527R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 1 of 25 | GFS108 | |||

39528R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | GFS108 | |||

39530R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | Marc Hoyois | SOSB4 | ||

39531R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | GFS108 | |||

39532R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | GFS108 | |||

39534R | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | Aravind Asok | VPD116 | ||

39535R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | GFS108 | |||

39536R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | GFS108 | |||

39550D | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 49 | Neelesh Tiruviluamala | VKC102 | ||

39551R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | GFS108 | |||

39552R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | GFS108 | |||

39554D | 001 | Lecture | 2:00-2:50pm | MWF | 0 of 49 | Neelesh Tiruviluamala | THH116 | ||

39555R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | GFS109 | |||

39556R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | GFS109 |

A continuation of MATH 126; vectors, vector valued functions; differential and integral calculus of functions of several variables; Green's theorem.

**Prerequisite:**1 from (MATH 126 or MATH 127)**General Education:**This course satisfies the university's general education requirement.**Note:**Register for one lecture and 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 |
---|---|---|---|---|---|---|---|---|---|

39575R | 001 | Lecture | 9:00-9:50am | MWF | 1 of 49 | Ricardo Mancera | GFS101 | ||

39576R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | THH108 | |||

39577R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 1 of 24 | THH108 | |||

39579D | 001 | Lecture | 10:00-10:50am | MWF | 0 of 49 | Ricardo Mancera | VKC100 | ||

39580R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | GFS220 | |||

39581R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | GFS220 | |||

39583R | 001 | Lecture | 11:00-11:50am | MWF | 1 of 49 | Juhi Jang | VKC100 | ||

39584R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | GFS220 | |||

39585R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 1 of 24 | GFS220 | |||

39587R | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | Juhi Jang | THH210 | ||

39588R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | VKC161 | |||

39589R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | VKC161 | |||

39591D | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 49 | Paul Tokorcheck | VKC100 | ||

39592R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | GFS114 | |||

39593R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | GFS114 |

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 and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39595D | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | VKC100 | |||

39596R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | GFS113 | |||

39597R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | GFS113 | |||

39598D | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 49 | THH116 | |||

39599R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | GFS213 | |||

39600R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | GFS213 |

First-order differential equations; second-order linear differential equations; determinants and matrices; systems of linear differential equations; Laplace transforms. Prerequisites: MATH 226 or MATH 227.

**Prerequisite:**1 from (MATH 226 or MATH 227)**Note:**Register for one lecture and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39601D | 001 | Lecture | 9:00-9:50am | MWF | 0 of 49 | THH116 | |||

39602R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 0 of 25 | THHB10 | |||

39603R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | THHB10 | |||

39605R | 001 | Lecture | 10:00-10:50am | MWF | 0 of 49 | David Crombecque | VKC102 | ||

39606R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | THHB10 | |||

39607R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | THHB10 | |||

39609D | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | VKC102 | |||

39610R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | THHB10 | |||

39611R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 0 of 24 | THHB10 | |||

39613D | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | David Crombecque | VKC102 | ||

39614R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | VHE214 | |||

39615R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | VHE214 | |||

39617R | 001 | Lecture | 2:00-2:50pm | MWF | 0 of 49 | Michael Hall | THH114 | ||

39618R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | KAP141 | |||

39619R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | KAP141 |

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 and discussion

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39620R | 001 | Lecture | 2:00-2:50pm | MWF | 0 of 20 | Gene Kim | KAP165 | ||

39621R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 20 | VKC110 |

Systematic approach to solving non-standard and competition level math problems on inequalities, infinite sums and products, combinatorics, number theory, and games.

**Recommended preparation:**MATH 126 or MATH 127.Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39623R | 001 | Lecture | TBA | Monday | 0 of 15 | Richard Arratia | OFFICE |

Probability spaces, discrete and continuous distributions, moments, characteristic functions, sequences of random variables, laws of large numbers, central limit theorem, special probability laws. Prerequisite: MATH 226 or MATH 227.

**Prerequisite:**1 from (MATH 226 or MATH 227)**Note:**Register for one lecture and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39975R | 001 | Lecture | 10:00-10:50am | MWF | 1 of 49 | Jason Fulman | THH116 | ||

39976R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 1 of 25 | KAP159 | |||

39977R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 24 | KAP159 | |||

39625R | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 49 | Remigijus Mikulevicius | THH116 | ||

39626R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 25 | KAP159 | |||

39627R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 24 | KAP159 | |||

39628R | 001 | Lecture | 1:00-1:50pm | MWF | 2 of 49 | Guillermo Reyes Souto | THH114 | ||

39629R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 1 of 25 | KAP166 | |||

39630R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 1 of 24 | KAP166 |

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 and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39631R | 001 | Lecture | 10:00-10:50am | MWF | 4 of 49 | Stanislav Minsker | THH212 | ||

39632R | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 2 of 25 | KAP166 | |||

39633R | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 2 of 24 | KAP166 | |||

39635R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 49 | Qi Feng | THH116 | ||

39636R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 25 | KAP166 | |||

39637R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 0 of 24 | KAP166 | |||

39978R | 001 | Lecture | 12:00-12:50pm | MWF | 1 of 49 | Qi Feng | THH114 | ||

39979R | 001 | Discussion | 10:00-10:50am | Tue, Thu | 0 of 25 | KAP165 | |||

39980R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 1 of 24 | KAP165 |

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**Note:**Register for lecture and discussion

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39639R | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 30 | Robert Guralnick | KAP147 | ||

39640R | 001 | Discussion | 2:00-3:50pm | Thursday | 0 of 30 | KAP167 |

The real number system, metric spaces, limits, continuity, derivatives and integrals, infinite series. Prerequisites: MATH 226 or MATH 227.

**Recommended preparation:**One 400-level Mathematics course, excluding MATH 450.**Prerequisite:**1 from (MATH 226 or MATH 227)**Note:**Register for one lecture and discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39645R | 001 | Lecture | 9:00-9:50am | MWF | 2 of 30 | Alexander Neshitov | KAP145 | ||

39646R | 001 | Discussion | 2:00-3:50pm | Tuesday | 2 of 30 | SGM226 | |||

39649R | 001 | Lecture | 10:00-10:50am | MWF | 2 of 30 | Yuan Gao | KAP158 | ||

39650R | 001 | Discussion | 2:00-3:50pm | Thursday | 2 of 30 | KAP147 |

Introduction to the theory of numbers, including prime factorization, congruences, primitive roots, N-th power residues, number theoretic functions, and certain diophantine equations. Prerequisites: MATH 126 or MATH 127.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39648R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 40 | Sheldon Kamienny | KAP158 |

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. Prerequisite: MATH 225 or MATH 226 or MATH 227.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39651R | 001 | Lecture | 12:00-12:50pm | MWF | 1 of 40 | Greta Panova | KAP146 |

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: (MATH-225 and MATH-226 or MATH-227) or MATH-245.

**Prerequisite:**1 from (MATH 245 or MATH 225) and 1 from (MATH 226 or MATH 227 or MATH 245)**Note:**Register for one lecture and one discussion listed immediately following that lecture

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39661R | 001 | Lecture | 12:00-12:50pm | MWF | 2 of 40 | Susan Friedlander | KAP414 | ||

39662R | 001 | Discussion | 8:00-8:50am | Tue, Thu | 0 of 20 | GFS113 | |||

39663R | 001 | Discussion | 9:00-9:50am | Tue, Thu | 2 of 20 | GFS113 | |||

39665R | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 40 | Robert Sacker | KAP146 | ||

39666R | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 0 of 20 | GFS113 | |||

39667R | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 0 of 20 | GFS113 |

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.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39669R | 001 | Lecture | 2:00-2:50pm | MWF | 1 of 30 | Guillermo Reyes Souto | KAP158 |

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 |
---|---|---|---|---|---|---|---|---|---|

39670R | 001 | Lecture | 9:00-9:50am | MWF | 1 of 25 | Nathaniel Emerson | KAP113 |

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 |
---|---|---|---|---|---|---|---|---|---|

39675R | 001 | Lecture | 10:00-10:50am | MWF | 1 of 30 | Gary Rosen | KAP147 | ||

39676R | 001 | Discussion | 11:00-11:50am | Tue, Thu | 1 of 30 | VHE206 |

Polynomial rings, vector spaces, linear transformations, canonical forms, inner product spaces.

**Recommended preparation:**MATH 410.**Prerequisite:**MATH 225

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39680R | 001 | Lecture | 11:00-11:50am | MWF | 2 of 25 | Robert Guralnick | KAP159 |

Limits and infinite series; line integrals; conformal mapping; single-valued functions of a complex variable; applications. Primarily for advanced students in engineering. Prerequisites: MATH 226 or MATH 227.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39682R | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 20 | Jacob Rooney | KAP138 |

Individual research and readings. Not available for graduate credit.

**Restriction:**Registration open to the following class level(s): Junior, Senior

Section | Session | Units | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|---|

39687D | 001 | 2.0-8.0 | Lecture | TBA | TBA | 0 of 12 | Eric Friedlander | OFFICE |

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 |
---|---|---|---|---|---|---|---|---|---|---|

Fields and Galois Theory | ||||||||||

39688R | 001 | 4.0 | Lecture | 12:00-12:50pm | MWF | 0 of 20 | Fedor Malikov | KAP134 |

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 | 001 | Lecture | TBA | TBA | 0 of 25 | Jay Bartroff | OFFICE |

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 | 001 | Lecture | 12:00-12:50pm | MWF | 5 of 35 | Chunming Wang | KAP147 |

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 | 001 | Lecture | 10:00-10:50am | MWF | 2 of 30 | Haitian Yue | KAP140 |

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 | 2 of 30 | Jason Fulman | KAP140 |

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 | 001 | Lecture | 1:00-1:50pm | MWF | 0 of 20 | Richard Arratia | KAP134 |

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 | 0 of 20 | Susan Montgomery | KAP141 |

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 | 0 of 25 | Amanda Goodrich | ONLINE | ||

41082D | 046 | Lecture | 1:00-2:55pm | Tuesday | 8 of 60 | Meredith Franklin | SSB115AB | ||

41059D | 046 | Lab | 3:00-4:50pm | Tuesday | 1 of 35 | Meredith Franklin | SSB116 | ||

41083D | 046 | Lab | 11:00-12:55pm | Tuesday | 7 of 35 | Meredith Franklin | SSB115AB | ||

41085D | 407 | Lab | TBA | TBA | 0 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 | 11:05-12:55pm | Friday | 3 of 40 | Wendy MacK | SSB117 | ||

41086D | 407 | Lecture | TBA | TBA | 0 of 25 | Sue Ingles | ONLINE | ||

41065D | 046 | Lab | 1:05-3:00pm | Friday | 3 of 35 | Wendy MacK | SSB105 | ||

41087D | 407 | Lab | TBA | TBA | 0 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 and one discussion

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39726R | 001 | Lecture | 1:00-1:50pm | MWF | 14 of 45 | Ricardo Mancera | GFS118 | ||

39727R | 001 | Discussion | TBA | TBA | 13 of 23 | OFFICE | |||

39728R | 001 | Discussion | TBA | TBA | 1 of 22 | OFFICE |

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 | 1 of 20 | Nicolai Haydn | KAP164 |

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 | 001 | Lecture | 9:00-9:50am | MWF | 0 of 30 | Christian Zillinger | KAP148 |

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 | 001 | Lecture | 2:00-3:15pm | Wed, Fri | 17 of 40 | Jianfeng Zhang | GFS207 |

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 |
---|---|---|---|---|---|---|---|---|---|

39745R | 001 | Lecture | 10:00-10:50am | MWF | 1 of 20 | Sami Assaf | SOSB37 |

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 | 001 | Lecture | 11:00-11:50am | MWF | 1 of 20 | Francis Bonahon | KAP137 |

Elementary theory of manifolds, Lie groups, homogeneous spaces, fiber bundles and connections. Riemannian manifolds, curvature and conjugate points, second fundamental form, other topics.

**Prerequisite:**MATH 535A

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39757R | 001 | Lecture | 11:00-11:50am | MWF | 0 of 20 | Sheel Ganatra | KAP134 |

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 | 001 | Lecture | 11:00-11:50am | MWF | 7 of 50 | Steven Heilman | THH114 |

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. Includes laboratory. Prerequisite: MATH 225, 226 or 226H, and 208x or equivalent.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39766R | 001 | Lecture-Lab | 9:00-9:50am | MWF | 0 of 25 | Jay Bartroff | KAP134 |

Transfer function models; stationary, nonstationary processes; moving average, autoregressive models; spectral analysis; estimation of mean, autocorrelation, spectrum; seasonal time series. Includes laboratory. Prerequisite: MATH 225, 226 or 226H, and 208x or equivalent.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39769R | 001 | Lecture-Lab | 9:00-9:50am | MWF | 0 of 30 | Stanislav Minsker | KAP163 |

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 | 001 | Lecture | 12:00-12:50pm | MWF | 0 of 20 | Robert Sacker | KAP138 |

Practical experience in computational molecular biology applications. Mathematical and statistical software packages relevant for genomic analysis. Retrieval and analysis of genomic data from databases.

**Recommended preparation:**higher level programming language.**Crosslist:**This course is offered by the BISC department but may qualify for major credit in MATH. To register, enroll in BISC 577a.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

13577D | 001 | Lecture | 2:00-3:50pm | Tuesday | 0 of 19 | Fengzhu Sun | RRI301 |

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 | 001 | Lecture | 11:00-12:20pm | Tue, Thu | 0 of 15 | Mark Chaisson, Andrew Smith | KAP138 |

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 |
---|---|---|---|---|---|---|---|---|---|---|

39834D | 001 | 1.0-12.0 | Lecture | TBA | TBA | 0 of 20 | Eric Friedlander | OFFICE | ||

39835D | 001 | 1.0 | Lecture | TBA | TBA | 0 of 35 | Jin Ma | OFFICE |

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 | 8:30-9:50am | Mon, Wed | 2 of 20 | Sergey Lototsky | KAP138 |

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 | 001 | Lecture | TBA | TBA | 0 of 20 | Aravind Asok | OFFICE |

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39945R | 001 | Lecture | TBA | TBA | 0 of 20 | Aaron Mazel-Gee | OFFICE |

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39948R | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39949R | 001 | Lecture | TBA | TBA | 0 of 20 | OFFICE |

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39950R | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39952R | 001 | Lecture | TBA | TBA | 0 of 15 | OFFICE |

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39951R | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |

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 | 0 of 20 | Eric Friedlander | OFFICE |

Credit on acceptance of dissertation.

Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39961D | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |