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## Mathematics

## Mathematics **(MATH)**

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

Intensive review of arithmetic and algebra. Graded CR/NC. (Not available for degree credit.)

**Note:**Register for lecture and discussion

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

39400D | 001 | Lecture | 9:00-9:50am | MWF | 11 of 25 | Michael Abram | KAP167 | ||

39401D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 11 of 25 | VKC109 |

Equations and inequalities; functions; graphs; polynomial and rational functions; exponential, logarithmic, and trigonometric function; analytic geometry.

**Prerequisite:**MATH 040**Note:**Register for lecture and one discussion

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

39402D | 001 | Lecture | 9:00-9:50am | MWF | 46 of 49 | Neelesh Tiruviluamala | MHP105 | ||

39403D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 14 of 15 | GFS222 | |||

39404D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 15 of 18 | GFS112 | |||

39405D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 17 of 17 | GFS221 |

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.**Note:**Register for one lecture and one discussion listed immediately following that lecture

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

39981D | 001 | Lecture | 9:00-9:50am | MWF | 45 of 49 | Richard Arratia | VKC100 | ||

39982D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 15 of 16 | GFS113 | |||

39983D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 16 of 16 | GFS113 | |||

39984D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 14 of 17 | GFS113 | |||

39985D | 001 | Lecture | 1:00-1:50pm | MWF | 60 of 72 | Jason Fulman | ZHS352 | ||

39986D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 24 | KAP138 | |||

39987D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 14 of 24 | KAP138 | |||

39988D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | KAP138 |

Finite mathematics with application to the social sciences; elementary set theory and logic; counting techniques; probability; statistics; matrices and systems of linear equations. Selected topics.

**Note:**Register for lecture and one discussion

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

39406D | 001 | Lecture | 9:00-9:50am | MWF | 24 of 60 | Anthony Suen | THH210 | ||

39407D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 5 of 20 | KAP134 | |||

39408D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 5 of 20 | KAP134 | |||

39409D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 14 of 20 | KAP134 |

Functions, graphs, polynomial and rational functions, exponential and logarithmic functions, matrices, systems of linear equations.

**Prerequisite:**MATH 040**Note:**Register for lecture and one discussion

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

39410D | 001 | Lecture | 12:00-12:50pm | MWF | 57 of 63 | Guangbin Zhuang | THH210 | ||

39411D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 21 | KAP147 | |||

39412D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 17 of 21 | KAP167 | |||

39413D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 19 of 21 | KAP164 |

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.

**Prerequisite:**MATH 117**Note:**Register for one lecture and one discussion listed immediately following that lecture

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

39414D | 001 | Lecture | 10:00-10:50am | MWF | 45 of 49 | Yuncheng Lin | GFS118 | ||

39415D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 13 of 14 | GFS217 | |||

39416D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 14 of 17 | GFS217 | |||

39417D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 18 of 19 | GFS217 | |||

39418D | 001 | Lecture | 11:00-11:50am | MWF | 46 of 49 | Yuncheng Lin | VKC152 | ||

39419D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 15 of 17 | VHE206 | |||

39420D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 15 of 16 | VHE206 | |||

39421D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 16 of 17 | VHE206 | |||

39422D | 001 | Lecture | 12:00-12:50pm | MWF | 46 of 49 | Ricardo Mancera | WPHB28 | ||

39423D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 16 of 16 | KAP137 | |||

39424D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 15 of 17 | KAP137 | |||

39425D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 15 of 17 | KAP137 | |||

39426D | 001 | Lecture | 1:00-1:50pm | MWF | 46 of 51 | Weiwei Hu | MHP105 | ||

39427D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 13 of 17 | KAP134 | |||

39428D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 16 of 16 | KAP134 | |||

39429D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 17 of 18 | KAP134 | |||

39430D | 001 | Lecture | 2:00-3:20pm | Mon, Wed | 50 of 54 | Ricardo Mancera | ZHS163 | ||

39431D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 18 of 20 | KAP134 | |||

39432D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 15 of 17 | KAP134 | |||

39433D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 17 of 17 | KAP134 |

Limits; continuity, derivatives and applications; antiderivatives; the fundamental theorem of calculus; exponential and logarithmic functions.

**Prerequisite:**MATH 108**Note:**Register for one lecture and one discussion listed immediately following that lecture

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

39434D | 001 | Lecture | 9:00-9:50am | MWF | 38 of 49 | Andrea Appel | ZHS163 | ||

39435D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 15 of 18 | KAP167 | |||

39436D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 10 of 17 | KAP167 | |||

39437D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 13 of 16 | KAP167 | |||

39438D | 001 | Lecture | 10:00-10:50am | MWF | 41 of 49 | Gokhan Yildirim | THH114 | ||

39439D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 15 of 17 | KAP141 | |||

39440D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 12 of 15 | KAP141 | |||

39441D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 14 of 17 | KAP141 | |||

39442D | 001 | Lecture | 11:00-11:50am | MWF | 37 of 49 | Andrea Appel | WPHB28 | ||

39443D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 13 of 18 | KAP141 | |||

39444D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 14 of 16 | KAP141 | |||

39445D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 10 of 16 | KAP141 | |||

39446D | 001 | Lecture | 12:00-12:50pm | MWF | 39 of 49 | James Zhao | ZHS163 | ||

39447D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 13 of 18 | GFS111 | |||

39448D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 13 of 15 | GFS111 | |||

39449D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 13 of 16 | GFS111 | |||

39450D | 001 | Lecture | 1:00-1:50pm | MWF | 42 of 49 | James Zhao | GFS118 | ||

39451D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 16 of 17 | KAP165 | |||

39452D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 13 of 15 | KAP165 | |||

39453D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 13 of 17 | KAP165 | |||

39454D | 001 | Lecture | 2:00-2:50pm | MWF | 35 of 49 | Gokhan Yildirim | THH210 | ||

39455D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 16 of 17 | KAP113 | |||

39456D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 13 of 17 | KAP113 | |||

39457D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 6 of 17 | KAP113 |

A continuation of 125: trigonometric functions; applications of integration; techniques of integration; indeterminate forms; infinite series; Taylor series; polar coordinates.

**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 |
---|---|---|---|---|---|---|---|---|---|

39460D | 001 | Lecture | 10:00-10:50am | MWF | 38 of 49 | David Crombecque | THH116 | ||

39461D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 11 of 16 | GFS111 | |||

39462D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 11 of 17 | GFS111 | |||

39463D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 16 of 17 | GFS111 | |||

39464D | 001 | Lecture | 10:00-10:50am | MWF | 47 of 49 | Takahiro Sakai | MHP105 | ||

39465D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 15 of 17 | GFS202 | |||

39466D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 15 of 15 | GFS202 | |||

39467D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 16 of 17 | GFS202 | |||

39468D | 001 | Lecture | 11:00-11:50am | MWF | 46 of 49 | David Crombecque | MHP105 | ||

39469D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 16 of 16 | GFS111 | |||

39470D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 13 of 16 | GFS111 | |||

39471D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 17 of 18 | GFS111 | |||

39472D | 001 | Lecture | 11:00-11:50am | MWF | 49 of 50 | Neelesh Tiruviluamala | VKC100 | ||

39473D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 16 of 17 | GFS112 | |||

39474D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 15 of 17 | GFS112 | |||

39475D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 17 of 17 | GFS112 | |||

39476D | 001 | Lecture | 12:00-12:50pm | MWF | 40 of 49 | Neelesh Tiruviluamala | VKC102 | ||

39477D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 12 of 16 | GFS114 | |||

39478D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 12 of 16 | GFS114 | |||

39479D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 16 of 17 | GFS114 | |||

39480D | 001 | Lecture | 1:00-1:50pm | MWF | 44 of 49 | David Crombecque | THH116 | ||

39481D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 17 of 17 | GFS202 | |||

39482D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 10 of 16 | GFS202 | |||

39483D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 17 of 17 | GFS202 |

Descriptive statistics, probability concepts, discrete and continuous random variables, mathematical expectation and variance, probability sampling, Central Limit Theorem, estimation and hypothesis testing, correlation and regression. Not available for major credit to mathematics majors. Prerequisite: 118x or 125.

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

39505D | 001 | Lecture | 11:00-11:50am | MWF | 57 of 60 | Leonid Piterbarg | SLH100 |

Basic probability, discrete and continuous distributions, expectation and variance, independence. Sampling, estimation, confidence intervals, hypothesis testing.

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

39514D | 001 | Lecture | 10:00-10:50am | MWF | 18 of 60 | Tatiana Tatarinova | ZHS352 | ||

39515D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 1 of 20 | KAP113 | |||

39516D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 6 of 20 | KAP113 | |||

39517D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 11 of 21 | KAP113 |

Matrices, systems of linear equations, vector spaces, linear transformations, eigenvalues, systems of linear differential equations.

**Prerequisite:**MATH 126**Note:**Register for one lecture and one discussion listed immediately following that lecture

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

39526D | 001 | Lecture | 10:00-10:50am | MWF | 45 of 49 | Ricardo Mancera | VKC100 | ||

39527D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 18 of 18 | GFS114 | |||

39528D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 13 of 16 | GFS114 | |||

39529D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 14 of 17 | GFS114 | |||

39530D | 001 | Lecture | 11:00-11:50am | MWF | 29 of 49 | Robert Guralnick | GFS118 | ||

39531D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 6 of 16 | GFS201 | |||

39532D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 13 of 15 | GFS201 | |||

39533D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 10 of 18 | GFS201 | |||

39534D | 001 | Lecture | 1:00-1:50pm | MWF | 49 of 49 | Ricardo Mancera | WPHB28 | ||

39535D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 18 of 19 | VHE214 | |||

39536D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 14 of 15 | VHE214 | |||

39537D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 17 of 17 | VHE214 | |||

39550D | 001 | Lecture | 12:00-12:50pm | MWF | 43 of 49 | Sheldon Kamienny | GFS116 | ||

39551D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 15 of 17 | GFS114 | |||

39552D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 16 of 16 | GFS114 | |||

39553D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 12 of 16 | GFS114 |

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

**Prerequisite:**MATH 126**Note:**Register for one lecture and one discussion listed immediately following that lecture

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

39575D | 001 | Lecture | 9:00-9:50am | MWF | 26 of 49 | David Rose | THH114 | ||

39576D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 6 of 16 | GFS216 | |||

39577D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 8 of 16 | GFS216 | |||

39578D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 12 of 17 | GFS216 | |||

39579D | 001 | Lecture | 10:00-10:50am | MWF | 29 of 49 | Cymra Haskell | VKC152 | ||

39580D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 9 of 16 | GFS202 | |||

39581D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 4 of 16 | GFS202 | |||

39582D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 16 of 17 | GFS202 | |||

39583D | 001 | Lecture | 11:00-11:50am | MWF | 48 of 49 | Nathaniel Emerson | THH114 | ||

39584D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 17 of 17 | KAP113 | |||

39585D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 16 of 16 | KAP113 | |||

39586D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 15 of 16 | KAP113 | |||

39587D | 001 | Lecture | 12:00-12:50pm | MWF | 46 of 49 | Nathaniel Emerson | THH116 | ||

39588D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 13 of 17 | GFS216 | |||

39589D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 15 of 15 | GFS216 | |||

39590D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 18 of 18 | GFS216 | |||

39591D | 001 | Lecture | 12:00-12:50pm | MWF | 17 of 49 | Cymra Haskell | GFS118 | ||

39592D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 12 of 16 | GFS217 | |||

39593D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 3 of 16 | GFS217 | |||

39594D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 2 of 17 | GFS217 | |||

39595D | 001 | Lecture | 1:00-1:50pm | MWF | 48 of 50 | Satwindar Sadhal | VKC102 | ||

39596D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 16 of 17 | GFS217 | |||

39597D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 15 of 16 | GFS217 | |||

39598D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 17 of 17 | GFS217 |

A continuation of MATH 127; vectors and vector spaces functions of several variables, partial differential equations, optimization theory, multiple integration; Green's Stokes', divergence theorems. Duplicates credit in MATH 226.

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

39540D | 001 | Lecture | 11:00-11:50am | MWF | 12 of 30 | Peter Baxendale | GFS223 | PDF (11563 KB) | |

39541D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 5 of 10 | GFS201 | |||

39542D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 0 of 10 | OFFICE | |||

39543D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 7 of 10 | GFS201 |

First-order differential equations; second-order linear differential equations; determinants and matrices; systems of linear differential equations; Laplace transforms.

**Prerequisite:**MATH 226**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 | 38 of 49 | Guangbin Zhuang | THH116 | ||

39602D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 16 of 16 | GFS112 | |||

39603D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 6 of 16 | GFS112 | |||

39604D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 16 of 17 | GFS112 | |||

39605D | 001 | Lecture | 10:00-10:50am | MWF | 36 of 49 | Chunming Wang | VKC150 | ||

39606D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 12 of 16 | KAP159 | |||

39607D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 12 of 16 | KAP159 | |||

39608D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 12 of 17 | KAP159 | |||

39609D | 001 | Lecture | 11:00-11:50am | MWF | 56 of 57 | Takahiro Sakai | THH116 | ||

39610D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 28 of 28 | KAP159 | |||

39611D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 10 of 16 | KAP159 | |||

39612D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 18 of 18 | KAP159 | |||

39613D | 001 | Lecture | 12:00-12:50pm | MWF | 54 of 55 | Takahiro Sakai | ZHS352 | ||

39614D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 14 of 14 | KAP165 | |||

39615D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 17 of 17 | KAP165 | |||

39616D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 24 | KAP165 | |||

39560D | 001 | Lecture | 2:00-2:50pm | MWF | 23 of 49 | Chunming Wang | GFS101 | ||

39561D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 9 of 16 | GFS113 | |||

39562D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 3 of 16 | GFS113 | |||

39563D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 11 of 17 | GFS113 |

Differential calculus of multivariable functions, optimization, elementary linear algebra and matrix theory, principal component analysis, elementary differential equations, systems, qualitative theory, numerical methods, scientific computation.

**Recommended preparation:**Math-126 or equivalent or AP credit for Calculus BC.**Prerequisite:**MATH 125**Note:**Register for lecture and one discussion

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

39617D | 001 | Lecture | 1:00-1:50pm | MWF | 13 of 30 | Gokhan Yildirim | KAP147 | ||

39618D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 9 of 15 | THHB9 | |||

39619D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 4 of 15 | THHB9 |

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

39620D | 001 | Lecture | 2:00-3:20pm | Mon, Wed | 11 of 20 | Larry Goldstein | KAP134 | ||

39621D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 11 of 20 | GFS216 |

Induction, Euclidean algorithm, factorization, congruence classes, Rings, RSA algorithm, Chinese remainder theorem, codes, polynomials, fundamental theorem of algebra, polynomial multiplication, Fourier transform, and other topics.

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

39622D | 001 | Lecture | 10:00-10:50am | MWF | 12 of 20 | Daniel Murfet | GFS223 |

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 126Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39623D | 001 | Lecture | 3:30-6:30pm | Monday | 13 of 15 | James Zhao | KAP164 |

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

**Prerequisite:**MATH 226**Note:**Register for lecture and one discussion

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

39625D | 001 | Lecture | 12:00-12:50pm | MWF | 37 of 60 | Richard Arratia | MHP105 | ||

39626D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 15 of 30 | KAP148 | |||

39627D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 25 | KAP164 |

Principles for testing hypotheses and estimation, small sample distributions, correlation and regression, nonparametric methods, elements of statistical decision theory. Prerequisite: 407.

**Prerequisite:**MATH 407**Note:**Register for lecture and one discussion

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

39635D | 001 | Lecture | 12:00-12:50pm | MWF | 69 of 85 | Gary Rosen | SLH102 | ||

39636D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 27 of 31 | KAP140 | |||

39637D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 28 of 32 | KAP140 | |||

39638D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 14 of 25 | KAP140 |

Sets; relations; groups; homomorphisms; symmetric groups; Abelian groups; Sylow's theorems; introduction to rings and fields. Not open to students with credit in 470. Prerequisite: 225.

**Prerequisite:**MATH 225**Note:**Register for lecture and discussion

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

39639D | 001 | Lecture | 1:00-1:50pm | MWF | 5 of 25 | Susan Montgomery | KAP164 | ||

39640D | 001 | Discussion | 2:00-3:50pm | Thursday | 5 of 25 | VHE214 |

The real number system, metric spaces, limits, continuity, derivatives and integrals, infinte series.

**Prerequisite:**MATH 226**Note:**Register for lecture and discussion

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

39645D | 001 | Lecture | 10:00-10:50am | MWF | 20 of 27 | Charles Lanski | KAP147 | Word (20598 KB) | |

39646D | 001 | Discussion | 2:00-3:50pm | Tuesday | 20 of 27 | VHE214 |

Implicit function theorems, Jacobians, transformations, multiple integrals, line integrals.

**Prerequisite:**MATH 425A

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

39647D | 001 | Lecture | 10:00-10:50am | MWF | 8 of 15 | Robert Sacker | KAP159 | PDF (72244 KB) |

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

**Prerequisite:**MATH 126

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

39648D | 001 | Lecture | 11:00-11:50am | MWF | 17 of 30 | Sheldon Kamienny | KAP147 |

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: 225 or 226 or 226H or consent of instructor.

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

39651D | 001 | Lecture | 2:00-3:15pm | Tue, Thu | 20 of 29 | Sol Golomb | KAP148 |

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: 245.

**Prerequisite:**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 |
---|---|---|---|---|---|---|---|---|---|

39661D | 001 | Lecture | 1:00-1:50pm | MWF | 23 of 60 | Brian Ryals | GFS101 | ||

39662D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 6 of 20 | GFS113 | |||

39663D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 9 of 20 | GFS113 | |||

39664D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 8 of 20 | GFS113 | |||

39665D | 001 | Lecture | 12:00-12:50pm | MWF | 62 of 63 | Mohammed Ziane | THH212 | ||

39666D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 19 of 19 | GFS218 | |||

39667D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 22 | GFS218 | |||

39668D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 21 of 23 | GFS218 |

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 | 001 | Lecture | 9:00-9:50am | MWF | 12 of 30 | Nathaniel Emerson | KAP147 |

Linear systems, phase plane analysis, existence and uniqueness, stability of linear and almost linear systems, Lyapunov's method, nonlinear oscillations, flows, invariant surfaces, and bifurcation.

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

39674D | 001 | Lecture | 1:00-1:50pm | MWF | 5 of 20 | Cymra Haskell | KAP165 |

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 | 1 of 10 | Francis Bonahon | 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 |
---|---|---|---|---|---|---|---|---|---|---|

The Foundations of Mathematics and the Acquisition of Mathematical Knowledge | ||||||||||

39688D | 001 | 4.0 | Lecture | 4:30-5:50pm | Mon, Wed | 11 of 25 | David Crombecque | THH106 |

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 | 13 of 35 | Aaron Lauda | 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 | 10:00-10:50am | MWF | 21 of 32 | Weiwei Hu | KAP145 |

Computational linear algebra; solution of general nonlinear systems of equations; approximation theory using functional analysis; numerical solution of ordinary and partial differential equations.

**Prerequisite:**MATH 502A

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

39698R | 001 | Lecture | 10:00-10:50am | MWF | 9 of 20 | Wlodek Proskurowski | KAP165 |

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 | 23 of 34 | Quentin Berger | KAP148 | PDF (26839 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 | 001 | Lecture | 1:00-1:50pm | MWF | 13 of 20 | Jianfeng Zhang | KAP134 |

Theory of random differential equations and stochastic stability; optimum linear and nonlinear filtering, with discussion of asymptotic behavior of filter.

**Prerequisite:**MATH 507A

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

39718R | 001 | Lecture | 2:00-2:50pm | MWF | 5 of 20 | Remigijus Mikulevicius | KAP138 |

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 | 1:00-2:15pm | MWF | 12 of 20 | Eric Friedlander | KAP414 |

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

41057D | 046 | Lecture | 1:00-2:50pm | Tuesday | 66 of 72 | William Gauderman | SSB115AB | ||

41199D | 407 | Lecture | TBA | TBA | 13 of 30 | Sue Ingles, William Gauderman | ONLINE | ||

41058D | 046 | Lab | 11:00-12:50pm | Tuesday | 23 of 40 | William Gauderman | SSB117 | ||

41059D | 046 | Lab | 3:00-4:50pm | Tuesday | 43 of 55 | William Gauderman | SSB115AB | ||

41241D | 407 | Lab | TBA | TBA | 13 of 30 | Sue Ingles, William Gauderman | ONLINE |

Exploratory data analysis, detection of outliers, fitting data with linear and nonlinear regression models, computer packages including S-PLUS and SPSS.

**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 511b.

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

41063D | 046 | Lecture | 11:00-12:50pm | Tuesday | 51 of 65 | Sue Ingles | SSB115AB | ||

41064D | 046 | Lab | 8:55-10:55am | Tuesday | 45 of 53 | Sue Ingles | SSB115AB | ||

41065D | 046 | Lab | 1:30-3:20pm | Tuesday | 6 of 30 | Sue Ingles | SSB115AB |

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 | 12 of 20 | Fedor Malikov | KAP141 |

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 | 13 of 24 | Remigijus Mikulevicius | KAP141 |

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 | 30 of 40 | Jin Ma | KAP140 |

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 | 10:00-11:30am | Mon, Wed | 7 of 20 | Aravind Asok | KAP245 |

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 | 52 of 59 | Jianfeng Zhang | SOSB46 |

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 | 17 of 30 | Tuan Nguyen | KAP148 | PDF (59104 KB) |

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 | 8 of 20 | Robert Sacker | KAP245 | PDF (117260 KB) |

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 | 8 of 20 | Peter Ralph, Andrew Smith | 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 | 8 of 20 | Andrew Smith,Xianghong Zhou | SOSB41 |

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

39834D | 001 | Lecture | TBA | TBA | 12 of 20 | Francis Bonahon | OFFICE |

Credit on acceptance of thesis.

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

39838R | 001 | Lecture | TBA | TBA | 2 of 10 | OFFICE |

Course content will be selected each semester to reflect current trends and developments in the field of mathematics.

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

Algebraic Groups | ||||||||||

39942R | 001 | 3.0 | Lecture | 12:00-1:15pm | MWF | 12 of 20 | Robert Guralnick | KAP167 |

Necessary and sufficient conditions for existence of extrema with equality constraints; gradient methods; Ritz methods; eigenvalue problems; optimum control problems; inequality constraints; mathematical programming.

**Prerequisite:**MATH 502B

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

39944R | 001 | Lecture | TBA | TBA | 6 of 15 | Gary Rosen | OFFICE |

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

39945R | 001 | Lecture | TBA | TBA | 7 of 20 | Sergey Lototsky | OFFICE |

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

39949R | 001 | Lecture | TBA | TBA | 15 of 20 | Eric Friedlander | OFFICE |

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

39950R | 001 | Lecture | TBA | TBA | 4 of 10 | Igor Kukavica, Mohammed Ziane, Weiwei Hu | OFFICE |

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

39951R | 001 | Lecture | TBA | TBA | 6 of 10 | Francis Bonahon | 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 | 3 of 20 | Francis Bonahon | OFFICE |

Credit on acceptance of dissertation.

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

39961D | 001 | Lecture | TBA | TBA | 4 of 10 | OFFICE |