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## Mathematics

## Mathematics **(MATH)**

- http://dornsife.usc.edu/mathematics/
- D class assignments for undergraduates available in KAP108; 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 and discussion Course not available for degree credit Register for lecture and discussion Register for lecture and discussion

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

39400D | 001 | Lecture | 9:00-9:50am | MWF | 32 of 36 | Enes Ozel | KAP147 | ||

39401D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 32 of 35 | KAP147 |

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 one lecture and one discussion listed immediately following that lecture

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

39403D | 001 | Lecture | 9:00-9:50am | MWF | 41 of 49 | Alexander Neshitov | KAP144 | ||

39404D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 20 of 25 | KAP113 | |||

39405D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 25 | KAP113 | |||

39406D | 001 | Lecture | 11:00-11:50am | MWF | 38 of 49 | Alexander Neshitov | KAP146 | ||

39407D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 13 of 25 | KAP113 | |||

39408D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | KAP113 |

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

39410D | 001 | Lecture | 10:00-10:50am | MWF | 43 of 49 | Ricardo Mancera | ZHS252 | ||

39411D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 18 of 26 | VKC201 | |||

39412D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | VKC201 | |||

39413D | 001 | Lecture | 11:00-11:50am | MWF | 31 of 49 | Ricardo Mancera | ZHS252 | ||

39414D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 21 of 25 | GFS113 | |||

39415D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 10 of 25 | GFS113 | |||

39416D | 001 | Lecture | 1:00-1:50pm | MWF | 47 of 45 | Cindy Blois | VKC100 | ||

39417D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 25 | KAP113 | |||

39418D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 25 of 25 | KAP113 |

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 one lecture and one discussion listed immediately following that lecture

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

39419D | 001 | Lecture | 10:00-10:50am | MWF | 44 of 49 | Matthew Hogancamp | THH114 | ||

39420D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 18 of 25 | KAP159 | |||

39421D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 26 of 26 | KAP159 | |||

39422D | 001 | Lecture | 11:00-11:50am | MWF | 47 of 49 | Matthew Hogancamp | THH116 | ||

39423D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 22 of 25 | KAP159 | |||

39424D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | KAP159 |

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

39426D | 001 | Lecture | 9:00-9:50am | MWF | 46 of 49 | Paul Tokorcheck | ZHS163 | ||

39427D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 25 | KAP141 | |||

39428D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 25 | KAP141 | |||

39429D | 001 | Lecture | 9:00-9:50am | MWF | Canceled | ||||

39430D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | Canceled | ||||

39431D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | Canceled | ||||

39432D | 001 | Lecture | 10:00-10:50am | MWF | 49 of 49 | Cindy Blois | LVL17 | ||

39433D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 25 of 25 | KAP165 | |||

39434D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 24 of 25 | KAP165 | |||

39435D | 001 | Lecture | 10:00-10:50am | MWF | 49 of 49 | Jianfeng Zhang | SOSB46 | ||

39436D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 24 of 25 | KAP141 | |||

39437D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 25 of 25 | KAP141 | |||

39438D | 001 | Lecture | 11:00-11:50am | MWF | 49 of 49 | Cymra Haskell | VKC102 | ||

39439D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 25 | VKC211 | |||

39440D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | VKC211 | |||

39441D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 45 | Cindy Blois | SOSB4 | ||

39442D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 25 | GFS213 | |||

39443D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 25 | GFS213 | |||

39444D | 001 | Lecture | 12:00-12:50pm | MWF | 49 of 45 | Frank Wolcott | THH212 | PDF (100511 KB) | |

39445D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 25 of 25 | GFS213 | |||

39446D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 24 of 25 | GFS213 | |||

39447D | 001 | Lecture | 1:00-1:50pm | MWF | 47 of 45 | Cymra Haskell | ZHS163 | ||

39448D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | VKC158 | |||

39449D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 25 | VKC158 | |||

39450D | 001 | Lecture | 1:00-1:50pm | MWF | 49 of 49 | Frank Wolcott | SOSB44 | PDF (100579 KB) | |

39451D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 26 of 26 | KAP113 | |||

39452D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 23 of 25 | KAP113 | |||

39453D | 001 | Lecture | 2:00-3:15pm | Mon, Wed | 52 of 52 | Jesse Levitt | GFS101 | ||

39454D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 25 of 25 | LVL13 | |||

39455D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 27 of 27 | LVL13 |

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

39456D | 001 | Lecture | 9:00-9:50am | MWF | 46 of 49 | Frank Wolcott | SOSB44 | PDF (102368 KB) | |

39457D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 25 of 26 | KAP166 | |||

39458D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 25 | KAP166 | |||

39459D | 001 | Lecture | 9:00-9:50am | MWF | 47 of 49 | Dominic Searles | VKC100 | ||

39460D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | KAP165 | |||

39461D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 26 | KAP165 | |||

39462D | 001 | Lecture | 10:00-10:50am | MWF | 49 of 49 | David Crombecque | WPHB28 | ||

39463D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | GFS108 | |||

39464D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | GFS108 | |||

39465D | 001 | Lecture | 10:00-10:50am | MWF | 48 of 49 | Ting-Kam Wong | LVL16 | PDF (114176 KB) | |

39466D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 24 of 25 | GFS213 | |||

39467D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | GFS213 | |||

39468D | 001 | Lecture | 11:00-11:50am | MWF | 47 of 49 | Neelesh Tiruviluamala | SOSB44 | ||

39469D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | KAP167 | |||

39470D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 26 | KAP167 | |||

39471D | 001 | Lecture | 11:00-11:50am | MWF | 43 of 49 | Aravind Asok | LVL17 | PDF (17351 KB) | |

39472D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 21 of 25 | GFS108 | |||

39473D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 25 | GFS108 | |||

39477D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 49 | Jeremy Toulisse | THH114 | ||

39478D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 25 | GFS109 | |||

39479D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 25 | GFS109 | |||

39480D | 001 | Lecture | 12:00-12:50pm | MWF | 48 of 49 | Dominic Searles | THH116 | ||

39481D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 25 of 26 | GFS109 | |||

39482D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 25 | GFS109 | |||

39483D | 001 | Lecture | 1:00-1:50pm | MWF | 35 of 49 | David Crombecque | KDC235 | ||

39484D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 15 of 25 | GFS220 | |||

39485D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 20 of 25 | GFS220 | |||

39486D | 001 | Lecture | 1:00-1:50pm | MWF | 46 of 48 | Neelesh Tiruviluamala | GFS101 | ||

39487D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 25 of 25 | GFS220 | |||

39488D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 21 of 25 | GFS220 | |||

39489D | 001 | Lecture | 2:00-2:50pm | MWF | 28 of 49 | Guillermo Reyes Souto | KDC235 | ||

39490D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 12 of 25 | GFS113 | |||

39491D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 16 of 25 | GFS113 |

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

39500D | 001 | Lecture | 9:00-9:50am | MWF | 48 of 49 | Guillaume Dreyer | GFS101 | PDF (98578 KB) | |

39501D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 25 | KAP166 | |||

39502D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 25 | KAP166 | |||

39504D | 001 | Lecture | 10:00-10:50am | MWF | 49 of 49 | Christian Zillinger | VPD105 | PDF (176204 KB) | |

39505D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | KAP159 | |||

39506D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 26 of 26 | KAP159 | |||

39508D | 001 | Lecture | 11:00-11:50am | MWF | 49 of 49 | Christian Zillinger | SGM601 | PDF (176329 KB) | |

39509D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 25 | THHB10 | |||

39510D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | THHB10 | |||

39512D | 001 | Lecture | 12:00-12:50pm | MWF | 48 of 49 | Guillaume Dreyer | GFS101 | PDF (98578 KB) | |

39513D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 26 | KAP134 | |||

39514D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 25 | KAP134 | |||

39516D | 001 | Lecture | 1:00-1:50pm | MWF | 48 of 49 | Sami Assaf | GFS118 | PDF (116206 KB) | |

39517D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 26 | KAP159 | |||

39518D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 24 of 25 | KAP159 |

Applications of integration, review of techniques of integration, infinite sequences and series, some beginning linear algebra, ordinary differential equations. Designed for students who earn a score of 4 or 5 on the Advanced Placement Calculus AB Examination, or a score of 3 or 4 on the BC Examination. Admission to course by departmental approval. Duplicates credit in MATH 126.

**Note:**Register for lecture and discussion

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

39522D | 001 | Lecture | 11:00-11:50am | MWF | Canceled | ||||

39523D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | Canceled |

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

39524D | 001 | Lecture | 9:00-9:50am | MWF | 46 of 49 | Takahiro Sakai | GFS118 | ||

39525D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | VHE214 | |||

39526D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 25 | VHE214 | |||

39527D | 001 | Lecture | 11:00-11:50am | MWF | 41 of 49 | Remigijus Mikulevicius | VPD105 | ||

39528D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | VHE214 | |||

39529D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 17 of 25 | VHE214 |

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

39530D | 001 | Lecture | 2:00-2:50pm | MWF | 34 of 49 | Ricardo Mancera | KDC240 |

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

39535D | 001 | Lecture | 10:00-10:50am | MWF | Canceled | ||||

39536D | 001 | Discussion | 9:00-9:50am | Tue, Thu | Canceled |

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

39541D | 001 | Lecture | 9:00-9:50am | MWF | 49 of 49 | Andrea Appel | THH114 | ||

39542D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 26 of 26 | GFS108 | |||

39543D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 23 of 25 | GFS108 | |||

39544D | 001 | Lecture | 10:00-10:50am | MWF | 48 of 45 | Guillaume Dreyer | GFS118 | PDF (102210 KB) | |

39545D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 25 of 25 | KAP167 | |||

39546D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 25 | KAP167 | |||

39547D | 001 | Lecture | 11:00-11:50am | MWF | 52 of 52 | Paul Tokorcheck | THH210 | ||

39548D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 27 of 27 | VKC201 | |||

39549D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 26 | VKC201 | |||

39550D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 45 | Paul Tokorcheck | VKC100 | ||

39551D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | GFS108 | |||

39552D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | GFS108 |

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

39553D | 001 | Lecture | 9:00-9:50am | MWF | 49 of 45 | Guillermo Reyes Souto | SOSB4 | ||

39554D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | GFS213 | |||

39555D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | GFS213 | |||

39556D | 001 | Lecture | 10:00-10:50am | MWF | 46 of 45 | Guillermo Reyes Souto | SGM601 | ||

39557D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | VHE206 | |||

39558D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 25 | VHE206 | |||

39559D | 001 | Lecture | 10:00-10:50am | MWF | 49 of 49 | Fedor Malikov | VKC102 | ||

39560D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | KAP167 | |||

39561D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | KAP167 | |||

39562D | 001 | Lecture | 11:00-11:50am | MWF | 49 of 49 | Nathaniel Emerson | VKC100 | ||

39563D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | VHE206 | |||

39564D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | VHE206 | |||

39565D | 001 | Lecture | 11:00-11:50am | MWF | 42 of 49 | Fedor Malikov | SOSB46 | ||

39566D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 19 of 25 | GFS114 | |||

39567D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 23 of 25 | GFS114 | |||

39568D | 001 | Lecture | 12:00-12:50pm | MWF | 41 of 49 | Nicolai Haydn | ZHS163 | ||

39569D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 25 of 27 | VHE214 | |||

39570D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 16 of 25 | VHE214 | |||

39571D | 001 | Lecture | 12:00-12:50pm | MWF | 46 of 49 | Sergey Lototsky | SOSB44 | ||

39572D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | KAP134 | |||

39573D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 25 | KAP134 | |||

39574D | 001 | Lecture | 1:00-1:50pm | MWF | 49 of 49 | Alexander Soibelman | THH114 | ||

39575D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 24 of 25 | VHE214 | |||

39576D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 25 of 25 | VHE214 | |||

39577D | 001 | Lecture | 1:00-1:50pm | MWF | Canceled | ||||

39578D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | Canceled | ||||

39579D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | Canceled |

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

39580D | 001 | Lecture | 9:00-9:50am | MWF | 49 of 49 | Nathaniel Emerson | WPHB28 | ||

39581D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 25 | KAP165 | |||

39582D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | KAP165 | |||

39583D | 001 | Lecture | 1:00-1:50pm | MWF | 49 of 49 | Takahiro Sakai | THH116 | ||

39584D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | GFS220 | |||

39585D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | GFS220 |

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

39590D | 001 | Lecture | 10:00-10:50am | MWF | 46 of 49 | James-Michael Leahy | VKC100 | ||

39591D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 21 of 25 | KAP138 | |||

39592D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | KAP138 | |||

39594D | 001 | Lecture | 11:00-11:50am | MWF | 45 of 49 | Satwindar Sadhal | WPHB28 | PDF (44984 KB) | |

39595D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 21 of 25 | THHB10 | |||

39596D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 25 | THHB10 | |||

39598D | 001 | Lecture | 9:00-9:50am | MWF | 43 of 49 | James-Michael Leahy | VKC102 | ||

39599D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 19 of 25 | THHB10 | |||

39600D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | THHB10 | |||

39602D | 001 | Lecture | 12:00-12:50pm | MWF | 36 of 49 | Nathaniel Emerson | VKC152 | ||

39603D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 16 of 25 | GFS105 | |||

39604D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 20 of 25 | GFS105 |

Probability, counting, independence, distributions, random variables, simulation, expectation, variance, covariance, transformations, law of large numbers, Central limit theorem, estimation, efficiency, maximum likelihood, Cramer-Rao bound, bootstrap. Prerequisites: MATH 118 or MATH 125 or MATH 126.

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

39615D | 001 | Lecture | 2:00-3:20pm | Wed, Fri | 16 of 30 | Jay Bartroff | KAP163 | ||

39616D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 16 of 30 | SGM226 |

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

39620D | 001 | Lecture | 4:00-6:50pm | Wednesday | 6 of 20 | Alexander Soibelman | KAP141 |

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

39625D | 001 | Lecture | 9:00-9:50am | MWF | 46 of 48 | Jason Fulman | SGM601 | ||

39626D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 25 | VKC260 | |||

39627D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 26 | VKC260 | |||

39629D | 001 | Lecture | 11:00-11:50am | MWF | 57 of 57 | Jianfeng Zhang | GFS118 | ||

39630D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 29 of 30 | VHE210 | |||

39631D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 28 of 29 | VHE210 |

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

39641D | 001 | Lecture | 1:00-1:50pm | MWF | 21 of 40 | Sheldon Kamienny | KAP140 | ||

39642D | 001 | Discussion | 2:00-3:50pm | Thursday | 21 of 40 | KAP245 |

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

39645D | 001 | Lecture | 10:00-10:50am | MWF | 27 of 28 | Ken Alexander | SGM226 | ||

39646D | 001 | Discussion | 2:00-3:50pm | Tuesday | 27 of 28 | WPH207 | |||

39647D | 001 | Lecture | 10:00-10:50am | MWF | 31 of 31 | Neelesh Tiruviluamala | VKC260 | ||

39648D | 001 | Discussion | 11:00-12:50pm | Thursday | 31 of 31 | SGM226 |

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

39650D | 001 | Lecture | 11:00-11:50am | MWF | 32 of 32 | Sheldon Kamienny | THH108 |

The Euclidean plane and its isometries. Models for the hyperbolic metric, isometries, linear fractional maps, geodesics. Gluing constructions. Knot theory and invariants. Prerequisite: MATH 226 or MATH 227.

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

39655D | 001 | Lecture | 2:00-2:50pm | MWF | 31 of 35 | Francis Bonahon | KAP147 |

Cardinals, topologies, separation axioms. Compactness, metrizability, function spaces; completeness; Jordan curve theorem.

**Recommended preparation:**Upper division Math course.Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39660D | 001 | Lecture | 11:00-11:50am | MWF | 28 of 31 | David Crombecque | VKC260 |

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

39669D | 001 | Lecture | 10:00-10:50am | MWF | 36 of 49 | Robert Sacker | VKC152 | PDF (118660 KB) | |

39670D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 22 of 27 | THHB9 | |||

39671D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 14 of 25 | THHB9 | |||

39673D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 47 | Susan Friedlander | KAP414 | ||

39674D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 19 of 22 | GFS109 | |||

39675D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 28 of 28 | GFS109 |

Rounding errors in digital computation; solution of linear algebraic systems; Newton's method for nonlinear systems; matrix eigenvalues; polynomial approximation; numerical integration; numerical solution of ordinary differential equations.

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

39681D | 001 | Lecture | 2:00-2:50pm | MWF | 46 of 47 | Gerrit Welper | GFS207 | ||

39682D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 46 of 47 | GFS207 |

Methods for static, dynamic, unconstrained, constrained optimization. Gradient, conjugate gradient, penalty methods. Lagrange multipliers, least squares, linear, nonlinear dynamic programming. Application to control and estimation.

**Prerequisite:**1 from (MATH 226 or MATH 227) and 1 from (MATH 225 or MATH 245)**Note:**Register for lecture and discussion

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

39685D | 001 | Lecture | 1:00-1:50pm | MWF | 25 of 33 | Chunming Wang | KAP145 | ||

39686D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 25 of 33 | SGM226 |

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

39690D | 001 | 2.0-8.0 | Lecture | TBA | TBA | 10 of 20 | OFFICE |

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

39700R | 001 | Lecture | 10:00-10:50am | MWF | 15 of 30 | Chunming Wang | KAP245 |

Populations, permutations, combinations, random variables, distribution and density functions, conditional probability and expectation,; binomial, poisson, and normal distributions; laws of large numbers, central limit theorem. Prerequisite: Consent of Instructor.

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

39710D | 001 | Lecture | 1:00-1:50pm | MWF | 46 of 51 | Peter Baxendale | SOSB46 | PDF (11952 KB) |

a: Probability spaces; distributions and characteristic functions; laws of large numbers, central limit problems; stable and infinitely divisible laws; conditional distributions. b: Dependence, martingales, ergodic theorems, second-order random functions, harmonic analysis, Markov processes.

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

39720R | 001 | Lecture | 1:00-1:50pm | MWF | 22 of 30 | Nicolai Haydn | KAP148 |

Brownian motion, stochastic integrals, the Ito formula, stochastic differential equations, analysis of diffusion processes, Girsanov transformation, Feynmann-Kac formula, applications.

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

39725R | 001 | Lecture | 9:00-9:50am | MWF | 6 of 25 | Igor Kukavica | KAP113 |

A: Group Theory: Isomorphism theorems, group actions, Sylow's theorems, simple and solvable groups; Field Theory: Galois correspondence, radical extensions, algebraic and transcendental extensions, finite fields.

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

39730R | 001 | Lecture | 12:00-12:50pm | MWF | 8 of 20 | Aravind Asok | KAP134 |

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

41103D | 046 | Lecture | 1:05-2:55pm | Tuesday | 50 of 64 | Sandrah Eckel | SSB115AB | ||

41106D | 046 | Lab | 11:05-12:55pm | Tuesday | 22 of 50 | Sandrah Eckel | SSB115AB | ||

41108D | 046 | Lab | 3:05-4:55pm | Tuesday | 28 of 35 | Sandrah Eckel | SSB115AB |

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

41070D | 046 | Lecture | 12:30-2:25pm | Tuesday | 30 of 38 | Wendy MacK | SSB114 | ||

41079D | 046 | Lab | 2:30-4:30pm | Tuesday | 30 of 38 | Wendy MacK | SSB114 |

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 425B

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

39735R | 001 | Lecture | 9:00-9:50am | MWF | 29 of 40 | Ken Alexander | KAP158 |

Stochastic processes revisited, Brownian motion, Martingale theory, stochastic differential equations, Feynman-Kac formula, binomial models, basic concepts in arbitrage pricing theory, equivalent Martingale measure.

**Recommended preparation:**Math-225, Math-407. Duplicates credit in the former MATH 503.Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39737R | 001 | Lecture | 2:00-3:15pm | Wed, Fri | 37 of 50 | Jin Ma | VKC100 |

Inversion formulas, generating functions and recursions, partitions, Stirling numbers, distinct representatives, Ramsey's theorem, graph theory, block designs, difference sets, finite geometrics, Latin squares, Hadamard matrices.

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

39740R | 001 | Lecture | 12:00-12:50pm | MWF | 7 of 25 | Sami Assaf | KAP159 | PDF (112216 KB) |

Initial and final topologies, function spaces, algebras in C(Y), homotopy, fundamental group, fiber spaces and bundles, smashes, loop spaces, groups of homotopy classes, cw- complexes. Prerequisite: 440.

**Prerequisite:**MATH 440

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

39745R | 001 | Lecture | 11:00-11:50am | MWF | 9 of 20 | Francis Bonahon | KAP134 |

Hypotheses testing, Neyman-Pearson lemma, generalized likelihood ratio procedures, confidence intervals, consistency, power, jackknife and bootstrap. Monte Carlo Markov chain methods, hidden Markov models.

**Prerequisite:**MATH 541a

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

39750R | 001 | Lecture | 11:00-11:50am | MWF | 27 of 40 | Stanislav Minsker | THH118 | PDF (113738 KB) |

Exploratory and inferential techniaues for multivariate data, Hotelling's T2, multivariate analysis of variance, classification analysis, principle components, cluster analysis, factor analysis. Involves computer use.

**Prerequisite:**(PM 510 and PM 522A)**Crosslist:**This course is offered by the PM department but may qualify for major credit in MATH. To register, enroll in PM 544.

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

41061D | 046 | Lecture | 3:05-4:25pm | Wednesday | Canceled | Mark Krailo | |||

3:05-4:25pm | Thursday | ||||||||

41094D | 046 | Lecture-Lab | 3:00-4:30pm | Wednesday | 6 of 20 | Mark Krailo | SSB301 | ||

3:00-4:30pm | Thursday | SSB117 |

Metric spaces, compactness, completion, fixed-point theorems, abstract spaces, linear operators, functionals, duality, conjugates, Lp spaces, Fourier transform. Applications from Engineering, Natural and Social sciences.

**Recommended preparation:**Linear Algebra and Calculus.Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39760R | 001 | Lecture | 12:00-12:50pm | MWF | 13 of 21 | Robert Sacker | KAP245 | PDF (110950 KB) |

Equivalence of matrices; Jordon canonical form; functions of matrices; diagonalization; singular value decomposition; applications to linear differential equations, stability theory, and Markov processes. Prerequisite: consent of instructor.

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

39762R | 001 | Lecture | 2:00-2:50pm | MWF | 19 of 25 | Gary Rosen | KAP159 |

Applications of the mathematical, statistical and comutational sciences to data from molecular biology. Statistics for genomic sequence data: DNA sequence assembly, significance of alignment scores, hidden Markov models, genetic mapping, models of sequence evolution, and microarray analysis.

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

39770R | 001 | Lecture | 11:00-12:20pm | Tue, Thu | 8 of 20 | Fengzhu Sun,Liang Chen | RRI301 | Word (16946 KB) |

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

39775D | 001 | Lecture | TBA | TBA | 24 of 30 | OFFICE |

Credit on acceptance of thesis.

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

39780R | 001 | Lecture | TBA | TBA | 8 of 10 | OFFICE |

Practical principles for the long-term development of effective teaching within college disciplines. Intended for teaching assistants in Dornsife College. Graded CR/NC.

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

39784R | 001 | Lecture | 5:00-7:00pm | Wednesday | 13 of 30 | Jay Bartroff | KAP414 |

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

39786R | 001 | Lecture | TBA | TBA | Canceled | TBA |

Localization, structure of Noetherian rings, integral extensions, valuation theory, graded rings, characteristic functions, local algebra, dimension theory.

**Prerequisite:**MATH 510B

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

39787R | 001 | Lecture | 10:30-11:45am | Mon, Wed | 6 of 20 | Brad Drew | KAP427 |

Jacobson radical, nil radical, nil rings and nil-potence, chain conditions, polynomial identity and group rings. Goldie theorems, current research.

**Prerequisite:**MATH 510B

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

39788R | 001 | Lecture | 4:40-5:55pm | Mon, Wed | 4 of 20 | Robert Guralnick | KAP427 |

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

39802R | 001 | Lecture | 2:00-3:20pm | Mon, Wed | 17 of 22 | Larry Goldstein | KAP134 |

Topics to be chosen from the following: Elliptic, Parabolic, Hyperbolic, and Dispersive PDEs, Conservation Laws, Mathematical Fluid Dynamics and Variational Methods.

**Recommended preparation:**Math-555a.**Prerequisite:**MATH 525a

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

39803R | 001 | Lecture | 10:00-12:00pm | Tue, Thu | 8 of 20 | Nabil Ziane | KAP427 |

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

39806R | 001 | Lecture | TBA | TBA | 1 of 15 | OFFICE |

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

39807R | 001 | Lecture | TBA | TBA | 3 of 15 | OFFICE |

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

39808R | 001 | Lecture | TBA | TBA | 3 of 15 | OFFICE |

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

39809R | 001 | Lecture | TBA | TBA | 1 of 15 | OFFICE |

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

39810R | 001 | Lecture | TBA | TBA | 5 of 15 | 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 |
---|---|---|---|---|---|---|---|---|---|

39811D | 001 | Lecture | TBA | TBA | 3 of 20 | OFFICE |

Credit on acceptance of dissertation.

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

39815D | 001 | Lecture | TBA | TBA | 8 of 10 | OFFICE |