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## Mathematics

## Mathematics **(MATH)**

- https://dornsife.usc.edu/mathematics/
- D class assignments for undergraduates available in KAP; 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 & one discussion

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

39403D | 001 | Lecture | 9:00-9:50am | MWF | 48 of 56 | Jared Warner | CPA100 | PDF (247348 KB) | |

39404D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 30 | KAP147 | |||

39405D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 30 | KAP147 |

An introduction to the basic tools of statistics. Descriptive statistics; probability; expected value; normal approximation sampling; chance models; tests of significance.

**Recommended preparation:**MATH 040x or math placement exam. Not available for major credit to Math students.**General Education:**This course satisfies the university's general education requirement.**Note:**Register for one lecture & one discussion listed immediately following that lecture

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

39410D | 001 | Lecture | 10:00-10:50am | MWF | 38 of 49 | Cymra Haskell | KAP163 | ||

39411D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 15 of 25 | KAP167 | |||

39412D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 25 | KAP167 | |||

39413D | 001 | Lecture | 11:00-11:50am | MWF | 36 of 49 | Sangchul Lee | CPA156 | ||

39414D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 21 of 25 | GFS229 | |||

39415D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 15 of 25 | GFS229 | |||

39416D | 001 | Lecture | 1:00-1:50pm | MWF | 37 of 49 | Cymra Haskell | GFS207 | ||

39417D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 19 of 25 | GFS204 | |||

39418D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 18 of 25 | VHE214 |

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 & one discussion listed immediately following that lecture

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

39419D | 001 | Lecture | 11:00-11:50am | MWF | 49 of 55 | Jared Warner | SOSB4 | PDF (249970 KB) | |

39420D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 28 | KAP140 | |||

39421D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 26 of 28 | GFS107 | |||

39422D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 51 | Jared Warner | THH114 | PDF (249954 KB) | |

39423D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 26 | KAP141 | |||

39424D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 26 | KAP141 |

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.

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

39429D | 001 | Lecture | 9:00-9:50am | MWF | 43 of 49 | Paul Tokorcheck | ZHS163 | PDF (116395 KB) | |

39430D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 20 of 25 | KAP137 | |||

39431D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 25 | KAP137 | |||

39432D | 001 | Lecture | 10:00-10:50am | MWF | 43 of 49 | Paul Tokorcheck | WPH207 | PDF (116395 KB) | |

39433D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 22 of 25 | GFS228 | |||

39434D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 21 of 25 | GFS228 | |||

39435D | 001 | Lecture | 10:00-10:50am | MWF | 22 of 49 | Guillaume Dreyer | KAP146 | ||

39436D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 9 of 25 | KAP167 | |||

39437D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 13 of 25 | KAP167 | |||

39438D | 001 | Lecture | 11:00-11:50am | MWF | 48 of 49 | Michael Hall | ONLINE | ||

39439D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | KAP134 | |||

39440D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | KAP140 | |||

39441D | 001 | Lecture | 12:00-12:50pm | MWF | 43 of 49 | Tommaso Cremaschi | GFS106 | PDF (211026 KB) | |

39442D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 25 | KAP159 | |||

39443D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 25 | KAP159 | |||

39444D | 001 | Lecture | 12:00-12:50pm | MWF | 48 of 49 | Zachary Wickham | ZHS163 | ||

39445D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 25 | GFS221 | |||

39446D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 24 of 25 | GFS221 | |||

39447D | 001 | Lecture | 1:00-1:50pm | MWF | 48 of 48 | Zachary Wickham | ZHS163 | ||

39448D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | GFS205 | |||

39449D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | SOSB37 | |||

39450D | 001 | Lecture | 1:00-1:50pm | MWF | 46 of 49 | Spencer Gerhardt | LVL16 | PDF (64759 KB) | |

39451D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 23 of 25 | GFS220 | |||

39452D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 23 of 25 | GFS220 | |||

39453D | 001 | Lecture | 2:00-2:50pm | MWF | 44 of 49 | Spencer Gerhardt | LVL16 | PDF (64769 KB) | |

39454D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 21 of 25 | KAP134 | |||

39455D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 25 | KAP134 |

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

**Prerequisite:**MATH 108**General Education:**This course satisfies the university's general education requirement.**Note:**Register for one lecture & one discussion listed immediately following that lecture

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

39456D | 001 | Lecture | 9:00-9:50am | MWF | 47 of 52 | Michael Hall | ONLINE | ||

39457D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 27 | CPA106 | |||

39458D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 25 | CPA106 | |||

39462D | 001 | Lecture | 10:00-10:50am | MWF | 49 of 56 | Michael Hall | ONLINE | ||

39463D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 22 of 29 | THH108 | |||

39464D | 001 | Discussion | 6:00-6:50pm | Tue, Thu | 27 of 28 | THH108 | |||

39465D | 001 | Lecture | 10:00-10:50am | MWF | 47 of 50 | Harrison Algra | WPHB28 | ||

39466D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 25 | KAP165 | |||

39467D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 25 of 26 | KAP165 | |||

39468D | 001 | Lecture | 11:00-11:50am | MWF | 53 of 56 | Nathaniel Emerson | CPA150 | ||

39469D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 27 of 28 | KAP140 | |||

39470D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 26 of 29 | KAP140 | |||

39471D | 001 | Lecture | 11:00-11:50am | MWF | 45 of 49 | Felicia Tabing | KAP156 | ||

39472D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | KAP113 | |||

39473D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 25 | KAP113 | |||

39474D | 001 | Lecture | 12:00-12:50pm | MWF | 41 of 49 | Felicia Tabing | KAP144 | ||

39475D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 18 of 25 | KAP159 | |||

39476D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 23 of 25 | KAP159 | |||

39477D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 50 | Harrison Algra | CPA156 | ||

39478D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | THHB10 | |||

39479D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 25 | THHB10 | |||

39480D | 001 | Lecture | 1:00-1:50pm | MWF | 47 of 48 | Nathaniel Emerson | MHPB7B | ||

39481D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 25 | GFS229 | |||

39482D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 25 | GFS229 | |||

39486D | 001 | Lecture | 2:00-2:50pm | MWF | 46 of 52 | Nathaniel Emerson | SOSB4 | ||

39487D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 26 | KAP113 | |||

39488D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 23 of 26 | KAP113 | |||

39489D | 001 | Lecture | 10:00-10:50am | MWF | Canceled | ||||

39490D | 001 | Discussion | 10:00-10:50am | Tue, Thu | Canceled |

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 & one discussion listed immediately following that lecture MATH 126g carries GE credit but it is intended for a specific cohort of students rather than a general student audience.

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

39500D | 001 | Lecture | 9:00-9:50am | MWF | 41 of 49 | Trinh Nguyen | LVL16 | ||

39501D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 20 of 25 | GFS229 | |||

39502D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 25 | GFS212 | |||

39504D | 001 | Lecture | 10:00-10:50am | MWF | 44 of 49 | Wojciech Ozanski | THH116 | ||

39505D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 25 | GFS228 | |||

39506D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 25 | GFS228 | |||

39512D | 001 | Lecture | 11:00-11:50am | MWF | 31 of 49 | Chunming Wang | KAP146 | PDF (109241 KB) | |

39513D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 15 of 25 | GFS229 | |||

39514D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 16 of 25 | GFS229 | |||

39516D | 001 | Lecture | 12:00-12:50pm | MWF | 45 of 49 | David Crombecque | ONLINE | ||

39517D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | KAP167 | |||

39518D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 25 | KAP167 | |||

39519D | 001 | Lecture | 1:00-1:50pm | MWF | 46 of 49 | Masoud Zargar, Ricardo Mancera | WPHB28 | ||

39520D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 23 of 25 | CPA109 | |||

39521D | 001 | Discussion | 6:00-6:50pm | Tue, Thu | 23 of 25 | CPA109 |

Trigonometric functions; applications of integration; techniques of integration; indeterminate forms; infinite series; Taylor series; polar coordinates. Engineering and physics applications. Prerequisite: MATH 125. (Duplicates credit in MATH 126 and MATH 127)

**Prerequisite:**MATH 125**Note:**Register for one lecture & one discussion listed immediately following that lecture

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

39524D | 001 | Lecture | 9:00-9:50am | MWF | 40 of 49 | David Crombecque | ONLINE | ||

39525D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 25 | GFS221 | |||

39526D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 18 of 25 | GFS221 | |||

39527D | 001 | Lecture | 11:00-11:50am | MWF | 45 of 49 | Jay Bartroff | LVL16 | PDF (118840 KB) | |

39528D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | KAP137 | |||

39529D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 25 | 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 |
---|---|---|---|---|---|---|---|---|---|

39530D | 001 | Lecture | 2:00-2:50pm | MWF | 41 of 49 | Mark Rychnovsky | KAP144 |

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

**Prerequisite:**1 from (MATH 126 or MATH 127 or MATH 129)**Note:**Register for one lecture & one discussion listed immediately following that lecture

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

39538D | 001 | Lecture | 9:00-9:50am | MWF | 34 of 49 | Joshua Swanson | WPHB28 | ||

39539D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 15 of 25 | GFS109 | |||

39540D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 19 of 25 | GFS109 | |||

39541D | 001 | Lecture | 10:00-10:50am | MWF | 47 of 49 | Ricardo Mancera | CPA152 | ||

39542D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | GFS213 | |||

39543D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 25 | GFS213 | |||

39544D | 001 | Lecture | 11:00-11:50am | MWF | 48 of 49 | Ricardo Mancera | CPA152 | ||

39545D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 26 | KAP165 | |||

39546D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | KAP165 | |||

39547D | 001 | Lecture | 12:00-12:50pm | MWF | 45 of 49 | Anne Dranowski | LVL16 | ||

39548D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 21 of 25 | GFS221 | |||

39549D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | GFS221 | |||

39550D | 001 | Lecture | 1:00-1:50pm | MWF | 25 of 49 | Sheldon Kamienny | ONLINE | ||

39551D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 20 of 25 | CPA154 | |||

39552D | 001 | Discussion | 6:00-6:50pm | Tue, Thu | 5 of 25 | CPA154 | |||

39535D | 001 | Lecture | 2:00-2:50pm | MWF | 45 of 49 | Qingtang Su | THH116 | ||

39536D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 24 of 25 | GFS228 | |||

39537D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 21 of 25 | GFS228 |

Vectors, vector valued functions; differential and integral calculus of functions of several variables; Green's theorem, Divergence theorem, Stoke's theorem.

**Prerequisite:**1 from (MATH 126 or MATH 127 or MATH 129)**General Education:**This course satisfies the university's general education requirement.**Note:**Register for one lecture & one discussion listed immediately following that lecture MATH 226g carries GE credit but it is intended for a specific cohort of students rather than a specific student audience.

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

39553D | 001 | Lecture | 9:00-9:50am | MWF | 43 of 49 | Fedor Malikov | SOSB4 | ||

39554D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 21 of 25 | KAP159 | |||

39555D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 25 | KAP159 | |||

39556D | 001 | Lecture | 10:00-10:50am | MWF | 47 of 49 | Guillermo Reyes Souto | SOSB4 | Word (30561 KB) | |

39557D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 26 | GFS109 | |||

39558D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 25 | GFS109 | |||

39559D | 001 | Lecture | 10:00-10:50am | MWF | 46 of 49 | Aravind Asok | CPA102 | ||

39560D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | KAP113 | |||

39561D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 25 | KAP113 | |||

39562D | 001 | Lecture | 11:00-11:50am | MWF | 48 of 49 | Guillermo Reyes Souto | MHPB7B | Word (30498 KB) | |

39563D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 24 of 25 | CPA256 | |||

39564D | 001 | Discussion | 6:00-6:50pm | Tue, Thu | 24 of 25 | CPA256 | |||

39565D | 001 | Lecture | 11:00-11:50am | MWF | 29 of 49 | Nicolai Haydn | VHE217 | ||

39566D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 21 of 25 | GFS220 | |||

39567D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 8 of 25 | GFS220 | |||

39568D | 001 | Lecture | 12:00-12:50pm | MWF | 20 of 24 | Sheel Ganatra | CPA100 | ||

39569D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 20 of 24 | GFS108 | |||

39570D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | Canceled | ||||

39574D | 001 | Lecture | 1:00-1:50pm | MWF | 34 of 49 | Sheel Ganatra | CPA102 | ||

39575D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 12 of 25 | GFS213 | |||

39576D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 23 of 25 | GFS213 |

A continuation of 129; vectors, vector valued functions; differential and integral calculus of functions of several variables; Greens theorem. Engineering and physics applications. Prerequisite: MATH 126, or MATH 127, or MATH 129.(Duplicates credit in MATH 226 and MATH 227)

**Prerequisite:**1 from (MATH 126 or MATH 127 or MATH 129)**Note:**Register for one lecture & one discussion listed immediately following that lecture

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

39580D | 001 | Lecture | 9:00-9:50am | MWF | 17 of 28 | Guillaume Dreyer | KAP146 | ||

39581D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 9 of 25 | GFS108 | |||

39582D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 8 of 25 | GFS108 | |||

39583D | 001 | Lecture | 11:00-11:50am | MWF | 45 of 49 | Takahiro Sakai | GFS101 | ||

39584D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | GFS221 | |||

39585D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 25 | GFS221 | |||

39586D | 001 | Lecture | 12:00-12:50pm | MWF | 18 of 28 | Guillaume Dreyer | KAP146 | ||

39587D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 7 of 25 | GFS220 | |||

39588D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 11 of 25 | GFS220 |

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

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

39598D | 001 | Lecture | 11:00-11:50am | MWF | 38 of 49 | Ramtin Sheikhhassani | THH116 | PDF (202179 KB) | |

39599D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 14 of 25 | GFS109 | |||

39600D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | GFS109 | |||

39602D | 001 | Lecture | 12:00-12:50pm | MWF | 44 of 49 | Trevor Leslie | SOSB4 | PDF (210570 KB) | |

39603D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 20 of 25 | GFS105 | |||

39604D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 25 | GFS105 | |||

39606D | 001 | Lecture | 1:00-1:50pm | MWF | 45 of 49 | Ramtin Sheikhhassani | THH116 | PDF (202179 KB) | |

39607D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 25 of 25 | GFS105 | |||

39608D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 20 of 25 | GFS105 |

Preparation for reading and writing proofs with applications from major branches of mathematics, focusing on axiomatic structures and transformations that preserve structure.

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

39610D | 001 | Lecture | 1:00-1:50pm | MWF | 12 of 22 | Paul Tokorcheck | THH118 | PDF (110577 KB) | |

39611D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 3 of 1 | THH117 | |||

39612D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 9 of 22 | GFS205 |

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.

**Prerequisite:**1 from (MATH 118 or MATH 125 or MATH 126 or MATH 127 or MATH 129)**Note:**Register for lecture & discussion

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

39615D | 001 | Lecture | 1:00-1:50pm | MWF | 26 of 35 | Gary Rosen | WPH103 | ||

39616D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 26 of 35 | KAP147 |

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

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

39620D | 001 | Lecture | 6:00-7:20pm | Monday | 8 of 20 | Richard Arratia | KAP414 | PDF (49549 KB) |

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

**Prerequisite:**1 from (MATH 226 or MATH 227 or MATH 229)**Note:**Register for one lecture & one discussion listed immediately following that lecture

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

39625D | 001 | Lecture | 9:00-9:50am | MWF | 41 of 49 | Sergey Lototsky | THH116 | PDF (165193 KB) | |

39626D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 20 of 25 | GFS104 | |||

39627D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 25 | GFS104 | |||

39629D | 001 | Lecture | 10:00-10:50am | MWF | 45 of 49 | Jianfeng Zhang | THH114 | ||

39630D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | GFS108 | |||

39631D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 25 | GFS108 | |||

39632D | 001 | Lecture | 11:00-11:50am | MWF | 45 of 49 | Jason Fulman | THH114 | ||

39633D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 25 | GFS104 | |||

39634D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 21 of 25 | GFS104 | |||

39621D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 49 | Richard Arratia | CPA102 | PDF (61531 KB) | |

39622D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | GFS109 | |||

39623D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 25 | GFS109 |

Principles for testing hypotheses and estimation, confidence intervals, methods of moments, maximum likelihood, information inequality, likelihood ratio tests, goodness of fit and nonparametric methods.

**Prerequisite:**MATH 407**Note:**Register for one lecture & one discussion listed immediately following that lecture

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

39635D | 001 | Lecture | 9:00-9:50am | MWF | 39 of 49 | Jay Bartroff | THH114 | PDF (178418 KB) | |

39636D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 21 of 25 | GFS105 | |||

39637D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 18 of 25 | GFS105 | |||

39638D | 001 | Lecture | 1:00-1:50pm | MWF | 18 of 49 | Steven Heilman | THH114 | PDF (81474 KB) | |

39639D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 7 of 25 | GFS108 | |||

39640D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 11 of 25 | GFS108 |

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 & discussion

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

39641D | 001 | Lecture | 1:00-1:50pm | MWF | 18 of 30 | Fedor Malikov | KAP148 | ||

39642D | 001 | Discussion | 4:00-5:50pm | Tuesday | 18 of 30 | GFS223 |

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

**Prerequisite:**1 from (MATH 226 or MATH 227 or MATH 229)**Note:**Register for one lecture & discussion listed immediately following that lecture

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

39645D | 001 | Lecture | 9:00-9:50am | MWF | 27 of 40 | Wojciech Ozanski | THH210 | ||

39646D | 001 | Discussion | 4:00-5:50pm | Thursday | 27 of 40 | KAP163 | |||

39647D | 001 | Lecture | 11:00-11:50am | MWF | 22 of 40 | Gary Rosen | KAP148 | ||

39648D | 001 | Discussion | 9:00-10:50am | Tuesday | 22 of 40 | KAP163 |

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

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

39650D | 001 | Lecture | 11:00-11:50am | MWF | 30 of 31 | Aravind Asok | KAP145 | ||

39651D | 001 | Lecture | 12:00-12:50pm | MWF | 24 of 30 | Sheldon Kamienny | ONLINE |

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 | 11 of 30 | David Crombecque | ONLINE |

Vector field theory; theorems of Gauss, Green, and Stokes; Fourier series and integrals; complex variables; linear partial differential equations; series solutions of ordinary differential equations.

**Prerequisite:**1 from (MATH 245 or (MATH 225 and MATH 226) or (MATH 225 and MATH 227) or (MATH 225 and MATH 229))**Note:**Register for lecture & one discussion

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

39673D | 001 | Lecture | 12:00-12:50pm | MWF | 30 of 49 | Robert Sacker | KAP414 | PDF (105149 KB) | |

39674D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 17 of 25 | KAP141 | |||

39675D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 13 of 25 | KAP141 |

Probabilistic model building, linear predictors, neural networks, classification, unsupervised learning, principal components, clustering, model validation, Machine Learning pipelines, programmatic data wrangling.

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

39691D | 001 | Lecture | 1:00-1:50pm | MWF | 40 of 40 | Neelesh Tiruviluamala | WPH102 | ||

39692D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | 20 of 20 | THH116 | |||

39693D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 20 of 20 | THH116 |

Mathematical aspects of Machine Learning. PAC Learning, VC-dimension and complexity. Linear predictors (regression, perceptron, SVM). Convex learning and gradient descent. Neural networks and backpropagation.

**Prerequisite:**1 from (MATH 226 or MATH 227 or MATH 229) and 1 from (MATH 208 or MATH 407) and 1 from (MATH 225 or MATH 245)

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

39676D | 001 | Lecture | 2:00-2:50pm | MWF | 15 of 40 | Guillermo Reyes Souto | KAP163 | PDF (58592 KB) |

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.

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

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

39679D | 001 | Lecture | 12:00-12:50pm | MWF | 32 of 49 | Cymra Haskell | THH116 | ||

39680D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 15 of 25 | GFS104 | |||

39681D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 17 of 25 | GFS104 | |||

39682D | 001 | Lecture | 2:00-2:50pm | MWF | 49 of 50 | Ricardo Mancera | CPA156 | ||

39683D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | GFS104 | |||

39684D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 26 of 26 | GFS104 |

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 or MATH 229) and 1 from (MATH 225 or MATH 245)**Note:**Register for lecture & discussion

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

39685D | 001 | Lecture | 1:00-1:50pm | MWF | 17 of 35 | Chunming Wang | KAP147 | PDF (164561 KB) | |

39686D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 17 of 35 | KAP147 |

Individual research and readings. Not available for graduate credit.

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

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

39690D | 001 | Lecture | TBA | TBA | 4 of 20 | Eric Friedlander | OFFICE |

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

39710R | 001 | Lecture | 1:00-1:50pm | MWF | 27 of 45 | Remigijus Mikulevicius | KAP144 |

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 | 13 of 30 | Nicolai Haydn | KAP140 |

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 | 1:00-1:50pm | MWF | 7 of 25 | Jianfeng Zhang | 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 | 15 of 20 | Cris Negron | 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 |
---|---|---|---|---|---|---|---|---|---|

41100D | 046 | Lecture | 10:55-12:55pm | Tuesday | Canceled | Amanda Goodrich | |||

41103D | 046 | Lecture | 1:05-2:50pm | Tuesday | 44 of 50 | Donald Barkauskas, Amie Hwang | MCH256 | ||

41101D | 046 | Lab | 11:00-12:40pm | Tuesday | 6 of 45 | Donald Barkauskas | MCH256 | ||

41108D | 046 | Lab | 3:05-4:50pm | Tuesday | 38 of 46 | Donald Barkauskas | MCH256 |

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

41070D | 046 | Lecture | 12:30-2:25pm | Tuesday | 23 of 40 | Jin Piao | SSB114 | ||

41079D | 046 | Lab | 2:30-4:30pm | Tuesday | 23 of 40 | Jin Piao | 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 | 10:00-10:50am | MWF | 30 of 35 | Ken Alexander | KAP414 |

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 | 26 of 50 | Jin Ma | MHPB7B |

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 | 2:00-3:20pm | Mon, Wed | 5 of 25 | Sami Assaf | GFS217 |

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 | 6 of 20 | Joseph Helfer | KAP137 |

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 | 8 of 30 | Dmitrii Ostrovskii | KAP140 | PDF (122158 KB) |

Binary classification, empirical risk minimization, support vector machines, voting algorithms and AdaBoost, Vapnik-Chervonenkis combinatorics, concentration-of-measure inequalities, sparse recovery problems, high-dimensional convex geometry.

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

39752R | 001 | Lecture | 10:00-10:50am | MWF | 8 of 30 | Steven Heilman | KAP140 | PDF (88993 KB) |

Coverage of modern statistical methods as applied to practical consulting and data analysis, and the use of the R statistical language.

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

39753D | 001 | Lecture | 2:00-3:20pm | Mon, Wed | 15 of 16 | Larry Goldstein | VHE206 |

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 | 10:00-10:50am | MWF | Canceled | Robert Sacker | PDF (93602 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 | 11:00-11:50am | MWF | 7 of 35 | Robert Guralnick | KAP147 |

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 | 2:00-3:20pm | Tuesday | 13 of 19 | Adam MacLean,Geoffrey Fudenberg | RRI421 | PDF (249529 KB) |

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 | 4 of 20 | Liang Chen,Fengzhu Sun | PDF (113989 KB) |

Basic functional analysis in Banach and Hilbert spaces. Weak topologies, linear operators, spectral theory, calculus of vector-valued functions. Banach algebras.

**Prerequisite:**MATH 525B

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

39772R | 001 | Lecture | 9:00-9:50am | MWF | 4 of 20 | Juhi Jang | KAP134 |

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

39775D | 001 | 1.0-12.0 | Lecture | TBA | TBA | 8 of 20 | Eric Friedlander | OFFICE | ||

39776D | 001 | 1.0 | Lecture | TBA | TBA | 7 of 20 | Jin Ma | OFFICE |

Credit on acceptance of thesis.

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

39780R | 001 | Lecture | TBA | TBA | 6 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 | 3:30-5:00pm | Wednesday | 21 of 25 | Sami Assaf | KAP245 |

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

39786D | 001 | 1.0 | Lecture | TBA | TBA | 0 of 10 | OFFICE |

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

39788R | 001 | Lecture | 8:40-10:00am | Mon, Wed | 11 of 25 | Larry Goldstein | KAP414 | PDF (17449 KB) |

Structure and representation theory of various algebraic structures, such as groups, Lie algebras, Hopf algebras, algebraic groups, or group schemes.

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

39790R | 001 | Lecture | 12:00-12:50pm | MWF | 9 of 20 | Robert Guralnick | KAP245 |

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

39806R | 001 | Lecture | TBA | TBA | 7 of 10 | Sergey Lototsky | OFFICE | PDF (128635 KB) |

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

39807R | 001 | Lecture | TBA | TBA | 8 of 15 | Eric Friedlander, Amy Yung | OFFICE |

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

39808D | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |

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

39809D | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |

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

39810D | 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 |
---|---|---|---|---|---|---|---|---|---|

39811D | 001 | Lecture | TBA | TBA | 15 of 20 | Eric Friedlander | OFFICE |

Credit on acceptance of dissertation.

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

39815D | 001 | Lecture | TBA | TBA | 7 of 10 | OFFICE |