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## Mathematics

## Mathematics **(MATH)**

- https://dornsife.usc.edu/mathematics/
- D class assignments for undergraduates available in KAP-108; 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.

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

39408D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 23 | THH203 | |||

39407D | 001 | Lecture | 9:00-9:50am | MWF | 21 of 23 | Kayla Orlinsky | THH214 |

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

**Prerequisite:**MATH 040**General Education:**This course satisfies the university's general education requirement.**Note:**Register for lecture and one discussion

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

39403D | 001 | Lecture | 9:00-9:50am | MWF | 51 of 56 | Jared Warner | CPA100 | PDF (303743 KB) | |

39404D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 27 | GFS229 | |||

39405D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 27 of 29 | GFS223 |

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 | 33 of 49 | Cymra Haskell | CPA102 | ||

39411D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 14 of 24 | KAP167 | |||

39412D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 19 of 25 | KAP167 | |||

39413D | 001 | Lecture | 11:00-11:50am | MWF | 44 of 49 | Cymra Haskell | CPA156 | ||

39414D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 22 of 24 | CPA209 | |||

39415D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 22 of 25 | CPA209 | |||

39416D | 001 | Lecture | 1:00-1:50pm | MWF | 47 of 49 | Danjoseph Quijada | GFS101 | ||

39417D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 24 | CPA261 | |||

39418D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 25 of 25 | CPA261 |

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 | 11:00-11:50am | MWF | 34 of 53 | Mark Rychnovsky | SOSB4 | ||

39420D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 14 of 24 | KAP140 | |||

39421D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 20 of 25 | KAP140 | |||

39422D | 001 | Lecture | 12:00-12:50pm | MWF | 41 of 49 | Sami Assaf | KAP156 | PDF (278701 KB) | |

39423D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 19 of 24 | KAP141 | |||

39424D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 25 | 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 | 40 of 49 | Felicia Tabing | ZHS163 | ||

39430D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 19 of 24 | GFS104 | |||

39431D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 29 | KAP145 | |||

39432D | 001 | Lecture | 10:00-10:50am | MWF | 45 of 49 | Jianfeng Zhang | WPH207 | ||

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

39434D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 23 of 25 | GFS228 | |||

39435D | 001 | Lecture | 10:00-10:50am | MWF | 45 of 51 | Yang Qiu | KAP146 | ||

39436D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 21 of 25 | KAP167 | |||

39437D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 27 | KAP167 | |||

39438D | 001 | Lecture | 11:00-11:50am | MWF | 40 of 51 | Zhaoyu Zhang | SGM601 | ||

39439D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 21 of 25 | KAP134 | |||

39440D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 19 of 26 | KAP134 | |||

39441D | 001 | Lecture | 12:00-12:50pm | MWF | 48 of 54 | Felicia Tabing | GFS106 | ||

39442D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 27 | KAP159 | |||

39443D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 27 | KAP159 | |||

39444D | 001 | Lecture | 12:00-12:50pm | MWF | 48 of 52 | Jared Warner | ZHS163 | PDF (284912 KB) | |

39445D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 26 | GFS221 | |||

39446D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 24 of 26 | GFS221 | |||

39447D | 001 | Lecture | 1:00-1:50pm | MWF | 45 of 52 | Jared Warner | ZHS163 | PDF (284916 KB) | |

39448D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | KAP134 | |||

39449D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 27 | KAP140 | |||

39450D | 001 | Lecture | 1:00-1:50pm | MWF | 42 of 52 | Pranava Jayanti | LVL16 | Word (24004 KB) | |

39451D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 21 of 27 | WPH101 | |||

39452D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 21 of 26 | WPH101 | |||

39453D | 001 | Lecture | 2:00-2:50pm | MWF | 45 of 52 | Danjoseph Quijada | THH116 | ||

39454D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 22 of 26 | KAP138 | |||

39455D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 27 | KAP138 |

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 | 49 of 54 | Christopher Kuo | SLH100 | ||

39457D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 28 | CPA152 | |||

39458D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 27 | CPA106 | |||

39462D | 001 | Lecture | 10:00-10:50am | MWF | 50 of 53 | Ricardo Mancera | KAP156 | ||

39463D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 27 | KAP137 | |||

39464D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 26 of 26 | KAP137 | |||

39465D | 001 | Lecture | 10:00-10:50am | MWF | 55 of 56 | Henry Tucker | THH114 | ||

39466D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 28 of 28 | KAP165 | |||

39467D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 27 of 28 | KAP165 | |||

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

39469D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 26 of 28 | KAP140 | |||

39470D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 27 of 28 | KAP140 | |||

39471D | 001 | Lecture | 11:00-11:50am | MWF | 48 of 53 | Felicia Tabing | KAP156 | ||

39472D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 26 of 27 | THHB9 | |||

39473D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 26 | THHB9 | |||

39474D | 001 | Lecture | 12:00-12:50pm | MWF | 49 of 53 | Henry Tucker | KAP144 | ||

39475D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 24 of 27 | KAP159 | |||

39476D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 26 | KAP159 | |||

39477D | 001 | Lecture | 12:00-12:50pm | MWF | 50 of 56 | Christopher Kuo | SOSB46 | ||

39478D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 26 of 28 | WPH205 | |||

39479D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 28 | WPH205 | |||

39480D | 001 | Lecture | 1:00-1:50pm | MWF | 49 of 53 | Kyler Siegel | WPHB27 | ||

39481D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 28 | KAP156 | |||

39482D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 26 | KAP156 | |||

39486D | 001 | Lecture | 2:00-2:50pm | MWF | 47 of 54 | Nathaniel Emerson | SOSB4 | ||

39487D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 28 | KAP113 | |||

39488D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 28 | KAP113 |

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

**Prerequisite:**MATH 125**General Education:**This course satisfies the university's general education requirement.**Note:**Register for one lecture and one discussion listed immediately following that lecture 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 | 46 of 49 | Spencer Gerhardt | KAP156 | ||

39501D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 21 of 24 | CPA200 | |||

39502D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 25 | CPA161 | |||

39504D | 001 | Lecture | 10:00-10:50am | MWF | 51 of 54 | Guillermo Reyes Souto | THH116 | ||

39505D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 26 of 27 | WPH101 | |||

39506D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 25 of 27 | WPH101 | |||

39512D | 001 | Lecture | 11:00-11:50am | MWF | 46 of 54 | Spencer Gerhardt | THH114 | ||

39513D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 24 of 27 | WPH101 | |||

39514D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 22 of 27 | WPH101 | |||

39516D | 001 | Lecture | 12:00-12:50pm | MWF | 46 of 49 | Yu Deng | CPA152 | ||

39517D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 22 of 24 | KAP167 | |||

39518D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 25 | KAP167 | |||

39519D | 001 | Lecture | 1:00-1:50pm | MWF | 46 of 52 | Guillermo Reyes Souto | WPHB28 | ||

39520D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 21 of 26 | KAP113 | |||

39521D | 001 | Discussion | 6:00-6:50pm | Tue, Thu | 25 of 26 | KAP113 |

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 | 36 of 49 | Nabil Ziane | KAP144 | ||

39525D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 16 of 24 | GFS221 | |||

39526D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 20 of 25 | GFS221 | |||

39527D | 001 | Lecture | 11:00-11:50am | MWF | 41 of 49 | Nabil Ziane | LVL16 | ||

39528D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 20 of 24 | KAP141 | |||

39529D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 25 | KAP141 |

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 | 27 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 and 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 | 48 of 54 | Anne Dranowski | SOSB44 | ||

39539D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 23 of 27 | GFS109 | |||

39540D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 25 of 27 | GFS109 | |||

39541D | 001 | Lecture | 10:00-10:50am | MWF | 43 of 49 | David Crombecque | LVL16 | ||

39542D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 21 of 24 | GFS213 | |||

39543D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 25 | GFS213 | |||

39544D | 001 | Lecture | 11:00-11:50am | MWF | 51 of 54 | David Crombecque | SLH100 | ||

39545D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 25 of 27 | KAP165 | |||

39546D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 26 of 27 | KAP165 | |||

39547D | 001 | Lecture | 12:00-12:50pm | MWF | 51 of 52 | Spencer Gerhardt | LVL16 | ||

39548D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 25 of 26 | KAP148 | |||

39549D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 26 of 27 | KAP148 | |||

39550D | 001 | Lecture | 1:00-1:50pm | MWF | 48 of 49 | Yang Qiu | CPA152 | ||

39551D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 24 of 24 | KAP137 | |||

39552D | 001 | Discussion | 6:00-6:50pm | Tue, Thu | 24 of 25 | KAP137 | |||

39535D | 001 | Lecture | 2:00-2:50pm | MWF | 45 of 49 | Pranava Jayanti | CPA156 | Word (23857 KB) | |

39536D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 24 | CPA106 | |||

39537D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 23 of 25 | CPA106 |

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 and 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 | 51 of 54 | Fedor Malikov | SOSB4 | ||

39554D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 27 | KAP159 | |||

39555D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 27 of 28 | KAP159 | |||

39556D | 001 | Lecture | 10:00-10:50am | MWF | 48 of 54 | Nathaniel Emerson | SOSB4 | ||

39557D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 27 | GFS109 | |||

39558D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 27 | GFS109 | |||

39559D | 001 | Lecture | 10:00-10:50am | MWF | 53 of 54 | Trevor Leslie | SOSB44 | PDF (226777 KB) | |

39560D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 27 of 27 | KAP113 | |||

39561D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 26 of 27 | KAP113 | |||

39562D | 001 | Lecture | 11:00-11:50am | MWF | 48 of 49 | Nathaniel Emerson | MHPB7B | ||

39563D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | 24 of 24 | KAP134 | |||

39564D | 001 | Discussion | 6:00-6:50pm | Tue, Thu | 24 of 25 | KAP134 | |||

39565D | 001 | Lecture | 11:00-11:50am | MWF | 46 of 50 | Gary Rosen | CPA102 | ||

39566D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 24 | GFS220 | |||

39567D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 26 | GFS220 | |||

39568D | 001 | Lecture | 12:00-12:50pm | MWF | 49 of 49 | Gary Rosen | CPA100 | ||

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

39570D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 25 of 25 | GFS108 | |||

39574D | 001 | Lecture | 1:00-1:50pm | MWF | 44 of 52 | David Crombecque | CPA102 | ||

39575D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 18 of 26 | THHB9 | |||

39576D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 26 of 26 | THHB9 |

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 | 20 of 49 | Guillaume Dreyer, Paul Tokorcheck,Ramtin Sheikhhassani | KAP146 | PDF (103599 KB) | |

39581D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 9 of 24 | GFS108 | |||

39582D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 11 of 25 | GFS108 | |||

39583D | 001 | Lecture | 11:00-11:50am | MWF | 47 of 49 | Takahiro Sakai | GFS101 | ||

39584D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 22 of 24 | GFS221 | |||

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

39586D | 001 | Lecture | 12:00-12:50pm | MWF | 9 of 24 | Guillaume Dreyer, Paul Tokorcheck,Gary Rosen | WPH103 | PDF (103599 KB) | |

39587D | 001 | Discussion | 10:00-10:50am | Tue, Thu | Canceled | ||||

39588D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 8 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 | 57 of 60 | Ramtin Sheikhhassani | THH116 | PDF (202615 KB) | |

39599D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 26 of 31 | KAP147 | |||

39600D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 31 of 31 | KAP147 | |||

39602D | 001 | Lecture | 12:00-12:50pm | MWF | 30 of 52 | Robert Sacker | KAP414 | PDF (101567 KB) | |

39603D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 13 of 26 | GFS105 | |||

39604D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 17 of 26 | GFS105 | |||

39606D | 001 | Lecture | 1:00-1:50pm | MWF | 55 of 57 | Ramtin Sheikhhassani | SOSB4 | PDF (202615 KB) | |

39607D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 29 of 29 | KAP140 | |||

39608D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 26 of 28 | KAP140 |

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 | 24 of 40 | Paul Tokorcheck | THH118 | PDF (110944 KB) | |

39611D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 9 of 20 | CPA207 | |||

39612D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 15 of 20 | CPA157 |

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 and discussion

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

39615D | 001 | Lecture | 1:00-1:50pm | MWF | 16 of 26 | Guillaume Dreyer, Steven Heilman | WPH102 | ||

39616D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 16 of 26 | 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 | 6:30-7:45pm | Wednesday | 5 of 20 | Richard Arratia | KAP414 |

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 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 | 48 of 49 | Sergey Lototsky | THH116 | ||

39626D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 24 | GFS104 | |||

39627D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 26 of 26 | GFS104 | |||

39629D | 001 | Lecture | 10:00-10:50am | MWF | 47 of 50 | Evgeni Dimitrov | CPA156 | ||

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

39631D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 27 | GFS108 | |||

39632D | 001 | Lecture | 11:00-11:50am | MWF | 47 of 49 | Joshua Swanson | SOSB44 | ||

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

39634D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 23 of 25 | GFS104 | |||

39621D | 001 | Lecture | 12:00-12:50pm | MWF | 43 of 49 | Joshua Swanson | CPA102 | ||

39622D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 20 of 24 | GFS109 | |||

39623D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 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 and 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 | 25 of 49 | Richard Arratia | THH114 | ||

39636D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 9 of 24 | KAP148 | |||

39637D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 16 of 25 | KAP148 | |||

39638D | 001 | Lecture | 1:00-1:50pm | MWF | 45 of 49 | Ricardo Mancera | KAP156 | ||

39639D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 18 of 26 | KAP138 | |||

39640D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 27 of 27 | KAP138 |

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

**Prerequisite:**1 from (MATH 290 or MATH 430 or MATH 432)**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 | 9:00-9:50am | MWF | 22 of 35 | Trevor Leslie | THH210 | PDF (213585 KB) | |

39646D | 001 | Discussion | 4:00-5:50pm | Thursday | 22 of 35 | KAP148 | |||

39647D | 001 | Lecture | 11:00-11:50am | MWF | 12 of 35 | Nicolai Haydn | KAP148 | ||

39648D | 001 | Discussion | 9:00-10:50am | Tuesday | 12 of 35 | 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 | 36 of 40 | Fedor Malikov | KAP163 | ||

39651D | 001 | Lecture | 12:00-12:50pm | MWF | 39 of 41 | Masoud Zargar | THH116 |

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 and one discussion

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

39673D | 001 | Lecture | 12:00-12:50pm | MWF | 35 of 49 | Sergey Lototsky | WPHB27 | ||

39674D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 17 of 24 | KAP141 | |||

39675D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 18 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 | Canceled | ||||

39692D | 001 | Discussion | 4:00-4:50pm | Tue, Thu | Canceled | ||||

39693D | 001 | Discussion | 5:00-5:50pm | Tue, Thu | Canceled |

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 | 36 of 40 | Stanislav Minsker | KAP163 | PDF (146126 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 and 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 | 44 of 49 | Steven Heilman | CPA156 | PDF (94269 KB) | |

39680D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 19 of 24 | CPA205 | |||

39681D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 25 of 27 | CPA151 | |||

39682D | 001 | Lecture | 2:00-2:50pm | MWF | 45 of 49 | Cymra Haskell | KAP146 | ||

39683D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 21 of 25 | KAP166 | |||

39684D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 26 | KAP166 |

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 and discussion

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

39685D | 001 | Lecture | 1:00-1:50pm | MWF | 14 of 30 | Chunming Wang | KAP147 | PDF (164432 KB) | |

39686D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 14 of 30 | 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 | 3 of 20 | Eric Friedlander, Amy Yung | 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 | 34 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 | Ken Alexander | 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 | 3 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 | 9 of 20 | M. Susan Montgomery | 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 | 1:05-2:50pm | Tuesday | 36 of 45 | Donald Barkauskas | MCH249 | ||

41101D | 046 | Lab | 11:00-12:40pm | Tuesday | 10 of 45 | Donald Barkauskas | MCH156 | ||

41108D | 046 | Lab | 3:05-4:50pm | Tuesday | 26 of 45 | Donald Barkauskas | MCH249 |

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 | 38 of 38 | Jin Piao | HMR100 | ||

41079D | 046 | Lab | 2:30-4:30pm | Tuesday | 38 of 38 | Jin Piao | HMR100 |

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 | 19 of 35 | Yu Deng | KAP148 |

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 | 20 of 40 | Jin Ma | SGM226 |

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 | 2:00-2:50pm | MWF | 12 of 25 | Jason Fulman | GFS109 |

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 | 10 of 20 | Harold Williams | 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 | 12 of 30 | Dmitrii Ostrovskii | KAP140 | PDF (112296 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 | 1:00-1:50pm | MWF | 14 of 30 | Stanislav Minsker | CPA210 | PDF (140955 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 |
---|---|---|---|---|---|---|---|---|---|

39753R | 001 | Lecture | 12:00-12:50pm | MWF | 19 of 21 | Guillermo Reyes Souto | 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 | 6 of 20 | Robert Sacker | KAP165 | PDF (90545 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 | 4:45-6:00pm | Mon, Wed | 7 of 35 | Robert Guralnick | KAP414 |

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

**Crosslist:**This course is offered by the QBIO department but may qualify for major credit in MATH. To register, enroll in QBIO 577.

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

12956D | 001 | Lecture | 2:00-3:20pm | Tuesday | 17 of 19 | Adam MacLean,Geoffrey Fudenberg | RRI421 | PDF (421787 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 | 3 of 20 | Remigijus Mikulevicius | 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 | 4 of 20 | Eric Friedlander | OFFICE | ||

39776D | 001 | 1.0 | Lecture | TBA | TBA | 13 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 | 3 of 10 | OFFICE |

Part-time or full-time, practical work experience in the students field of study. The internship must be located at an off-campus facility. Students are individually supervised by faculty. May not be taken until the student has completed at least one semester of enrollment in the graduate program with a cumulative 3.0 GPA.

**Restriction:**Registration open to the following class level(s): Doctoral Student, Master Student

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

39786D | 001 | 1.0 | Lecture | TBA | TBA | 2 of 10 | Eric Friedlander | 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 |
---|---|---|---|---|---|---|---|---|---|---|

Topology | ||||||||||

39783R | 001 | 3.0 | Lecture | 1:00-2:30pm | Mon, Wed | 11 of 15 | Sheel Ganatra | |||

Combinatorics: Discrete Geometry and Statistical Mechanics | ||||||||||

39785R | 001 | 3.0 | Lecture | 2:00-3:30pm | Wed, Fri | 4 of 20 | Greta Panova | KAP427 | PDF (165334 KB) |

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

39787R | 001 | Lecture | 10:00-10:50am | MWF | 3 of 20 | Chunming Wang | KAP134 | PDF (247552 KB) |

Introduction to both classical and modern aspects of algebraic geometry. Topics include aspects of commutative algebra, algebraic curves, algebraic varieties and schemes, and sheaf cohomology.

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

39788R | 001 | Lecture | 1:00-2:30pm | Mon, Wed | 15 of 20 | Aravind Asok | KAP245 |

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

39789R | 001 | Lecture | TBA | TBA | 7 of 20 | Igor Kukavica | OFFICE |

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

39806D | 001 | Lecture | TBA | TBA | 0 of 10 | OFFICE |

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

39807R | 001 | Lecture | TBA | TBA | 12 of 15 | Aaron Lauda | 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 | 13 of 20 | Eric Friedlander, Amy Yung | OFFICE |

Credit on acceptance of dissertation.

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

39815D | 001 | Lecture | TBA | TBA | 3 of 10 | OFFICE |