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## Mathematics

## Mathematics **(MATH)**

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

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

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

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

39400D | 001 | Lecture | 9:00-9:50am | MWF | 41 of 49 | Cindy Blois | SOSB44 | ||

39401D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 18 of 25 | GFS108 | |||

39402D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 25 | GFS108 |

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

39981D | 001 | Lecture | 9:00-9:50am | MWF | 9 of 49 | Paul Tokorcheck | VKC152 | ||

39982D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 3 of 25 | GFS109 | |||

39983D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 6 of 24 | GFS109 | |||

39985D | 001 | Lecture | 10:00-10:50am | MWF | 30 of 49 | Guillaume Dreyer | SOSB44 | ||

39986D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 14 of 25 | GFS108 | |||

39987D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 16 of 24 | GFS108 | |||

39989D | 001 | Lecture | 1:00-1:50pm | MWF | 40 of 49 | Guillaume Dreyer | MHP105 | ||

39990D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 18 of 25 | GFS108 | |||

39991D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 22 of 24 | GFS108 |

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

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

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

39410D | 001 | Lecture | 12:00-12:50pm | MWF | 41 of 49 | Sami Assaf | GFS118 | PDF (120645 KB) | |

39411D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 20 of 25 | KAP134 | |||

39412D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 21 of 25 | KAP134 |

Derivatives; extrema. Definite integral; fundamental theorem of calculus. Extrema and definite integrals for functions of several variables. Not available for credit toward a degree in mathematics. Prerequisites: MATH 108 or MATH 117 or placement exam in MATH.

**Prerequisite:**1 from (MATH 108 or MATH 117)**General Education:**This course satisfies the university's general education requirement.**Note:**Register for one lecture and one discussion listed immediately following that lecture

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

39490D | 001 | Lecture | 9:00-9:50am | MWF | 38 of 49 | Andrea Appel | VKC102 | ||

39491D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 21 of 26 | GFS213 | |||

39492D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 17 of 24 | GFS213 | |||

39414D | 001 | Lecture | 10:00-10:50am | MWF | 22 of 49 | Andrea Appel | VKC152 | ||

39415D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 13 of 25 | GFS213 | |||

39416D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 9 of 24 | GFS213 | |||

39406D | 001 | Lecture | 10:00-10:50am | MWF | 39 of 49 | Alona Kryshchenko | MHP105 | ||

39407D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 21 of 25 | GFS213 | |||

39408D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 18 of 24 | GFS213 | |||

39418D | 001 | Lecture | 11:00-11:50am | MWF | 26 of 49 | Paul Tokorcheck | KAP146 | ||

39419D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 6 of 25 | GFS220 | |||

39420D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 20 of 24 | GFS220 | |||

39422D | 001 | Lecture | 12:00-12:50pm | MWF | 22 of 49 | Robert Guralnick | VKC102 | ||

39423D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 18 of 25 | GFS213 | |||

39424D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 4 of 24 | GFS213 | |||

39426D | 001 | Lecture | 1:00-1:50pm | MWF | 44 of 49 | Paul Tokorcheck | THH114 | ||

39427D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 24 of 25 | GFS220 | |||

39428D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 20 of 24 | GFS220 | |||

39430D | 001 | Lecture | 2:00-3:20pm | Mon, Wed | 46 of 49 | Alona Kryshchenko | ZHS163 | ||

39431D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 25 | GFS220 | |||

39432D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 26 | GFS220 |

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

39434D | 001 | Lecture | 9:00-9:50am | MWF | 48 of 49 | Neelesh Tiruviluamala | VKC100 | ||

39435D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 25 of 25 | VHE206 | |||

39436D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 24 | VHE206 | |||

39437D | 001 | Lecture | 10:00-10:50am | MWF | 47 of 49 | Neelesh Tiruviluamala | GFS101 | ||

39438D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | KAP165 | |||

39439D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 24 | KAP165 | |||

39440D | 001 | Lecture | 11:00-11:50am | MWF | 44 of 49 | Leonid Piterbarg, Arnold Deal | MHP105 | ||

39441D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 24 of 26 | VHE214 | |||

39442D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 20 of 24 | VHE214 | |||

39443D | 001 | Lecture | 11:00-11:50am | MWF | 15 of 49 | Aravind Asok | VKC152 | ||

39444D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 3 of 25 | VHE214 | |||

39445D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 12 of 24 | VHE214 | |||

39446D | 001 | Lecture | 12:00-12:50pm | MWF | 40 of 49 | Leonid Piterbarg, Arnold Deal | ZHS163 | ||

39447D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 27 | KAP167 | |||

39448D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 16 of 24 | KAP167 | |||

39450D | 001 | Lecture | 1:00-1:50pm | MWF | 27 of 49 | Guangbin Zhuang | KAP146 | ||

39451D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 10 of 25 | KAP167 | |||

39452D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 17 of 24 | KAP167 | |||

39454D | 001 | Lecture | 2:00-2:50pm | MWF | Canceled | VKC100 | |||

39455D | 001 | Discussion | 10:00-10:50am | Tue, Thu | Canceled | GFS109 | |||

39456D | 001 | Discussion | 11:00-11:50am | Tue, Thu | Canceled | GFS109 |

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

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

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

39460D | 001 | Lecture | 9:00-9:50am | MWF | 37 of 49 | Cymra Haskell | THH114 | ||

39461D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 18 of 25 | KAP113 | |||

39462D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 19 of 24 | KAP113 | |||

39464D | 001 | Lecture | 9:00-9:50am | MWF | 47 of 49 | David Crombecque | THH116 | ||

39465D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 23 of 25 | KAP113 | |||

39466D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 24 | KAP113 | |||

39468D | 001 | Lecture | 10:00-10:50am | MWF | 43 of 49 | Dominic Searles | VKC100 | ||

39469D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 19 of 25 | KAP113 | |||

39470D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | KAP113 | |||

39472D | 001 | Lecture | 11:00-11:50am | MWF | 45 of 49 | David Crombecque | SOSB46 | ||

39473D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 23 of 27 | KAP113 | |||

39474D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 22 of 24 | KAP113 | |||

39476D | 001 | Lecture | 12:00-12:50pm | MWF | 44 of 49 | Nathaniel Emerson | GFS101 | ||

39477D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 25 | KAP134 | |||

39478D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 24 | KAP134 | |||

39480D | 001 | Lecture | 1:00-1:50pm | MWF | 31 of 49 | Cymra Haskell | KAP156 | ||

39481D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 20 of 25 | KAP134 | |||

39482D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 11 of 24 | KAP134 |

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

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

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

39484D | 001 | Lecture | 10:00-10:50am | MWF | 8 of 49 | Yuncheng Lin | KAP146 | ||

39485D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 6 of 25 | KAP134 | |||

39486D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 2 of 24 | KAP134 | |||

39487D | 001 | Lecture | 11:00-11:50am | MWF | 37 of 49 | Nathaniel Emerson | VKC102 | ||

39488D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 14 of 25 | KAP141 | |||

39489D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 24 | 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 |
---|---|---|---|---|---|---|---|---|---|

39505D | 001 | Lecture | 11:00-11:50am | MWF | 48 of 60 | Alona Kryshchenko | GFS101 |

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

39526D | 001 | Lecture | 10:00-10:50am | MWF | 38 of 49 | Ricardo Mancera | LVL16 | ||

39527D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 22 of 25 | GFS105 | |||

39528D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 16 of 24 | GFS113 | |||

39530D | 001 | Lecture | 11:00-11:50am | MWF | 20 of 49 | Charles Lanski | KAP414 | ||

39531D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 8 of 25 | GFS113 | |||

39532D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 12 of 24 | GFS113 | |||

39534D | 001 | Lecture | 12:00-12:50pm | MWF | 47 of 49 | Sheldon Kamienny | VKC152 | ||

39535D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 26 | KAP141 | |||

39536D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 24 of 24 | KAP141 | |||

39550D | 001 | Lecture | 1:00-1:50pm | MWF | 45 of 49 | Ricardo Mancera | ZHS163 | ||

39551D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 22 of 25 | KAP141 | |||

39552D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 23 of 24 | KAP141 | |||

39554D | 001 | Lecture | 2:00-2:50pm | MWF | 44 of 49 | Brad Drew | SOSB44 | PDF (108985 KB) | |

39555D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 24 of 27 | KAP141 | |||

39556D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 20 of 24 | KAP141 | |||

39557D | 001 | Lecture | 1:00-1:50pm | MWF | 43 of 49 | Brian Ryals | VKC102 | ||

39558D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 26 of 27 | VHE214 | |||

39559D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 17 of 24 | THH112 |

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

39575D | 001 | Lecture | 9:00-9:50am | MWF | 34 of 49 | Jeremy Toulisse | ZHS163 | ||

39576D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 11 of 25 | KAP159 | |||

39577D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 24 | KAP159 | |||

39579D | 001 | Lecture | 10:00-10:50am | MWF | 42 of 49 | Guillermo Reyes Souto | WPHB28 | ||

39580D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | KAP159 | |||

39581D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 19 of 24 | KAP159 | |||

39583D | 001 | Lecture | 11:00-11:50am | MWF | 47 of 49 | Cindy Blois | SOSB44 | ||

39584D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | KAP159 | |||

39585D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 25 | KAP159 | |||

39587D | 001 | Lecture | 12:00-12:50pm | MWF | 46 of 49 | Cindy Blois | GFS116 | ||

39588D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 25 | KAP165 | |||

39589D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 24 of 25 | KAP165 | |||

39591D | 001 | Lecture | 1:00-1:50pm | MWF | 42 of 49 | Guillermo Reyes Souto | THH210 | ||

39592D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 26 of 28 | KAP159 | |||

39593D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 16 of 24 | KAP159 |

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

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

39540D | 001 | Lecture | 11:00-11:50am | MWF | Canceled | ||||

39541D | 001 | Discussion | 2:00-2:50pm | 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 |
---|---|---|---|---|---|---|---|---|---|

39595D | 001 | Lecture | 12:00-12:50pm | MWF | 23 of 49 | David Crombecque | WPH106 | ||

39596D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 18 of 25 | KAP165 | |||

39597D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 5 of 24 | KAP165 | |||

39598D | 001 | Lecture | 1:00-1:50pm | MWF | 35 of 49 | Takahiro Sakai | GFS118 | ||

39599D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 21 of 25 | KAP165 | |||

39600D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 14 of 24 | KAP165 |

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

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

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

39601D | 001 | Lecture | 9:00-9:50am | MWF | 43 of 49 | Guillaume Dreyer | SOSB46 | ||

39602D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 23 of 27 | KAP166 | |||

39603D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 20 of 24 | KAP166 | |||

39605D | 001 | Lecture | 10:00-10:50am | MWF | 44 of 49 | Alexander Soibelman | VKC102 | ||

39606D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 22 of 26 | KAP166 | |||

39607D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 22 of 24 | KAP166 | |||

39609D | 001 | Lecture | 11:00-11:50am | MWF | 46 of 49 | Peter Baxendale | VKC100 | PDF (16719 KB) | |

39610D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 23 of 25 | KAP166 | |||

39611D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 23 of 24 | KAP166 | |||

39613D | 001 | Lecture | 12:00-12:50pm | MWF | 48 of 49 | Takahiro Sakai | THH114 | ||

39614D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 25 of 25 | KAP167 | |||

39615D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 23 of 24 | KAP167 | |||

39617D | 001 | Lecture | 2:00-2:50pm | MWF | 47 of 49 | Leonid Piterbarg | VKC100 | ||

39618D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 23 of 25 | KAP166 | |||

39619D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 24 of 24 | KAP166 | |||

39641D | 001 | Lecture | 10:00-10:50am | MWF | 10 of 49 | Guangbin Zhuang | GFS118 | ||

39642D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 8 of 25 | GFS109 | |||

39643D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 2 of 24 | GFS109 |

Confidence intervals, hypothesis testing, p-values, likelihood ratio, nonparametrics, descriptive statistics, regression, multiple linear regression, experimental design, analysis of variance, categorical data, chi-squared tests, Bayesian statistics.

**Prerequisite:**MATH 307**Note:**Register for lecture and discussion

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

39620D | 001 | Lecture | 2:00-3:20pm | Mon, Wed | 11 of 20 | Jay Bartroff | KAP141 | ||

39621D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 11 of 20 | HED103 |

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

39623D | 001 | Lecture | 6:00-7:50pm | Monday | 2 of 15 | Richard Arratia | KAP427 |

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 | 12:00-12:50pm | MWF | 34 of 40 | Richard Arratia | KAP144 | ||

39626D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 19 of 20 | VHE206 | |||

39627D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 15 of 20 | VHE206 | |||

39628D | 001 | Lecture | 1:00-1:50pm | MWF | 38 of 41 | Jason Fulman | KAP144 | ||

39629D | 001 | Discussion | 10:00-10:50am | Tue, Thu | 16 of 20 | VHE206 | |||

39630D | 001 | Discussion | 11:00-11:50am | Tue, Thu | 22 of 22 | VHE206 |

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

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

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

39631D | 001 | Lecture | 10:00-10:50am | MWF | 54 of 55 | Tatiana Tatarinova | THH114 | ||

39632D | 001 | Discussion | 2:00-2:50pm | Tue, Thu | 28 of 28 | GFS108 | |||

39633D | 001 | Discussion | 3:00-3:50pm | Tue, Thu | 26 of 27 | GFS108 | |||

39635D | 001 | Lecture | 12:00-12:50pm | MWF | 41 of 49 | Sergey Lototsky | THH210 | ||

39636D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 20 of 25 | THHB10 | |||

39637D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 21 of 24 | THHB10 |

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

39639D | 001 | Lecture | 1:00-1:50pm | MWF | 24 of 25 | Sami Assaf | KAP167 | PDF (107065 KB) | |

39640D | 001 | Discussion | 2:00-3:50pm | Thursday | 24 of 26 | 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.Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39645D | 001 | Lecture | 10:00-10:50am | MWF | 9 of 40 | Charles Lanski | KAP140 | ||

39646D | 001 | Discussion | 2:00-3:50pm | Tuesday | 9 of 40 | VKC201 |

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

**Prerequisite:**MATH 425A

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

39647D | 001 | Lecture | 10:00-10:50am | MWF | 11 of 20 | Ken Alexander | KAP138 |

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

39648D | 001 | Lecture | 11:00-11:50am | MWF | 35 of 41 | Sheldon Kamienny | VKC101 |

Mathematical induction, counting principles, arrangements, selections, binomial coefficients, generating functions, recurrence relations, inclusion-exclusion, symmetric groups, graphs, Euler and Hamiltonian circuits, trees, graph algorithms; applications. Prerequisite: MATH 225 or MATH 226 or MATH 227.

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

39651D | 001 | Lecture | 2:00-3:15pm | Tue, Thu | 36 of 40 | Sol Golomb, Eric Friedlander | ZHS163 |

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

39661D | 001 | Lecture | 12:00-12:50pm | MWF | 40 of 41 | Susan Friedlander | KAP414 | ||

39662D | 001 | Discussion | 8:00-8:50am | Tue, Thu | 20 of 20 | GFS114 | |||

39663D | 001 | Discussion | 9:00-9:50am | Tue, Thu | 20 of 21 | GFS114 | |||

39665D | 001 | Lecture | 1:00-1:50pm | MWF | 13 of 40 | James-Michael Leahy | GFS101 | ||

39666D | 001 | Discussion | 12:00-12:50pm | Tue, Thu | 3 of 20 | GFS113 | |||

39667D | 001 | Discussion | 1:00-1:50pm | Tue, Thu | 10 of 20 | GFS113 |

Evolution of mathematical ideas and techniques as seen through a study of the contributions of eminent mathematicians to the formulation and solution of celebrated problems.

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

39670D | 001 | Lecture | 9:00-9:50am | MWF | 13 of 25 | Nathaniel Emerson | KAP159 |

Nonlinear models, bifurcations, discrete and continuous dynamics, stability, dissipative and reversible systems, Poincare maps, Lyapunov exponents, fractal dimension. Applications stressed: Economics, Engineering, Biology, Physics. Prerequisites: MATH 225 or MATH 245.

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

39674D | 001 | Lecture | 1:00-1:50pm | MWF | 6 of 20 | Robert Sacker | KAP165 | PDF (89457 KB) |

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

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

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

39680D | 001 | Lecture | 11:00-11:50am | MWF | 16 of 25 | Robert Guralnick | KAP148 |

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

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

39682D | 001 | Lecture | 1:00-1:50pm | MWF | 15 of 20 | Neelesh Tiruviluamala | KAP141 |

Individual research and readings. Not available for graduate credit.

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

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

39687D | 001 | 2.0-8.0 | Lecture | TBA | TBA | 9 of 10 | Eric Friedlander | OFFICE |

Lectures on advanced material not covered in regularly scheduled courses. No more than two registrations allowed. Prerequisite: Departmental Approval.

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

Mathematics of Machine Learning | ||||||||||

39688D | 001 | 4.0 | Lecture | 11:00-11:50am | MWF | 12 of 15 | Guillermo Reyes Souto | HED103 |

Lectures directed to mathematics graduate students by faculty of the department and by outside speakers. Problem solving workshops. Graded CR/NC.

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

39692R | 001 | Lecture | TBA | TBA | 20 of 25 | Jay Bartroff | OFFICE |

Linear equations and matrices, Gauss elimination, error estimates, iteration techniques; contractive mappings, Newton's method; matrix eigenvalue problems; least-squares approximation, Newton-Cotes and Gaussian quadratures; finite difference methods. Prerequisite: linear algebra and calculus.

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

39694R | 001 | Lecture | 12:00-12:50pm | MWF | 22 of 35 | Chunming Wang | KAP147 |

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

**Prerequisite:**MATH 502A

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

39698R | 001 | Lecture | 10:00-10:50am | MWF | 6 of 20 | Chunming Wang | KAP134 |

Markov processes in discrete or continuous time; renewal processes; martingales; brownian motion and diffusion theory; random walks, inventory models, population growth, queuing models, shot noise.

**Prerequisite:**MATH 505A

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

39708R | 001 | Lecture | 1:00-1:50pm | MWF | 26 of 26 | Gary Rosen | KAP138 |

a: Probability spaces; distributions and characteristic functions; laws of large numbers, central limit problems; stable and infinitely divisible laws; conditional distributions. Prerequisite: 525a or 570. b: Dependence, martingales, ergodic theorems, second-order random functions, harmonic analysis, Markov processes.

**Prerequisite:**MATH 507A

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

39716R | 001 | Lecture | 12:30-1:45pm | Wed, Fri | 10 of 20 | Jianfeng Zhang | KAP427 |

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

**Prerequisite:**MATH 507A

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

39718R | 001 | Lecture | 2:00-2:50pm | MWF | 2 of 20 | Remigijus Mikulevicius | GFS213 |

B: Commutative Algebra: Integrality, Hilbert Basis theorem, Hilbert Nullstellensatz; Modules: modules over PID's, chain conditions, tensor products; Noncommutative Rings: Jacobson radical, Artin-Wedderburn theorem, Maschke's theorem.

**Prerequisite:**MATH 510A

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

39724R | 001 | Lecture | 12:00-12:50pm | MWF | 8 of 20 | Fedor Malikov | KAP138 |

Major parametric and non-parametric statistical tools used in biomedical research, computer packages including SAS. Includes laboratory. Lecture, 2 hours; laboratory, 2 hours.

**Prerequisite:**PM 510**Crosslist:**This course is offered by the PM department but may qualify for major credit in MATH. To register, enroll in PM 511a.

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

41057D | 046 | Lecture | 1:00-2:50pm | Tuesday | 53 of 72 | William Gauderman | SSB115AB | ||

41084D | 407 | Lecture | TBA | TBA | 18 of 20 | Meredith Franklin | ONLINE | ||

41113D | 046 | Lecture-Lab | 10:00-2:00pm | Tuesday | 0 of 2 | TBA | |||

41058D | 046 | Lab | 11:00-12:50pm | Tuesday | 16 of 40 | William Gauderman | SSB117 | ||

41059D | 046 | Lab | 3:00-4:50pm | Tuesday | 37 of 55 | William Gauderman | SSB115AB | ||

41085D | 407 | Lab | TBA | TBA | 18 of 20 | Meredith Franklin | ONLINE |

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

**Prerequisite:**PM 510**Crosslist:**This course is offered by the PM department but may qualify for major credit in MATH. To register, enroll in PM 511b.

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

41063D | 046 | Lecture | 11:05-12:55pm | Friday | 21 of 40 | Wendy MacK | SSB114 | ||

41086D | 407 | Lecture | TBA | TBA | 16 of 18 | Sue Ingles | ONLINE | ||

41065D | 046 | Lab | 1:05-3:00pm | Friday | 21 of 50 | Wendy MacK | SSB114 | ||

41087D | 407 | Lab | TBA | TBA | 16 of 18 | Sue Ingles | ONLINE |

Experimental laboratory trading for financial markets using double auctions: handling statistical packages for data analysis. Practical training in virtual market environments, using financial trading system software.

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

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

39726R | 001 | Lecture | 11:00-11:50am | MWF | 41 of 45 | Ricardo Mancera | GFS118 | ||

39727R | 001 | Discussion | TBA | TBA | 18 of 20 | OFFICE | |||

39728R | 001 | Discussion | TBA | TBA | 23 of 25 | OFFICE |

Theory of analytic functions--power series and integral representations, calculus of residues, harmonic functions, normal families, approximation theorems, conformal mapping, analytical continuation.

**Prerequisite:**MATH 425B

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

39734R | 001 | Lecture | 2:00-2:50pm | MWF | 14 of 20 | Peter Baxendale | KAP164 | PDF (17999 KB) |

a: Measure and integration over abstract measure spaces, Radon-Nikodym theorem, Fubini's theorem, convergence theorems, differentiation. Prerequisite: 425ab. b: Metric spaces, contraction principle, category, Banach spaces, Riesz representation theorem, properties of Lp, Hilbert spaces, orthogonal expansions, Fourier series and transforms, convolutions. Prerequisite: 525a.

**Prerequisite:**MATH 525A

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

39740R | 001 | Lecture | 9:00-9:50am | MWF | 22 of 27 | Remigijus Mikulevicius | KAP141 |

Advanced topics in stochastic analysis, asset pricing in continuous time, stochastic control, Hamilton-Jacobi-Bellman equations, incomplete markets, American options, exotic options, term structure of interest rates. Duplicates credit in the former MATH 506.

**Prerequisite:**MATH 530a

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

39741R | 001 | Lecture | 2:00-3:15pm | Wed, Fri | 38 of 40 | Jin Ma | KAP158 |

Elementary theory of manifolds, Lie groups, homogeneous spaces, fiber bundles and connections. Riemannian manifolds, curvature and conjugate points, second fundamental form, other topics. Prerequisite: 440.

**Prerequisite:**MATH 440

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

39756R | 001 | Lecture | 11:00-11:50am | MWF | 13 of 20 | Francis Bonahon | KAP134 |

Parametric families of distributions, sufficiency. Estimation: methods of moments, maximum likelihood, unbiased estimation. Comparison of estimators, optimality, information inequality, asymptotic efficiency. EM algorithm, jacknife and bootstrap.

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

39760R | 001 | Lecture | 11:00-11:50am | MWF | 43 of 50 | Tuan Nguyen | THH114 |

Least squares estimation in the linear model, analysis of variance and covariance, F-test, multiple comparisons, multiple regression, selection of variables; introduction to experimental design. Includes laboratory. Prerequisite: MATH 225, 226 or 226H, and 208x or equivalent.

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

39766R | 001 | Lecture-Lab | 9:00-9:50am | MWF | 21 of 25 | Tuan Nguyen | KAP113 |

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

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

39769R | 001 | Lecture-Lab | 12:00-1:50pm | Wed, Fri | 30 of 45 | Stanislav Minsker | SGM601 | PDF (131997 KB) |

Existence, uniqueness and continuation of solutions, differential inequalities, linear systems, Sturm-Liouville theory, boundary value problems, Poincare-Bendixson theory, periodic solutions, perturbations, stability, fixed point techniques.

**Prerequisite:**MATH 425B

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

39795R | 001 | Lecture | 12:00-12:50pm | MWF | 4 of 20 | Robert Sacker | KAP137 | PDF (108430 KB) |

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

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

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

13577D | 001 | Lecture | 2:00-3:50pm | Tuesday | 9 of 20 | Ting Chen,Remo Rohs,Vsevolod Katritch | RRI301 | PDF (67868 KB) |

Applications of the mathematical, statistical and computational sciences to data from molecular biology. Algorithms for genomic sequence data: sequence and map assembly and alignment, RNA secondary structure, protein structure, gene-finding, and tree construction.

**Recommended preparation:**familiarity with the concepts of basic molecular biology as covered in BISC 320.**Prerequisite:**CSCI 570

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

39818R | 001 | Lecture | 11:00-12:20pm | Tue, Thu | 10 of 15 | Ting Chen,Andrew Smith,Xianghong Zhou | RRI301 | PDF (192664 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 | Units | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|---|

39834D | 001 | 1.0-12.0 | Lecture | TBA | TBA | 7 of 20 | Eric Friedlander | OFFICE | ||

39835D | 001 | 1.0 | Lecture | TBA | TBA | 5 of 20 | Ricardo Mancera | OFFICE | ||

39836D | 001 | 1.0 | Lecture | TBA | TBA | 24 of 30 | Stanislav Minsker | OFFICE |

Credit on acceptance of thesis.

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

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

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

39949R | 001 | Lecture | TBA | TBA | 6 of 20 | Eric Friedlander | OFFICE |

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

39950R | 001 | Lecture | TBA | TBA | 1 of 10 | Igor Kukavica | OFFICE |

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

39952R | 001 | Lecture | TBA | TBA | 5 of 15 | Francis Bonahon | OFFICE |

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

39951R | 001 | Lecture | TBA | TBA | 2 of 10 | Francis Bonahon | OFFICE |

Research leading to the doctorate. Maximum units which may be applied to the degree to be determined by the department. Graded CR/NC.

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

39960D | 001 | Lecture | TBA | TBA | 6 of 20 | Eric Friedlander | OFFICE |

Credit on acceptance of dissertation.

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

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