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## Mathematics

## Mathematics **(MATH)**

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

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

39400R | 054 | Lecture-Discussion | 10:30-12:20pm | MTuWThF | 14 of 25 | Cindy Blois | KAP134 |

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.

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

39410R | 054 | Lecture-Discussion | 1:00-2:50pm | MTuWThF | 13 of 25 | Paul Tokorcheck | KAP159 |

Matrices, systems of linear equations, vector spaces, linear transformations, eigenvalues, systems of linear differential equations. Prerequisites: MATH 126 or MATH 127.

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

39425R | 054 | Lecture-Discussion | 10:30-12:20pm | MTuWThF | 13 of 25 | Cymra Haskell | VHE217 |

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

**Prerequisite:**1 from (MATH 126 or MATH 127)**General Education:**This course satisfies the university's general education requirement.

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

39430R | 054 | Lecture-Discussion | 1:00-2:50pm | MTuWThF | 15 of 25 | Alexander Neshitov | KAP113 |

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.

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

39435R | 054 | Lecture-Discussion | 10:30-12:20pm | MTuWThF | 6 of 25 | Ricardo Mancera | KAP113 |

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.

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

39437R | 054 | Lecture | 10:00-12:50pm | MWF | 9 of 20 | Guillermo Reyes Souto | KAP138 |

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

39438D | 054 | Lecture | TBA | TBA | 1 of 10 | 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 |
---|---|---|---|---|---|---|---|---|---|

39440R | 054 | Lecture | 9:00-11:50am | MWF | 21 of 35 | Gary Rosen | KAP145 |

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

41198D | 407 | Lecture | TBA | TBA | 16 of 25 | Allen Heller, Amanda Goodrich | ONLINE | ||

41194D | 407 | Lab | TBA | TBA | 16 of 25 | Allen Heller, Amanda Goodrich | 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 |
---|---|---|---|---|---|---|---|---|---|

41199D | 407 | Lecture | TBA | TBA | 9 of 25 | Sue Ingles | ONLINE | ||

41201D | 407 | Lab | TBA | TBA | 9 of 25 | Sue Ingles | ONLINE |

Credit on acceptance of thesis.

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

39470D | 054 | Lecture | TBA | TBA | 0 of 20 | 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 |
---|---|---|---|---|---|---|---|---|---|---|

39481D | 059 | 1.0 | Lecture | TBA | TBA | 7 of 10 | OFFICE |

Theoretic and applied topics of current interest in discrete and continuous time stochastic processes and in stochastic differential equations.

**Recommended preparation:**a graduate level course in probability theory or stochastic processes.Section | Session | Type | Time | Days | Registered | Instructor | Location | Syllabus | Info |
---|---|---|---|---|---|---|---|---|---|

39482R | 054 | Lecture | 9:30-12:30pm | Mon, Wed | 10 of 30 | Sergey Lototsky | KAP245 |

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

39484R | 054 | Lecture | TBA | TBA | 35 of 40 | Igor Kukavica | 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 |
---|---|---|---|---|---|---|---|---|---|

39500D | 054 | Lecture | TBA | TBA | 1 of 20 | OFFICE |

Credit on acceptance of dissertation.

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

39502D | 054 | Lecture | TBA | TBA | 2 of 20 | OFFICE |