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## Mathematics

## Mathematics **(MATH)**

- http://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.

**Prerequisite:**MATH 117

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

39400R | 054 | Lecture-Discussion | 10:30-12:20pm | MTuWThF | 16 of 30 | Cymra Haskell | KAP148 |

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

**Prerequisite:**MATH 125

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

39410R | 054 | Lecture-Discussion | 1:00-2:50pm | MTuWThF | 12 of 25 | David Crombecque | KAP165 |

Basic probability, discrete and continuous distributions, expectation and variance, independence. Sampling, estimation, confidence intervals, hypothesis testing.

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

39420R | 054 | Lecture-Discussion | 10:30-12:20pm | MTuWThF | Canceled |

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

**Prerequisite:**MATH 126

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

39426R | 054 | Lecture-Discussion | 1:00-2:50pm | MTuWThF | 7 of 25 | Nathaniel Emerson | KAP167 |

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

**Prerequisite:**MATH 226

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

39428R | 054 | Lecture-Discussion | 10:30-12:20pm | MTuWThF | 9 of 25 | Neelesh Tiruviluamala | KAP167 |

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 | 3 of 10 | Francis Bonahon,Ken Alexander | 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 | 9:00-11:45am | Tue, Thu | 15 of 30 | Gary Rosen | KAP414 |

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 | 15 of 35 | Roberta McKean-Cowdin | ONLINE | ||

41194D | 407 | Lab | TBA | TBA | 15 of 25 | Shubha Kumar | 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 | 12 of 25 | Sue Ingles | ONLINE | ||

41200D | 407 | Lecture | TBA | TBA | Canceled | Sue Ingles | TBA | ||

41201D | 407 | Lab | TBA | TBA | 12 of 25 | ONLINE | |||

41202D | 407 | Lab | TBA | TBA | 0 of 25 | 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 |
---|---|---|---|---|---|---|---|---|---|

39450R | 054 | Lecture | 11:00-12:50pm | TuWTh | 29 of 40 | Ricardo Mancera | KAP163 | ||

39451R | 054 | Discussion | TBA | TBA | 19 of 20 | OFFICE | |||

39452R | 054 | Discussion | TBA | TBA | 10 of 20 | TBA |

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

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

39460D | 054 | Lecture | TBA | TBA | 0 of 20 | Francis Bonahon | OFFICE |

Credit on acceptance of thesis.

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

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

Course content will vary with professor and academic year offered. It will include topics of current interest in both linear and nonlinear functional analysis and their applications.

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

39488R | 054 | Lecture | TBA | TBA | 12 of 20 | Sergey Lototsky | 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 | Francis Bonahon,Ken Alexander | OFFICE |

Credit on acceptance of dissertation.

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

39502D | 054 | Lecture | TBA | TBA | 1 of 20 | OFFICE |