as of 8/20/2019 |

**ANALYSIS** |

Country - Partner Institution - Programs: | Australia - University of Sydney - 'Australian Universities' |

UC Course Subject | Mathematics |

Number & Suffix: | 114 |

Full UC Title: | ANALYSIS |

Transcript Title: | ANALYSIS |

UC QTR Units - Division: | 6.0 - Upper Division |

Course Description: | This course explores the foundations of calculus; real number system; limiting behaviour of sequences and series of real and complex numbers; and study of functions defined as limits and to the notion of uniform convergence. This course covers Taylor expansions; the Cauchy Integral Theorem; Fourier theory; Parseval's identity; pointwise convergence theorems and applications; Bernoulli numbers and polynomials; the Euler MacLaurin formula and applications; the gamma function and the Riemann zeta function; the foundations of analysis; and limits from the point of view of topology. |

Language of Instruction: | English |

Partner Title: | ANALYSIS |

Partner University Department: | Mathematics |

Partner University Course Number: | MATH3068 |