Class

lecture | tutorial | |

Time | Wednesday/Friday | Thursday |

13:30 - 14:50 | 20:00 - 20:50 | |

Venue | 2502 | 2406 |

Instructor | YAN Min | |

Office | 3487 | |

Phone | 23587442 |

Textbook

My own lecture note is posted on-line. No textbook from the market will be used.

Topics

The course will assume the students have taken Math1023/1024 and will concentrate on the theoretical aspects of the materials covered in the earlier courses.

Limit and Continuity (4 weeks)

limit of sequence, limit of function, continuity

Differentiation (3 weeks)

linear approximation, derivative, high order derivative, Taylor expansion, convexity

Integration (3 weeks)

Riemann integration, fundamental theorem of calculus, Riemann-Stieltjes integration, bounded variation

Series (3 weeks)

series of numbers, comparison test, conditional convergence, uniform convergence, power series

Homework

No hard copies of the homework will be distributed. Please check my web page for the latest assignments. Usually you have one week to do the homework. The answer will be put on my web page after the homework is collected. *Absolutely no late homework will be accepted*.

Exam and Grade

There will be one midterm and one final exam, accounting for 30% and 50% respectively of the final grade. The homework is counted as 20% of the final grade.

Note

The syllabus is subject to change as circumstances arise.

As my usual practice, I try to make the homework as light as possible. However, doing homework alone is definitely not sufficient for really understanding the subject. You should do as many additional problems as possible.