Syllabus: Advanced Calsulus (II)

1. Description:

This course is concerned with the basic theories of the analysis of sequences and functions defined on R n or a complete metric space. There are two topics that we will cover throughout the course:

1: Multidimensionall Theory: Sequences, functions, differentiablity, ingetrability on R n . 2: Abstract Theory.

2. Topic prerequisites:

Calculus.

3. Couse information:

(a) Lecture: Every Tue. and Thu. 10:10-12:00

(b) Seminar: Every Wed. 12:10-13:00

(c) Room: Math. Building 201

(d) Textbook:

• An Introduction to Analysis/ William R. Wade

• Elementary classical analysis /Jerrold E. Marsden, Michael J. Hoffman

• Principles of Mathematical Analysis /W. Rudin

(e) Teacher: Chih-Chiang Huang, E-mail: cchuang@ccu.edu.tw, Math Building 435

(f) Office hours: Wed. 13:00-15:00, Math. Building 435

4. Grading Grade (100%)= Final exam (40%)+ Midterm exam 1,2 (20%*2)+ Quiz (20%) ( Choose 5 from

6)

5. Exam Schedule

(a) Quiz1-6: In 2nd, 4th, 8th, 10th, 14th, 16th weeks.

(b) Midterm Exam1, 2: In 6th, 12th weeks

(c) Final Exam: In 18th week.