MA 2108, Fall 2001

Advanced Calculus II



Lecturer: J. Wu
Tutors: Choi Kwok Pui and and J. Wu
Office: S14, 04-07, Faculty of Science, Lower Kent Ridge Road.
Office Hours: Thursady 2-4 pm
e-mail: matwuj@nus.edu.sg
Phone: 874-4940.


Text Books:
  1. William R. Parzynski and Philip W. Zipse, Introduction to mathematical analysis, International Edition 1987, McGraw-Hill Book Company Press.
  2. G. B. Thomas, Jr. and Ross L. Finney, Calculus and analytic geometry, 9th Edition, International Student Edition, Addison-Wesley Longman Inc. Press, 1996.
  3. M. Braun, Differential equations and their applications, 3rd Edition, Applied Mathematical Sciences V. 15, Springer-Verlag, 1986.


  • Course Outline


  • Lectures: Tuesday, Friday, 2:00-3:30 pm, LT24.
    Tutorials:
    Group 1: Tuesday, 12-1, S16 05-33, J. Wu
    Group 2: Tuesday, 1-2, S16 05-33, Choi Kwok Pui
    Group 3: Thursday, 12-1, S16 05-30, J. Wu
    Group 4: Thursday, 1-2, S16 05-30, J. Wu
    Group 5: Friday, 10-11, S16 05-30, Choi Kwok Pui
    Group 6: Friday, 11-12, S16 05-30, Choi Kwok Pui
    Group 7: Friday, 4-5, S16 05-35, J. Wu
    Group 8: Friday, 9-10, S16 05-30, Choi Kwok Pui


    Exams
  • Midterm: Tuesday, September 25, 2:00-3:30, LT24
  • Final Exam:
  • CA, which includes the midterm test, participation in tutorials and classes, and etc, will be counted as 20% and the final will be counted as 80%.
  • Rules for the Exams: NO Make-up exams. During the final exam, a note sheet (two-sided up to A4 size) is allowable.


  • Lecture Notes
  • Lecture Notes, Part 1.
  • Lecture Notes, Part 2.

  • Supplement Notes
  • Supplement 1
  • Supplement 2
  • Supplement 3
  • Supplement 4
  • Supplement 5
  • Supplement 6
  • Supplement 7
  • Supplement 8
  • Supplement 9: Supplement to Section 4.6


  • Tutorials
  • Tutorial 1 and the solutions
  • Tutorial 2 and the solutions
  • Tutorial 3 and the solutions
  • Tutorial 4 and the solutions
  • Tutorial 5 and the solutions
  • Tutorial 6 and the solutions
  • Tutorial 7 and the solutions
  • Tutorial 8 and the solutions
  • Tutorial 9 and the solutions
  • Tutorial 10 and the solutions
  • Tutorial 11 and the solutions


  • Solutions to the midterm test.

    Practice Problems
  • Practice problems for Chapter One and the solutions
  • Practice problems for the midterm test and some suggested answers
  • Practice problems for Chapter Three and the solutions
  • Practice problems for the final exam and the solutions


  • Computation of Pi using Taylor series

    Links to Calculus at Other Universities
  • Calculus II at the University of Pennsylvania.
  • Calculus at Harvard


  • These pictures are created by Maple. Here are my Maple commands for the left picture: 1. with(plots,animate); 2. animate([e/(1+e*sin(125*t)),t,t=0..2*Pi],e=-2..2,coords=polar,view=[-4..4,-4..4],numpoints=150,frames=30);
    Have a fun with Math!


    Feedback on matters related to the course will be welcome. Please send it to
    matwuj@nus.edu.sg