 
MA 2108, Fall 2001
Advanced Calculus II



Lecturer: J. Wu
Tutors: Choi Kwok Pui and and J. Wu
Office: S14, 0407, Faculty of Science, Lower Kent
Ridge Road. Office Hours: Thursady 24 pm
email:
matwuj@nus.edu.sg
Phone: 8744940.
Text Books:
 William R. Parzynski and Philip W. Zipse, Introduction to
mathematical analysis, International Edition 1987, McGrawHill Book
Company Press.
 G. B. Thomas, Jr. and Ross L. Finney, Calculus and analytic
geometry, 9th Edition, International Student Edition, AddisonWesley
Longman Inc. Press, 1996.
 M. Braun, Differential equations and their applications, 3rd
Edition, Applied Mathematical Sciences V. 15, SpringerVerlag, 1986.
Course Outline
Lectures: Tuesday, Friday, 2:003:30 pm, LT24.
Tutorials:
Group 1: Tuesday, 121, S16 0533, J. Wu
Group 2: Tuesday, 12, S16 0533, Choi Kwok Pui
Group 3: Thursday, 121, S16 0530, J. Wu
Group 4: Thursday, 12, S16 0530, J. Wu
Group 5: Friday, 1011, S16 0530, Choi Kwok Pui
Group 6: Friday, 1112, S16 0530, Choi Kwok Pui
Group 7: Friday, 45, S16 0535, J. Wu
Group 8: Friday, 910, S16 0530, Choi Kwok Pui
Exams
Midterm: Tuesday, September 25, 2:003:30, 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 Makeup exams. During
the final exam, a note sheet (twosided 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