MATH 1014  L6, L8
Calculus II
Spring 2015
Course home page for course news and course materials download
Course News
20 Mar.  Lecture notes for Ch.
11(Part I) have been uploaded.
18 Feb.  Lecture notes for Ch. 7
have been uploaded.
26 Jan.  Tutorials will begin on
Week 2 (9 Feb), no tutorial in the first week.
Course Materials Download
Lecture Notes
notes_ch6 , notes_ch7 , notes_ch11a ,
Lecture Notes (unfilled version)
Supplementary Materials
Practical
Exercises
From textbook:
Suggested
practical problems in textbook
From previous textbook:
quiz_n_ans_ch6 , quiz_n_ans_ch7 , quiz_n_ans_ch9 , quiz_n_ans_ch10 , quiz_n_ans_ch12
Additional:
Ex_1sol , Ex_2sol , Ex_3sol
Contact Information
Lecturer: Dr. Keith K. C. Chow
Office: Room
3446, Phone: 23588571, Email: kchow@ust.hk
Office Hour: Hours at the Math Support Center. You may also
find me at my office on other working days (better between 3 to 4 pm on
Mon/Wed/Fri).
Instructional Assistants:
Mr. Zhaoxing GAO (T6a, b)
Contact Details: Rm. 3213 Phone: 23587466
Email: zgaoaa@ust.hk
Mr. TzeChung TO (T6c, d)
Contact Details: Rm. 2612 Phone: 23587453 Email:
matcto@ust.hk
Mr. CheukYin AU (T8a, b, c, d)
Contact Details: Rm. 3489 Phone: 34692017
Email: cheukyin@ust.hk
Time and Venue
Lectures:
L6: Mon., Wed., Fri., 16:00 
16:50, Rm. 4619 (Lift 31 / 32)
L8: Mon., Wed., Fri., 17:00 
17:50, Rm. 4619 (Lift 31 / 32)
Tutorials:
T6a: Wed 12:30  13:20, Rm. 5506
T6b: Mon 12:30  13:20, Rm. 5506
T6c: Mon 13:30  14:20, Rm. 3584
T6d: Wed 17:30  18:20, Rm. 3584
T8a: Fri 09:30  10:20, Rm. 3588
T8b: Tue 15:00  15:50, Rm. CYT
G003
T8c: Tue 14:00  14:50, Rm. CYT
G002
T8d: Mon 18:00  18:50, Rm. CYT
G003
Course Description
This is an introductory course in
onevariable calculus, the second in the MATH 1013  MATH 1014 sequence.
Key topics: applications of
definite integrals, integration techniques, improper integrals, infinite
sequences and series, power series and Taylor series, vectors.
Textbooks
1.
J. Stewart. Calculus
 Early Transcendental, 7th ed., BROOKS/COLE.
Other References
Assessment
There will be one midterm and one
ﬁnal exam. Online homework sets will be arranged during the semester.
Couse Work: 12 % (homework
assignments) [Work online
with the system WEBWORK described below]
Midterm Exam: 33 % [Tentative
date: Sunday morning, 29 March 2015, 1.5 hour]
Final Exam: 55 %
# You
may check your marks from the intranet of the Math. Dept. at https://intranet.math.ust.hk/grading/student/
Homework Assignment
You should use the system WEBWORK
to do the homework assignments, the address is: https://webwork.math.ust.hk This is the quick start guide for students: https://webwork.math.ust.hk/20110830.html
You should finished each homework
assignment on or before the announced due date. You may download the questions
to a file and print a hard copy. The number of trials for each question is
limited.
You may access the WEBWORK and
work out the assignments at the Math
Support Center , where some helpers are available to assist the students in
using the WEBWORK system. The Math Support Center will be opened from Week 1 (2
Feb). Please refer to the web page of the center for opening hours and
locations.
Useful Links
Tentative Course Schedule

Key Topics 
1 
Review of definite integrals and the Fundamental Theorem of
Calculus, area of regions between curves, Volumes (# 6.1, # 6.2) 
2 
Volume by shell approach (# 6.3), Work (# 6.4), Average value of
a function (# 6.5) 
3 
Arc length (# 8.1), area of a surface of revolution (# 8.2) 
4 
Integration by parts (# 7.1) , Trigonometric integrals (# 7.2) 
5 
Trigonometric substitutions (# 7.3),Polar coordinates and
calculus (# 10.3, # 10.4) 
6 
Partial fractions (# 7.4), Strategy for integration (# 7.5) 
7 
Numerical integration (# 7.7), Improper integrals (# 7.8) 
8 
Sequences (# 11.1), Infinite series (# 11.2) 
9 
Integral tests (# 11.3), Comparison tests (#11.4), Alternating
series (# 11.5) 
10 
Absolute convergence, Ratio and Root tests (# 11.6), Summary (#
11.7), Power series (# 11.8) 
11 
Representation of functions as power series (# 11.9), Taylor and
McLaurin series (# 11.10), Applications of Taylor polynomials (# 11.11) 
12 
Three dimensional coordinate systems (# 12.1), Vectors (# 12.2) 
13 
Dot Product (# 12.3), Cross Product (# 12.4) 