MATH 1014  L6, L8
Calculus II
Spring 2015
Course home page for course news and course materials download
Course News
26 Jan.  Tutorials will begin on
Week 2 (9 Feb), no tutorial in the first week.
Course Materials Download
Lecture Notes
Lecture Notes (unfilled version)
Ch6
,
Supplementary Materials
Practical
Exercises
From textbook:
ex_ch6 ,
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) 