MATH 1014  L4
Calculus II
Spring 2014
Course home page for course news and course materials download
Course News
03 Jan.  Tutorials will begin on
Week 2 (10 Feb), no tutorial in the first week.
Course Materials Download
Lecture Notes
notes_ch6 , notes_ch7 , notes_ch9 , notes_ch10 , notes_ch12
Lecture Notes (filled and scanned)
scan_ch6 , scan_ch7 , scan_ch9 , scan_ch10 , scan_ch12
Ch_6 , Ch_7
, Ch_9 ,
Ch_10 , Ch_11
Quizzes
quiz_n_ans_ch6 , quiz_n_ans_ch7 , quiz_n_ans_ch9 , quiz_n_ans_ch10 , quiz_n_ans_ch12
Supplementary Materials
Practical
Exercises
Ex_1sol , Ex_2sol , Ex_3sol
Suggested practice
problems in Textbook
Contact Information
Lecturer: Dr. Keith K. C. Chow
Office: Room
3492, Phone: 23587429, 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 5 to 6 pm).
Instructional Assistants:
Mr. HiuHung HUANG (T3a, b, c, d)
Contact Details: Rm. 3485 (Lift 25/26) Phone: 23587462
Email: mahhhuang@ust.hk
Mr. HoiSang KONG (T4a, b, c, d)
Contact Details: Rm. 3468 (Lift 25/26) Phone: 23588571
Email: mahsk@ust.hk
Time and Venue
Lectures:
L3: Mon., Wed., Fri., 10:00 am
10:50 am, Rm. 4619 (Lift 31 / 32)
L4: Mon., Wed., Fri., 11:00 am
11:50 am, Rm. 4619 (Lift 31 / 32)
Tutorials:
T3a: Tue 12:00  12:50, Rm. 3598
T3b: Fri 15:00  15:50, Rm. 3598
T3c: Thu 13:30  14:20, Rm. 3598
T3d: Fri 11:30  12:20, Rm. 5560
T4a: Wed 09:30  10:20, Rm. 3598
T4b: Tue 16:30  17:20, Rm. 2463
T4c: Fri 15:00  15:50, Rm. 1511
T4d: Tue 09:30  10:20, Rm. 4475
Course Description
This is an introductory course in
onevariable calculus, the second in the MATH 1013  MATH 1014 sequence.
Key topics: applications of
definite integral, improper integrals, vectors, curves and parametric
equations, modeling with differential equations, solving simple differential
equations, infinite sequences and series, power series and Taylor series.
Textbooks
1.
Briggs W. L. and Cochran L. Calculus for
Scientists and Engineers  Early Transcendentals,
Pearson.
Other References
Assessment
There will be one midterm and one
ﬁnal exam. Four to six 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, 30 March 2014, 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 2
(10th Feb). Please refer to the web page of the center for opening hours and
locations.
Useful Links
Tentative Course Schedule

Key Topics 
1 Feb 5, 7 
Review of
definite integrals and the Fundamental Theorem of Calculus, velocity and net change
(# 6.1), area of regions between curves (# 6.2) 
2 Feb 10, 12, 14 
Volume by
slicing (# 6.3), Volume by shells (# 6.4), length of
curves (# 6.5) 
3 Feb 17, 19, 21 
Surface area (#
6.6), Physical applications of integrals (# 6.7) 
4 Feb 24, 26,28 
Basic integrals
(# 7.1), Integration by parts (# 7.2) 
5 Mar 3, 5, 7 
Trigonometric
integrals (# 7.3), Trigonometric substitutions (# 7.4) 
6 Mar 10, 12, 14 
Polar
coordinates and calculus (# 11.2, # 11.3) 
7 Mar 17, 19, 21 
Partial
fractions (# 7.5), Numerical integration (# 7.7) 
8 Mar 24, 26, 28 
Improper
integrals (# 7.8), Sequences (# 9.1, # 9.2) 
9 Mar 31; Apr 2, 4 
Infinite series
(# 9.3), Divergence and Integral tests (# 9.4) 
10 Apr 7, 9, 11 
Ratio, root and
comparison tests (# 9.5), Alternating series (# 9.6) 
11 Apr 14, 23, 25 
Taylor
polynomials (# 10.1), Power series (# 10.2) 
12 Apr 28, 30; May 2 
Taylor series
(#10.3), Applications of Taylor series (#10.4) 
13 May 5, 7, 9 
Vectors (#
12.1, # 12.2), Dot Product (# 12.3), Cross Product (# 12.4) 