MATH 1014 - L6, L8

Calculus II

Spring 2015

Course home page for course news and course materials download

Course News

10 Apr.    -    Midterm exam scores distribution: Midterm scores

02 Apr.    -    Lecture notes for Ch. 11(Part II) and Ch. 12 have been uploaded.

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

Syllabus

Lecture Notes

notes_ch6 , notes_ch7 , notes_ch11a , notes_ch11b , notes_ch12

Lecture Notes (unfilled version)

Ch6 , Ch7 , Ch11a , Ch11b , Ch12

Supplementary Materials

Notes on Calculus II

Notes on Calculus I


Practical Exercises

From textbook:

ex_ch6 , ex_ch7 , ex_ch11

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_1 , Ex_2 , Ex_3

 

Ex_1-sol , Ex_2-sol , Ex_3-sol

 

 

Contact Information

Lecturer: Dr. Keith K. C. Chow

Office: Room 3446,    Phone: 2358-8571,    E-mail: 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: 2358-7466    E-mail: zgaoaa@ust.hk

 

Mr. Tze-Chung TO (T6c, d)

Contact Details: Rm. 2612   Phone: 2358-7453    E-mail: matcto@ust.hk

Mr. Cheuk-Yin AU (T8a, b, c, d)

Contact Details: Rm. 3489   Phone: 3469-2017    E-mail: 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 one-variable 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

  1. Lecture Notes.
  2. J. Hass, M. D. Weir and G. B. Thomas. University Calculus, Pearson.
  3. Briggs W. L. and Cochran L. Calculus for Scientists and Engineers - Early Transcendental, Pearson.
  4. Any text book on Calculus available in the library.

 

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

Wolfram for graph sketching

 

Tentative Course Schedule

Week

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), Ratio and Root tests (# 11.6),

10

Comparison tests (#11.4), Alternating series (# 11.5), Absolute convergence

11

Power series (# 11.8), Representation of functions as power series (# 11.9)

12

Applications of Taylor polynomials (# 11.11), Taylor and McLaurin series (# 11.10), Three dimensional coordinate systems (# 12.1)

13

Vectors (# 12.2), Dot Product (# 12.3), Cross Product (# 12.4)