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

Syllabus

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


Slides

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

Notes on Calculus II

Notes on Calculus I


Practical Exercises

 

Ex_1 , Ex_2 , Ex_3

 

Ex_1-sol , Ex_2-sol , Ex_3-sol

 

 

Suggested practice problems in Textbook

 

Contact Information

Lecturer: Dr. Keith K. C. Chow

Office: Room 3492,    Phone: 2358-7429,    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 5 to 6 pm). 

 

Instructional Assistants:

Mr. Hiu-Hung HUANG (T3a, b, c, d)

Contact Details: Rm. 3485 (Lift 25/26)   Phone: 2358-7462    E-mail: mahhhuang@ust.hk

 

Mr. Hoi-Sang KONG (T4a, b, c, d)

Contact Details: Rm. 3468 (Lift 25/26)   Phone: 2358-8571    E-mail: 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 one-variable 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

  1. Lecture Notes.
  2. J. Hass, M. D. Weir and G. B. Thomas. University Calculus, Pearson.
  3. Any text book on Calculus available in the library.

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

Wolfram for graph sketching

 

Tentative Course Schedule

Week

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)