ERG 2012B : Advanced Engineering Math

Spring, 2009

The Chinese University of Hong Kong

Announcements | Administrative Info | Course Info | Course Plan & Lecture Notes | Homework and Solutions | Tutorials/Discussions


Announcements

15/04/2009: Final exam will be on April 24 (next Friday)1:30-3:30pm,at Thomas H C Cheung Gymnasim, UC. Each student is allowed to bring a A4 paper with notes (on both sides).

13/04/2009: The Review notes NumericalMethods & Probability has been uploaded.

08/04/2009: The Lecture material Week15 has been uploaded.

08/04/2009: Tutorial 11  has been uploaded.

04/04/2009: Tutorial 10 posted

04/04/2009: the  Solutions of Home work 5 and 6  are posted Solution for HW5  Solution for HW6

17/03/2009: The Homework6 and Homework7 have been uploaded. The due dates are April 3 and April 14, respectively.

28/03/2009: The Lecture Notes Week13 and Week13-PartII have been uploaded.

25/03/2009: Numerical method complete notes has been uploaded.

25/03/2009: The lecture nodes Week12-PartII was updated.

21/03/2009: The Lecture Notes Week12 and Week12-PartII were uploaded.

20/03/2009: The midterm marks and week11 lecture notes were updated.

19/03/2009: Here's some Newton method examples for you.

18/03/2009: The Complete Notes for (linear algebra) have been uploaded.

17/03/2009: IMPORTANT: The grading for the midterm has been finished. Grading table and Marking scheme are posted, please download and check. Time and venue to fetch your answer books is  2:30pm- 5:30 on Mar 19 (Thursday), in SHB825. Please fetch your answer book personally. If you have any problem about the grading, please ask the tutors then. All tutors will be there.

17/03/2009: Lecture Notes Week11-PartII has been uploaded.

17/03/2009: The Homework5 has been uploaded. The due date is March 24.

13/03/2009: Tutorial Notes Tutorial 8 have been uploaded.

13/03/2009: Lecture Notes Week11 have uploaded.

10/03/2009: Tutorial 7uploaded.

09/03/2009: the Solution for Tutorial 5 is posted.

09/03/2009: the Home work 4 solution is posted Solution4

06/03/2009: the Home work 3 solution is posted Solution

02/03/2009: The Homework4 has been uploaded. The due date is this Friday.

02/03/2009: The tutorial 6 has been uploaded

28/02/2009: The lecture Notes for next week Week9, Week9-PartII and Review of Linear Algebra have been uploaded.

19/02/2009: The tutorial5  has been uploaded.

17/02/2009:IMPORTANT: the midterm is not in MMW engineering building, but the MMW building

17/02/2009: The mark of assignment 1 upload, please check and you can get your H.W back in (SHB 825)

16/02/2009: The midterm will be on March 11, Wednesday, starting 2:30pm. The midterm of the two classes will be held together at MMW LT1.

16/02/2009: The Solution for HW2 has been uploaded.

16/02/2009: The Homework3 has been uploaded.

16/02/2009: The tutorial4  has been updated.

16/02/2009: The lecture Notes for (Week7-PartII) and (Week8)  have been uploaded.

15/02/2009: The tutorial note for next week  has been uploaded. We will discuss HW1 in this tutorial.

12/02/2009: The Solutions for HW1 have been uploaded.

12/02/2009: The whole tutorial plan has been updated.

11/02/2009: The lecture Notes for (Week7) have been uploaded

04/02/2009: The lecture Notes for (Week6-PartII) have been uploaded

02/02/2009: The Homework2 has been uploaded.

01/02/2009: The lecture Notes for (Week6) have been uploaded

01/02/2009: Please noticed that Prof Huang's office hours is changed to Wednesday 11am-12pm

01/02/2009: The Complete Notes for (Complex Analysis) is uploaded.

21/01/2009: The Lecture Notes for (Week5) have been uploaded. (No classes for week 4, the Chinese New Year)

20/01/2009: The Review note for complex analysis has been uploaded

15/01/2009: The Homework1 has been uploaded.

15/01/2009: The Lecture Notes for (Week3) have been uploaded.

14/01/2009: New Tutorial note (Tutorial1) has been uploaded. This note is for the first two-week tutorials.

08/01/2009: New Lecture material (for Week2) has been uploaded.

05/01/2009: The Administrative Info has been updated ( Tutorial time and venue, TAs' office hours)

04/01/2009: I love to hear feedback from you and encourage you to participate during each class. I use some simple forms to facilicate this process (details will be explained during the first class).

04/01/2009: Please include the signed academic honesty statement in each of your homework.

29/12/2008: Effective Jan. 14 (Wednesday), the wednesday classroom will be changed to Science Centre Lecture Theatre 2.


Administrative Info

Instructor:  Jianwei HUANG (Office: SHB 717; email: jwhuang [at] ie.cuhsk.edu.hk)

Tutors: Scotty LEUNG (Office: SHB 825; email: cowala001 [at] gmail.com); Helen Li (Office: SHB 735; email: lsq007 [at] ie.cuhk.edu.hk)

Course web site:   http://course.ie.cuhk.edu.hk/~erg2012b

Course newsgroup:  news://news.erg.cuhk.edu.hk/cuhk.erg.2012b

Lecture Time: Monday 11:30-12:15pm (LSB241), Wednesday 2:30-4:15pm (LSBC2 for the first week, and Science Centre Lecture Theatre 2 from the 2nd week)

Office Hour: Jianwei (Wednesday 11am-12pm), Scotty (Friday 2:30-4:30pm), Helen (Thursday 3:30-5:30pm), or by appointment

Tutorial: M5(ERB803), W5 (ERB407)  Since the second week, 12, Jan, 2009

              (You can choose either of them. The content will be same within each week.)


Course Info

Evaluation: Homework (20%), Midterm (30%), Final (50%), Class Participation (bonus 5%)

Required Text: "Advanced Engineering Mathematics", by Ervin Kreyszig, 9th Edition, Wiley International Edition (Available at university bookstore; no photocopy of any part of the books will be provided by the instructor or TA)

Acknowledgement: I want to thank Prof. Weihua Zhuang and and Prof. Emma MacPherson for contributing to the course materials. I also want to thank Prof. Angela Zhang and Prof. Sidharth Jaggi for helpful discussions on various interesting teaching practices.


Course Plan & Lecture Notes

The lecture notes are normally posted every Thursday night. You are encouraged to go over the notes and try to solve the problems before going to class. Anyone who can solve a given problem right in class will get a participation bonus.

 

Week Date Tentative Plan (subject to changes) Lecture Materials Notes
1 Jan. 5 & 7 Complex Analysis class logistics, Week1.pdf  
2 Jan. 12 & 14 Complex Analysis Week2  
3 Jan. 19 & 21 Complex Analysis Week3 Review Complex Analysis (with full solutions)
4 Jan. 26 & 28 No class: Chinese New Year Break N/A  
5 Feb. 2 & 4 Linear Algebra Week5  
6 Feb. 9 & 11 Linear Algebra Week6 Week6-PartII  
7 Feb. 16 & 18 Linear Algebra Week7 Week7-PartII  
8 Feb. 23 & 25 Linear Algebra Week8 linear_algebra_complete
9 March 2 & 4 Linear Algebra & Midterm Exam Week9 Week9-PartII Review of Linear Algebra Marking scheme
10 March 9 & 11 Numerical Methods   numerical method complete notes
11 March 16 & 18 Numerical Methods Week11 Week11-PartII Newton method example
12 March 23 & 25 Probability Week12 Week12-PartII  
13 March 30 & April 1 Probability Week13 Week13-PartII  
14 April 6 & 8 Probability    
15 April 13 & 15 April 13: No class (Eastern Holiday), April 15: review Week15 NumericalMethods & Probability(Review)


Homework and Solutions

Homework1 [Due date: Jan. 23 (Friday)]  Solutions for HW1
(1) To prove Cauchy-Rieman equations in both rectangular coordinate system and polar form.
(2) Problem set 13.3 (16), (21); Problem set 13.4 (2), (3), (6); Problem set 13.6 (4), (16); Problem set 13.7 (12), (14) , (18) (24), Problem set 15.1 (20), (22), Problem set 15.2 (3), (5), Problem set 15.4 (1), (3).

Homework2 [Due date: Feb. 13 (Friday)] Solution for HW2
14.1 (19), (20), (22), (24)
14.2 (1) (2), (4), (5), (7)

Homework3 [Due date: Feb. 24]Solution for HW3

Problem set 7.2 (2), (5), Problem set 7.3 (5), Problem set 7.4 (28), (31), Problem 7.7 (15), Problem set 7.8 (6), Problem set 7.9 (4)

Homework 4[Due date: Mar. 6 (Friday)] Solution for HW4

Problem set 8.1 (2), (15), (23), Problem 8.3 (13), Problem set 8.4 (8), (17)

Homework 5[Due date: March 24.(Tuesday)] Solution for HW5

Problem set  19.1: 6, 14, 18;  Problem set 19.2: 4, 10, 18 ;  Problem set 19.3: 4, 16

Homework 6 [due: Friday, April 3] Solution for HW6

Problem set19.5: 8, 12;  Problem set 20.1: 8, 14; Problem set 20.2: 4; Problem set 20.3: 4

Homework 7: [due Tuesday, April 14]

Problem set 24.2: 6, 14;  Problem set 24.3: 8, 14, 20; Problem set 24.4: 8, 12


Tutorials/Discussions

Time and venue: M5(ERB803), W5 (ERB407)  (You can choose either of them. The content will be same within each week.)

No. Material to download Tutor who is in charge Date
1 Tutorial1  Solution sheet William Week 2 &3
2 Tutorial 2 Jieying Week 5
3 Tutorial 3 Scotty Week 6   Feb. 09 - 13 
4 Tutorial 4 Helen Week 7   Feb. 16 - 20
5 Tutorial 5 Solution sheet Helen Week 8   Feb. 23 - 27
6 Tutorial 6 Boqing Week 9   Mar. 02 - 06
7 Tutorial 7 Scotty Week 10 Mar. 09 - 13
8 Tutorial 8 Boqing Week 11 Mar. 16 - 20
9 Tutorial 9 William Week 12 Mar. 23 - 27
10 Tutorial 10 , answer Scotty Week 13 Mar. 30 - Apr. 3
11 Tutorial 11 Helen Week 14 April 06 - 10
12 Tutorial 12 Boqing Week 15 April 13 - 17