MATH212 - Advanced Calculus and Linear Algebra
Advanced Calculus
Dr Paddy Ewer (ewerp@ukzn.ac.za) - Room 109 B, Admin Building
Linear Algebra
Prof Mike Henning (Henning@ukzn.ac.za) - Room F35, Science Bldg
Lectures (Physics Lecture Theatre 2):
Monday Period 4
Tuesday Period 7
Thursday Period 4
Friday Period 7
Tutorials: Thursday 14.10 - 16.45, F15
Tests: February 25 (Calculus), March 25 (Calculus), April 22 (Linear Algebra).
Calculus will run until 23 March and Linear Algebra will follow.
Assignments and quizzes may also be given.
DP Requirements: 35% class mark, 80% attendance at tutorials.
Attendance at tutorials is compulsory and late arrival will be regarded as absence. Leaving before work is done will also be regarded as absence. Too many absences will result in loss of DP.
Advanced Calculus Lectures etc. Click Here
LINEAR ALGEBRA
We will be using the following textbook for the Linear Algebra part of MATH212:
Name: NINTH EDITION Elementary Linear Algebra
Authors: Howard Anton and Chris Rorres
Publisher: Wiley International Edition
ISBN: 9780471449027 (soft cover)
The Van Schaik bookshop on campus has a limited number of copies (40) in stock (price R424.95).
The library currently has only one copy of the textbook which has been placed on short loan. Students may take the book out for one-hour slots, but unfortunately the book is required to stay in the library. This book is used by most universities in South Africa, and it is highly recommended that students purchase a copy. The first three chapters provide an excellent reference of work covered in the linear algebra part of MATH140.
Lectures can be found by clicking on the links below:
You should now be able to do the following exercises:
Exercises Section 5.1 (pp. 226--229) # 1, 3, 5, 7, 9, 13, 27--33.
You should now be able to do the following exercises:
Exercises Section 5.2 (pp.
238--240)
Parts (a),(b),(c) in Questions 1, 2, 3 and 4.
Parts (b),(d),(f) in Question 6.
Parts (a),(c) in Questions 7, 8, 9, 10 and 11.
Question 12, 13, 18, 23, and 26
You should now be able to do the following exercises:
Exercises
Section
5.3 (pp. 248--250)
Questions 1, 2(a),(b), 4(a),(b), 5(a), 9, 11, 12, 15, 16, 20(a),(b),(c),
21
Reminder: Test 3 is written on April 22. All work covered in the first eight (8) lectures (Section 5.1, 5.2 and 5.3) will be tested in Test 3.
There will be an (optional) extra tutorial on Tuesday 20 April in Period 6 (12h20-13h05) in Room F47 on the 1st Floor should you have any questions on the work to covered in Test 1. The lecture on Tuesday 20 April in Period 7 (13h15-14h00) will be replaced by a tutorial as a final chance to ask any questions you may have when preparing for Test 3. Please take full advantage of this extra help offered.
For a copy of Test 3, click on TEST 3
Solutions for Test can be found by clicking here
Please read through these solution carefully for two reasons: First, it shows the amount of detail required. Secondly, it shows how to write the mathematics correctly.
You should now be able to do the following exercises:
Exercises
Section
5.4 (pp. 263--265)
Questions 1, 2(a),(c), 3(a),(c), 4(a),(c), 5, 7(a),(b), 8(a), 9(a),
10(b), 11, 12, 15, 23, 24, 32, 36
You should now be able to do the following exercises:
Exercises
Section
5.5 (pp. 276--278)
Questions 1, 2(a),(c), 3(a),(c), 4, 5(a),(c), 6(a), 7(a),(b), 8, 9, 10,
11(a)
You should now be able to do the following exercises:
Exercises
Section
5.6 (pp. 288--290)
Questions 1, 2(a),(c), 3(a),(c), 4, 7, 8, 12(a), 17, 18