Lecturers:  Dr Petrovious Horton (Calculus) and Mrs. Anita Campbell (Linear Algebra)

NB! The Math 140 Exam is on Saturday MORNING 14 November 2009 at 09h00 - 12h00

Click here  for Math 140 General Information.

Click here for the proposed Lecture Schedule and details of Course Lecturers.

Click here for the proposed Planning Timetable for Math 140.

For a summary of Areas between Curves, click here

For a summary of Volumes, click here

For a summary of Differential Equations, click here and here

For a summary of Sequences, click here

For Lecture Notes of Taylor's Theory, click here.

For a summary of Polar Coordinates, click here

For a summary of Complex Numbers, click here

For an intuitive guide to concepts about Complex Numbers by Professor Siu-Ah Ng, click here

Linear Algebra Lecture Schedule

Linear Algebra Lectures

1.1 Equations of a Line

1.1 Dividing a Line Segment

1.2 Dot Products

1.2 Unit Vectors and Angles

1.3 Determinants and Cross Products

1.4 Equations for a plane

1.4 Distances from planes

2 Matrices

2 Linear Transformations

2 Matrix Multiplication

3 Inverses and Gauss Reduction

3 Finding Inverses using Gauss Reduction

3 Finding Inverses using Cofactors

3 Cramer's Rule

Challenge! How many ways are there to find the area of the triangle defined by the points A(4,4,5), B(3,3,2) and C(3,2,1)?

Submit an answer to Mrs Campbell (room F33 or campbella@ukzn.ac.za)  and join the Wall of Fame!

Lecture Times:

Monday  13.15 - 14.00

Tuesday  09:35 - 10:20

Wednesday 07:45 - 08:30 and 11:25 - 12:10 (in Geog L2)

Thursday 12:20 - 13:05

Lecture Venue: Physics L2

Three class tests will be held during the lecture period (13:15 - 14:00) at the William O' Brien Test Venue

Past Test Papers:

Test 2 2009 and Solutions

Test 1 2009 and Solutions

2008 Test 1 Solutions.

2008 Test 2 Solutions.

2007 Test 1 with Solutions and More Solutions

2007 Test 2 with Solutions and More Solutions

November 2007 exam and Solutions.

November 2006 exam

November 2008 exam

QUIZ SOLUTIONS for 2008

Quiz 3  Quiz 4  Quiz 5  Quiz 6

QUIZ SOLUTIONS for 2009

Quiz 5 Thur

Quiz 6 Wed   Quiz 6 Thur

EXERCISES from CALCULUS, Concepts and Contexts by James Stewart, 3rd edition (metric):

Section 4.9 (page 332): 3, 5, 7, 9, 11, 15, 19, 23, 25, 27

Section 5.1 (page 352): 1, 3, 5, 11, 15, 17, 19, 20, 24

Section 5.2 (page 364): 1, 3, 5, 9, 12, 17, 19, 21, 23, 25, 27, 33, 37, 39, 41, 43 (Optional: # 35, 45)

Section 5.3 (page 374): 5, 7, 11, 13, 17, 21, 23, 25, 27, 29, 35, 38, 41, 45, 49, 55, 57

Section 5.4 (page 383): 3, 5, 7, 9, 11, 13, 14, 15, 17, 21 (Optional: # 25, 27 )

Section 5.5 (page 392): 1, 5, 9, 13, 17, 21, 25, 29, 33, 39, 45, 47, 49, 51, 53, 59, 63 (Optional: # 57 )

Section 5.6 (page 398): 1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 33, 35(a,b), 37, 39 (Optional: # 35(c), 45 )

Section 5.7 (page 404): 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27

Section 6.1 (page 446): 1, 3, 5, 7, 11, 13, 15, 27

Section 6.2 (page 457): 1, 3, 5, 7, 11, 13, 15, 25, 27, 29, 49, 52

Section 7.1 (page 503): 1, 2, 3, 5, 11

Section 7.3 (page 519): 1, 3, 5, 7, 9, 11, 13, 15

Section 7.4 (page 532): 1, 3, 5, 9, 10, 11

Section 8.1 (page 565): 1, 3, 5, 9, 11, 13, 15, 19, 21, 23, 26, 37, 39

Taylor Notes: Section 1: # 1, 2, 3 and Section 2: # 1, 2, 3, 4

Polar Coordinates: Appendix H.1 (p. A66): 1, 3, 5, 7, 9, 13, 17, 21, 23, 25, 31, 35, 46, 47, 49

Complex Numbers (Appendix I on p. A81): #18 and all odd numbers from 1 to 39 excluding 27

Summary of Linear Algebra topics.