The lecture notes for this course are available for purchase in the University bookstore. Please bring these notes with you to every class. There are intentional gaps in the notes, which will be filled in during the lectures.
After each chapter is completed, the completed version of the lecture notes will become available as a Word document, from this page.
Gapped Version of the Lecture Notes
Chapter 1
Fundamentals
+ Addenda for
Parametric Curves,
1.2 Polar Curves
Chapter 2
Partial Differentiation
Chapter 3
First Order ODEs
Chapter 4
Second Order ODEs
Chapter 5
Laplace Transforms
Chapter 6
Multiple Integration
Completed Version of the Lecture Notes
Chapter 1
Fundamentals
(PDF version)
+ Addenda for
1.A Parametric Curves, 1.B
Tangents & Normals,
1.2 Polar Curves
Chapter 2
Partial Differentiation
(PDF version)
[+
solution to Example 2.8.3]
Chapter 3
First Order ODEs
(PDF version)
Examples of Partial Fractions
More Examples of ODEs
(from a tutorial during February 2729)
Chapter 4
Second Order ODEs
(PDF version)
Example of Second Order ODE
(from the tutorial cancelled on March 13)
Chapter 5
Laplace Transforms
(PDF version)
[Note: sections 5.095.11 are not examinable]
Examples of Second Order ODE using Laplace
transforms (from a tutorial in the week of March 24  28)
Chapter 6
Multiple Integration
(PDF version)
Appendix
Suggestions for Formula Sheets
(PDF version)
Also available here is a very condensed older version of the course notes, (with very few examples), as used until 2004 Winter.
Chapter 1:  Fundamentals  [HTML version]  [Word version] 

Chapter 2:  Partial Differentiation  [XML version]  [Word version] 
Chapter 3:  First Order Ordinary Differential Equations 
[XML version]  [Word version] 
Chapter 4:  Linear Ordinary Differential Equations of Higher Order 
[XML version]  [Word version] 
Chapter 5:  Laplace Transforms  [XML version]  [Word version] 
Chapter 6:  Multiple Integration  [HTML version]  [No Word version yet] 
Chapter 1: Fundamentals
1.1 Lines and planesChapter 2: Partial Differentiation
2.1 Partial derivativesChapter 3: First Order Ordinary Differential Equations (1^{st} Order O.D.E.'s)
3.1 Classification; separation of variablesChapter 4: Linear Ordinary Differential Equations of Higher Order
4.1 Complementary function; massspring system; operator methodChapter 5: Laplace Transforms
5.1 DefinitionsChapter 6: Multiple Integration
6.1 Double Integrals (Cartesian Coordinates)







