| OHP transparencies |
 Set
#1 |
Definition of vector and the associated notation and terminology
(negative of a vector, unit vector, etc). Use of representatives (directed
line segments) to represent vectors. Vector arithmetic: addition & subtraction
(Triangle Law, etc)
Ignore the first page.
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Set #2 |
More on vector arithmetic (multiplication by scalars). Parallel vectors,
position ratio, position vectors, Section Formula, collinearity.
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Extra Lecture |
Worked examples for collinearity. Centroid of a triangle.
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Set #3 |
Coordinates in 1D, 2D and 3D. Components of vectors, vector arithmetic
in component form (download
Handout #1)
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Set #4 |
Equations of surfaces: planes, cylinders, spheres and lines
(download
Handout #2).
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Set #5 |
Equations of lines (vector/parametric/symmetric forms). Intersections
between a line and a surface.
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Set #6 |
Intersections between 2 lines in 3D. Intersections between 2
planes (several important examples).
[More examples here]
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Set #7 |
Products and angles. Scalar and vector products
(download
Handout #3).
Angles between two intersecting lines/planes.
[More examples here]
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Set #8 |
Exponential growth and decay
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Set #9 |
Logic and proof (I).
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Set #10 |
Logic and proof (II).
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Set #11 |
Mathematical induction.
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Set #12 |
Extra stuff on mathematical induction.
Two more examples
here.
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Set #13
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Principles of counting. Permutations and
combinations (I).
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Set #14
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Permutations and combinations (II). Pascal's triangle.
The Binomial Theorem.
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Set #15
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The Binomial Theorem and its applications (multiple angles to powers,
powers to multiple angles).
An extra example
here
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Set #16
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Probability I.
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Set #17
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Probability II.
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Set #18
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Probability III.
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Set #19
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Probability IV.
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Revision
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Exam syllabus+more stuff on intersections, etc. 
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