|
Week |
lecture/tutorial no. |
Topics |
Remark |
|
1
(11/7/05-16/7/05) |
1 |
Briefing |
|
| 2 |
Functions. |
|
| 3 |
Limits. |
|
| 4 |
Tutorial 1 |
|
|
2 (18/7/05-23/7/05) |
5 |
Continuity. |
|
| 6 |
The derivative. |
|
| 7 |
The derivative; Rules for
differentiation functions |
|
| 8 |
Tutorial 2,
Quiz 1. |
|
|
3
(25/7/-30/7/05) |
9 |
Implicit differentiation |
|
| 10 |
Implicit differentiation |
|
| 11 |
Tangent and Normal lines. |
|
| 12 |
Tutorial 3 and
Quiz 2 |
|
|
4
(1/8/05-5/8/05) |
13 |
Laws of the mean |
|
| 14 |
Increasing and decreasing functions |
|
| 15 |
Maximum and minimum values.. |
|
| 16 |
Tutorial 4 and
Quiz 3. |
|
|
5 (8/8/05-12/8/05) |
17 |
Curve sketching |
|
| 18 |
Curve sketching |
|
| 19 |
Differentiation of trigonometry. |
|
| 20 |
Tutorial 5 and
Quiz 4 |
|
|
6 (15/8/05-19/8/05) |
21 |
Differentiation of trigonometry. |
|
| 22 |
Inverse trigo functions |
|
| 23 |
Rectilinear and circular motion. |
|
| 24 |
Tutorial 6 and
Quiz 5 |
|
|
7 (22/8/05-26/8/05) |
25 |
Related Rates |
|
| 26 |
Differentials. Newton's method. |
|
| 27 |
Antiderivatives. |
|
| 28 |
Tutorial 7 and
Quiz 6 |
|
|
8 (29/8/05-2/9/05)
|
semester break |
|
| |
| |
| |
|
9 (5/9/05-9/9/05)
|
29 |
The definite integral. Area under a
curve |
|
| 30 |
The fundamental theorem of calculus. |
|
| 31 |
The natural logarithm. |
|
| 32 |
Tutorial 8 and
Quiz 7 |
|
|
10 (12/09/05-16/09/05) |
33 |
Exponential and logarithmic
functions |
|
| 34 |
hyperbolic functions |
Chapter on hyperbolic functions
is based on Thomas'. Click here for the scanned version of
lecturer notes and
Problem set. |
| 35 |
L' Hopital's Rule; Integration: Area
and arc length |
|
| 36 |
Tutorial 9 and
Quiz 8 |
|
|
11 (19/9/05-23/9/05) |
37 |
Integration on Volume. |
|
| 38 |
Integration by parts. Integration involving trigo
functions; |
|
| 39 |
Partial Fraction; Improper Integral. |
|
| 40 |
Tutorial 10 and
Quiz 9 |
|
|
12 (26/9/05-30/9/05) |
41 |
Infinite series. Series with
positive terms. |
|
| 42 |
Integral test. Comparison tests |
|
| 43 |
Alternating series. Convergence.
Ratio Test. |
|
| 44 |
Tutorial 11 (NO MORE QUIZ) |
|
|
13 - 15 (3/10/05-21/10/05) |
|
Linear Algebra (Taken over by Dr.
Rosy Teh) |
|