Calendar

Note: the planned schedule is tentative and subjected to possible modification.

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)