Tentative course schedule
|
Week
|
Date
|
Topics and Learning Activities
|
Tutorials and Assignments
|
1
|
6.03
|
(i) The Limit of a Function
(ii) Calculating Limits Using the Limit Laws
|
Exercises from chapters 2.1, 2.2, 2.3
|
2
|
13.03
|
(i) The precise definition of limits
(ii) Continuity
(iii) Limits at Infinity
|
Exercises from chapters 2.4, 2.5, 2.6
|
3
|
20.03
|
(i) The Derivative as a Function. Derivative of polynomials
(ii) Derivative of Exponential functions.
|
Exercises from chapters 2.7, 2.8, 3.1
|
4
|
27.03
|
(i) Product and quotient rules
(ii)Derivatives of trigonometric functions
|
Exercises from chapters 3.2,
3.3
|
5
|
3.04
|
(i) Chain rule, implicit differentiation
(ii)Derivatives of Logarithmic Functions
|
Exercises from chapters 3.4,
3.5, 3.6
|
6
|
10.04
|
(i) Maximum and Minimum Values
(ii) The mean Value Theorem
|
Exercises from chapters 4.1,
4.2
|
7
|
17.04
|
(i)Shape of a graph
(ii) Review
|
Exercises from chapters
4.3, Review
|
8
|
1.05
|
Midterm Examination
|
9
|
8.05
|
(i) L'Hospital's rule
(ii) Antiderivatives
|
Exercises from chapters
4.4-4.9
|
10
|
15.05
|
(i) Areas and Distances
(ii) The Definite Integral
|
Exercises from chapters 5.1.
5.2
|
11
|
22.05
|
(i) The Fundamental Theorem of Calculus
(ii) Evaluating definite integrals via the net change theorem
|
Exercises from chapters
5.3, 5.4
|
12
|
29.05
|
(i) The substitution rule
(ii) Areas between curves
|
Exercises from chapters 5.5, 6.1
|
13
|
5.05
|
(i) Integration by parts
(ii) Trigonometric integrals
(iii) Integration of rational functions
|
Exercises from chapters 7.1, 7.2, 7.3
|
14
|
12.06
|
Further application of integration
|
Exercises from chapters 8.1, 8.2, 8.3
|
15
|
19.06
|
Review
|
|
16
|
26.06
|
Final Examination
|
