Math 2A suggested syllabus
(based on 29 lectures)
Text: Stewart, Clegg, Watson, Calculus: Early Transcendentals, 9th edition
Lecture
Section
1
1.1, 1.2, 1.3
2
3
4
5
6
7
8
9
10
11
1.4
1.5
2.1, 2.2
2.3
2.5
2.6
2.7
2.8
12
3.1, 3.2
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
3.2, 3.3
3.4
3.5
3.6, 3.8
3.8, 3.9
3.9
3.10
4.1
4.2
4.3
4.4
4.5
4.7
4.9
Topic
Four ways to represent a function, Mathematical models,
Transformations of graphs
Exponential Functions. Start 1.5.
Inverse Functions and logarithms
Tangent and Velocity Problems, Limit of a Function
Calculating Limits from Limit Laws
Continuity
Limits at Infinity, Horizontal Asymptotes
Derivative and Rate of change
Derivative as a function
Review
Midterm # 1
Derivative of a Polynomial and Exponential Function,
Product and Quotient Rules
Derivative of Trigonometric Functions
Chain Rule
Implicit Differentiation
Derivative of Logarithm Functions
Exponential Growth and Decay
Related Rates
Linear Approximation and Differentials, Review
Midterm # 2
Maximum and Minimum Values
Mean Value Theorem
How derivatives affect the shape of a graph
Indeterminate Forms and L’Hospital’s rule
Curve Sketching
Optimization
Antiderivatives
Catch-up and Review
Review for final
In case of a quarter with 28 lectures, skip the “Catch-up and review” day prior to the final.