Math 2A Suggested Syllabus
(based on 29 lectures)
Text: Stewart, Calculus: Early Transcendentals or Single Variable Calculus: Early
transcendentals. 7th or 8th Edition or UCI Custom Edition, 7th or 8th Edition. Sections 1.5 and
1.6 in the 7th Edition correspond to Sections 1.4 and 1.5 in the 8th Edition.
Lecture
Section
1
1.1, 1.2,1.3
2
3
4
5
6
7
8
9
10
11
1.5 (7th ed)
1.4 (8th ed)
1.6 (7th ed)
1.5 (8th ed)
2.1, 2.2
2.3
2.5
2.6
2.7
2.8
Topic
Four ways to represent a function. Mathematical models,
Transformations of graphs
Exponential Functions. Start 1.6 (7th ed)
Exponential Functions. Start 1.5 (8th ed)
Inverse Functions and logarithms
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
12
3.1, 3.2
13
3.2, 3.3
Derivative of Trigonometric Functions
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
3.4
3.5
3.6, 3.8
3.8, 3.9
3.9
3.10
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
Intermediate Forms and L’Hospital’s rule
Curve Sketching
Optimization
Antiderivatives
Catch-up and Review
Review for final
4.1
4.2
4.3
4.4
4.5
4.7
4.9
In case of a quarter with 28 lectures, skip the “Catch-up and review” day prior to the final.