Math 2A Suggested Syllabi
(based on 29 lectures)
Text: Calculus: Early Transcendentals, Stewart, 7th Edition/UCI Custom Edition
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2
3
4
5
6
7
8
9
10
11
12
Section Topic
Four ways to represent a function. Mathematical models,
1.1, 1.2,1.3
Transformations of graphs
1.5, 1.6 Exponential Functions. Start 1.6
1.6 Inverse Functions and logarithms
2.1, 2.2 Tangent and Velocity Problems, Limit of a Function
2.3 Calculating Limits from Limit Laws
2.5 Continuity
2.6 Limits at Infinity, Horizontal Asymptotes
2.7 Derivative and Rate of change
2.8 Derivative as a function
Review
Midterm # 1
Derivative of a Polynomial and Exponential Function,
3.1, 3.2
Product and Quotient Rules
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
3.1
4.1
4.2
4.3
4.4
4.5
4.7
4.9
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
In case of a quarter with 28 lectures, skip the “Catch-up and review” day prior to the final.
*Optional: Section 2.4 - The Precise Definition of a Limit may be covered if time permits