Department

MathematicsCourse Code

MATH 2AProfessor

AllStudy Guide

MidtermThis

**preview**shows half of the first page. to view the full**1 pages of the document.**Math 2A suggested syllabus

2018–19 academic year

(based on 29 lectures)

Text: Stewart, Calculus: Early Transcendentals or Single Variable Calculus: Early transcendentals, 8th

Edition or UCI Custom Edition, 8th Edition.

Lecture Section Topic

1 1.1, 1.2, 1.3 Four ways to represent a function, Mathematical models, Transformations of graphs

2 1.4 Exponential Functions. Start 1.5.

3 1.5 Inverse Functions and logarithms

4 2.1, 2.2 Tangent and Velocity Problems, Limit of a Function

5 2.3 Calculating Limits from Limit Laws

6 2.5 Continuity

7 2.6 Limits at Inﬁnity, Horizontal Asymptotes

8 2.7 Derivative and Rate of change

9 2.8 Derivative as a function

10 Review

11 Midterm #1

12 3.1, 3.2 Derivative of a Polynomial and Exponential Function, Product and Quotient Rules

13 3.2, 3.3 Derivative of Trigonometric Functions

14 3.4 Chain Rule

15 3.5 Implicit Differentiation

16 3.6, 3.8 Derivative of Logarithm Functions

17 3.8, 3.9 Exponential Growth and Decay

18 3.9 Related Rates

19 3.10 Linear Approximation and Differentials, Review

20 Midterm #2

21 4.1 Maximum and Minimum Values

22 4.2 Mean Value Theorem

23 4.3 How derivatives affect the shape of a graph

24 4.4 Indeterminate Forms and l’Hˆ

opital’s rule

25 4.5 Curve Sketching

26 4.7 Optimization

27 4.9 Antiderivatives

28 Catch-up and Review

29 Review for ﬁnal

In case of a quarter with 28 lectures, skip the “Catch-up and review” day prior to the ﬁnal.

1

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