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 2B 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 4.9 Antiderivatives (review)

2 5.1 Areas and Distances

3 5.2 Deﬁnite Integral

4 5.3 Fundamental Theorem of Calculus

5 5.4 Indeﬁnite Integrals and the Net Change Theorem

6 5.5 Substitution Rule

7 6.1, 6.2 Area between Curves, Volume

8 6.2 Volume

9 6.5 Average Value of a Function, Review

10 Midterm #1

11 7.1 Integration by Parts

12 7.2 Trigonometric Integrals

13 7.3 Trigonometric Substitutions

14 7.4 Integration by Partial Fractions

15 7.5 Strategy for Integration

16 7.8 Improper Integrals

17 11.1 Sequences

18 Review

19 Midterm # 2

20 11.2 Series

21 11.3, 11.4 Integral Test, Comparison Test

22 11.5, 11.6 Alternating Series Test, Absolute Convergece (start 11.6)

23 11.6 Ratio and Root Tests

24 11.7 Strategy for Testing Series

25 11.8 Power Series

26 11.9 Representations of Power Series

27 11.10 Taylor and Maclaurin Series

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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