Math 2B 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.
Lecture
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
Section
4.9
5.1
5.2
5.3
5.4
5.5
6.1, 6.2
6.2
6.5
7.1
7.2
7.3
7.4
7.5
7.8
8.1
11.1
11.2
11.3, 11.4
11.5, 11.6
11.6
11.7
11.8
11.9
11.10
Topic
Antiderivatives (Review)
Areas and Distances
Definite Integral
Fundamental theorem of calculus
Indefinite integrals and Net change theorem
Substitution rule
Area between curves; Start 6.2
Volumes cont.
Average value of a function; Review
Midterm # 1
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Integration by Partial Fractions
Strategy for Integration
Improper Integrals
Review of integration techniques; Arc Length
Sequences
Review
Midterm # 2
Series
Integral test and estimates of sums; Comparison Test
Alternating series test; Absolute convergence (start 11.6)
Ratio test and Root test
Strategy for Testing Series
Power series
Representing functions as Power series
Taylor series and Maclaurin series
Review
In case of a quarter with 28 lectures, you may skip the review prior to midterm 2 (students get a review of
integration techniques before learning 8.1).