Syllabus, Sections 01-03, Spring 2004

Mathematics 136 Syllabus

Note: If you intend to take higher level courses requiring CALC2,
do not take Math 136 or Math 138; take Math 152 instead.

All chapter numbers in the syllabus refer to the Rutgers University custom text Calculus, Special Edition, published by KendallHunt.

Lecture

Topic

Sections

Problems

1

Integration Review

 5.3-5.5

 5.3: 3,27
 5.4: 7,15,17,45
 5.5: 9,11,13,17,19,21,29,33,39

2

Numerical Integration

 5.8

 5.8: 3,7,11,13,19,21,29,38

3

Area between curves

 6.1

 6.1: 1,3,5,9,12,13,15,19,24,31

4

Volumes

 6.2

 6.2: 1,5,7,9,13,15,20,25,29,35,41,42,50,55

5

Volumes, Applications

 6.2, 6.6

 6.6: 5,9,15,17,21

6

Applications

 6.6

 6.6: 25,28,29,39,49,53,57

7

Integration by Parts; Integration Tables

 7.1, 7.2

 7.1: 3,4,11,13,15,17,27,31,42,45,49
 7.2: 1,3,7,15,17,21,22,26,37,41

8

Trig. integrals, partial fractions

 7.3, 7.4

 7.3: 5,7,11,12,13,17,19,22,49,53,57
7.4: 1,2,5,7,11,15,17,23,27,29,51,53

9

Differential Equations
Separable equations

 5.6

 5.6: 1,5,7,9,11,17,20, 21,23,25,27,29,45,47,57

10

Differential Equations
First order

 7.6

 7.6: 1,5,11,23,24,25,35,40,43

11

Improper Integrals

 7.7

 7.7: 3,5,13,17,19,21,25,27,31,33,35,39,43,45

12

FIRST MIDTERM

 

 

13

Sequences

 8.1

 8.1: 5,9,13,17,23,25,31,43-46,48

14

Geometric Series

 8.2

 8.2: 3-8,15,16,23,25,33,39,41,43,47,51

15

Convergence tests

 8.3,8.4

 8.3: 3,4,5,7,9,13,15,19,21,29,31,39,43,45,55
 8.4: 1,3,9,12,13,17,19,27,33,37,47,53

16

Ratio and root tests

 8.5

 8.5: 3,5,7,9,13,17,21,29,33,39,53

17

Absolute convergence
Alternating series

 8.6

 8.6: 5,7,9,11,13,17,21,25,31,35,39,45

18

Power series

 8.7

 8.7: 1,5,9,11,13,17,21,25,31,35,39,43,49

19

Taylorpolynomials and series

 8.8

 8.8: 3,7,13,21,25,27,29,33,37,39,47,49,52

20

SECOND MIDTERM

 

 

22

Functions of several variables

 11.1

11.1: 3,7,11,15,17,18,19,23-26

23

Partial Derivatives

 11.3

11.3: 3,4,9,18,19,25,26,27,28,42-45,47

24

Maxima and Minima
omit least squares

 11.7

11.7: 3,5,8,11,12,14,16,17,23,26,41,43,52

25

Lagrange Multipliers
skip gradient vectors

 11.8

11.8: 1,5,9,11,12,13,15,18,19,25,26,28,30,31

26

Double Integrals

 12.1

12.1: 3,5,9,11,14,15, 19,23,25,44

27

Double Integrals
Other regions

 12.2

12.2: 3,4,6,7,9,11,13,14

28

Catch-up, review

 

 

 

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