MA113

Fall 1999

Calendar

 

 

Date

Section

Topic and problems

W 8/25

Intro, §2.1

Functions and their graphs, #5, 7, 9, 11, 13, 15, 17, 19, 25, 35, 37, 38, 39

F 8/27

§2.2

Operations on functions, #1, 3, 4, 11, 15, 17, 23, 25, 33, 35*

M 8/30

§2.3

The trigonometric functions #1, 9, 11, 13, 15, 17, 19, 25, 32, 33, 35

W 9.1

§2.4

Introduction to limits, #1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 29, 38

F 9/3

§1.3

Inequalities, #1, 2, 3, 5, 7, 19, 21, 23

M 9/6

 

Labor day

W 9/8

§2.5

Rigorous study of limits, #7, 9, 13, 16, 17, 18, 23

F 9/10

§2.6

Limit theorems, #1, 3, 5, 13, 15, 17, 21, 23, 25, 27, 29, 36*

M 9/13

§2.7

Limits involving trigonometric functions, #1, 3, 5, 7, 9, 11, 13, 17, 18*

W 9/15

§2.8

Limits at infinity, Infinite limits, #1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 37, 39, 41, 43, 49, Last day to drop.

F 9/17

§2.9

Continuous functions, #1, 3, 5, 7, 9, 16, 17, 19, 21, 23, 38, 39, 40, 43, 44, 46

M 9/20

 

Review

T 9/21

 

Exam, 7:30-9:30 p.m., room tba

W 9/22

§3.1

Two problems with one theme, #1, 3, 7, 13, 17, 21, 25, 27

F 9/24

§3.2

The derivative, #1, 5, 9, 19, 27, 45, 47, 48*, 49, 51*

M 9/27

§3.3

Rules for finding derivatives, #1, 3, 5, 7, 9, 21, 23, 25, 33, 35, 37, 39, 41, 43, 45, 47, 51, 54*, 57*

W 9/29

§3.4

Derivatives of trigonometric functions, #1-13 (odds), 17, 21, 25

F 10/1

 

Fall Break

M 10/4

§3.5

The chain rule, #1, 3, 5, 9, 11, 13, 21, 33, 35, 43, 45*, 47, 52

W 10/6

§3.6

§3.7

Leibniz notation, #31, 39

Higher order derivatives, #1, 5, 7, 19, 20, 35, 37, 39

F 10/8

§3.8

Implicit differentiation, #1, 3, 7, 13, 19, 21, 25, 33, 35, 41, 42, 43

M 10/11

§3.9

Related rates, #1, 3, 5, 7, 9, 15, 19*, 20, 21

W 10/13

§3.10

Differentials and approximations, #1, 12, 15, 18, 19, 21, 25, 27, 29

F 10/15

 

Review

M 10/18

 

Review

T 10/19

 

Exam, 7:30-9:30 p.m., room tba

W 10/20

§4.1

Maxima and minima, #1, 3, 7, 13, 15, 17, 21, 23, 27, 29, 34

F 10/22

§4.2

Monotonicity and concavity, #1, 3, 7, 13, 21, 23, 29, 31, 43, 49, 50, 51, 52 Last day to withdraw

M 10/25

§4.3

Local maxima and minima, #1, 3, 7, 13, 17, 29, 30

W 10/25

§4.4

More max-min problems, #1, 5, 7, 13, 19, 21, 29*

F 10/27

§4.7

The mean value theorem #1, 2, 3, 24, 29, 30, 31, 36*, 40, 41, 44

M 11/1

§5.1

Antiderivatives (indefinite integrals) #1, 3, 7, 17, 19, 21, 25, 39

W 11/3

§5.2

Introduction to differential equations #1, 3, 5, 7, 11, 17, 21, 29, 31, 33

F 11/5

Appendix A

Mathematical Induction #1-4, 10, 13, 17, 27, 28*, §3.7 #17, 20

M 11/8

§5.3

Sums and sigma notation, #1, 3, 9, 11, 13, 15, 25, 31, 33, 36, 37, 38, 45*

W 11/10

§5.4

Introduction to area, #1, 5, 11, 12, 13, 19, 24*

F 11/12

 

Review

M 11/15

 

Review

T 11/16

 

Exam, 7:30-9:30 p.m., room tba

W 11/17

§5.5

The definite integral, #1, 5, 7, 11, 17, 19, 21, 24, 25

F 11/19

§5.6

The first fundamental theorem of calculus, #1, 2, 5, 7, 13, 15, 17, 23, 29, 33, 35, 45, 47, 49

M 11/22

§5.7

The second fundamental theorem of calculus and the mean value theorem for integrals, #1, 3, 5, 7, 11, 13, 15, 17, 19, 31, 33, 35, 55, 59

W 11/24

§5.7

 

 

 

Thanksgiving holiday

M 11/29

§5.8

Evaluating definite integrals, #1, 3, 5, 7, 9, 15, 17, 27, 29, 33, 41, 51, 53, 55, 57, 58

W 12//1

§6.1

The area of a plane region, #1, 3, 5, 9, 15, 21, 25, 29, 34, 36*, 37

F 12/3

§6.2

Volumes of solids: slabs, disks and washers, #1, 3, 5, 7, 17, 20, 27, 29, 36

M 12/6

§6.3

Volumes of solids of revolution: shells, #1, 3, 5, 11, 19, 20, 24

W 12/8

 

Review

F 12/10

 

Review

W 12/15

 

Final exam, 8:30-10:30 p.m., room tba

 

Problems marked with a * are particularly interesting.