MA113

Spring 2000

Calendar

 

 

Date

Section

Topic and problems

W 1/12

Intro, §2.1

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

F 1/14

§2.2

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

M 1/17

 

Martin Luther King, Jr. holiday

W 1/19

§2.3

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

F 1/21

§2.4

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

M 1/24

§1.3, §1.4

Inequalities, §1.3 #1, 2, 3, 5, 7, 19, 21, 23, §1.4 #3, 5, 7, 9, 11

W 1/26

§2.5

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

F 1/28

§2.6

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

M1/31

§2.7

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

W 2/2

§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 2/4

§2.9

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

M 2/7

 

Review

T 2/8

 

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

W 2/9

§3.1

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

F 2/11

§3.2

The derivative, #1, 5, 9, 13, 19, 27, 45, 47, 48*, 49, 51*

M 2/14

§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* Learn to differentiate!

W 2/16

§3.4

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

F 2/18

§3.5

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

M 2/21

§3.6

§3.7

Leibniz notation, #31, 39

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

W 2/23

§3.8

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

F 2/25

§3.9

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

M 2/28

§3.10

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

W 3/1

§4.1

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

F 3/3

 

Review

M 3/6

 

Review

T 3/7

 

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

W 3/8

§4.2

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

F 3/10

§4.3

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

3/13-3/17

 

Spring break: study hard!

M 3/20

§4.4

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

W 3/22

§4.7

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

F 3/24

§5.1

Anti-derivatives (indefinite integrals) #1, 3, 7, 17, 19, 21, 25, 39

M 3/27

§5.2

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

W 3/29

Appendix A

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

F 3/31

§5.3

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

M 4/3

§5.4

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

W 4/5

§5.5

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

F 4/7

 

Review

M 4/9

 

Review

T 4/10

 

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

W 4/12

§5.6

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

F 4/14

§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*

M 4/17

§5.8

Evaluating definite integrals, #1, 3, 5, 7, 9, 15, 17, 27, 29, 33, 41, 47*,51, 53, 55, 57, 58. Learn to integrate!

W 4/19

§6.1

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

F 4/21

§6.2

Volumes of solids: slabs, disks and washers, #1, 3, 5, 7, 17, 20, 27*, 28*, 29*, 30*, 36*

M 4/249

§6.3

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

W 4/26

 

Review

F 4/28

 

Review

R 5/4

 

Final exam, 6:00-8:00 p.m., room tba

 

Problems marked with a * are particularly interesting.