Math 127H -- Fall 2008
Schedule of lectures and assignments
 
Date
Section in the Neuhauser textbook and assigned problems

What's due/ other remarks
Tuesday  9/2

General introduction. 


Thursday 9/4
Sections 1.1 and 1.2: Elementary Functions
Page 14:  Problems 52, 69; 
Page 43:  Problems: 16, 29, 64, 89


Tuesday 9/9
Exponential growth and decay.
Page 69: Problems 41, 55, 71, 74, 90, 100


Thursday 9/11 Best fitting line. Handout with problems.
Compound interest.  The number e as a limit.

Quiz #1:  Solutions
Page 14:  Problems 52, 69; 
Page 43:  Problems: 16, 29, 64, 89
WebWork HW1 closes at 11 am.
Tuesday 9/16 Continuously compound interest.  The number e as a limit.
Intuitive definition of limit.  Continuous functions.
Page 127: Problems 2, 6, 10, 14, 22, 30, 32, 52, 54.


Thursday 9/18 Continuity. Side limits. 
Page 137: Problems 5, 7, 11, 28, 32, 42, 46, 48
Quiz #2:  Solutions
Page 69: Problems 41, 55, 71, 74, 90, 100
Problems from best fitting line handout.
Review Problems: Page 77:  2, 6, 9, 12, 15
WebWork HW2 closes at 11 am.
Tuesday 9/23
Limits involving infinity.  Sandwich theorem and applications.
Page 142:  Problems  2, 5, 9, 13, 15, 27, 29
Page 148:  Problems 1, 7, 11, 13, 17


Thursday 9/25 Definition of derivative.
Page 177: Problems 14, 16, 21, 26, 32, 37, 38

Quiz #3:  Solutions
Page 127: Problems 2, 6, 10, 14, 22, 30, 32, 52, 54.
Page 137: Problems 5, 7, 11, 28, 32, 42, 46, 48

Tuesday 9/30

Differentiation rules: addition, product, quotient.
Page 183: Problems 12, 36, 68, 74.
Page 192: Problems 6, 18, 26, 32, 46, 66, 71, 78, 86.


WebWork HW3 closes at 11 am.
Thursday 10/2 The chain rule.
Page 209: Problems 14, 24, 32, 34, 38, 42, 44
Quiz #4:  Solutions
Page 142:  Problems  2, 5, 9, 13, 15, 27, 29
Page 148:  Problems 1, 7, 11, 13, 17
Page 177: Problems 14, 16, 21, 26, 32, 37, 38

Tuesday 10/7 Derivative of logarithm and exponential.
Implicit Differentiation.
Page 209:  Problems 49, 51, 57, 63, 69.
Page 221:  Problems 14, 20, 42, 54, 60, 64.
Page 234:  Problems 28, 36, 40, 46, 50. 
Review at 6 pm.  LGRC A201.

WebWork HW4 closes at 11 am.


Thursday 10/9 Hour Exam # 1.  In class.  Solutions
The exam will cover the material seen in class through
Thursday 10/2.
Proofs you must know.

Tuesday 10/14 No Class -  Monday Schedule


Thursday 10/16

Higher Derivatives.  Logarithmic differentiation.
Page 209:  80, 83, 85, 87
Page 234:  65, 67, 71, 75
Page 243:  17, 19, 21, 27, 35

Tuesday 10/21

Linear approximations.
Page 241: 4, 8, 16, 20, 32, 38, 44, 46


Thursday 10/23

Global and local extrema.  Critical points.
Page 259: Problems 6, 8, 18 (no calculator)
                 Problems 24, 32.
WebWork HW5 closes at 11 am.
Quiz #5:  Solutions.
Page 209:  Problems 49, 51, 57, 63, 69, 80, 83, 85, 87.
Page 221:  Problems 14, 20, 42, 54, 60, 64.
Page 234:  Problems 28, 36, 40, 46, 50, 65, 67, 71, 75.
Page 243:  17, 19, 21, 27, 35.

Tuesday 10/28

Mean Value Theorem.  Increasing and decreasing functions.
Page 259: Problems 36, 42, 48, 54
Page 270: Problems 12, 20, 26, 28, 32

Thursday 10/30

Concavity.  Inflection points.  Second derivative test for
local extrema.
Page 270: Problems 12, 20, 40, 41
Page 287: Problems 10, 12, 21, 34, 40
WebWork HW6 closes at 11 am.
Quiz #6:  Solutions
Page 241: 4, 8, 16, 20, 32, 38, 44, 46
Page 259: Problems 6, 8, 18 (no calculator)

                 Problems 24, 32.
Tuesday 11/4

Optimization problems.  Handout
Page 296: Problems 2, 4, 7, 9, 12, 16, 22

Thursday 11/6

Optimization problems.
WebWork HW7 closes Mo. 11/10 at 11 am!!
Quiz #7:  Solutions
Page 259: Problems 36, 42, 48, 54

Page 270: Problems 12, 20, 26, 28, 32, 40, 41
Page 287: Problems 10, 12, 21, 34, 40
Tuesday 11/11

No Class.  Veteran's Day

Wednesday 11/12
Tuesday Class Schedule!
L'Hospital's rule.
Page 307: Problems 9, 11, 15, 17, 22, 31, 38, 47, 48

Thursday 11/13

Antiderivatives.
Page 330: Problems 7, 13, 19, 29, 43, 53, 67

Quiz #8:  Solutions
Page 296: Problems 2, 4, 7, 9, 12, 16, 22
Tuesday 11/18

The Newton-Raphson method for finding roots.
Page 324: Problems 1, 2, 3, 5.
Review: 6 pm, LGRT 123


WebWork HW8 closes at 11am
Thursday 11/20

Hour Exam # 2.  In class.  Solutions
It will cover all the material discussed
in class from Tuesday 10/7 to Thursday 11/13.

Tuesday 11/25

The definite integral as a limit of Riemann sums.
Applications: area, total distance, average of a function.

Thursday 11/27

No Class -  Thanksgiving.
Tuesday 12/2

The definite integral.
Fundamental Theorem of Calculus.
Page 357: 59, 62, 64, 68, 80, 84.
Page 371: 10, 18, 36, 52, 104.

Thursday 12/4

Using antiderivatives to compute definite integrals.
Area between two curves.
Page 371: 106, 116, 118, 125
Page 392: 4, 8, 12, 26


Tuesday 12/9

No new material.
WebWork HW9 closes at 11am
Quiz #9:  Solutions
Page 324: Problems 1, 2, 3, 5.

Page 357: 59, 62, 64, 68, 80, 84, 106, 116, 118, 125.
Page 371: 10, 18, 36, 52, 104.
Page 392: 4, 8, 12, 26

Thursday 12/11

Last Class.
Mean value theorem for integrals.
Volumes of solids of revolution.
This material will not be included in the final exam.

Monday 12/15


WebWork HW10 closes at 11am
Tuesday 12/16
Review, 6:15 pm.  LGRC A203



Thursday 12/18

Final Exam -- 8:00 am

LGRC A203
Solutions


Thursday 1/1/09

Happy New Year!