Math
102
Spring
2009
Prof.
Donnay
Class Materials and Homework
Assignments
* indicates a more challenging problem.
Class# 
Date 
Lecture Materials 
Textbook Reference 
HW: Practice 
HW: Hand In. 
Due Date 
1 
W
1/20 
Introduction.
Review of big ideas of calculus. 


F
1/23 F
1/23 

2 
F
1/22 
Go
over Review Sheet. Substitution
Rule, worksheet. 
S.5.5 
Any
other problems #1 – 27. 
S.5.5#2,
3, 4, 5, 6, 9, 12, 18, 19 Substitution worksheet. (will go over this with your group) 

M
1/25 
Substition rule with
endpoints; symmetry 
S. 5.5 
Any problems #3350. 
S.5.5 # 36, 37, 38, 39, 41*, 42* (symmetry) 
M 2/2 

W
1/27 
Area
under curve, between curves; slides.
Riemann
sum worksht

Any
problems #115. 
S.
6.1 #1, 5, 6, 7, 8, 13. Extra:
Solve 5 – x^{2} = x. 
M
2/2 

F
1/29 
Net
Change Theorem 
S5.4 
S.
5. 1# 5 (do all parts with n=3 intervals not with n=6) S. 5.4 #47, 49, 40, 60, 64 (use n=4
intervals) 
M
2/2 

Must have printout signed by Mathematica TA: Mon 79pm or Tue 7 – 8 pm 
W
2/4 W
2/11 

M

Volume, surfaces of revolution. Worksheet. 
S.
6.2 
S. 6.2. # 2, 3, 4, 5, 7, 8, 49* Do practice quiz3 for Wed 

W

Volume
by disks. Surface of revolution via
Mathematica. 
S.
6.3 #2, 3, 5, 8, 29 S.
6.1 #19 (integrate with dy), 21 

F

S.
6.5 #1, 4, 7, 9, 13, 16, 17. For
17: graph T(t). What is the period of sin(Pi *t/12)? 

M

Exponential
Function, Differentiation 
Do
practice quiz4 for Wed and assess it with AnswerKey. Hand in on Wed. 
W
2/11 



Mathematica
Assignments 


W
2/18 W
3/4 ?? 

W 
Exponential
Function: Integration Inverse
functions, logarithms worksheet. 
S.
7.2 S.
7.1, 
S.7.1
#3, 5, 6, 23, 
S.
7.2 # 73, 74, 75, 76, 81 S.7.1
#13, 14, 21, 24 

F 
Derivative
of Ln wksheet, Integration of Logarithm. 

Applications
of Exponential and Logarithm. Population growth, radioactive decay. Worksheet 1, 2, Mathematica
Calculations. 
S. 7. 5. #3, 5, Please try to do these for W 1/17 (although wonÕt hand in till next week) 

On
Wed 2/18, turn in a copy of your score sheet for all the quizzes including
Quiz 5. 

Exponential
growth from perspective of differential equations 
S.
7.5# 2, 9 ,
11 Read Rwanda article Do associated
population problems. 

Modeling
via Differential Equations (worksheet) 
Instructions for Midterm
prep Redo
Newspaper problem: article, instructions S.
7.5#10, 13
T(t) = temp of turkey = 75 + Ce^(kt). Use the info given to determine C and k. Then solve
the question. 

Mathematica
Assignment 2D will be due Wed March 4; no lab due this coming week due to
exam. 

Using
A + Bsin(kx) in modeling. 
What Makes a Good Answer: do this worksheet
for Wed. Bring
Index card with your formulas on one side to class on Friday for me to sign. You can use
this on test. 



18 
S.
7.6# 49, 50*, 71 (independent learning) Finish
your 1^{st} connections paragraph; post on Blackboard in the
Discussion Board. 

19 
Integration
by Parts Integral Tables worksheet (do
for FridayÕs class). Use the Integral Tables from the back of the textbook. 
Please
complete the midterm feedback survey at: 

20 
F

Using
Integral Tables and Mathematica. 



21 
M
3/16 
Improper
Integrals Answer Key to worksheet 
S.
8.8 
Using
Integral Tables Integration
by Parts 
Mathematica 2E (due Friday;
everything else due Monday) S.
8.6 1, 2, 3, 7, 8, 9  for each of these also calculate the integral using
Mathematica. Hand in a print out of your results. S.
8.1 #33, 37, 48 
F
3/20 
22 
W
3/18 

23 
F
3/20 

24 
M
3/23 
Mathematica 2F (due Friday) S.
7.8 #5, 7, 9, 11, 15, 17, 19, 21, 29 
F
3/27 (M
3/30) Change 

25 
W
3/25 
Answer Key to Mathematica
Integrals 

26 
F
3/27 
Note:
the hw for this week will all be due on Wed. rather than on Monday. The
Numerical Integration is part of the regular HW assignment. There is no
separate Mathematica assignment this week. 

27 
M
3/30 
Midterm 2 Information. Final project
information Arc
Length 
S.
9.1 
S.
9.1 #1, 3, 7, 37 (Use command NIntegrate or use
SimpsonÕs Method to evaluate. You need to determine the a
and b of the integral and the formula for the integrand). 

28 
W 4/1 
Differential
Equations: Separation of variables. Solve dy/dx = y^{3}
x^{2} for Friday class. 
This
topic will be on midterm. It is the last topic for the midterm. 

29 
F
4/3 
Application
of separable differential equations to biology. 
S.
10.3 S.
12.1 
Do
the problems on this Glucose
handout – related to #39. Do handout before you try #39. 

30 
M
4/6 
Sequences;
writing using formulas. Examples.

S.
12.1 #3, 4, 5, 7, 9, 10, 11, 13, 17, 18 (factor out n^{3} and
cancel), 20, 21, 22, 27, 28, 43, 55, 60, 61, 62 (let f(x)
= (2x3)/(3x+4). Determine if f(x) is increasing),
66, 
M
4/20 

31 
W
4/8 

32 
F
4/10 
Instructions for the exam. Midterm 2 Computer Component.
You will find the Mathematica file on Numerical Integration
useful for the computer test. You are free to cut and paste commands from
this file while you work on the exam. 

33 
M
4/13 
S.
12. 2 #3, 6. For these problems find the first ten partial sums: s_{1,s2}_{, }s_{3, }..., s_{10}.
Try to predict whether the series will converge or diverge. You can use
Mathematica with the summation command. Make a graph of the values of s_{n} as a function of n; i.e. plot the points
(n, s_{n}). 

34 
Geometric
Series; formula and convergence. Mathematica to calculate sums. 
S.
12. 2#11, 12, 13, 15, 17, 18 Each
of these is a geometric series. Write out the first few terms of the series
by hand. Determine the ÒaÓ and the ÒrÓ. Write
your second Òconnections paragraphÓ and post on Blackboard. 

35 
Bounded
or unbounded sequence of partial sums. If a_{k}
does not go to zero, the series diverges. 
S.
12.2 #21, 22, 23, 25, 26, 27 

36 
M
4/20 
Integral
Test, PTest 
Mathematica: Mystery Power
Series S.
12.3# Justify your answers. 3, 4, 6 (do substitution to evaluate integral), 7
(what is f(x) here? ), 8 (does a_{k}
> 0?), 10 (use limit laws), 11, 12, 15 
F
4/24 

37 
W
4/22 
Power
Series; Approximations to Functions 
S.
12.11 
S.
12.11. #1a (Make the graph using Mathematica), 2a, Redo
problem 1a for f(x) = cos(x)
but centered at a = x_{0} =Pi/2 and up to degree 7. 

38 
F
4/24 
More
Taylor Series and Power Series. 
S.
12. 2 #47 (geometric series), 48, 49, 50 For
Monday, do as much of the Taylor Polyn worksheet as
you can. Also:
determine the Taylor Polynomials for f(x) = sin(x)
with x_{0}=0. Take n = 1, 3, 5, 7, 9 and try to find the formula for
general n. Most
people did not notice that S. 12. 1 was part of last weekÕs hw. So please
redo that section and hand it in. If you already did it, just hand in your
answers again. S.
12.1 #3, 4, 5, 7, 9, 10, 11, 13, 17, 18 (factor out n^{3} and
cancel), 20, 21, 22, 27, 28, 43, 55, 60, 61, 62 (let f(x)
= (2x3)/(3x+4). Determine if f(x) is increasing),
66, 

39 
M
4/27 

40 
W 4/29 
Ratio
Test. 
For
Friday do problems on Ratio Test from the last page of the Review sheet for Final Also
S. 12. 8 # 3, 5, 10, 5, 19 (only find radius of convergence for these series.
Express your answer as an interval). Do
a few from each section for Friday so you can ask me questions about them. I
will post an answer key later. Answer Key to these
problems. 

41 
F
5/1 
Review Questions for Final. These
questions are linked to the List
of Topics for Final handout. 

















