Math 101

Fall 2008

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

9/3

Group Wksheet: Problems

Homework Assignmt1

Introduction

 

Take Math Readiness Test on Blackboard.

 Do: Syllabus Scavenger Hunt

9/5 F

 

 

 

 

 

 

 

2

F

9/5   

Differences between HS/College Math; Functions Worksheet

S1.1

S1.1#1, 9, 11, 13

S1.1 #10, 16, 18abc, 20 (hand in )

Review of Lines worksheet & Graph paper (use in class)

 

9/8 M

3

M

9/8  

Answer Key: Review of Lines

CO2 Modeling 1 & 2

S1.2

S1.2 #3, 16

S1.2 #4, 10, 15, 19

9/15 M

4

W

9/10 

Shifting graphs worksheet

S1.3

S1.3#7, 9, 17, 23,

S1.3#4, 6, 10, 11, 13, 18, 28*

* indicates a more challenging problem.

9/15 M

5

F 9/12 

Composition of Functions Tangent Line worksheet, Answer Key

S1.3

S2.1, p 61-63

S.1.3#31, 37, 41, 51abc

S1.3#32, 38, 42, 46, 50abc

S2.1 #4 (Start by first graphing this function-use their shift techniques - and sketching on your graph the tangent line through P(3,1).  )

9/15 M

 

 

 

 

 

Group Assignment on Linear Modeling of CO2 concentrations: instructions are in Blackboard; in the Assignments section.

9/19 F

6

M 9/15

Velocity,

Wksht: Tangent From Table, Answer Key

Algebra Review 1

S2.1, p. 63-64

S2.1 #1, 5

S2.1#2, 6, 7

9/22M

7

W 9/17

Limit of function

Mathematica for Limits, pdf of Mathematica file.

S2.2, p. 66-71

S2.2 #2, 3, 5, 7, 17

S2.2 #1, 4, 6, 10, 18, 24

Trig Review Sheet (for class on Mon)

Answer Key

9/22M

9/22M

8

F 9/19

Infinite Limits

Mathematica for Infinite limits worksheet.

S2.2, p. 72-74

S2.2 # 9, 25, 27

S2.2 # 8, 26, 28

9/22M

 

 

 

 

 

Mathematica Assignment A: Hand in a print out of your Mathematica file.

9/29 M

9

M 9/22

Calculating Limits

Trig Group Wksheet, Answer Key

S2.3, p. 77-84

S.2.3 #3, 5, 9

S. 2.3 #2ad, 4, 6, 8

9/29 M

10

W 9/24

Continuity

Continuity worksheet, Answer Key

S2.3, p. 77-84

S2.5

S.2.3#11, 13, 15, 17, 19- 20

S. 2.5 # 1, 11, 15, 17

S. 2.3 #12, 16, 20, 22

S. 2.5 # 7, 10(show using limit laws), 16, 19

9/29 M

11

F 9/26

Derivatives

S3.1

S. 3.1 #3,   22, 42ab

S.3.1 # 13, 16, 17,  21,  39, 41ab

Play with the program that graphs the secant lines at Tools for Enriching Calculus.

9/29 M

 

 

 

 

 

Mathematica Assignment B.   

10/6 M

12

M 9/29

Derivatives

S3.1

S. 3.1 #9ab, 20, 32, 40

S. 3.1 #11, 14, 19, 31, 33, 37 , 47

10/6 M

13

W 10/1

Derivative as function

S3.2,

S.3.2 # 2, 13, 20

S.3.2 #1, 2, 12, 17

10/6M

14

F 10/3

Differentiation formulas

Information about 1st midterm.

Derivative worksheet. : sum, difference,

S3.3, p. 135-138

S. 3.3 #1-9 (for 6, 7 multiply out first)

 S.3.3 # 5, 13 (expand out), 45 (just find f’(x)), 54 (expand out; only find tangent line), 89* (challenge problem)

10/6 M

 

 

 

 

BONUS POINTS OPPORTUNITY

Attend the math panel, 3pm, Rm. 243. Write a couple paragraph (one page) “reaction paper” to what you hear.

10/6 M

15

M 10/5

Differentiation formulas:

Product, quotient. Derivative 2 Worksheet.

This material will not be on 1st mid-term.

S3.3 p. 138-144

 

S.3.3 #10-20 and 21-42

S.3.3 #14, 15, 17, 21, 25, 33, 35, 37, 55 (only find tangent line), 71.

10/20 M

16

W 10/8

Test Review worksheet

 

 

 

 

17

F 10/10

Midterm 1: this will be a take home test. (Instructions for review process).

Instructions for the Exam.

 

 

I will hand out test on Wed. It will be due back by 5pm on Friday.

 

 

Fall Break

 

 

 

 

 

 

 

Mathematica Assignments

 

 

Mathematica C

Mathematica D

Mathematica E

10/24 F

10/31 F

11/7 F

 

 

 

 

 

1st Connections paragraph. Put in Discussion Board on Blackboard site.

10/27 M

18

M

10/20

Trig review, Derivatives of Trig functions

Trig Investigation

Test1 Info

Survey on Review Proceedure

S3.4

S.3.4 #2, 9, 10, 16*, 18, 20, 22

S.3.4#1, 5, 13, 23, 33,

 

10/27 M

 

 

 

Test Redo Information

 

 

List of problems to do before retaking the exam.

Instructions for Test Redo

Note: after you have done your corrections and HW problems, you can look at the answer key in the library.

 

19

W 10/22

More Trig Derivatives

S3.4

S.3.4 #4, 14, 32

S. 3.2 #34

S3.4#17, 19, 3, 15, 25a, 31

S. 3.2 #33

10/27 M

20

F 10/24

Finish Trig Der

Chain Rule

Chain Rule Worksheet

S3.5

S.3.5# 2, 4, 6

S. 3.5#1,3, 5

10/27 M

21

M 10/27

Chain Rule

Chain Rule Quick Way

S3.5

S3.5#8, 10, 12, 18, 22

S3.5#7, 9, 11, 13, 17, 21, 31, 51

11/3 M

22

W 10/29

Applications of derivatives

S3.7

 

S3.7#11a (give units), 13c, 16

S3.7#1 (do a-g; acceleration is the derivative of velocity), 7, 10, 12a(give units), 13ab, 14, 18

11/3 M

23

F 10/31

Related Rates

S3.8

S3.8#2, 3, 8, 30

S3.8#4, 5, 6, 7, 9, 13*, 31*

Do this tangent line worksheet and bring to class on Monday (do not hand in with other hw).

11/3M

 

The hw due on 11/3 will now be due on Wed 11/5. Do the worksheet for Monday though.

Green problems due next week.

24

M 11/3

Linear Approximations

Linear Approx/tangent line  Worksheet

Related Rates worksheet

S3.9

S3.9#2, 4,  26, 42a.

 

 

S3.9#1, 3, 5 (you do not have to graph), 24, 25 (hint: you need to determine f(x) and x0.), 41a.

 

11/10 M

25

W 11/5

More related rates

Going through worksheet

Related RatesWorksheet AnswerKey

S3.9

S3.8#14, 16, 30

 S3.8#13*, 15, 17, 31*

11/10 M

26

F 11/7

Max/Min of Function

Max/Min worksheet.

S4.1

 

 

 

S.4.1 # 8, 46, 52

S3.8#6, 7 (redos if you had trouble last week).

S4.1#1, 7, 9, 45, 47, 51, 53

11/10M

 

 

 

 

 

Please take survey about Midterm Redo (even if you choose not to do the Redo). Go to this link.

Take the survey before the start of class on Friday.

11/7 F

827

M 11/10

Reivew of Linearization, Graphing, 2nd Derivative

Economics Graphs

S4.3,

S.4.3 #5, 10*

MathematicaF (due M 11/17)

S.4.3#6, 9*,  11* (you may need to wait till Wed to do part c).

11/17 M

 

 

 

 

 

Information about Connections Project. By Wed Nov 19, submit your project decision slip to Prof Donnay.

End of Semester Schedule.

 

28

W 11/12

Graphing

Notes on graphing

S4.3, 4.4

S.4.3#3,

For 10* – also draw the graph. Find when f(x)=0.

S.4.3#2, 8, 20, 21, 41.

For 9*, 11* – also draw the graph. Find when f(x)=0. Graph using Mathematica to check your graph; hand in a printout of the Mathematica graphs.

11/17 M

29

F

11/14

Mean Value Theorem

Test Review Schedule Last topic for Mid-term 2

S4.2

S4.2#12, 13

S4.2 #11, 14, 15, 32

S 3.9 # 15, 19, 32a (if dx = .2 cm, find dy).

11/17 M 

30

M

11/17

Optimization

worksheet. Do the 2nd problem on the worksheet for Wed 11/19.

S4.7

 

S. 4.7 #1, 2, 7, 10, 12, 14, 47*

Mon Dec 1

 

 

 

 

 

Noon Tuesday Nov 18: hand in review list of topics with self assessment and 1 test question with answer key.

 

31

W

11/19

More on optimization. Generalized 1st/2nd Der Test for absolute max/min.

S4.7

 

 

 

 

 

Receive Mid-term practice test

 

32

F 11/21

Review for Midterm 2

Chain Rule, related rates. Then linearization, graphing.

Practice Test

Answer key for Midterm2 Practice Test.

 

 

Go over Mid-term practice test in class; get copy of answer key.

Midterm will be handed out on Friday 11/21 and will be due back at the start of class on Monday 11/24.

33

M 11/24

Anti-Derivatives

 

S4.9

 

Sect 4.9 #1-16,  27

S. 4.9 #2, 3, 5, 8, 9, 12, 16, 28, 33, 35,  38,

57 ( a(t) =  -9.8 m/s2. What is initial position and initial velocity?)

Mon Dec 8.

(There was a mix up with this – I had meant it to be due on Dec 1st but it did not get uploaded).

34

W 11/26

 

Optional Class: Hw review. Mid-terms will be handed back in class.

 

 

2nd Connection paragraph due on Discussion Board, Blackboard.  

 

 

F 11/28

Thanksgiving Break

 

 

 

 

 

 

Final Project: due 5pm on Thur Dec  11th. Optional drafts due by 4pm Mon Dec 8th.

Wed Dec 10th 4 pm. End of consulting with Prof. Donnay

 

Project Descriptions; Description of Project Writes Ups;  List of partners.

Reflection Form for project.

 

5pm on Thur Dec  11th. Optional drafts due by 4pm Mon Dec 8th.

35

M 12/1

Areas and Distances Worksheet on Areas and Boxes.

Do Answer analysis for Wed Dec 3rd.

S5.1

 

Mathematica Redos are due by class on Friday.

Extra HW problems for midterm redo.

Problems  on area under curve.

Feedback comments on Midterm.

 

Do Answer analysis for Wed Dec 3rd.

Mon Dec 8th.

36

W 12/3

Definite Integral

 What Makes a Good Answer worksheet.

S5.2

 

Midterm 2Corrections due (or on Friday if you need time); answer key available. Answer Key on reserve at Collier (also as pdf file).

 

Post a  response to someone’s Connection  paragraph (by Monday)

S.5.2# 1, 8 (plot the points), 33 (find areas of various regions).

Mon Dec 8th.

37

F 12/5

Fundamental Theorem

And Definite  Integrals

S5.3

S5.4

S5.3#19-34 (do as many of these as you want).

Midterm 2 extra HW problems due; answer key available.

 

Worksheet on Definite Integrals (keep separate from regular hw).

 

S.5.1#12, 15

S.5.3 # 19, 22, 23, 25, 27, 29, 34,

S5.4 #31

 

 

 

 

 

Mon Dec 8th.

 

 

 

 

Mon Dec 8th.

38

M 12/8

Proof of Fundamental Theorem

S5.4

Final Exam Review List

Midterm 1 Review

Midterm 2 Review

Midterm 2 Redo due.

Draft of Project due at 4pm.

 

39

W 12/10

Last Class

 

 

Questions about project until 5:30 pm.

 

 

Thur 12/11

 

 

 

Connections Project due at 5pm.