Mathematics 400

Mathematics 150

Calculus I

Fall 2001

Time and Location: 2:00-3:20 MWF PH0304 (effective W August 22)

Labs are every other Wednesday beginning in week 2.

Instructor: Steven E. Rigdon, SL1330, (618) 650-2193, srigdon@siue.edu

Office Hours: 1:00-1:50 MF, 7:00-7:20 MW, or set up a time.

Prerequisite: MATH 125 or equivalent, with a grade of C

Textbooks: Calculus, 8th Edition by Varberg, Purcell, and Rigdon

Student Solutions Manual, Available in Bookstore (Recommended, but don’t rely too much on it. Be sure to get the 8^th Edition.)

Grading Scheme:

	Item	Points
	Best 2 of 3 50-point exams	100
	Lab Reports (5 @ 10)	50
	Group Homework (4 @ 10)	40
	Individual Homework (3 @ 10)	30
	Lab Final Exam (Wed. November 28, scheduled lab period)	60
	Final Exam (Wed. December 12, 12:00-1:40)	120
	TOTAL

Total Points	Percentage	Grade
350-400	87.5% - 100%	A
300-349	75.0% - 87.3%	B
250-299	62.5% - 74.8%	C
200-249	50.0% - 62.3%	D
0-199	0-49.8%	E

Course Schedule:

	MONDAY	WEDNESDAY	FRIDAY
August	20 2.4 Introduction to Limits	22 2.5 Rigorous Study of Limits	24 Limit Theorems *Group HW #1 Due*
August	27 Limits Involving Trig Functions	29 Limits at Infinity; Infinite Limits *LAB: Intro. to Mathematica*	31 Continuity of Functions Indiv. HW #1 Due
September	3 Labor Day	5 Two Problems with One Theme	7 The Derivative *Group HW #2 Due*
September	10 Rules for Finding Derivatives	12 Derivatives of Trig Functions *LAB: Tech. Proj. 2.1*	14 E X A M # 1 1.1 – 1.7, 2.1 - 2.9, 3.1 - 3.4

September	17 The Chain Rule *Lab Rept #1 (TP2.1) Due*	19 Leibniz Notation	21 Higher-Order Derivatives
September	24 Implicit Differentiation	26 Related Rates *LAB: Tech. Proj. 3.2*	28 Differentials and Approximations Lab Rept #2 (TP3.2) Due
October	1 Maxima and Minima	3 Monotonicity and Concavity	5 Local Maxima and Minima *Group HW #3 Due*
October	8 More Max-Min Problems	10 Skip Sophisticated Graphing *LAB: Tech. Proj. 4.1*	12 The Mean Value Theorem Lab Rept #3 (TP4.1) Due
October	15 Antiderivatives (Indefinite Integrals)	17 E X A M # 2 3.5 – 3.10, 4.1 - 4.4, 4.6 - 4.7, 5.1	19 Introduction to Differential Equations
October	22 Sums and Sigma Notation	24 Introduction to Area *LAB: Tech. Proj. 5.1*	26 The Definite Integral Lab Rept #4 (TP5.1) Due
October/ November	29 The First Fundamental Theorem of Calculus	31 Second Fundamental Theorem of Calculus & Mean Value Theorem for Integrals	2 Evaluating Definite Integrals Indiv HW #2 Due
November	5 The Natural Log Function	7 Inverse Functions and Their Derivatives *LAB: Tech. Proj. 7.1*	9 The Natural Exponential Function Group HW #4 Due
November	12 General Exponential and Log Functions	14 Exponential Growth and Decay *Lab Rept #5 (TP7.1 Due)*	16 E X A M # 3 5.2 – 5.8, 7.1 – 7.5
November	T H A N K S G I V I N G H O L I D A Y B R E A K
November	26 First-Order Linear Differential Equations	28 The Inverse Trigonometric Functions and Their Inverses	30 Hyperbolic Functions and Their Inverses
		L A B F I N A L E X A M
December	3 6.1 Area of a Plane Region	5 Review for Final Exam	7 Review for Final Exam *Indiv. HW #3 Due*
	F I N A L E X A M : 12:00-1:40 p.m., Wednesday, December 12, 2001

To Do Well in Calculus: Here are some suggestions for doing well in this class:

Come to class regularly

Come to class prepared (read the sections before they are covered in class, do the four problems in the CONCEPTS REVIEW section, and do the first two problems in each PROBLEM SET)

Promptly do all of the assigned homework. Don't get behind!!

Write clear and concise solutions to the homework, so that when you are studying for an exam, you will be able to understand what you have done.

If you have difficulty, see the instructor, the tutors in the Tutor Lab (SL1224), or another student in the class. The Tutor Lab hours will be posted early in the term. No appointment is necessary, and the service is provided free of charge. The Student Solution Manual, available in the Bookstore, may also be helpful.

Technology Projects: There will be computer labs every other Wednesday beginning in Week 2. You will be using Mathematica, a powerful package for doing calculus. Except for the first and last labs, you will be given Technology Projects to work on. (The first lab is a tutorial, and the last is the lab final exam.) These technology projects will be done in the computer lab, but turned in later. Answer the questions that are asked completely and thoroughly. Use complete English sentences. Explain what you did and what you learned; don't just tell us what your computer told you. Use Mathematica itself as your word processor. Turn in the assignments on time.

Writing: I expect excellent writing on your lab reports. On tests, you will have limited time, I don't expect as much. Do, however be careful of a few things.

The more you can explain to me (in words, pictures, equations, etc.) the more partial credit I can give. An incorrect answer showing that you began the problem correctly will get some partial credit. An incorrect answer with disorganized or missing work will get nothing.

Honor the equal sign. "=" means "equals". Don't make the following mistake:

Problem: Let and find Solution:

When you claim that two expressions are equal, they better be equal!!!

Organize. Align the equal signs. Write neatly.

Important Notes: *** No make exams ***

A grade of I can be given only under the following circumstances:

The student is prevented by a medical or similar emergency from completing a small portion of the course requirements.

The student presents valid documentation of the emergency.

The student is passing the course at the time of the emergency.

A grade of I cannot be given as an alternative to an E or UW.

Lab reports are due at the beginning of class on the date stated on the syllabus. The penalty for late work is 5 points if the assignment is turned in by the end of the day. Work will not be accepted after the due date.

The last day to drop a course without receiving a grade is August 31.

The last day to withdraw from a class without permission of adviser & instructor is October 26. You receive a W grade.

The last day to withdraw from a class or from school with permission of adviser and instructor is November 16. You receive a grade of WP if you are passing the course or a WE if you are not passing at the time you drop.

Criteria for Grading Homework and Lab Reports:

Correctness and Completeness

Response is complete and correct. Arguments are valid and reasoning is correct. All statements are unambiguous and correct.

/6

Organization and Development

Structure of report is well thought out and organized according to the appropriate style. Uses supporting elements (Figures, Tables, Mathematica code, etc.) that are accurate and appropriate. Conclusions are prominent and follow from students reasoning.

/2

Writing Style and Presentation

Report uses appropriate words. Paragraphs flow smoothly. Report shows mastery of punctuation, capitalization, and spelling. Presentation of mathematics follows established conventions.

/2

TOTAL

/10

On-Line Materials: The syllabus and homework assignments can be obtained from the links at http://www.siue.edu/~srigdon.

Homework: Most homework will not be collected for grading. However, you cannot do well in the course without doing the homework. If you have difficulty on homework problems, ask me or a tutot in the Tutor Lab. Or, send me an e-mail before class. I may decide to work the problem in class or give a hint in class.

Section

Assigned Problems

Every Section

All Concepts Review Problems (These are the four "fill in the blank" questions that begin each Problem Set.

Every Chapter

All Chapter Review: Concepts Test Problems (These are the True/False problems at the end of each chapter.)

1.1

37, 38, 40, 41

1.2

18, 30, 32

1.3

3-11 odd, 19, 21, 25, 31

1.4

1-9 odd, 17-20 all, 21, 23

1.5

7-23 odd

1.6

13-25 odd

1.7

1-15 odd, 21, 29 31, 33

2.1

1, 3, 7-37 odd, 38, 39

2.2

1-11 odd, 12-17 all, 23, 26, 29, 31, 33

2.3

1, 2, 5, 9, 11, 13, 15, 17, 25, 27, 29, 35, 45, 47

2.4

1-21 odd, 29-31 all, 33, 35

2.5

1-9 odd, 18, 20, 21

2.6

1-21 odd, 27, 28, 43

2.7

1-11 odd, 15, 17

2.8

1-23 odd, 31-34 all, 37-45 odd, 46, 47, 50

2.9

1-23 odd, 34-36 all, 39, 47

3.1

1-21 odd, 23-25 all, 29

3.2

1-15 odd, 21-31 odd, 37,39,41-45 all, 49

3.3

1-16 all, 19-41 odd, 47-57 odd

3.4

1-15 all, 17-19 all, 21-24 all

3.5

1-22 all, 23-39 odd, 43, 46, 47

3.6

1-25 odd, 27, 29, 30, 34, 37, 38

3.7

1-19 odd, 23, 25, 31, 33, 35

3.8

1, 3, 5, 13-23 odd, 33, 35, 36, 41, 49

3.9

1-15 odd, 23, 29

3.10

1-9 odd, 11-13 all, 17-19 all, 23, 25, 27, 36, 37, 38

4.1

1-7 odd, 9-13 all, 17, 19, 21, 23-28 all

4.2

1-27 odd, 29-36 all, 49-52 all

4.3

1-13 all, 15-29 odd

4.4

1-19 odd, 26, 38

4.6

1-5 all, 7-19 odd, 25, 28, 29, 31, 34, 35, 49, 53

4.7

1-21 odd, 22-26 all, 33, 35

5.1

1-31 all, 33-39 odd, 40, 41

5.2

1-7 all, 9-21 odd, 23-28 all, 31, 33, 35

5.3

1-7 odd, 9-16 all, 17-35 odd, 36-39 all, 41-47 all

5.4

1, 2, 5, 6, 7-21 odd

5.5

1-3 all, 5-21 odd

5.6

1-7 all, 13, 15, 17, 18, 19-29 odd, 30, 33-37 all, 41, 44

5.7

1-12 all, 15-23 odd, 24, 27-47 odd, 59-61 all

5.8

1-17 all, 19-23 odd, 29-37 odd, 47-52 all, 57, 59, 65, 69

7.1

1-27 odd, 31-41 odd

7.2

1-6 all, 7-37 odd

7.3

1-35 odd, 48

7.4

1-10 all, 13, 15, 17-21 all, 23, 25, 27-31 all

7.5

1-8 all, 11-19 all, 24-27 all, 32, 35

7.6

1-7 all, 15, 17

7.7

1-8 all, 19-24 all, 25-35 odd, 36-43 all, 48-53 all, 74, 75

7.8

1-7 odd, 13-23 all, 27-31 odd, 38-44 all, 53

6.1

1-10 all

Correctness and Completeness Response is complete and correct. Arguments are valid and reasoning is correct. All statements are unambiguous and correct.	/6
Organization and Development Structure of report is well thought out and organized according to the appropriate style. Uses supporting elements (Figures, Tables, Mathematica code, etc.) that are accurate and appropriate. Conclusions are prominent and follow from students reasoning.	/2
Writing Style and Presentation Report uses appropriate words. Paragraphs flow smoothly. Report shows mastery of punctuation, capitalization, and spelling. Presentation of mathematics follows established conventions.	/2
TOTAL	/10

Section	Assigned Problems
Every Section	All Concepts Review Problems (These are the four "fill in the blank" questions that begin each Problem Set.
Every Chapter	All Chapter Review: Concepts Test Problems (These are the True/False problems at the end of each chapter.)
1.1	37, 38, 40, 41
1.2	18, 30, 32
1.3	3-11 odd, 19, 21, 25, 31
1.4	1-9 odd, 17-20 all, 21, 23
1.5	7-23 odd
1.6	13-25 odd
1.7	1-15 odd, 21, 29 31, 33
2.1	1, 3, 7-37 odd, 38, 39
2.2	1-11 odd, 12-17 all, 23, 26, 29, 31, 33
2.3	1, 2, 5, 9, 11, 13, 15, 17, 25, 27, 29, 35, 45, 47
2.4	1-21 odd, 29-31 all, 33, 35
2.5	1-9 odd, 18, 20, 21
2.6	1-21 odd, 27, 28, 43
2.7	1-11 odd, 15, 17
2.8	1-23 odd, 31-34 all, 37-45 odd, 46, 47, 50
2.9	1-23 odd, 34-36 all, 39, 47
3.1	1-21 odd, 23-25 all, 29
3.2	1-15 odd, 21-31 odd, 37,39,41-45 all, 49
3.3	1-16 all, 19-41 odd, 47-57 odd
3.4	1-15 all, 17-19 all, 21-24 all
3.5	1-22 all, 23-39 odd, 43, 46, 47
3.6	1-25 odd, 27, 29, 30, 34, 37, 38
3.7	1-19 odd, 23, 25, 31, 33, 35
3.8	1, 3, 5, 13-23 odd, 33, 35, 36, 41, 49
3.9	1-15 odd, 23, 29
3.10	1-9 odd, 11-13 all, 17-19 all, 23, 25, 27, 36, 37, 38
4.1	1-7 odd, 9-13 all, 17, 19, 21, 23-28 all
4.2	1-27 odd, 29-36 all, 49-52 all
4.3	1-13 all, 15-29 odd
4.4	1-19 odd, 26, 38
4.6	1-5 all, 7-19 odd, 25, 28, 29, 31, 34, 35, 49, 53
4.7	1-21 odd, 22-26 all, 33, 35
5.1	1-31 all, 33-39 odd, 40, 41
5.2	1-7 all, 9-21 odd, 23-28 all, 31, 33, 35
5.3	1-7 odd, 9-16 all, 17-35 odd, 36-39 all, 41-47 all
5.4	1, 2, 5, 6, 7-21 odd
5.5	1-3 all, 5-21 odd
5.6	1-7 all, 13, 15, 17, 18, 19-29 odd, 30, 33-37 all, 41, 44
5.7	1-12 all, 15-23 odd, 24, 27-47 odd, 59-61 all
5.8	1-17 all, 19-23 odd, 29-37 odd, 47-52 all, 57, 59, 65, 69
7.1	1-27 odd, 31-41 odd
7.2	1-6 all, 7-37 odd
7.3	1-35 odd, 48
7.4	1-10 all, 13, 15, 17-21 all, 23, 25, 27-31 all
7.5	1-8 all, 11-19 all, 24-27 all, 32, 35
7.6	1-7 all, 15, 17
7.7	1-8 all, 19-24 all, 25-35 odd, 36-43 all, 48-53 all, 74, 75
7.8	1-7 odd, 13-23 all, 27-31 odd, 38-44 all, 53
6.1	1-10 all