Math 171          Calculus I                              Fall 2007

 

Instructor:  Dr. M. Reese               Office Phone:  233-8752  (On campus: Ext. 8752)

Office:  Eggleston 105               e-mail: mreese@vwc.edu

Office hours:  TBA

 

Dates to remember:

Holidays:

September 3, October 12, November 21-23

Tests: 

September 21,  October 26, November 19

Final: 

Thursday, December 13, 11:30-2pm

Last day to drop:

October 29

 

Catalog description:  Calculus is the mathematical language of changing quantities.  It consists of computational and graphical tools for analyzing the relationships between such quantities.  In this course, we learn the basic tools of calculus, why they work, and how to apply them in various contexts.  We consider symbolic, graphical and numerical approaches.

 

Goals: 

 

 

Required Text: 

Single Variable Calculus, Early Transcendentals, 6e, by James Stewart, Brooks-Cole, Thomson Learning, Inc.

 

Required Calculator:  TI-83 plus (If you own something else, discuss it with me before you buy the TI-83 plus.)

 

Estimated workload:  Three to six hours per week outside class preparing written homework assignments or preparing for class and tests.  If you find that you need more time than this, please discuss it with me.

 

Attendance policy:  Attendance is required.  Absence will be excused only at the discretion of the instructor.  A maximum of 3 absences will be excused without good reason.  Excessive absence will influence your grade:  Absences will reduce your grade one point for each absence in excess of 3.


 

Grading:

 

Scale:  A (90-100), B (80-89), C (70-79), D (60-69), F (below 60)

 

Homework:  The homework assignments are attached and posted on Blackboard.  You should do the homework for each section before the next class.  There will be an opportunity to ask questions about homework at the beginning of each class.  However, we will not spend much time on homework in class.  If you have extended questions about the homework, please come to my office hours.  You are encouraged to form study groups with your classmates.

 

Homework Notebook:  Keep a separate notebook for your homework.  For each section of assigned homework, you should write a one- or two-sentence summary and the important definitions and/or theorems for each the section.  You should bring your homework notebook to class everyday, but do not take class notes in it.  Your homework notebook will be collected and checked for completeness during each test.  A homework assignment will be considered complete if there is (1) a summary, (2) definitions/theorems (when applicable), and (3) neatly presented solutions for the homework problems.  Your grade will be the percentage of complete homework assignments for the semester.  Late work will not be considered complete.

 

Tests and final exam:  The tests will include problems similar to homework problems.  In addition, there may be some theoretical questions.  The final exam will be comprehensive.

 

Accommodations for students with special needs:  The standard procedures for meeting the responsibilities associated with this course can be modified for students with certain disabilities.  To qualify for such accommodation, a student must provide the College with appropriate professional documentation that confirms the presences of the disability.  To begin the confirmation process of for further information about it, contact our coordinator of disability services, Mrs. Fayne Pearson, at 455-3246

 

The instructor reserves the right to change this syllabus.

 

 

 

 


 

 

 Day-by-day

Monday

Wednesday

Friday

August 27

Introduction

Aug 29 Tangents & Velocity (2.1)

Aug 31

Limits (2.2)

Sept 3

Labor Day – no class

Sept 5

Limit Laws (2.3)

Sept 7

Continuity (2.5)

Sept 10

Limits at Infinity (2.6)

Sept 12  Rates of Change & Derivatives (2.7)

Sept 14 Derivative

Functions (2.8)

Sept 17

Group Work

  Sept 19

Review

Sept 21

Test #1

Sept 24 Polynomials & Exponential Fcns (3.1)

Sept 26 Product and Quotient Rules (3.2)

Sept 28

Trig functions (3.3)

Oct 1

Group work

Oct 3

Chain rule (3.4)

Oct 5  Implicit Differentiation (3.5)

Oct 8 Logarithmic Functions (3.6)

 Oct 10

Applications (3.7)

Oct 12

Fall Break

Oct 15 Exponential growth and decay (3.8)

Oct 17

Related rates (3.9)

Oct 19

Related rates (3.9)

Oct 22 Linear Approximation (3.10)

Oct 24

Review

Oct 26

Test #2

Oct 29

Max/Min Values (4.1)

Oct 31  Mean Value Theorem (4.2)

Nov 2 Derivative Tests (4.3)

Nov 5

L’Hτpital’s Rule (4.4)

Nov 7

Curve Sketching (4.5,6)

Nov 9 

Optimization (4.7)

Nov 12

Optimization (4.7)

Nov 14

Group Work

Nov 16

Review

Nov 19

Test #3

Nov 21

Thanksgiving Break

Nov 23

Thanksgiving Break

Nov 26  Area & the integral (5.1,2)

Nov 28  The Fundamental Theorem of Calculus (5.3)

Nov 30  Indefinite integrals (5.4)

Dec 3

Substitution (5.5)

Dec 5

Substitution (5.5)

Dec 7 Last Day

Review for Final

 

 


Homework assignments

Section in Stewart

Exercises

1

1.1#1,13,59     1.2#1,4,10,19,20    1.3#3

2.1

#1,3,7

2.2

#4—9,13,17,21,25,40

2.3

#1,2 ,11—29 (odd),33,46,47,48

2.5

#3,4,7,17,15,17,21,37,40,41,47,51,53

2.6

#3,4,7,9,11,12,15—35 (every other odd),58,59

2.7

#5,7,11,12,17,19,27,31,33,41,49

2.8

#1,3,5,7,9,12,33,34,38,41

Test #1     Limits and definition of derivative

3.1

#3-33 (odd),45,49,53,55,63,75

3.2

#3-23 (odd),27,31,43,48,53

3.3

#1-15 (odd),21,25,33,36,37,39

3.4

#1—45 (odd),378

3.5

#1,2,5,11,19,25,27,33,45,53,57

3.6

#1—23 (odd),37,39,46

3.7

#1,5,11,12,14,20,22,23,27,28,29,35

3.8

#2,5,7,9,11,15,17,19

3.9

#1,5,11,15,18,20,23,37,44

3.10

#1,3,5,11,13,15,33,40

Test #2      Derivative rules

4.1

#3,5,21,29—37 (odd), 47,53,59,72,73

4.2

#2,7,35

4.3

#1,5,7,8,14,27,31,61,64,66

4.4

#5-63 every other odd

4.5

#61,65

4.6

#34

4.7

#7,8,9,30,31,33,38,42,43,72,73

Test #3     Derivative applications

5.1

#1,2,11,13

5.2

#5,7,9,21,23,33,37,47

5.3

#2,3,7—39 (odd), 63

5.4

#5—17 (odd),47,49,52,57,68

5.5

#7-45 (odd),75

Comprehensive final exam, including area and integrals

 

 

The instructor reserves the right to change this syllabus.