PRE-CALCULUS & CALCULUS

Instructor: Marlow Anderson

Palmer 140, X6543

e-mail: Manderson@ColoradoCollege.edu

Paraprofessional: Cayman Seacrest, Palmer 138

Course Coverage: We will be covering the first five chapters of Calculus: Early Transcendentals, by James Stewart.

Philosophy of the class: Although this course is entitled "Pre-Calculus & Calculus", our goal is to study the content of Calculus I, slowly and carefully, over the two blocks of the course. This will leave us with ample time for review and reminders about the algebra skills necessary to accomplish this goal.

Class times: We will have class sessions each morning, starting at 9 a.m. There will be office hours Monday through Friday afternoons, from 1:30 to 2:30 p.m. Cayman will also have office hours available, which he will announce soon.

Daily Quizzes: On most days, I will hand out a quiz at the end of class, which you should complete by the end of that day. These quizzes are open book and open notes, but you should discuss them only with me; I highly encourage you to talk to me about quiz problems, since a lot of learning goes on in those conversations! They will typically involve problems similar to the homework. They will not involve any material only introduced that morning. On two days in the course, we will instead have a Computer Lab. The assignment given as part of that lab will be due at the beginning of the class period, two days later.

Evaluation: During this two block course, there will be 3 exams, and a comprehensive final exam. Each exam will count for 20% of your grade, and the final exam will be worth 25%. The remaining 15% of your grade will be based on your combined quiz and computer lab scores.

Homework: I will assign homework problems from the text for each day’s class. Feel free to discuss these problems with your classmates, with myself, with Cayman, and with anyone else who will listen! These assignments will be neither collected nor graded. The class the next morning will begin with a discussion of some of these problems. I will work some problems at the board, and you the students will also, on a volunteer basis. Once we are all reasonably happy with the previous day’s assignment, we will move on to the new material.

Syllabus: We will be covering the material in the textbook according to the following schedule; note in particular the scheduling of the tests and final exam.

Date

Book Sections

Topic & Notes

Jan. 24

1.1 & 1.2

Functions & Graphing;

Jan. 25

1.3 & 1.4

More Graphing & DERIVE; Lab #1

Jan. 26

1.5

Exponential Functions; Quiz #1

Jan. 27

1.6

Logs & Inverse Functions; Lab #1 due; Quiz #2

Jan. 28

2.1 & 2.2

Tangents & Limits

Jan. 31

2.3 & 2.5

Limit Laws & Continuity; Quiz #3

Feb. 1

2.6 & 2.7

Asymptotes & Tangents; Quiz #4

Feb. 2

2.8 & 2.9

The Derivative Function; Quiz #5

Feb. 3

REVIEW

 

Feb. 4

Exam #1

Covers Chapters 1 & 2

Feb. 7

3.1

Derivatives of polynomials

Feb. 8

3.2

Product & Quotient rules; Quiz #6

Feb. 9

3.3

Applications; Quiz #7

Feb. 10

3.4

Trigonometry; Quiz #8

Feb. 11

3.5 & 3.6

Chain Rule & Implicit differentiation

Feb. 14

3.7 & 3.8

Higher Derivatives, the log function; Quiz #9

Feb. 15

3.9 & 3.10

Hyperbolic functions, Related Rates; Quiz #10

Feb. 16

3.11

Approximations

 

BLOCK BREAK

 

Feb. 21

REVIEW

 

Feb. 22

Exam #2

Covers Chapter 3

Feb. 23

4.1 & 4.3

Curve Sketching

Feb. 24

4.4

Interdeterminate forms; Quiz #11

Feb. 25

4.5 & 4.6

More curve sketching; Lab #2

Feb. 28

4.7

Max/Min Problems

Feb. 29

4.8

More Max/Min Problems; Lab #2 due; Quiz #12

March 1

4.9

Newton’s Method; Quiz #13

March 2

4.10

Antiderivatives; Quiz #14

March 3

REVIEW

 

March 6

Exam #3 on Chapter 4

 

March 7

5.1

Areas & Distance; Quiz #15

March 8

5.2

The Definite Integral; Quiz #16

March 9

5.3 & 5.4

THE FUNDAMENTAL THEOREM!!!; Quiz #17

March 10

5.5

Integration by Substitution; Quiz #18

March 13

5.6

The logarithm; Quiz #19

March 14

REVIEW

 

March 15

FINAL EXAM

Covers Chapters 1-5

 

BLOCK BREAK!!!