CollegeAlgebraSyllabus

MAC2311 – Calculus 1 – Summer 2008

Logistics:

4 Credits, Days MTWTh, Time 12-1:10pm, Room D0004, Section 30140

Instructor:

Mike Keller, Room D19, (904) 276-6826, MikeKeller@sjrcc.edu

Office Hours: MTWTh 7:30-8am, 1:15-3:15pm

Course Description:

Topics include limits, derivatives, and integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Applications include tangent lines, rectilinear motion, related rates, curve sketching, and optimization.

Prerequisite:

MAC1147 Precalculus with a grade of C or higher

Textbook and Resources:

Calculus, 8^th edition, Larson/Hostetler/Edwards, Houghton Mifflin

Complete Solutions Manual (library), Videotapes (library), EduSpace (online tutorial)

A Texas Instruments TI-83 or TI-84 graphing calculator is highly recommended.

Assessment:

12 quizzes (10 points each), 5 tests (60 points each), 1 cumulative final exam (100 points)

The two lowest quiz scores will be dropped.

The sum of the remaining points earned will determine the letter grade.

Grading scale: 450-500 A, 400-449 B, 350-399 C, 300-349 D, 0-299 F

Course / Student Learning Outcomes:

After completing this course, the learner will be able to:

1. Calculate the limit of a function.

2. Identify at which points a function is continuous or differentiable.

3. Calculate the derivative of an algebraic function using at least two different differentiation rules.

4. Calculate the derivative of a trigonometric function using at least two different differentiation rules.

5. Calculate the derivative of an exponential or logarithmic function using at least two different differentation rules.

6. Analyze a function using derivatives and limits with respect to extrema, concavity, asymptotes and end behavior.

7. Apply derivative concepts to solve a related-rates problem.

8. Apply derivative concepts to solve an optimization problem.

9. Calculate the antiderivative of a function using a substitution.

10. Calculate the definite integral of a function using the fundamental theorem of calculus.

Make-Ups:

A student who wants a make-up must provide proof of a legitimate reason for missing the test. Make-ups for missed tests will be given at 7am the next day (except weekends and holidays). There will be no make-up quizzes.

Attendance:

A student may receive a warning when the equivalent of three 50-minute class periods have been missed and may be withdrawn from the course after the fourth 50-minute absence during the withdrawal period. The last day to withdraw is Thursday, July 10, 2008. Plan to arrive on time and stay for the entire class period. Arriving late or leaving early is a distraction to others. It is inappropriate to use cell phones or other electronic devices during class.

Academic Integrity:

The pursuit of scholarly activity, free from dishonesty, fraud, or deception, is essential to the mission of the College and to the full exercise of academic freedom. Cheating, plagiarism, fabrication of information or citations, and other forms of unethical conduct compromise the quality of education and will not be tolerated. Infractions may result in penalties or sanctions beyond those imposed by an individual faculty member.

Tentative Schedule

Date

Topic

Homework

Mon 5/12

Tues 5/13

Wed 5/14

Thurs 5/15

Mon 5/19

Tues 5/20

Wed 5/21

Thurs 5/22

Mon 5/26

Tues 5/27

Wed 5/28

Thurs 5/29

Mon 6/2

Tues 6/3

Wed 6/4

Thurs 6/5

Mon 6/9

Tues 6/10

Wed 6/11

Thurs 6/12

Mon 6/16

Tues 6/17

Wed 6/18

Thurs 6/19

Mon 6/23

Tues 6/24

Wed 6/25

Thurs 6/26

Mon 6/30

Tues 7/1

Wed 7/2

Thurs 7/3

Mon 7/7

Tues 7/8

Wed 7/9

Thurs 7/10

Mon 7/14

Tues 7/15

Wed 7/16

Thurs 7/17

Mon 7/21

Tues 7/22

Wed 7/23

Thurs 7/24

Mon 7/28

Tues 7/29

Wed 7/30

Thurs 7/31

Graph and Models (P.1)

Linear Models and Rates of Change (P.2)

Functions and Their Graphs (P.3)

Fitting Models to Data (P.4)

A Preview of Calculus (1.1)

Finding Limits Graphically and Numerically (1.2)

Evaluating Limits Analytically: Algebraic Functions (1.3)

Trigonometric Functions & Squeeze Theorem (1.3)

Continuity and One-Sided Limits (1.4)

Infinite Limits (1.5)

Test 1

Memorial Day – College Closed

The Derivative and the Tangent Line Problem (2.1)

Basic Differentiation Rules (2.2)

Product/Quotient Rules, Higher-Order Derivatives (2.3)

The Chain Rule (2.4)

Implicit Differentiation (2.5)

Related Rates (2.6)