FAYETTEVILLE STATE UNIVERSITY
Department of Mathematics and Computer Science
Course Syllabus, Fall 1998
e-mail me kerbaugh@foto.infi.net
Go to a Tutorial for the K2 Ski Problem
Visit the New Tutorial On Generalized Rate Tables
Java Program for Plotting Secant Lines
Translation and Stretching Functions
Tutorial on Piecewise Functions
Graph a Function and It's Derivative
Patrik Lundin's Graphing Calculator
Simultaneous Equation Word Problem Tutorial
| I. | LOCATOR INFORMATION: | |
| Course Offered: | Fall and Spring Semesters Yearly | |
| Year: | 1999 | |
| Course Number and Name | MATH 140 | Applied Calculus |
| Semester Hours of Credit: | 4 | |
| Time Class Meets: | 4:00 - 5:15 p.m.. | |
| Days Class Meets: | Monday, Wednesday and Friday | |
| Where Class Meets: | SBE / 145 | (Room / Bldg.) |
| Instructor's Name: | Dr. Gary Kerbaugh | |
| Office Location: | SBE 233 | |
| Office Telephone: | 486-1698 | |
| Office Hours: | MWF 11:00 - 12:00 a.m. | |
| MWF 2:00 - 3:00 p.m. | ||
| MWF 5:15 - 5:55 p.m. | ||
| Other Office Hours by Appointment | ||
| Final Exam: | May 7, 1999 ; 4:00 - 5:50 pm. | |
II. COURSE DESCRIPTION
Mathematics140 is a coure on calculus applicable to business and the social sciences. As such, it incorperates a review of college algebra with studies of linear equations. functions and their limits, derivatives, applications of derivatives, exponential and logarithmic functions, antiderivatives, definite integrals with applications, and numerical techniques with applications. The course is designed mainly for business and social science majors. A graphing calculator is benificial but not required.
|
Prerequisite:
|
Math 123, Math 131, or equivalent. |
III. TEXTBOOK
Hoffman, Laurence D.and Bradley, Gerald L.(1996). Calculus for Business, Economics, and the Social and Life Sciences, 6th Edition, New York, NY., McGraw Hill Company.
IV. BEHAVIORAL OBJECTIVES
The course is designed to provide the necessary mathematical background for students in Business, Economics, and the Social and Life Sciences to be able to solve a variety of modeling and optimization problems.
Competencies in calculus will be demonstrated as students apply the techniques of calculus to the solution of thes modeling and optimization problems in the classroom and on homework
V. EVALUATION CRITERIA/GRADING SCALE
There will be four tests and a comprehensive final exam. The grading scale for determining the course grade and the weights assigned to tests, final examination, and homework are given below. The in class tests and final exam will be graded on a 100 point scale. Homework will be collected randomly at a rate averaging about once a week and given a grade of either pass or fail. The homework score will depend on the percentage of passing grades assigned for collected assignments. Late homeworks will not be accepted and the final exam grade will be used as the grade for all tests that are missed. Make up tests will not be given. The lowest score for an in class test will be dropped and the class test average will be computed as in the example below. The percentage of passing homework grades will be multiplied by four, rounded, and the result added to the test average.
Example:
To see how your grade will be calculated, suppose your test scores are 85, 81, 84, and 90, your final exam score is 88 and you received a passing grade on 50% of the homework collected. Since the lowest test grade is dropped (see item 1 under COURSE REQUIREMENTS), your grade would be calculated as follows:
0.20 * [ (81 + 85 + 84 + 90) ] + 0.20 * 88 = 85.6
85.6 + .50*4 = 85.6 + 2 = 87.6 = 88
Since 88 is between 80 and 89 you would receive a grade of B.
Weights Assigned to graded materials:
| In Class Tests | 20% Each |
| Comprehensive Final Examination | 20% |
| Homework | 4% Extra Credit |
Grading Scale:
| A | 90 - 100% | Tests 80% |
| B | 80 - 89% | Final Exam 20% |
| C | 70 - 79% | |
| D | 60 - 69% | |
| F | Below 60% |
VIa*. COURSE OUTLINE and PROBLEM ASSIGNMENTS
See attached calendar.
* Subject to change by myself for the optimization of instructional assistance.
VIb. READING ASSIGNMENTS:
Read each section prior to the presentation of the topic in class.
VII. COURSE REQUIREMENTS
Conduct of Course/Classroom Decorum
| 1. | Students are responsible for availing themselves of all class meetings, Tutorial sessions, computer lab sessions, and individual help from the instructor. There are computer software tutorials available for your use in the Helen Chick Building, second floor and SBE 216A. (See the Lab Assistants) Each student should have a textbook and graphing calculator during each class meeting. |
| 2. | Students are responsible for maintaining a notebook of problems selected by the instructor. Students are encouraged to include as many additional problems as is possible |
| 3. | All tests will be announced prior to their administration. Since the lowest test will be dropped no make-up test will be given. There will be a test given at the end of each chapter, except possibly for chapter 6, and there will be a comprehensive final examination given. |
| 4. | Students are expected to enter the classroom on time and remain until the class ends. Late arrivals and early departures will be noted in the record book. The class attendance policy set forth in the 1996-1998 FSU Catalogue will be strictly adhered to. |
| 5. | Students must refrain from smoking, eating, and drinking in the classroom. The rights of others must be respected at all times. |
| 6. | Students are encouraged to ask questions of the instructor in class and to respond to those posed by the instructor. They should not discourage others from asking or answering questions. Other students often have the same questions on their minds, but are hesitant to ask. |
| 7. | Students are expected to complete all class assignments and to spend adequate time on their class work and to read each topic prior to class discussion to insure that the course objectives are met. Two hours of home study is expected for each hour of class. |
| 8. | Talking in class between students is strictly unacceptable. Discussions should be directed to the instructor. |
| 9. | Extra recitation periods and/or computer lab attendance are mandatory for students whose grades fall below C. They must meet the instructor to arrange for extra activities. |
| 10. | Dishonesty on graded assignments will not be tolerated. Students must neither give nor receive help on any work to be graded. The University policy on cheating will be applied to any violations. The minimum penalty will be a grade of zero on the assignment. |
VIII. REFERENCES
Anton, Howard, (1991) Calculus with Analytic Geometry, John Wiley and Co. New York, NY.
Swokowski, Earl W. (1991) Calculus with Analytic Geometry, PWS-Kent and Publishing Co., Boston, MA
Other books (both textbooks and workbooks) are available in the FSU Chesnutt Library.
IX. TEACHING STRATEGIES
This course combines lectures with interactive discussions geared toward motivating and imparting modeling skills. Students are encouraged to form cooperative learning groups. I have, in the past, met with such groups.
X. COURSE OUTLINE WITH ASSIGNMENT SCHEDULE*
| MO | DA | Sec | LECTURE | ASSIGNMENT |
| Jan. | 11 | 1.1 | Functions | HandOut, p.8 #1-11 |
| Jan.. | 13 | 1.1 | Functions |
p.9 #12, 13, 17, 22, 27-39 odd, 42, 44, 47-49, 51, 55, 56, 58, 59 p.26 #3, 5, 9, HandOut #3, 5 |
| Jan. | 15 | 1.2 | Graphs of Functions | p. 26 #11-17odd, 25, 26, 37-41, 49, 50 |
| Jan. | 18 | Martin Luther King's Bithday | ||
| Jan. | 20 | 1.3 | Linear Functions | p. 41 #1, 4-6, 9, 15-22, 25-27 |
| Jan. | 22 | 1.3 | Linear Functions | p.41 #31, 32, 35-40 For All, Identify the slope in English |
| Jan. | 25 | 1.4 | Functional Models |
p. 42 #33, 34, 43, 44, 46, 51 and interpret the slope of each p. 58 #1, 2, 5-7 |
| Jan. | 27 | 1.5 | Functional Models | p. 58 #9, 11, 13, 25-28, 33-35, 39-44, 51 |
| Jan. | 29 | Limits and Continuity |
p. 76 #1-7, 9, 14, 17, 19 p. 89 #15, 23 |
|
| Feb. | 1 | Limits Involving Infinity: Asymptotes |
p. 58 #30-32 p. 86 #1, 5, 7, 11, 13, 21, 24, 33 p. 89 #9, 16, 18, 19, 21, 22, 24 and interpret the slope of each. |
|
| Feb. | 3 | Review | ||
| Feb. | 5 |
TEST #1 |
||
| Feb. | 8 | 2.1 | The Derivative | p. 108 #1, 3, 4, 5, 9, 10, 11 |
| Feb. | 10 | 2.1 | The Derivative |
p.108 Using Difference Quotient: #19, 20, 24, then redo 9-12 p. 108 Using Power Rule: #13-17, 22, 22, 26-28 |
| Feb. | 12 | 2.2 | Techniques of Differentiation | p. 117 #1, 8, 10, 21, 26, 31, 33-36, 42-44 |
| Feb. | 15 | 2.3 | The Derivative as A Rate of Change |
p. 128 #3, 6, 9, 12, 17, 20, 28-31, 40 Interpret answers for #9bc, 12a, 17a, 28b-31b |
| Feb. | 17 | 2.3 | The Derivative as A Rate of Change |
p. 128 #7, 11, 32 p. 140 #5, 8, 10, 11, 17, 18, 29-31 |
| Feb. | 19 | 2.4 | Aproximations by Differentials; Marginal Analysis |
p. 140 #7, 9, 12, 18, 23 p. 153 #1, 3, 4, 7, 14, 17, 18 |
| Feb. | 22 | 2.5 | The Chain Rule | p. 153 #21, 24, 27, 32, 37, 39 |
| Feb. | 24 | 2.6 | Related Rates | |
| Feb. | 26 | 2.7 | Higher Order Derivatives | |
| March | 1 | Review | ||
| March | 3 | TEST #2 | ||
| March | 5 | 3.1 | Relative Extrema | p.196 #1-5, 7, 9 |
| March | 8-13 | Spring Break | ||
| March | 15 | 3.1 | Relative Extrema | p.196 #9, 15, 17, 25, 27, 31, 35, 37, 38 |
| March | 17 | 3.2 | Concavity and Curve Sketching | p.213 #1-3, 7, 11, 13, 15, 19, 23, 27 |
| March | 19 | 3.2 | Concavity and Curve Sketching | p.213 #28-30, 33-39, 47, 48 |
| March | 22 | 3.3 | Absolute Maxima and Minima |
p.213 #41, 43, 44, 49, 50 p.225 #3-13odd |
| March | 24 | 3.3 | Absolute Maxima and Minima | |
| March | 26 | 3.4 | Practical Optimization Problems |
p. 241 #3-8, 12, 16, 21, 27-29 |
| March | 29 | 3.4 | Practical Optimization Problems |
p. 241 #3-5, 16, 17, 19, 32, 33 p. 260 #1, 3, 5 |
| March | 31 | 3.5 | Applications to Business and Economics | p. 260 #6-8, 11, 13, 14 |
| April | 5 | 4.1 | Applications to Business and Economics | p. 260 #16-19 |
| April | 7 | Review | ||
| April | 9 | TEST #3 | ||
| April | 12 | Exponential Functions | p. 284 #1, 3, 5, 7-10, 29, 31, 33 | |
| April | 14 | Exponential Functions | p. 284 #11-27odd, 28, 30, 32 | |
| April | 16 | Exponential Models | p. 291 #2, 3, 10, 12, 13, 16, 19, 22, 25, 27 | |
| April | 19 | The Natural Logarithm | p. 305 #1, 3, 4, 6, 7, 9-11, 13, 21, 23 | |
| April | 21 | Antidifferentiation: The Indefinite Integral | p. 305 #27, 30, 32, 34, 36, 44, 45, 47, 48 | |
| April | 23 | Area and the Definite Integral |
p. 366 #1-7, 12, 16, 23 p. 397 #1, 3, 4, 8, 20, 23 |
|
| April | 26 | Applications to Business and Economics | ||
| April. | 28 | Review | ||
| April | 30 | TEST #4 | ||
| May | 3 | Review for the Final | ||
| May | 5 | Review for the Final |
* This schedule is subject to change for the optimum benefit of the class as a whole. Therefore, it is important to stay alert and attend class regularly.