COURSE SYLLABUS
MTH 120 Calculus and its Applications
Summer Semester, 1999
INSTRUCTOR: K. W. Nicholson
Phone: 256 234 6346 ext 6259 or 6264 email:
caccphysic@aol.com
Office: BS 224 Office Hours : Tuesday and Thursday 9:40 -
12:00 AM
COURSE TITLE AND CREDIT:
Math 120 Calculus and its Applications
4 Hrs Lecture/week for 10 weeks Credit: 3 semester Hours
COURSE PREREQUISITES: Math 125, Calculus I
I. COURSE DESCRIPTION:
Designed for students majoring in business curricula. Topics
include sections from calculus, linear and quadratic equations,
derivatives and related applications, mathematical sequences,
probability theory, linear programming with emphasis on business
applications, matrix algebra, elementary combinatorial analysis,
permutations if time permits.
II. COURSE OBJECTIVES: As a result of successfully completing this course the student will be able to:
1. Formulate and evaluate consumption, supply, and demand functions
2. Formulate and evaluate total cost, total revenue, and profit functions
3. Graph exponential functions
4. Convert equations from logarithmic to exponential form and vice versa
5. To evaluate some special logarithms
6. Graph logarithmic functions
7. Use properties of logarithmic functions to simplify expressions involving logarithms
8. Solve exponential and logarithmic equations representing demand, supply, total revenue, or total cost
9. Find derivatives of logarithmic and exponential functions
10. Evaluate integrals of the form ºdu/u and ºeudu.
11. Use integration to find total cost functions from information involving marginal cost.
12. Use integration to find national consumption functions from information about marginal propensity to consume and marginal propensity to save
13. Use definite integrals to find consumer Is surplus and producer Is surplus
14. Compute simple interest
15. Write a specified number of terms of a sequence
16. Find specified terms of an arithmetic sequence
17. Find the accrued amount and interest on money invested when interest is compoundedat regular intervals.
18. Find accrued amount and interest on money when interest is compounded continuously
19. Find the effective annual interest rate of money invested at compound interest
20. Find specified terms and sums of geometric sequences and series
21. Organize and interpret data stored in matrices
22. Use graphical methods to find the optimum value of linear inequalities subject to constraints
III. CONTENT AND ORGANIZATION:
1. H & B Chapter 1: Functions, limits & continuity.
2. H & B Chapter 2: The derivative.
3. H & B Chapter 3: Curve Sketching.
4. H & B Chapter 3: Max and min applied problems.
5. H & B Chapter 4: Exponential and logarithmic functions.
6. H & B Chapter 5: Integration
7. H & B Chapter 6: Applications of the Integral.
8. H & B Chapter 7: Functions of several variables.
9. H & B Chapter 8: Infinite Series.
IV. References: Lial & Miller's book by the same name.
V. Required (Graded) Assignments: 3- 100 pt tests, 1-200 point final, occasional quizzes.
VI. Evaluation Procedures: Grading System: A: 90 - 100 Accumulative percent, B: 80 - 89 Accumulative percent, C: 70 - 79 Accumulative percent, D: 60 - 69 Accumulative percent, F: 0 - 59 Accumulative percent.
VI. TEXTBOOKS CURRENTLY BEING USED:
Calculus for Business, Economics, and the Social and Live Sciences
VIII. Other Important Information:
1. Attendance: Students with more than 1 week (2 classes)
unexcused absences will be dropped from the course, as required in
the college catalog.
2. If you have a disability that may prevent you from meeting the course requirements, contact the instructor before the end of the first week of classes to file a student disability request and to discuss a reasonable plan. Course requirements will not be waived but accommodations may be made to assist you in meeting the requirements, provided you are timely in working with the instructor to develop a reasonable accommodation plan.