Applied Math Analysis Syllabus - Spring 2001
Course Number: MATH-5404.502
Course Time: Tuesday 7:00-9:45 PM
Course Location:  CB1.106
Course Instructor: Saleet Jafri, 972-883-4436,
Office Hours: Tuesday 5:00-7:00 PM or by appointment in EC 3.908
Course Problem Session: Section 802 Thursday 8:30-10:20 PM in CB1.124 or
                                          Section 804 Saturday 10:00-11:50 AM in CB1.124
Course Teaching Assistants: Troy Banks (Section 802) and Sara Weiss (Section 804)
Prerequisites: Math 5300  or equivalent
Textbook: Calculus with Applications 6th Edition by Lial, Greenwell and Miller. Addison-Wesley. (A student solution manual is available).
Course Description: To provide an understanding and motivation of the fundamental ideas of calculus, skill in using calculus techniques, and facility in applying calculus to economic and business analysis and modeling problems.  Applications to be examined include models of coninuously compounded interest, depreciation to salvage value, learning curves in market penetration, valuation of income streams with interest or variability assumptions, optimal allocation of resources, Cobb-Doublas models, estimating constant production compensations, relation of marginal and average cose and revenue, effects of elasticity, and a variety of minor exercises involving scheduling, transportation, and inventory models.  Students will be expected to relate the problems and their language to the mathematics and apply it correctly.

Grading Policy: The course grade will be determined as follows:

Quizzes - 20%                                                                  90-100 A
Exam 1 - 20%                                                                   80-89.9 B
Exam 2 - 20%                                                                   70-79.9 C
Cumulative Final - 40%                                                   0-69.9 F

Homework assignments will be assigned at the end of each class and will be posted on the course web page.  Homework will not be collected, but it is essential to do the homework to do well in the course.

Eleven quizzes will be given at the beginning of the problem session (not every problem session will have a quiz). The quizzes will last about 15-20 minutes. Of the 11 quizzes, only the top 10 grades will be counted toward the quiz grade. If a quiz is missed, it will be the one that is dropped.

All students are expected to take the exams at the announced time. If there is a conflict and you cannot make an exam, let me know beforehand so we can agree upon a procedure to make up the exam. In order for you not to get a zero on the exam we must have agreed upon a make up procedure.  On exam days, lecture will be held from 8:35-9:45 PM (after the exam).

Academic Honesty Policy: Academic dishonesty will not be tolerated. This includes cheating, plagiarism, and falsification of academic records. That being said, you can help each other out on the homework (this does not mean that you can copy each other's homework).

Calculators: You may use calculators in this class. However, you will have to show your work to get the problem solution during the quizzes, exams, and final exam unless explicitly stated to the contrary.

Course Schedule:
Course Week Dates Event Comments
1 January 23 Diagnostic Test During Class 
2 January 30 Quiz 1  During Problem Session
3 February 6 Quiz 2 During Problem Session
4 February 13 Quiz 3  During Problem Session
5 February 20 Exam 1 During Class 
6 February 27 Quiz 4  During Problem Session
7 March 6 No Class Spring Break 
8 March 13 Quiz 5  During Problem Session
9 March 20 Quiz 6  During Problem Session
10 March 27 Quiz 7  During Problem Session
11 April 3 Exam 2 During Class 
12 April 10 Quiz 8  During Problem Session
13 April 17 Quiz 9  During Problem Session
14 April  24 Quiz 10 During Problem Session
15 May 1 Quiz 11  During Problem Session

Important Dates:

Tuesday, February 20, 2001, 7:00-8:25 PM  - Exam 1
Tuesday, April 3, 2001, 7:00-8:25 PM - Exam 2
Tuesday, May 8, 2001, 7:00-9:45 PM - Final Exam

Sage advice:

If you want to do well in the course: 1) Do all the homework. If possible do extra problems to get additional practice. The more problems you have done the better you will do on the quizzes and exams. 2) Ask questions in class and the problem sessions. 3) If you are having difficulty doing the homework or in the quizzes, see the instructor, teaching assistant, or go to the Math Lab (MC2.408) for additional help.

Course Coverage:
Chapter 3 - the Derivative 7.1 - Substitution
3.1 - Limits 7.3 - Area and the Definite Integral
3.2 - Continuity 7.4 - The Fundamental Theorem of Calculus
3.3 - Rates of Change 7.5 - The Area between Two Curves
3.4 - Definition of the Derivative Chapter 8 - Further Techniques and Applications 
of Integration
Chapter 4 - Calculating the Derivative 8.1 - Integration by Parts
4.1 - Techniques for Finding Derivatives 8.2 - Volume and Average Value
4.2 - Derivatives of Products and Quotients 8.3 - Continuous Money Flow
4.3 - The Chain Rule 8.4 - Improper Integrals
4.4 - Derivatives of Exponential Functions Chapter 9 - Multvariable Calculus
4.5 - Derivatives of Logarithmic Functions 9.1 - Functions of Several Variables
Chapter 5 - Graphs and the Derivative 9.2 - Partial Derivatives
5.1 - Increasing and Decreasing Functions 9.3 - Maxima and Minima
5.2 - Relative Extrema 9.4 - Lagrange Multipliers
5.3 - Higher Derivatives, Concavity, and the Second 
Derivative Test
9.5 - Total Differentials and Approximations
5.4 - Curve Sketching 9.6 - Double Integrals
Chapter 6 - Applications of the Derivative Chapter 10 - Differential Equations
6.1 - Absolute Extrema 10.1 - Solutions of Elementary and Separable 
Differential Equations
6.2 - Applications of Extrema 10.2 - Linear First-Order Differential Equations
6.3 - Further Business Applications 10.3 - Applications of Differential Equations
6.4 - Implicit Differentiation Chapter 11 - Probability and Calculus
6.5 - Related Rates 11.1 - Continuous Probability Models
6.6 - Differentials 11.2 - Expected Value and Variance
Chapter 7 - Integration 11.3 - Special Probability Density Functions
7.1 - Antiderivatives


Saleet Jafri

Last Modified: January 25, 2001