Math 1309-004

TTh 2:00-3:20

123 Fondren Science

Instructor: Mrs. Judy NewellPhone: 214/768-3243

Office: 208A Clements Hall Email:

10:00-11:00 MWF TA: Meg Whaley 217 Clements

12:00-2:00 MW Webpage: smu.edu/math/jnewell/jnewell.html

1:00-2:00 TTh

Grading: Quizes 10% Tests 60% Final Exam 30%

Help Sessions: MTWTh, Room 225 Clements Hall, 4:30-7:20pm

Important Dates:

Jan. 19: University Holiday, MLK Day Test #1:Feb.12

Mar. 9-13: Spring Break Test #2: Mar.5

Apr. 8: Last Day to Drop Test #3: Mar. 31

Apr. 10: University Holiday, Good Friday Test #4: Apr.16

May 5: Reading Day Final Exam: May 6,3:00-6:00 pm

Class Policies: 1. Out of respect for your classmates, you are expected to be in class on time.

Attendance will be taken at the beginning of class. Do not leave until dismissed.

Do not talk unless to ask a question.

2. You must adhere to the SMU Honor Code.

3. Students with learning differences should contact Rebecca Marin, Coordinator of Students with Learning Differences, at 214-768-4557. You shouldthen notify me so that appropriate accommodations can be arranged.

4. No late quizzes will be accepted. No make-up tests will be given.

5. Religiously observant students wishing to absent on holidays should notify the professor at the beginning of the semester and discuss acceptable ways of making up missed work.

6. Students participating in any sanctioned University extracurricular activity that requires missing class should notify the professor at the beginning of the semester and discuss acceptable ways of making up missed work.

Textbook: Finite Math & Calculus for Business Majors; Custom Edition for SMU; Barnett, Ziegler and Byleen; Pearson Custom Publishing.

Goals:

  • Students will be able to differentiate polynomials, rational functions, exponentials, logarithms, products, quotients and compositions of functions.
  • Students will be able to find limits of functions, including the ability to apply L’Hopital’s Rule.
  • Students will be able to solve optimization problems including setting up the equations, solving them and analyzing the results.
  • Students will be able to apply first and second derivative tests and concavity to curve sketching.
  • Students will be able to find antiderivatives of simple functions including the use of the substitution rule.
  • Students will be able to find the average of a continuous function.
  • Students will be able o find left and right Riemann sums.
  • Students will be able to compute simple and compound interest and present and future values of annuities.

Unit I: Limits and The Derivative (approximately four weeks)

Introduction to Limits

Continuity

Infinite Limits and Limits at Infinity

The Derivative

Basic Differentiation Properties

Marginal Analysis in Business and Economics

Unit II: Additional Derivative Topics (approximately three weeks)

Derivatives of Exponential and Logarithmic Functions

Derivatives of Products and Quotients

The Chain Rule

Implicit Differentiation

Related Rates

Unit III: Graphing and Optimization (approximately two and one-half weeks)

First Derivative and Graphs

Second Derivative and Graphs

L’Hopital’s Rule

Absolute Maxima and Minima

Optimization

Unit IV: Integration (approximately three weeks)

Antiderivatives and Indefinite Integrals

Integration by Substitution

The Definite Integral

The Fundamental Theorem of Calculus

Area between Curves

Unit V: Mathematics of Finance and Integration Applications in Business and Economics (approximately 2 weeks)

Simple Interest

Compound and Continuous Compound Interest

Future Value of an Annuity; Sinking Funds

Present Value of Annuity; Amortization

Integration Applications in Business and Economics