Calculus I
Math 131 Syllabus
Text: Stewart, Calculus, Early trancendentals,
Fourth Edition, Brooks/Cole Publishing Company, 1999
Calculator:
Each student will be expected to have and use a TI-85 or TI-86
graphics, programmable calculator. Students who insist on using a different calculator do so at their own risk.
Calculator Booklets:
Recommended as additional resources for students who are not already familiar with the TI-85 or TI-86. Available at the Textbook Annex.
- Dodd and Cruthirds, Using the TI-86 in collegiate Mathematics: A tutorial, Texas Instruments, 1997
Exams:
- Exam1: Wednesday, October 9 7:00-9:00 PM
- Derivative Test: Thursday, October 31 6:00-7:30 PM.
- Exam2: Monday, November 25 7:00-9:00 PM
- Final Exam: To be scheduled. The last day of finals is Saturday, December 21.
You will need to use a calculator on Exam1, Exam2, and the
Final Exam. No calculators will be allowed on the Derivative test.
Schedule:
- 2.1 The Tangent and Velocity Problems
- 2.2 The limit of a function
- 2.3 Calculating limits using the limits laws
- 2.5 Continuity
- 2.6 Limits at infinity; Horizontal assymptotes
- 2.8 Derivatives
- 2.9 The derivative as a function
- 1.5 Exponential functions
- 3.1 Derivatives of polynomials and exponential functions
- 3.2 The product and Quotient Rules
Wednesday, October 9: Exam 1
- 3.3 Rates of change
- 3.4 Derivatives of Trigonometric functions
- 3.5 The Chain Rule
- 3.6 Implicit Differentiation
- 3.7 Higher Derivatives
Thursday, October 31: Derivative Test
- 1.6 Inverse Functions and Logarithms
- 3.8 Derivatives of Logarithmic fubctions
- 3.10 Related rates
- 3.11 Linear Approaximations and differentials
Monday, November 25: Exam 2
- 4.1 Maximun and Minimum values
- 4.3 How derivatives affect the shape of a graph
- 4.4 L'Hopital's Rules
- 4.7 Optimization Problems
Final Exam: To be scheduled. The last day of finals is Saturday, December 21, 2002!