APPLICATIONS OF THE TI-85 IN 141-42

Ed Clark
Department of Mathematics
University of Tennessee, Knoxville

The following are notes written by Ed Clark for the teachers of Mathematics 141-142, freshman calculus sequence. The files are in PDF format and in order them you will need the Adobe Acrobat Reader software (version 2.1 or higher recommended), which is available without charge at the Adobe Web site.

CONTENTS
  1. INTRODUCTION
  2. CONVENTIONS AND NOTES
    1. Conventions
    2. Some Calculator Idiosyncrasies
      1. Complex Problems
      2. Bogus Asymptotes
      3. Calculator Reserved Names
    3. Radians/Degrees
    4. CLEAR, QUIT, EXIT
    5. Use of ":"
    6. Catalog
    7. Variable Names and Implied Multiplication
  3. RANGE SETTINGS
  4. THE TEST MENU AND PIECEWISE DEFINED FUNCTIONS
  5. INEQUALITIES
  6. SHIFTING AND SCALING
  7. DOMAINS
  8. COMBINATIONS OF FUNCTIONS
  9. TRIGONOMETRIC FUNCTIONS
  10. LIMITS
    1. Numerical Approaches
    2. Graphical Approaches
    3. The Squeeze Theorem
    4. The Limit Definition
  11. DERIVATIVES
    1. Numerical Approximations
    2. Tangent Lines
    3. Local Linearity
    4. Graphing f,f'
    5. "Cheating"
  12. NEWTON'S METHOD
  13. ABSOLUTE EXTREMA ON CLOSED INTERVALS
  14. THE MEAN VALUE THEOREM
  15. CURVE SKETCHING
  16. ASYMPTOTES
    1. Horizontal Asymptotes
    2. Vertical Asymptotes
  17. RIEMANN SUMS AND NUMERICAL INTEGRATION
  18. THE FUNDAMENTAL THEOREM OF CALCULUS
  19. THE SEARCH FOR y'=y
  20. PARAMETRIC EQUATIONS
  21. POLAR COORDINATES
    1. Graphing
    2. Examples
    3. Polar and Rectangular Coordinates
  22. SEQUENCES
    1. Displaying Sequences
    2. Graphing Sequences
    3. Recursively Defined Sequences
  23. SERIES
    1. Constant Term Series
    2. Graphing the Sequence of Partial Sums
    3. Taylor Series
  24. MISCELLANEOUS
    1. Inverse Functions
    2. The Natural Log Defined as a Integral
    3. Partial Fractions
    4. Arc Length
    5. Graphing y=f(t)
    6. Graphing Data From Tables
  25. PROGRAMS
    1. Newton's Method
    2. Numerical Integration
    3. Range Settings
    4. Graphing Sequences
    5. Graphing Partial Sums
    6. Graphing f(x,y)=0
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©1996 University of Tennessee, Knoxville, Mathematics Department