College Mathematics MATH 1332

David Katz, instructor

Section by Section List of Test Topics for Exam #2 (Sections 5.3, 5.4, 4A, 4B, 4C, 8A, 8B, and 8C)

The exam will consist of 25 multiple-choice questions from this list of 36 questions from your homework sections.

Note: the section numbers given below are from Part 1 and Part 2 of your textbook.

  1. (5-3) Evaluate an exponential expression on the TI graphing calculator
  2. (5-3) Know that the base of an exponential function is > 0 and ¹ 1
  3. (5-3) Know that the domain of an exponential function is all real numbers
  4. (5-3) Decide whether a table of data can be modeled by a linear or exponential function
  5. (5-3) Given an initial value and a growth rate, write an exponential function
  6. (5-3) Given a graph of an exponential function, write an approximate formula for that function
  7. (5-3) Graph an exponential function. Be sure to include the y-intercept and asymptote line in your graph.
  8. (5-3) Know basic financial terms and their symbols as used in your textbook and on your graphing calculator.
  9. (5-3) Evaluate the compound interest formula
  10. (5-3) Evaluate the continuously compounded interest formula
  11. (5-4) Evaluate a logarithm base 10 or natural logarithm on your calculator
  12. (5-4) Evaluate simple logarithms using the definition on p.426. Remember: logarithms are exponents!
  13. (5-4) Understand that exponential functions and logarithm functions of the same base are inverses (opposites)
  14. (5-4) Know that the base of a logarithm function is > 0 and ¹ 1
  15. (5-4) Review & use the properties of exponents to simplify logarithm expressions. Refer to page R52 (Part 1) or page 236 (Part 2).
  16. (5-4) Solve exponential equations by getting the same base on both sides of the equation
  17. (5-4) Solve exponential equations by taking the logarithm on both sides of the equation
  18. (5-4) Solve logarithm equations by exponentiating on both sides of the equation
  19. (5-4) Graph a logarithm function. Be sure to include the x-intercept and asymptote line in your graph.
  20. (5-4) Identify the domain of a logarithm function. Remember the input (argument) must be > 0
  21. (4A)  Know basic financial terms and their symbols as used in your textbook and on your graphing calculator.
  22. (4A)  Compute simple interest
  23. (4A)  Know how to compute Annual Percentage Yield (APY)
  24. (4A)  Know the difference between APY and APR (annual percentage rate)
  25. (4B)  Understand how to compute the following percentages: total return and annual return on investments
  26. (4B)  Use the TVM Solver on your TI graphing calculator to solve savings plan (e.g., 401k, 403b) problems
  27. (4C)  Understand mortgage vocabulary: closing costs, points, fixed-rate, etc.
  28. (4C)  Use the TVM Solver on your TI graphing calculator to solve loan, credit card, and mortgage problems
  29. (4C)  Decide when to use simple interest, compound interest, continously compounded interest, or the TVM Solver to solve finance problems
  30. (8A)  Decide whether a linear or exponential model is best for a given problem situation
  31. (8A)  Evaluate an applied problem in population growth (e.g., growth of bacteria)
  32. (8B)  Know the shortcut formula for doubling time and half-life (i.e., the Rule of 70) as on p.500 and p.503
  33. (8B)  Know how to compute doubling time for an investment or population as on p.498
  34. (8B)  Know how to compute half-life as on p.502
  35. (8C)  Compute growth rate (= birth rate – death rate)
  36. (8C)  Compute population growth as per the logistic growth rate formula

 

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