Business Calculus MATH 1325

David Katz, instructor

Section by Section List of Test Topics for Exam #1 (Chapters 3, 4) form Business Calculus by Lial et als. (8th edition)

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

  1. In general, know how to use the properties of exponents to simplify expressions
  2. In general, know how to change radicals expressions to exponent expressions, and vice versa
  3. (3-1) Evaluate a limit from the left
  4. (3-1) Evaluate a limit from the right
  5. (3-1) Understand that   must be true for  to exist.
  6. (3-1) Evaluate a limit based on a graph
  7. (3-1) Determine whether a limit exists based on a graph
  8. (3-1) Use the limit rules (#1-4 on p.145) to evaluate a limit
  9. (3-1) Evaluate a limit by direct substitution
  10. (3-1) Evaluate a limit of a rational function after factoring and simplifying
  11. (3-1) Evaluate a limit by multiplying by a special form of one using a common denominator
  12. (3-1) Evaluate a limit at -¥ or +¥
  13. (3-2) Determine points of discontinuity based on a graph
  14. (3-2) Determine points of discontinuity of a rational function
  15. (3-2) Understand that a polynomial function is continuous everywhere
  16. (3-2) Determine points of discontinuity of a function using absolute value
  17. (3-2) Determine points of discontinuity of a piece-wise function
  18. (3-2) Know the regions of continuity for basic functions (p.162)
  19. (3-3) Compute the average rate of change for a function on the specified interval
  20. (3-3) Compute the average rate of change for a function based on its graph
  21. (3-3) Compute the instantaneous rate of change for a function at the specified x-value
  22. (3-4) Derive the derivative formula for a function using the definition of a derivative
  23. (3-4) Evaluate the derivative of a function at a specified x-value
  24. (3-4) Determine where a function does not have a derivative based on the function’s graph
  25. (3-4) Use derivatives to write an equation for the tangent line at a specified point on the graph
  26. (3-4) Understand that marginal means derivative (e.g., marginal profit means the derivative of the profit function)
  27. (3-5) Be able to approximate the graph of the derivative based on a graph of a function
  28. (4-1) Know the various notations for derivative (p.312)
  29. (4-1) Be able to use the constant rule to evaluate a derivative
  30. (4-1) Be able to use the power rule to evaluate a derivative
  31. (4-1) Be able to use the sum/difference rule to evaluate a derivative
  32. (4-1) Be able to simplify a function (by multiplying, dividing, and/or combining like terms) to facilitate finding derivatives
  33. (4-1) Determine the values at which the tangent line is horizontal (i.e., where the tangent has slope = 0)
  34. (4-2) Be able to use the product rule to evaluate a derivative
  35. (4-2) Be able to use the quotient rule to evaluate a derivative
  36. (4-2) Solve problems using marginal average cost in business

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