Business Calculus

Kevin Hopkins, Aug 9, 2016

A workbook created in Fall 2016 to use for Business Calculus. Most of the worksheets in this book also appear in other places. Feel free to email me at khopkins@sbuniv.edu if you think there is an error in any worksheet (please be as specific as possible-a screenshot of the error would be most helpful). I tested them quite a bit, but there could be things that come up that I didn’t encounter in my testing. I would also like to know if you used these and found them useful. If so, can you think of ways I could expand them? Some are "self check" and others have you enter the answer and GeoGebra does the checking. I would encourage you to watch an introductory video (http://youtu.be/zzz42Y_qZJw) to get a feel for how the worksheets operate.

Table of Contents

  1. Exam 1 Material
    1. Representing a Function in Four Ways-Section 1.1
    2. Tables as Functions: Solving and Evaluating-Section 1.1
    3. Graphs as Functions: Solving and Evaluating-Section 1.1
    4. Formulas as Functions: Solving and Evaluating-Section 1.1
    5. Basic Toolkit Functions-Section 1.1
    6. Graphing Functions-Section 1.1
    7. Finding Domain and Range of Functions: Section 1.1
    8. Algebra of Function
    9. Shifts or Translations-Section 1.2
    10. Reflections-Section 1.2
    11. Stretch/Compression-Section 1.2
    12. Simpler Determining the Transformation-Section 1.2
    13. More Difficulty Determine Transformation-Section 1.2
    14. Slope of a Line Given Two points-Section 1.3
    15. Slope Intercept form from Table-Section 1.3
    16. What do m and b do to graph of a line-Section 1.3
    17. Line Equation-Section 1.3
    18. Equation of Line from points-Section 1.3
    19. Matching graph with line equation-Section 1.3
    20. Simplify Expressions with Exponents-Section 1.4
    21. Simplify Expressions with Exponents, More Difficult-Section 1.4
    22. Simplify Expressions, More Complicated-Section 1.4
    23. Shifted Form of Quadratic-Section 1.5
    24. Demonstration-Quadratics-Section 1.5
    25. Quadratics and Parabolas-Section 1.5
    26. Polynomial Inequalities-Section 1.6
    27. Graphs of the Exponential-Section 1.7
    28. Matching Exponential Equations-Section 1.7
    29. Compounding Periods-Section 1.7
    30. Compound Interest-Section 1.7
    31. Logarithm to Exponential-Section 1.8
    32. Exponential to Logarithm-Section 1.8
    33. Solving Exponential Equations-Section 1.8
  2. Exam 2 Material
    1. Tangent Lines as Limits of Secant Lines with slider-Intro to Chapter 2
    2. Tangent Lines as Limits of Secant Lines/Input-Intro to Chapter 2
    3. Limits of Piecewise Functions-Section 2.1
    4. Estimating Limits-User enter the Function-Section 2.1
    5. Estimating Limits from Given Functions-Section 2.1
    6. Section 2.2-Sketching Graph of Derivative
    7. Section 2.2-Work with difference quotient
    8. Derivative Practice-Sections 2.3-2.5
    9. Section 2.7 & 2.8 Busn Calc-Increasing versus Decreasing
  3. Exam 3 Material
    1. Section 2.6-Concavity
    2. Section 2.6-Interpretations of Concavity
    3. Section 2.9-Applied Optimization
    4. Section 3.1-Areas
    5. Section 3.1-Riemann Sums
    6. Section 3.2-Graphing f from graph of f'(x).
    7. Section 3.2-Graphing f from graph of "random" f'(x).
    8. Section 3.2-Checking antiderivatives and using Fundamental Theorem
    9. Section 3.3-Antiderivatives-Multiple Choice Problems
    10. Section 3.3-Indefinite Integral
    11. Section 3.3 Antiderivative of Formulas
  4. Exam Review
    1. Worksheet for Exam Review
    2. Worksheet for three types of shared activities

Information