Binghamton University MATH 220 Supplemental Materials

MATH 220 - Calculus for Business and Management
Supplemental Materials

Below you will find links to worksheets and videos that align roughly with each section in the textbook. They may aid in your understanding of the material. Watching the videos and completing the worksheets is optional, unless specified otherwise by your instructor. However you use them, do NOT consider the worksheets a substitute for doing and understanding the homework problems in the textbook, and do NOT consider the videos an ample substitute for attending class.

Click here for solutions to all worksheets.

SECTION IN TEXT	WORKSHEETS	VIDEO LINKS
1	Worksheet 1	None
2	Worksheet 3 Worksheet 4 Worksheet 8 Worksheet 9 (only first 3 exercises)	Exponent Rules Negative/Fractional Powers Solving Quadratic Equations by Factoring The Quadratic Formula Composition of Functions Decomposition of One Function Decomposition of a Second Function Evaluating and Graphing Piecewise Functions
3	Worksheet 2	None
4	Worksheet 5 and 6	Graphing Exponential Functions Solving Exponential Equations Introduction to Logarithms Inverse Properties of Exp/Log Properties of Logarithms Using Inverses to Solve Equations Change of Base
5	Worksheet 7	Annual Compound Interest Formula Compounding More Than Once Per Year Formula for Continuous Compounding Effective Interest Rate
6	Worksheets 10 and 11	Finite Limits: Polynomials and Rational Functions Practice for Finite Limits Right/Left Limits of Type #/0 Graphs of such functions Limits of Piecewise Functions Limits of Piecewise Functions (part 2) Limits of Rational Functions (DNE) Limits of Rational Functions (Zero) Limits of Rational Functions (Ratio of Coefficients) Limits Involving a Square Root
9	Worksheet 9 (Exercise 4 only)	Continuity of Piecewise Functions
20	Worksheet 12	Horizontal Asymptotes
7	Worksheet 13	None
8	Worksheet 13	Definition of Derivative Derivation Derivatives Using the Limit Definition
10	Worksheet 14 Worksheet 19	Basic Derivatives and Power Rule Product Rule Quotient Rule
11	Worksheet 15 Worksheet 16	Demonstration of Chain Rule (Part 1) Demonstration of Chain Rule (Part 2) Chain Rule Example with Roots Chain Rule Example with e Derivatives of Exponential and Logarithmic Functions
12	Worksheet 17	Derivatives Using Leibniz Notation Higher-Order Derivatives (Part 1) Higher-Order Derivatives (Part 2) Rectilinear Motion Marginal Values and Estimating Changes
13	Worksheet 20	Implicit Differentiation Second Derivative Example
14	Worksheets 21 and 22	Explaining Related Rates Problems Solving Related Rates Problems
15	None	None
16	Worksheet 18	Average and Instantaneous Rates of Change Mean Value Theorem Intermediate Value Theorem Example
17-21 (Curve Sketching)	Worksheets 23, 24, and 25 Worksheet 26	Finding the Domain Horizontal Asymptotes Explained Limits and Vertical Asymptotes Intercepts of Rational Functions Graphing Using First Derivative (Part 1) Graphing Using First Derivative (Part 2) Graphing Using Second Derivative Curve Sketching Using a Chart Graph Sketching Summary Finding Signs of Derivatives First Derivative Test for Relative Extrema Second Derivative Test for Relative Extrema
22	Worksheet 27	Finding Absolute Extrema
23	Worksheet 28 Worksheet 30	Maximizing Profit Maximizing Area Minimizing Cost
24	Worksheet 29	Elasticity Part 1 Elasticity Part 2
25	Worksheet 40	Solving Equations with 2 Variables Solving Equations with 3 Variables
26	Worksheets 41 and 42	Functions of Two Variables
27	Worksheets 41 and 42	First-Order Partial Derivatives Second-Order Partial Derivatives
28	Worksheet 43	Locating Local Extrema
29	Worksheets 44 and 45	Lagrange Multipliers
30	Worksheet 31	Indefinite Integrals Integrals of 1/x Type Position/Velocity/Acceleration 1 Position/Velocity/Acceleration 2
31	Worksheet 32	Substitution Method Simple Substitution Problems Substitution Example
32	Worksheet 33 Worksheet 34	Introduction to Integration by Parts Monomial-Logarithm Example Integration by Parts Twice
33	Worksheet 35	Finding a Definite Integral Definite Integral with Substitution Definite Integral by Parts
34	Worksheets 36 and 37	Definite Integrals and Area Negative (signed) Area Area Between Curve and x-axis Crossing axis Area Between Two Curves
35	Worksheet 38	Average Value Review of One-Time Investment, Future Value Review: Present Value Present Value of Continuous Investment
36	Worksheet 39	Improper Integral Example 1 Improper Integral Example 2