The following is a list of worksheets and other materials related to
Math 122B and 125 at the UA. Your instructor might use some of these in class. You may also
use any of these materials for practice.
The chapter headings refer to Calculus, Sixth Edition by Hughes-Hallett et al. Published by Wiley.
INTRODUCTION
- Tools for Success -A list of resources
including tutoring services. website
- Student Survey - A survey to provide background information to an instructor. pdf doc
- Calculator Checklist - A list of calculator skills that are required for Calculus. pdf doc
- Pixels and the calculator screen - An exercise to illustrate the sensitivity of the window settings. pdf doc
- Homework Sample - A few examples to illustrate how homework should be written. pdf doc
CHAPTER 1 - A Library of Functions
- Interesting Graphs - A few equations to graph
that have interesting (and hidden) features. pdf doc
- Functions - Properties of functions and the Rule of Four (equations, tables, graphs, and words). pdf doc
- Reading a Position Graph - Answer questions about motion using a position graph. pdf doc
- Reading Graphs - Four graphs and questions using function notation. pdf doc
- Find a Function - Find an example of a function in the media. pdf doc
- INDY 500 - Sketch graphs based on traveling one lap along an oval racetrack. pdf doc
- Farenheit - The relationship between Farenheit and Celsius. pdf doc
- Linear Functions - Applications. pdf doc
- Exponential Functions - Recognizing exponential functions and their properties. pdf doc
- Inverse Functions - Relationships between a function and its inverse. pdf doc
- New Functions From Old - Transformations, compositions, and inverses of functions. pdf doc
- Transformations - A matching exercise using symbolic expressions and tables. pdf doc
- More Transformations - Graphing transformation. pdf doc
- Logarithms - Using logarithms to solve problems. Properties of logas. pdf doc
- Trig Reference Sheet - List of basic identities and rules. pdf doc
- Trig (part I) -Interpreting trig functions and practice with inverses. pdf doc
- Trig (part II) - More practice. pdf doc
- Denise & Chad - An illustration of the effects of changes in amplitude and period. pdf doc
- Polynomials & Rational Functions - Recognizing polynomials and rational functions and their properties. pdf doc
- Power Functions - Use graphs to explore power functions. pdf doc
- Limits and Continuity - Graphical and numerical exercises. pdf doc
- More Continuity - Basics about continuity. pdf doc
CHAPTER 2 - The Derivative
- Introduction to Rates - Introduction to rates of change using position and velocity. pdf doc
- Representations - Symbolic recognition and illustration of rates. Practical interpretation of rates of change using the rule of four. pdf doc
- Practical Example - Reading information about rates from a graph. pdf doc
- Estimation - Estimation using tables and equations. Practice with notation and terminology. pdf doc
- Derivative Graphs - Graphing a derivative function given a graph. pdf doc
- More Derivative Graphs - Matching exercise. pdf doc
- Terminology - Fill in the blank exercise. Practice with terminology pdf doc
- Differentiability - Determine when a function is not differentiable at a point. pdf doc
- More Differentiability - More practice. pdf doc
- Practice - Additional practice covering this section. pdf doc
CHAPTER 3 - Rules For Differentiation
- Product & Quotient Rules - Practice using these rules. pdf doc
- Chain Rule - Practice using this rule. pdf doc
- Base e - Derivation of e using derivatives. pdf doc
- Rules - Practice with tables and derivative rules in symbolic form. pdf doc
- More Practice - More practice using all the derivative rules. pdf doc
- More Practice - More practice using all the derivative rules. pdf doc
- Derivative (&Integral) Rules - A table of derivative and integral rules. pdf doc
CHAPTER 4 - Using the Derivative
- Reading Graphs - Reading information from first and second derivative graphs. pdf doc
- Critical Points Part I - Terminology and characteristics of critical points. pdf doc
- Critical Points Part II - Finding critical points and graphing. pdf doc
- Families of Functions - Finding critical points for families of functions. pdf doc
- More Families of Functions - Finding values of parameters in families of functions. pdf doc
- Optimization Part I - Optimization problems emphasizing geometry. pdf doc
- Optimization Part II - More optimization problems. pdf doc
- Parametric Equations (Circles) - Sketching variations of the standard parametric equations for the unit circle. pdf doc
- Parametric Equations (Misc) - Fun graphs using parametric equations. pdf doc
- Parametric Equations - Finding direction of motion and tangent lines using parametric equations. pdf doc
- Holiday Parametric Equations - Halloween surprise. pdf doc
- L'Hopital's Rule - Practice in recognizing when to use L'Hopital's Rule. pdf doc
- Limit Practice -Additional practice with limits including L'Hopital's Rule. pdf doc
- Introduction to Related Rates - Finding various derivatives using volume of a sphere and surface area of a cylinder. pdf doc
- Related Rates - Additional practice. pdf doc
- More Related Rates -Additional practice. pdf doc
CHAPTER 5 - The Definite Integral
- Intro to Velocity and Area - Relationship between velocity, position, and area. pdf doc
- Representations - Practice with notation, estimation, and interpretations. pdf doc
- Rocket - Application of velocity and position for a model rocket. pdf doc
- Mice - Application of velocity and position for two mice. pdf doc
- Cars - Application of velocity, position, and acceleration of two cars. pdf doc
- Fundamental Theorem Part I - Graphical approach. pdf doc
- Fundamental Theorem Part II - Illustrations and notation. pdf doc
CHAPTER 6 - Constructing Antiderivatives
- Position, Velocity, & Acceleration - Graphical relationships between position, velocity, and acceleration. pdf doc
- Sketching Antiderivatives - Graphing antiderivatives. pdf doc
- Area Between Graphs - Using the Fundamental Theorem to find area between graphs. pdf doc
- Practice - Problems from chapters 5 and 6. pdf doc
- Integration - Recognizing when to use substitution. Integrands look similar. pdf doc
- Substitution - Practice, including definite integrals. pdf doc
- More Substitution - More practice. pdf doc