Math 124 Handouts

Math 124 Handouts

The following is a list of handouts and other materials related to Math 124. Your instructor may use these in class. In that case you will need to download and print out a copy of the handout(s) to bring to class.

CHAPTER 1

Tools for Success A list of resources including tutoring services.
Student Survey A survey to provide background information to an instructor.
Calculator Checklist A list of calculator skills that are required for Math 124.
Pixels and the calculator screen An exercise to illustrate the sensitivity of the window settings.
Interesting graphs A few equations to graph that have interesting (and hidden) features.
Homework Sample A few examples to illustrate how homework should be written.
Reading a Graph Answering questions about motion based only on a graph of distance versus time.
More Reading a Graph Four graphs and questions.
Rule of Three Examples illustrating the rule of three.
Find a Function Find an example of a function in the media.
INDY 500 Sketching graphs based on traveling one lap along a racetrack.
Farenheit An example about the relationship between Farenheit and Celsius.
Linear Functions Applications.
Exponential Functions Exercises involving tables, graphs, and applications of exponential functions.
Inverse Functions Questions about the relationships between a function and its inverse.
Logarithms Questions about logarithms and logarithmic functions.
Power Functions Using graphs to explore power functions.
Polynomials Basics about polynomials.
Transformations A matching exercise using symbolic expressions and tables.
New Functions from Old Using graphs to explore the effect of transformations.
Trigonometry Part I Interpreting trigonometic functions and additional practice with inverse functions.
Trigonometry Part II More practice.
Denise and Chad A practical example to illustrate the effect of changes in amplitude and period.
More Examples A collection of problems covering the Rule of Three and a variety of functions.
Rational Functions A matching exercise including practical interpretation.
More Rational Functions Basics about rational functions.
Limits and Continuity Graphical and numerical exercises.
Continuity Basics about continuity.

CHAPTER 2

Introduction Introduction to rates of change using position and velocity.
Illustrations Practice of symbol recognition and illustration of rates.
Practical Interpretation Examples of practical interpretation of rates of change using the rule of four.
Section 2.2 Finding f'(a) using numerical and algebraic methods.
True-False Practice with notation and terminology.
Derivative Graphs Graphing a derivative from a graph.
Reading a Graph Estimating a variety of quantities from a graph.
Matching Derivatives Determine which graph is f(x), f'(x), and f"(x).
Fill-in The Blank Exercise in finding the "right" words. Practice with terminology.
More Practice Six problems for review.
Differentiability Examples to illustrate the concept of differentiability.
Differentiability Part II More examples.

CHAPTER 3

Practice Extra practice using derivative rules.
Related Rates Rate problems involving time.
More Practice Using derivative rules without formulas for functions.
Fun Some interesting graphs in parametric form
Circles Circles and transformations in parametric form.
Equations Analyzing functions in parametric form.
L'Hopital's Rule Extra practice using L'Hopital's Rule.

CHAPTER 4

Critical Points Part I Finding critical points, inflection points, etc. from a graph.
Critical Points Part II Finding critical points, inflection points, etc. from an equation.
Quiz True-False Quiz
Families of Functions Part I Finding maximums and minimums of families of functions.
Families of Functions Part II More problems with polynomial families.
Optimization Part I Setting up and solving optimization problems.
Optimization Part II More problems.
Reading Graphs Questions about a function and its derivatives given a graph of either the first or second derivative.

CHAPTER 5

Intro to Area An example to illustrate upper and lower bounds using velocity of a rocket.
Practice Exercises in practical interpretation and estimation.
Rocket Questions about velocity, distance,and acceleration of a rocket using a graph.
Mice Questions about velocity and distance of two mice in a tunnel.
Two Vehicles An excel file illustrating velocity, distance, and relative position of two cars (includes graphs).
Fundamental Theorem of Calculus Construction of an antiderivative using a graph.
Illustrations Symbolic and graphical representations using the Fundamental Theorem.

CHAPTER 6,7

Position, Velocity, & Acceleration Examples focusing on graphing.
Review Extra problems reviewing chapters 5 and 6
Recognize Integrals Practice with recognition of techniques needed to find an antiderivative.