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Math M118
Math M424

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K. Marrs
R. Blake
J. Watt

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MATH 163 Calculus I:

WarmUps

Puzzles

Maple Labs

Limits and Tangent Lines

Differentiation Formulas

Derivatives of Trig Functions

Implicit Differentiation

Mean Value Theorem

Limits at Infinity

Curve Sketching

Application to Economics

Fresnel Function

Volume by Washers

Mean Value Theorem

Chapter 2: The Twin Problem

Chapter 3A: Find the Error

Project 1 Chapter 1.2 Arithmetic and Simple Algebra using Maple

Project 2 Chapter 1.3 Functions of a Single Variable and Graphing

Project 3 Chapter 2.2 Guessing Limits Numerically

Project 4 Chapter 2.4a The Precise Definition of a Limit

Project 5 Chapter 3.4 Ballistics

Project 6 Chapter 3.8 Differentiation

Project 7 Chapter 3.10 Linear Approximations and Differentials

Project 8 Chapter 4.2 The Mean Value Theorem

Project 9 Chapter 4.3 Concavity and Inflection Points

Project 10 Chapter 4.5b Graphing Functions

Project 11 Chapter 4.9c Newton's Method

Project 12 Chapter 5.1a Integration: Riemann Sums

Project 13 Chapter 5.3a The Fundamental Theorem of Calculus

Project 14 Chapter 6.3a Surfaces of Revolution

MATH 164 Calculus II:

WarmUps

Puzzles

Maple Labs

Inverse Functions

Meaning of Inverse Functions

Trigonometric Substitution

Approximate Integration

Direction Fields

Parametric Equations

Polar Coordinates

Infinite Sequences and Series

The Comparison Tests

Absolute Convergence

Taylor and Maclaurin Series

Taylor Polynomials

Where to Sit at the Movies (Chapter 7.5)

Find the Error (Chapter 8.1)

Homer's Blood Pressure (Chapter 9.4)

Cleaning the Pool (Chapter 10.3)

Families of Hypocycloids (Chapter 11.1)

The Alternating Harmonic Series (Chapter 12.5)

The Secret Presidential Function (Chapter 12.10)

Inverse Functions (Chapter 7.1c)

Logarithmic Identities and Inequalities (Chapter 7.2)

Exponential Functions (Chapter 7.4a)

Techniques of Integration (Chapter 8.6)

Approximate Integration (Chapter 8.7)

Direction Fields (Chapter 10.2a)

Newton's Law of Cooling (Chapter 10.1a)

The Logistic Equation (Chapter 10.5a*)

Parametrized Curves (Chapter 11.1a)

Ballistics (Chapter 11.1c)

Polar Curves in Cartesian Coordinates (Chapter 11.4a)

Sequences and Series (Chapter 12.2b)

More on Sequences and Series (Chapter 12.2c)

Maclaurin Series (Chapter 12.10a)

MATH M118 Finite Mathematics:

WarmUps

Puzzles

What is Math Good For?

The Liar's Paradox

If .. Then Statements

The Empty Set and Subsets

Cartesian Products

Fundamental Counting Principle

Birthday Problem

Conditional Probability

Bernoulli Trials

Central Tendency

Expected Value and Standard Deviation

Normal Distribution

Normal Approximation to Binomial Distribution

Systems of Linear Equations

All-Integer Method

Matrix Operations

The Maide of Orleans (Chapter 1.2)

The Gallup Poll (Chapter 2.3)

The Enigma (Chapter 3.3)

The Motel Problem (Chapter 3.4)

The Cast of the Die (Chapter 4.1)

MATH 424/425 Methods of Teaching Mathematics:

WarmUps

Puzzles

What is Math Good For?

Your Favorite Mathematician

Product vs. Process

History of Math Education

The Math Revolution

Learning Theories

Modes of Instruction

Meaningful Learning and Practice

Instructional Objectives

Writing and Mathematics

Problem Solving I

Problem Solving II

Math in Everyday World

Films' Depiction of Education

Technology in the Classroom

Non-Typical Activities

Test Construction and Grading

Individual Differences

Anxiety and Beliefs

Evaluation vs. Testing

Control or Chaos

Characteristics of Good Teaching

Preparing for College

Professional Growth

1. Proof of 1 = -1

2. Farmer's Problem

11. Counterfeit Coins

17. The Unexpected Exam