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Courses
Math Notes -- Handouts
This page will provide links to my notes on mathematics. As I
teach certain topics, I have created handouts to help students through
some of the more difficult topics. I've taught a wide variety of
courses, and the handouts reflect that. While they are available
elsewhere on my website in the courses I teach, this will provide a
central location to access them by topic. When a key to the
additional practice problems is available, it is also linked. Many
of the handouts also include instructions for using the TI-83/84
calculator to solve or visualize the problems.
The Basics
How to Plot Points in Two Dimensions,
key
Algebraic Equations & Algebraic
Expressions, key
Sets of Numbers,
key,
worksheet,
key
Percent Increase/Decrease
Problems, key
General Word Problem Solving
Strategy
Factoring
Identifying Polynomials
Mixture Problems in 2 & 3 variables
Solving Quadratic Equations
Graphing Systems of
Inequalities
Solving
Systems of Linear Equations: Which Method to Use?
Long Division of
Polynomials
Graphing, Evaluating Functions, and Solving Systems of Linear Equations
College Algebra, Pre-Calculus & Trigonometry
Matrices
Sequences
Solving Exponential and
Logarithmic Equations
Rational Functions
Transformations
Graphing Real Zeros
Complex
Numbers in the TI
Partial
Fractions,
key
Conic Sections,
key
Polar Coordinates,
key
Doing Proofs with Trigonometric
Identities, key
Domain & Range of
Trigonometric Functions & Inverses,
key
Solving Trigonometric
Equations, key
Bearings Problems
Complex Numbers
Unit Circle
Statistics and Probability
Venn Diagrams and
Set Notation
Counting
Maximum Likelihood
Functions
Which test is this?
TI-84 One-Way ANOVA Tests
TI-84 χ^2 Distribution
Function
TI-84 F
Distribution Function
TI-84 Geometric Distribution Function
TI-84 χ^2 Goodness of Fit Test
TI-84 Linear Regression
T-Intervals
A
Brief Survey of Statistical Symbols
TI-83/84
Binomial Distribution
Confidence Intervals – One
Sample
Correlation and Regression
Counting Formulas
in TI-83/84
Creating Graphs by Hand
Descriptive Statistics For Grouped Data
TI-83/84
Descriptive Statistics
TI-83/84 Entering Data
Expected Values
Basic Statistical
Formulas
TI-83/84 Hypothesis Testing
TI-83/84 Normal
Distributions
Statistical
Graphs in the TI-83/84
TI83/84
Correlation: LinRegTTest
TI-83/84
Contingency Tables
TI-83/84 Hypothesis
Testing: Two Dependent Sample Means
TI 83/84
Hypothesis Testing: Two Independent Sample Means
TI 83/84 Hypothesis
Testing: Two Proportions
Venn Diagrams
and Probability
Simulations --
Excel(xlsx) --
Minitab(mpx)
Calculus -- Single Variable
Table of Integrals
Single Variable
Differentation Review,
key
Single Variable
Integration Review,
key
Definite Integrals:
Estimating Area Under a Curve
Integration by Parts,
key
Partial
Fractions,
key
Solids of
Revolution
Riemann Sums Methods,
key
Trig Substitution,
key
Integration by
Substitution
How do I know what integration rule to use?,
key
Work
3-D Surfaces
Derivative Tables
Functions as Power
Series, key
Sequences,
key
Series Tests,
key
Taylor
Polynomials,
key
Taylor Polynomials II,
key
Exploring the Sine Function
Deriving the Arc
Length Formula
Calculus -- Multivariable
Coordinate Systems
Formula Sheet
Multivariable
Differentiation Review,
key
Multivariable
Integration Review,
key
Mass & Center of Mass
Chain Rule,
key
Del-Notation,
key
Relative Extrema in Two
or More Variables
Implicit
Differentiation,
key
Jacobians
and Change of Variable
Lagrange Multipliers,
key
Limits in 2 or more
variables, key
Line Integrals,
old
How to Plot points in 3D
Tangents & Normals,
key,
old
Triple Integrals
Vector Fields &
Potential Functions
Representing 3D
surfaces in 2D graphs
Gradients
and Level Curves
Limits of Integration
in 2D & 3D
Surface Integrals
Formula Sheet
Solids of
Revolution
3-D Surfaces
Linear Algebra
Matrices
Find the eigenvalues
for a 2x2 matrix (Excel)
Find the
characteristic polynomial for a 3x3 matrix (Excel)
Loop Current
Problems
Systems of Linear ODEs
Eigenvalues & Eigenvectors,
key
Inner Products,
key
Linear Transformations,
key
Performing Matrix Operations
on the TI-83/84
Writing
Proofs
Coordinate
Systems
Discrete
Dynamical Systems,
key
Writing the
Matrix of a Linear Transformation
Markov Chains,
key
Homogeneous Solutions and
Nullspaces
Vector
Spaces and Subspaces,
key (#20 is an
error in key, is a subspace)
Differential Equations
Laplace Transforms Table,
worksheet,
key
Systems of
Springs
Bernoulli Equations,
key
Characteristic Equations,
key
Solving (First
Order) Homogeneous Equations,
key
Hyperbolic Trig
Functions,
key
Laplace
Transforms,
formulas (old)
Series Solutions
Spring Problems,
key
Concentration
Problems, key
How to recognize
the different types of differential equations,
key
Undetermined
Coefficients,
key,
worksheet,
key
Eigenvalues and
Eigenfunctions,
key
Sketching
Fourier series,
key
Higher
Order Derivatives
Slope/Direction Fields
Euler’s Method
Reduction of
Order
Singular Points
Systems of Linear
ODEs
Business Calculus and Finance
Math of
Finance
Definite Integrals: Estimating Area Under a Curve
Integration by Parts
(some handouts, like this one, have versions free of trig functions for
use in business calculus; they are linked here)
Implicit
Differentiation
How to Plot points in
3D
Integration by
Substitution
How do I know what
integration rule to use?
Liberal Arts Math Topics
Discrete Math
Logic
Gates
Other
How to Draw the Greek Letters
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