Diane's Math Notes

College Algebra with Applications (Survey of Modeling Functions and Graphs)
Based on Elementary Mathematical Modeling Functions and Graphs by Davis & Edwards

• Graphing Data From Lists, Tables & Formulas
• Linear Regression: Finding the Best Fit Linear Equation using Graphing Calculators
• Solving Pairs of Linear Equations Using Graphing Calculators
• Solving Systems of Linear Equations using Graphing Calculators

Calculus I (text independent)

• Graphing a function of y on a graphing calculator: x = f(y)
• Finding inverses for secant, cosecant and cotangent on a calculator

Calculus II (text independent)

• Infinite Series: What they are and how to find if they converge or diverge
• Partial Fraction Decomposition

Calculus III
Based on Calculus Concepts & Contexts (3e) by James Stewart

• Conic Sections Formulas (review)
• Vectors and the Geometry of Space (Chapter 9) formula sheet
• Vector Functions (Chapter 10) formula sheet
• Partial Derivatives (Chapter 11) formula sheet

Differential Equations
Loosely based on Elementary Differential Equations and Boundary Value Problems (8e) by Boyce & DiPrima

• Procedures for Solving Differential Equations
• Finding the nth Root of a Complex Number
• Matrix Review Sheet
• Superposition Method
• Partial Fraction Decomposition (review)
• Infinite and Power Series (review)

Linear Algebra (text independent)

• Solving Systems of Equations on a Graphing Calculator

Introduction to Probability and Statistics
Based on Elementary Statistics: A Step by Step Approach (7e) by Bluman

• Basic Statistics Using Graphing Calculators
• Descriptive Statistics Formulas
• Probability Formulas
• Discrete Probability Distributions
• Confidence Intervals and Hypothesis Testing Formulas
• How to Tell Which Hypothesis Test or Confidence Interval To Use
• Chi Square Tests
• Correlation and Linear Regression
• ANOVA
• Summary of Statistical Procedures

Introduction to Engineering Statistics
Based on Probability and Statistics for Engineering and the Sciences by Devore

• Basic Statistics Using Graphing Calculators
• Quality Control Charts
• Confidence Intervals and Sample Sizes
• Hypothesis Testing
• Chi Square Tests
• Analysis of Variance