Lecture Notes for Patrick Devlin’s Fall 2017 Section of MA 15300

 

(these are the notes that I use in my BoilerCast lectures)

 

EXAM 1

Lessons

EXAM 2

Lessons

EXAM 3

Lessons

EXAM 4

Lessons

EXAM 5

Lessons

EXAM 6

Lessons

After EXAM 6

Lessons

Quiz

Solutions

Introduction

 

Advice

 

Lesson 1

Exponents and the Product, Quotient, and Power Rules

 

Lesson 8

Dividing Fractions and Rational Expressions

 

Adding and Subtracting Fractions and Rational Expressions

Lesson 14

Solving Quadratic Equations using the Quadratic Formula

 

Applications of Quadratic Equations (Part2)

Lesson 21

Vertical Shifts

 

Horizontal Shifts

 

Vertical Stretch and Compression

 

Horizontal Stretch and Compression

 

Reflections

Lesson 26

Applications of Piecewise Defined Functions

Lesson 31

Logarithmic Functions

 

Graphs of Logarithmic Functions

Lesson 36

Method of Elimination

 

Applications of Systems of Equations (Part2)

 

Quiz Rules

Lesson 2

Product to a Power and Quotient to a Power Rules for Exponents

 

Exponent of Zero and Negative Exponents

 

Lesson 9

Complex Fractions and Simplifying

Lesson 15

Polynomial Equations

 

Radical Equations

 

Equations with Fractional Exponents

Lesson 22

Matching a Transformation to a Graph

 

Transforming a Point

 

Domain and Range of a Transformation

Lesson 27

One-to-one Functions

 

Inverse Functions

Lesson 32

Common Logs and Natural Logs

 

Graphs of Common and Natural Logs

 

Finding the Inverse of an Exponential or Logarithmic Function

Lesson 37

Direct Variation

 

Joint Variation

 

Indirect Variation

 

Combined Variation

 

Quiz 1 Solution

Lesson 3

Radical Notation

 

Fractional Exponents

 

Lesson 10

Equations and Solving Linear Equations

 

Solving Linear Formulas

 

Applications of Linear Equations

Lesson 16

Rectangular Coordinate System

 

Finding Slope Algebraically

 

Finding Slope Graphically

 

Finding the Equation of a Line Algebraically

 

Finding the Equation of a Line Graphically

Lesson 23

Quadratic Functions and Parabolas

 

The Vertex of a Quadratic Function

 

Finding a Quadratic Function Algebraically from Polynomials

Lesson 28

Domain and Range of an Inverse Function

 

Checking Inverse Functions

Lesson 33

Solving Log Equations (Part1)

 

Properties of Logarithms and Solving Log Equations (Part2)

 

Quiz 2 Solution

Lesson 4

Simplifying Radicals

 

Rationalizing Denominators

 

Lesson 11

Solving Rational Equations

 

Solving Rational Formulas

 

Applications of Rational Equations

Lesson 17

Parallel Lines

 

Perpendicular Lines

 

Graphing Lines using a Chart

 

Graphing Lines using Intercepts

 

Graphing Lines using Slope-Intercept Form

Lesson 24

Finding a Quadratic Function Algebraically from Information

 

Finding a Quadratic Function Graphically

 

Graphing Quadratic Functions

Lesson 29

Exponential Functions

 

Graphs of Exponential Functions

 

Interest Compounded n Times Per Year

Lesson 34

Converting Exponential Equations to Log Equations (Part1)

 

Converting Exponential Equations to Log Equations (Part2)

 

Solving Exponential Formulas

 

Quiz 3 Solution

Lesson 5

Polynomials, Adding and Subtracting

 

Polynomial Multiplication

 

Polynomial Division

 

Lesson 12

Quadratic Equations, the Zero Factor Theorem, and Factoring

 

Solving Quadratic Equations by Extracting Square Roots

 

Solving Formulas that Quadratic Equations

Lesson 18

Functions, Function Notation, and the Domain of a Function

 

Finding Function Values Algebraically (numeric)

Lesson 25

Piecewise Defined Functions and Function Values

 

Graphing Piecewise Defined Functions

 

Information about the Graph of a Piecewise Defined Function

Lesson 30

Natural Exponential Functions

 

Finding an Exponential Function Algebraically

 

Interest Compounded Continuously

Lesson 35

Method of Substitution

 

Applications of Systems of Equations (Part1)

 

Quiz 4 Solution

Lesson 6

Factoring and GCF

 

Factor by Grouping and the ac-method

 

Factoring using Formulas

Lesson 13

Solving Quadratic Equations by Completing the Square

 

Applications of Quadratic Equations (Part1)

Lesson 19

Finding Function Values Algebraically (expressions)

 

Difference Quotients

 

Graphs of Functions

 

 

 

 

Quiz 5 Solution

Lesson 7

Steps for Factoring

 

Rational Expressions and Simplifying

 

Multiplying Fractions and Rational Expressions

 

Lesson 20

Linear Functions

 

 

 

 

Quiz 6 Solution

 

 

 

 

 

 

 

Quiz 7 Solution (9:30am)

 

Quiz 7 Solution (2:30pm)

 

 

 

 

 

 

 

 

Quiz 8 Solution

 

 

 

 

 

 

 

Quiz 9 Solution

 

 

 

 

 

 

 

Quiz 10 Solution

 

 

 

 

 

 

 

Quiz 11 Solution

 

 

 

 

 

 

 

Quiz 12 Solution

 

 

 

 

 

 

 

Quiz 13 Solution

 

 

 

 

 

 

 

Quiz 14 Solution

 

 

 

 

 

 

 

Quiz 15 Solution

 

 

 

 

 

 

 

Quiz 16 Solution

 

 

 

 

 

 

 

Quiz 17 Solution

 

 

 

 

 

 

 

Quiz 18 Solution

 

 

 

 

 

 

 

Quiz 19 Solution

 

 

 

 

 

 

 

Quiz 20 Solution

 

 

 

 

 

 

 

Quiz 21 Solution

 

 

 

 

 

 

 

Quiz 22 Solution

 

 

 

 

 

 

 

Quiz 23 Solution

 

 

 

 

 

 

 

Quiz 24 Solution

 

 

 

 

 

 

 

Quiz 25 Solution

 

 

 

 

 

 

 

Quiz 26 Solution

 

 

 

 

 

 

 

Quiz 27 Solution

 

 

 

 

 

 

 

Quiz 28 Solution

 

 

 

 

 

 

 

Quiz 29 Solution

 

 

 

 

 

 

 

Quiz 30 Solution

 

 

 

 

 

 

 

Quiz 31 Solution

 

 

 

 

 

 

 

Quiz 32 Solution

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Questions?
Email Patrick at
pdevlin@purdue.edu