Patrick Devlin’s Lecture Notes for 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 6 Factoring and GCF Factor by Grouping and the ac-method Factoring Addendum	Lesson 11 Solving Rational Equations Solving Rational Formulas Applications of Rational 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 Rules Sample Quiz Sample Quiz Solution
Lesson 2 Product to a Power and Quotient to a Power Rules for Exponents Exponent of Zero and Negative Exponents	Lesson 7 Factoring using Formulas Steps for Factoring Rational Expressions and Simplifying Part 1	Lesson 12 Quadratic Equations, the Zero Factor Theorem, and Factoring Solving Quadratic Equations by Extracting Square Roots Solving Formulas that are Quadratic 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) Exponential Formulas	Quiz 1 Solution
Lesson 3 Radical Notation Fractional Exponents	Lesson 8 Rational Expressions and Simplifying Part 2 Multiplying Fractions and Rational Expressions Dividing Fractions and Rational Expressions	Lesson 13 Solving Quadratic Equations by Completing the Square Applications of Quadratic Equations (Part1)	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 and their Graphs Finding an Exponential Function Algebraically Interest Compounded Continuously	Lesson 35 Method of Substitution Applications of Systems of Equations	Quiz 2 Solution
Lesson 4 Simplifying Radicals Rationalizing Denominators	Lesson 9 Adding and Subtracting Fractions and Rational Expressions Complex Fractions and Simplifying	Lesson 14 Solving Quadratic Equations using the Quadratic Formula Applications of Quadratic Equations (Part2)	Lesson 19 Finding Function Values Algebraically (expressions) Difference Quotients Graphs of Functions	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 3 Solution
Lesson 5 Polynomials, Adding and Subtracting Polynomial Multiplication Polynomial Division	Lesson 10 Equations and Solving Linear Equations Solving Linear Formulas Applications of Linear Equations	Lesson 15 Polynomial Equations Radical Equations Equations with Fractional Exponents	Lesson 20 Linear Functions	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		Quiz 4 Solution
			Lesson 21 Vertical Shifts Horizontal Shifts Vertical and Horizontal Stretch and Compression Notes for LON-CAPA Problems Reflections				Quiz 5 Solution
			Lesson 22 Matching a Transformation to a Graph Transforming a Point Domain and Range of a Transformation Tables for LON-CAPA Problems (these do NOT need to be printed for class)				Quiz 6 Solution
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							Quiz 20 Solution