Intermediate Algebra (MTH 103) Lecture Series Jay Towell # Lecture 1 Simplifying Algebraic Expressions 2 Introduction to Solving Linear Equations 3 Contradictions, Identities & Conditional Equations 4 Equations with Parentheses & Fractions 5 Solving Formulas for a Variable 6 Mixture Problems 7 Investment Problems 8 Motion Problems 1 9 Motion Problems 2 & Angle Problems 10 Solving Linear Inequalities 11 More Linear Inequalities & 3-Part Inequalities 12 Absolute Value Equations 13 Absolute Value Inequalities 14 Review – Word Problems 15 Review – Solving Linear Equations and Formulas 16 Review – Solving Inequalities and Absolute Values 17 Introduction to Graphing 18 Graphing using a Table 19 Graphing and x- and y-intercepts 20 Slope Formula 21 Graph Line with Slope and Point 22 Slope-Intercept Form of a Line 23 Finding the Equation of a Line 24 Graph Line in Slope-Intercept Form; Slope of Line in Standard Form 25 Vertical & Horizontal Lines 26 Linear Inequalities in Two Variables 27 Review (a) – Graphing Linear Equations 28 Review (b) – More Graphing 29 Review (c) – Finding Equations of Lines 30 Introduction to Systems 31 Elimination Method for Systems 32 Applications of Systems 33 Review – Solving Systems 34 Multiplying Polynomials 35 Polynomial Division 36 Synthetic Division 37 Review – Review of Exponent Rules 38 Introduction to Factoring & Greatest Common Factor Factoring 39 Factoring by Grouping 40 Factoring Trinomials 41 More Factoring Trinomials 42 Factor Trinomials with Leading Coeffcients > 1 43 Factoring Completely 44 Factoring 4th Degree Polynomials 45 Factor Binomials with Squares 46 Factoring Binomials with Cubes 47 Solving Quadratic Equations 48 Review – Factoring Part 1 49 Review – Factoring Part 2 50 Rational Expressions; Excluded Values 51 Simplifying Rational Expressions 52 Equations with Rational Expressions 53 Rational Equations and Cross-Multiplying Technique 54 Solve Formulas with Rational Expressions 55 Review – Rational Expressions and Equations 56 Roots, Radicals and Rational Exponents 57 Simplifying Square Roots 58 Simplified Radical Form 59 Right Triangles and Pythagorean Theorem 60 Distance between Points 61 Adding and Subtracting Radicals 62 Multiplying Radicals 63 Rationalizing the Denominator 64 Solving Square Root Equations 65 Solving More Root Equations 66 Complex Numbers 67 Multiplying Complex Numbers 68 Conjugates; Simplifying a Complex Number over Complex Number 69 Review – Square Roots and Operations on Radicals 70 Review – Complex Numbers 71 Square Root Method for Quadratic Equations 72 The Quadratic Formula 73 Problems using Pythagorean Theorem; Area of Triangle 74 Application involving Height of a Thrown Object 75 Review – Solving Square Root & Quadratic Equations 76 Review for Final (a) – Solving Various Equations and Systems 77 Review for Final (b) – Word Problems Part 1 78 Review for Final (c) – Word Problems Part 2 79 Review for Final (d) – Graphing Equations and Inequalities
