Saxon Advanced Math

Lesson 1·Geometry Review

Lesson 2·More on Area/Cylinders/Cones and Pyramids/Spheres

Lesson 3·Pythagorean Theorem/Triangle Inequalities/Similar Polygons/Similar Triangles

Lesson 4·Construction

Lesson 5·Exponents and Radicals/Complex Numbers/Area of Similar Geometric Figures/Diagonals of Rectangular Solids

Lesson 6·Fractional Equations/Radical Equations/Systems of Three Linear Equations

Lesson 7·Inductive and Deductive Reasoning/Logic/The Contrapositive/Converse and Inverse

Lesson 8·Statements of Similarity/Proportional Segments/Angle Bisectors and Side Ratios

Lesson 9·Congruent Figures/Proof Outlines

Lesson 10·Equation of a Line/Rational Denominators/Completing the Square

Lesson 11·Circles/Properties of Circles/The Quadratic Formula

Lesson 12·Angles and Diagonals in Polygons/Proof of the Chord-Tangent Theorem

Lesson 13·Intersecting Secants/Intersecting Secants and Tangents/Products of Chord Segments/Product of Secant and Tangent Segments

Lesson 14·Since, Cosine, and Tangent/Angles of Elevation and Depression/Rectangular and Polar Coordinates/Coordinate Conversion

Lesson 15·Assumptions/Proofs

Lesson 16·Complex Fractions/ Abstract Equations/Division of Polynomials

Lesson 17·Proofs of the Pythagorean Theorem/Proofs of Similarity

Lesson 18·Advanced Word Problems

Lesson 19·Nonlinear Systems/Factoring Exponentials/Sum and Difference of Two Cubes

Lesson 20·Two Special Triangles

Lesson 21·Evaluating Functions/Domain and Range/Types of Functions/Tests for Functions

Lesson 22·Absolute Value/Reciprocal Functions

Lesson 23·The Exponential Function/Sketching Exponentials

Lesson 24·Sums of Trigonometric Functions/Combining Functions

Lesson 25·Age Problems/Rate Problems

Lesson 26·The Logarithmic Form of the Exponential/Logarithmic Equations

Lesson 27·Related Angles/Signs of Trigonometric Functions

Lesson 28·Factorial Notation/Abstract Rate Problems

Lesson 29·The Unit Circle/Very Large and Very Small Fractions/Quadrantal Angles

Lesson 30·Addition of Vectors/Overlapping Triangles

Lesson 31·Symmetry/Reflections/Translations

Lesson 32·Inverse Functions/Four Quadrant Signs/Inverse Trigonometric Functions

Lesson 33·Quadrilaterals/Properties of Parallelograms/Types of Parallelograms/Conditions for Parallelograms/Trapezoids

Lesson 34·Summation Notation/Linear Regression/Decomposing Functions

Lesson 35·Change in Coordinates/The Name of a Number/The Distance Formula

Lesson 36·Angles Greater Than 360 degree/Sums of Trigonometric Functions/Boat-in-the-River Problems

Lesson 37·The Line as a Locus/The Midpoint Formula

Lesson 38·Fundamental Counting Principle and Permutations/Designated Roots/Overall Average Rate

Lesson 39·Radian Measure of Angles/Forms of Linear Equations

Lesson 40·The Argument in Mathematics/The Laws of Logarithms/Properties of Inverse Functions

Lesson 41·Reciprocal Trigonometric Functions/Permutation Notation

Lesson 42·Conic Sections/Circles/Constants in Exponential Functions

Lesson 43·Periodic Functions/Graphs of Sin

Lesson 44·Abstract Rate Problems

Lesson 45·Conditional Permutations/Two-Variable Analysis Using a Graphing Calculator

Lesson 46·Complex Roots/Factoring Over the Complex Numbers

Lesson 47·Vertical Sinusoid Translations/Arctan

Lesson 48·Powers of Trigonometric Functions/Perpendicular Bisectors

Lesson 49·The Logarithmic Function/Development of the Rules for Logarithms

Lesson 50·Trigonometric Equations

Lesson 51·Common Logarithms and Natural Logarithms

Lesson 52·The Inviolable Argument/Arguments in Trigonometric Equations

Lesson 53·Review of Unit Multipliers/Angular Velocity

Lesson 54·Parabolas

Lesson 55·Circular Permutations/Distinguishable Permutations

Lesson 56·Triangular Areas/Areas of Segments/Systems of Inequalities

Lesson 57·Phase Shifts in Sinusoids/Period of a Sinusoid

Lesson 58·Distance from a Point to a Line/"Narrow" and 'Wide" Parabolas

Lesson 59·Advanced Logarithm Problems/The Color of the White House

Lesson 60·Factorable Trigonometric Equations/Loss of Solutions Caused by Division

Lesson 61·Single-Variable Analysis/The Normal Distributions/Box-and-Whisker Plots

Lesson 62·Abstract Coefficients/Linear Variation

Lesson 63·Circles and Completing the Square

Lesson 64·The Complex Plane/Polar form of a Complex Number/Sums and Products of Complex Numbers

Lesson 65·Radicals in Trigonometric Equations/Graphs of Logarithmic Functions

Lesson 66·Formulas for Systems of Equations/Phase Shifts and Period Changes

Lesson 67·Antilogarithms

Lesson 68·Locus Definition of Parabola/Translated Parabolas/Applications/Derivation

Lesson 69·Matrices/Determinants

Lesson 70·Percentiles and z Scores

Lesson 71·The Ellipse (1)

Lesson 72·One Side Plus Two Other Parts/Law of Sines

Lesson 73·Regular Polygons

Lesson 74·Cramer's Rule

Lesson 75·Combinations

Lesson 76·Functions of (-x)/Functions of the Other Angle/Trigonometric Identities (1)/Rules of the Game

Lesson 77·Binomial Expansions (1)

Lesson 78·The Hyperbola

Lesson 79·De Moivre's Theorem/Roots of Complex Numbers

Lesson 80·Trigonometric Identities

Lesson 81·Law of Cosines

Lesson 82·Taking the Logarithm of/Exponential Equations

Lesson 83·Simple Probability/Independent Events/Replacement

Lesson 84·Factorable Expressions/Sketching Sinusoids

Lesson 85·Advanced Trigonometric Equations/Clock Problems

Lesson 86·Arithmetic Progressions and Arithmetic Means

Lesson 87·Sum and Difference Identities/Tangent Identities

Lesson 88·Exponential Functions (Growth and Decay)

Lesson 89·The Ellipse (2)

Lesson 90·Double-Angle Identities/Half-Angle Identities

Lesson 91·Geometric Progressions

Lesson 92·Probability of Either/Notations for Permutations and Combinations

Lesson 93·Advanced Trigonometric Identities/Triangle Inequalities (2)

Lesson 94·Graphs of Secant and Cosecant/Graphs of Tangent and Cotangent

Lesson 95·Advanced Complex Roots

Lesson 96·More Double-Angle Identities/Triangle Area Formula/Proof of the Law of Sine/Equal Angles Imply Proportional Sides

Lesson 97·The Ambiguous Case

Lesson 98·Change of Base/Contrived Logarithm Problems

Lesson 99·Sequence Notations/Advanced Sequence Problems/The Arithmetic and Geometric Means

Lesson 100·Product Identities/More Sum and Difference Identities

Lesson 101·Zero Determinants/3x3 Determinants/Determinant Solutions of 3x3 Systems/Independent Equations

Lesson 102·Binomial Expansions (2)

Lesson 103·Calculations with Logarithms

Lesson 104·Arithmetic Series/Geometric Series

Lesson 105·Cofactors/Expansion by Cofactors

Lesson 106·Translations of Conic Sections/Equations of the Ellipse/Equations of the Hyperbola

Lesson 107·Convergent Geometric Series

Lesson 108·Matrix Addition and Multiplication

Lesson 109·Rational Numbers

Lesson 110·Graphs of arcsine and arccosine/Graphs of arcsecant and arccosecant/Graphs of arctangent and arccotangent

Lesson 111·Logarithmic Inequalities Base Greater Than 1/Logarithmic Inequalities: Base Less Than 1

Lesson 112·Binomial Theorem

Lesson 113·Synthetic Division/Zeros and Roots

Lesson 114·Graphs of Factored Polynomial Functions

Lesson 115·The Remainder Theorem

Lesson 116·The Region of Interest

Lesson 117·Prime and Relatively Prime Numbers/Rational Roots Theorem

Lesson 118·Roots of Polynomial Equations

Lesson 119·Descartes Rule of Signs/Upper and Lower Bound Theorem/Irrational Roots

Lesson 120·Matrix Algebra/Finding Inverse Matrices

Lesson 121·Piecewise Functions/Greatest Integer Function

Lesson 122·Graphs of Rational Functions/Graphs that Contain Holes

Lesson 123·The General Conic Equation

Lesson 124·Point of Division Formulas

Lesson 125·Using the Graphing Calculator to Graph/Solutions of Systems of Equations Using the Graphing Calculator