ADVANCED MATH TOPICS VIDEO TUTORIALS
Ch. 1 - Linear Relations and Functions
1-1 Relations and Functions
1-2 Composition of Functions 1-3 Graphing Linear Equations 1-4 Writing Linear Equations 1-5 Writing Equations of Parallel and Perpendicular Lines 1-6 Modeling Real-World Data with Linear Functions 1-7 Piecewise Functions 1-8 Graphing Linear Inequalities Ch. 2 - Systems of Linear Equations and Inequalities
2-1 Solving Systems of Equations in Two Variables
2-2 Solving Systems of Equations in Three Variables 2-3 Modeling Real-World Data with Matrices 2-4 Modeling Motion with Matrices 2-5 Determinants and Multiplicative Inverses of Matrices 2-6 Solving Systems of Linear Inequalities 2-7 Linear Programming Ch. 3 - The Nature of Graphs
3-1 Symmetry and Coordinate Graphs
3-2 Families of Graphs
3-4 Inverse Functions and Relations 3-5 Continuity and End Behavior 3-6 Critical Points and Extrema of Rational Functions 3-7 Graphs of Rational Functions 3-8 Direct, Inverse, and Joint Variation Ch. 4 - Polynomial and Rational Functions
4-1 Polynomial Functions
4-3 The Remainder and Factor Theorems 4-4 The Rational Root Theorem 4-5 Locating Zeros of a Polynomial Function 4-6 Rational Equations and Partial Fractions 4-7 Radical Equations and Inequalities 4-8 Modeling Real-World Data with Polynomial Functions Ch. 5 - The Trigonometric Functions
5-1 Angles and Degree Measure
5-2 Trigonometric Ratios in Right Triangles 5-3 Trigonometric Functions on the Unit Circle 5-4 Applying Trigonometric Functions 5-5 Solving Right Triangles 5-6 The Law of Sines 5-7 The Ambiguous Case for the Law of Sines 5-8 The Law of Cosines Ch. 6 - Graphs of Trigonometric Functions
6-1 Angles and Radian Measure
6-3 Graphing Sine and Cosine Functions 6-4 Amplitude and Period of Sine and Cosine Functions
6-6 Modeling Real-World Data with Sinusoidal Functions 6-7 Graphing Other Trigonometric Functions
Ch. 7 - Trigonometric Identities and Equations
7-1 Basic Trigonometric Identities
7-2 Verifying Trigonometric Identities 7-3 Sum and Difference Identities 7-4 Double-Angle and Half-Angle Identities 7-5 Solving Trigonometric Equations 7-6 Normal Form of a Linear Equations 7-7 Distance From a Point to a Line |
Ch. 8 - Vectors and Parametric Equations
8-1 Geometric Vectors
8-2 Algebraic Vectors 8-3 Vectors in Three-Dimensional Space 8-4 Perpendicular Vectors 8-5 Applications with Vectors 8-6 Vectors and Parametric Equations 8-7 Modeling Motion Using Parametric Equations 8-8 Transformational Matrices in Three-Dimensional Space Ch. 9 - Polar Coordinates and Complex Numbers
9-1 Polar Coordinates
9-2 Graphs of Polar Equations 9-3 Polar and Rectangular Coordinates 9-4 Polar Form of a Linear Equation 9-5 Simplifying Complex Numbers 9-6 Geometry in the Complex Plane 9-7 Products of Quotients of Complex Numbers in Polar Form 9-8 Powers and Roots of Complex Numbers Ch. 10 - Conics
10-1 Introduction to Analytic Geometry
10-6 Rectangular and Parametric Forms of Conic Sections 10-7 Transformations of Conics 10-8 Systems of Second-Degree Equations and Inequalities Ch. 11 - Exponential and Logarithmic Functions
11-1 Real Exponents
11-4 Logarithmic Functions 11-5 Common Logarithms 11-6 Natural Logarithms 11-7 Modeling Real-World Data with Exponential and Logarithmic Functions Ch. 12 - Sequences and Series
12-1 Arithmetic Sequences and Series
12-5 Sigma Notation and the nth Term 12-6 The Binomial Theorem 12-7 Special Sequences and Series 12-8 Sequences and Iteration 12-9 Mathematical Induction Ch. 13 - Combinatorics and Probability
13-1 Permutations and Combinations
13-3 Probability and Odds
13-5 Conditional Probability
Ch. 14 - Statistics and Data Analysis
14-1 The Frequency Distribution
14-2 Measures of Central Tendency
14-4 The Normal Distribution 14-5 Sample Sets of Data Ch. 15 - Introduction to Calculus
15-1 Limits
15-2 The Slope of a Curve 15-3 Area Under a Curve 15-4 The Fundamental Theorem of Calculus |