Mathematics: Algebra 2 Dr. Grant Fraser, Ph.D.
Facebook Twitter
More

Level Intermediate
Lessons (min)
4 already enrolled!
Audio: English

Dr. Grant Fraser leads Educator's Algebra II lecture series directly following Algebra I. Our most comprehensive mathematics syllabus covers everything from Matrices, Quadratic/Polynomial Equations, to Exponential/Logarithmic Relations, Conic Sections, and Sequences/Series. In addition to his 27 years of teaching experience, UCLA educated (Ph.D and B.S.) Professor Fraser has also directed summer institutes for 10 years which honed high-school math teachers' instructional skills. Applying his vast experience teaching both students and fellow educators, Dr. Fraser guides you through this course with clear explanations, plenty of worked-out examples, and detailed notes to make sure you effectively learned all concepts.

Table of Contents
Course Details

Section 1: Equations and Inequalities
	Expressions and Formulas			28:56
		Intro		0:00
		Order of Operations		0:51
			Variables and Algebraic Expressions	0:57
			Order of Operations	3:05
		Monomials		5:25
			Examples	5:37
			Constant, Coefficient, Degree, Power	6:27
		Polynomials		8:29
			Examples	8:42
			Terms, Like Terms, Binomial, Trinomial	8:59
		Formulas		12:35
			Examples: Area, Volume, Surface Area	12:50
		Lecture Example 1		15:50
		Lecture Example 2		21:31
		Additional Example 3		1:17
		Additional Example 4		2:38
	Properties of Real Numbers			23:45
		Intro		0:00
		Real Numbers		0:15
			Rational Numbers	0:40
			Irrational Numbers	1:38
		Venn Diagram of the Real Numbers		2:55
		Properties of Real Numbers		6:49
			Commutative Property	7:06
			Associative Property	7:27
			Identity Property	8:01
			Inverse Property	8:42
			Distributive Property	10:05
		Lecture Example 1		10:43
		Lecture Example 2		13:08
		Additional Example 3		1:47
		Additional Example 4		5:22
	Solving Equations			24:41
		Intro		0:00
		Translations		0:11
			Example: Verbal to Algebraic Expressions	0:44
		Properties of Equality		2:51
			Reflexive, Symmetric, Transitive Properties	2:58
			Addition, Subtraction, Multiplication, Division	3:32
		Solving Equations		6:09
			Example	6:23
		Solving for a Variable		8:49
			Example: Surface Area of a Cone	8:58
		Lecture Example 1		11:06
		Lecture Example 2		12:39
		Additional Example 3		4:36
		Additional Example 4		2:09
	Solving Absolute Value Equations			17:36
		Intro		0:00
		Absolute Value Expressions		0:10
			Example: Positive Distance	0:15
		Absolute Value Equations		1:07
			Examples	1:18
		No Solutions		2:54
			Example: Empty Set	2:58
		Number of Solutions		3:56
			Examples	4:42
		Lecture Example 1		6:42
		Lecture Example 2		8:54
		Additional Example 3		1:55
		Additional Example 4		5:32
	Solving Inequalities			19:27
		Intro		0:00
		Properties of Inequality		0:07
			Addition Property	0:21
			Subtraction Property	0:48
			Example	1:02
		Multiplication Properties		1:44
			Multiplying by a Positive Number	1:48
			Example: Positive	2:17
			Multiplying by a Negative Number	2:25
			Example: Negative	2:35
		Division Properties		3:23
			Example: Positive	3:32
			Example: Negative	4:04
		Describing the Solution Set		6:00
			Set Builder Notation	6:15
			Graphing	7:15
		Lecture Example 1		8:04
		Lecture Example 2		9:09
		Additional Example 3		3:06
		Additional Example 4		5:32
	Solving Compound and Absolute Value Inequalities			24:08
		Intro		0:00
		Compound Inequalities		0:11
			Example	0:33
		'And' Inequality		3:41
			Example: Set Intersection	4:00
		'Or' Inequality		6:01
			Example: Set Union	6:15
		Absolute Value Inequalities		8:19
			Examples	8:37
		Lecture Example 1		11:43
		Lecture Example 2		14:47
		Additional Example 3		2:33
		Additional Example 4		4:49
Section 2: Linear Relations and Functions
	Relations and Functions			38:15
		Intro		0:00
		Coordinate Plane		0:38
			Example: Origin and Quadrants	0:44
		Relations		4:08
			Example: Ordered Pairs	4:14
			Domain and Range	5:05
		Functions		5:57
			Example: Mapping	6:11
		One-to-One Functions		9:58
			Example	10:05
		Graphs of Relations		13:42
			Example: Discrete and Continuous	13:55
		Vertical Line Test		16:26
			Examples	16:38
		Equations, Relations, Functions		19:38
			Example: Independent and Dependent Variables	19:45
		Function Notation		21:51
			Examples	22:27
		Lecture Example 1		24:39
		Lecture Example 2		28:29
		Additional Example 3		3:47
		Additional Example 4		2:03
	Linear Equations			12:50
		Intro		0:00
		Linear Equations and Functions		0:12
			Example: Linear Equation	0:21
			Example: Linear Function	1:16
		Standard Form		2:13
			Examples	2:43
		Graphing with Intercepts		3:26
			Example: Intercepts	3:51
		Lecture Example 1		6:25
		Lecture Example 2		7:53
		Additional Example 3		2:06
		Additional Example 4		2:09
	Slope			20:07
		Intro		0:00
		Definition of Slope		0:23
		Interpretation of Slope		2:19
			Example: 0 Slope and Undefined Slope	2:25
			Example: Positive Slope	4:04
			Example: Negative Slope	4:43
		Parallel Lines		6:16
		Perpendicular Lines		7:15
		Lecture Example 1		8:20
		Lecture Example 2		10:45
		Additional Example 3		2:39
		Additional Example 4		4:14
	Writing Linear Functions			27:36
		Intro		0:00
		Slope Intercept Form		0:08
			Origin of Form	0:21
			Example	2:08
		Point Slope Form		3:47
			Origin of Form	4:01
		Parallel and Perpendicular Lines		5:36
			Example: Find Parallel Line	5:58
		Lecture Example 1		8:27
		Lecture Example 2		12:08
		Additional Example 3		4:35
		Additional Example 4		7:05
	Special Functions			24:28
		Intro		0:00
		Step Functions		0:13
			Graph	0:21
			Example: Birthday Function	2:32
		Absolute Value Functions		5:21
			Graph	5:27
		Piecewise Functions		7:34
			Example	7:38
		Lecture Example 1		10:20
		Lecture Example 2		14:38
		Additional Example 3		3:10
		Additional Example 4		4:25
	Graphing Inequalities			30:37
		Intro		0:00
		Graphing Linear Inequalities		0:11
			Example: Linear Inequalities	0:20
			Half Plane	2:04
			Test Point	2:53
		Graphing Absolute Value Inequalities		5:38
			Example: Linear Inequalities	5:49
			Example: Absolute Value	8:23
		Lecture Example 1		11:39
		Lecture Example 2		14:50
		Additional Example 3		4:13
		Additional Example 4		7:06
Section 3: Systems of Equations and Inequalities
	Solving Systems of Equations by Graphing			21:27
		Intro		0:00
		Systems of Equations		0:14
		Solving by Graphing		0:34
		Types of Systems		1:07
			Independent (One Solution)	2:02
			Dependent (Infinite Solutions)	2:30
			Inconsistent (No Solutions, Parallel)	3:37
		Lecture Example 1		4:52
		Lecture Example 2		8:42
		Additional Example 3		3:29
		Additional Example 4		3:33
	Solving Systems of Equations Algebraically			31:26
		Intro		0:00
		Solving by Substitution		0:15
			Examples	0:50
		Solving by Elimination		4:19
			Examples	4:27
		Solving by Multiplication		7:24
			Examples	7:37
		Inconsistent and Dependent Systems		11:42
			Example: Spotting Differences	12:07
		Lecture Example 1		15:00
		Lecture Example 2		17:35
		Additional Example 3		6:21
		Additional Example 4		3:50
	Solving Systems of Inequalities by Graphing			20:43
		Intro		0:00
		Solving by Graphing		0:10
			Example: Single Inequality	0:14
		No Solution		4:16
			Example: No Solution	4:25
		Lecture Example 1		6:25
		Lecture Example 2		8:23
		Additional Example 3		4:57
		Additional Example 4		3:31
	Solving Systems of Equations in 3 Variables			21:27
		Intro		0:00
		Solving Systems in Three Variables		0:15
			Ordered Triple	0:36
		Number of Solutions		1:32
		Lecture Example 1		2:19
		Lecture Example 2		6:14
		Additional Example 3		6:53
		Additional Example 4		3:17
Section 4: Matrices
	Basic Matrix Concepts			14:08
		Intro		0:00
		What is a Matrix?		0:33
			Example: Rectangular Array	0:41
			Element	1:52
			Examples: More Matrices	2:04
		Dimensions		3:40
			Examples	4:53
		Special Matrices		6:31
			(m x 1) Matrix	6:36
			Square Matrix	7:01
			Zero Matrix	7:38
		Equal Matrices		8:23
			Examples	8:32
		Lecture Example 1		10:56
		Lecture Example 2		11:28
		Additional Example 3		0:18
		Additional Example 4		1:31
	Matrix Operations			16:40
		Intro		0:00
		Matrix Addition		0:10
			Example	1:07
		Matrix Subtraction		2:12
			Example	2:31
		Scalar Multiplication		3:23
			Example	4:05
		Properties of Matrix Operations		5:31
			Commutative Property	5:48
			Associative Property	5:59
			Distributive Property	6:34
		Lecture Example 1		7:03
		Lecture Example 2		8:15
		Additional Example 3		1:07
		Additional Example 4		6:04
	Matrix Multiplication			22:47
		Intro		0:00
		Dimension Requirement		0:19
			Example	0:45
		Matrix Multiplication		1:35
			Example	2:21
		Properties of Matrix Multiplication		6:46
			Associative Property	6:59
			Distributive Property	7:15
			Commutative Property	7:39
		Lecture Example 1		8:49
		Lecture Example 2		11:43
		Additional Example 3		3:49
		Additional Example 4		4:31
	Determinants			25:47
		Intro		0:00
		What is a Determinant		0:15
		Determinant of a 2x2 Matrix		0:56
			Difference from Matrices	1:16
			Second Order Determinant	1:38
			Example	2:06
		Determinant of a 3x3 Matrix		3:20
			Third Order Determinants	3:25
			Origin of Equation (Minors)	3:38
			Expansion by Minors	6:05
			Example: 3x3 Matrix	8:55
		Diagonal Method for 3x3 Matrix		12:45
			Example	12:55
		Lecture Example 1		17:03
		Lecture Example 2		17:42
		Additional Example 3		2:32
		Additional Example 4		3:15
	Cramer's Rule			25:42
		Intro		0:00
		System of 2 Equations in 2 Variables		0:27
			Example	1:20
		System of 3 Equations in 3 Variables		3:10
			Example	3:51
		Lecture Example 1		6:45
		Lecture Example 2		10:22
		Additional Example 3		5:44
		Additional Example 4		6:23
	Identity and Inverse Matrices			27:01
		Intro		0:00
		Identity Matrix		0:10
			Example: 2x2 Matrix	2:18
		Matrix Inverses		4:40
			Example: Does Not Exist	6:04
		Inverse of a 2x2 Matrix		8:17
			Example	9:38
		Lecture Example 1		13:19
		Lecture Example 2		15:57
		Additional Example 3		3:45
		Additional Example 4		3:37
	Solving Systems of Equations with Matrices			28:40
		Intro		0:00
		Matrix Equations		0:22
			Example	0:40
		Solving Systems of Equations		4:20
			Example	5:58
		Lecture Example 1		9:11
		Lecture Example 2		15:09
		Additional Example 3		4:31
		Additional Example 4		4:18
Section 5: Quadratic Functions and Inequalities
	Graphing Quadratic Equations			26:36
		Intro		0:00
		Quadratic Functions		0:10
			Parabola	0:50
			Example: Opens Upward	1:03
			Example: Opens Downward	1:54
		Properties of Parabolas		3:17
			Axis of Symmetry	3:26
			Vertex	4:05
			Example	4:28
		Maximum and Minimum Values		7:10
			Example: Upwards/Minimum	7:32
			Example: Downwards/Maximum	8:19
		Lecture Example 1		9:09
		Lecture Example 2		13:05
		Additional Example 3		4:42
		Additional Example 4		5:10
	Solving Quadratic Equations by Graphing			19:26
		Intro		0:00
		Quadratic Equations		0:18
			Example: Standard Form	0:55
		Solving by Graphing		1:39
			Roots	1:48
			Example: 2 Solutions	1:56
			Example: 1 Solution	2:39
			Example: 0 Solutions	3:10
		Estimating Solutions		3:55
			Example	4:07
		Lecture Example 1		5:16
		Lecture Example 2		7:51
		Additional Example 3		4:21
		Additional Example 4		4:37
	Solving Quadratic Equations by Factoring			17:46
		Intro		0:00
		Factoring Techniques		0:16
			Greatest Common Factor (GCF)	0:29
			Difference of Two Squares	1:45
			Perfect Square Trinomials	2:07
			General Trinomials	3:16
		Zero Product Rule		4:50
			Example	5:01
		Lecture Example 1		6:19
		Lecture Example 2		8:13
		Additional Example 3		2:20
		Additional Example 4		5:11
	Imaginary and Complex Numbers			37:41
		Intro		0:00
		Properties of Square Roots		0:17
			Example: Product and Quotient Rules	0:33
		Imaginary Numbers		4:04
			Powers of Imaginary Numbers	5:06
			Example	6:27
		Complex Numbers		7:21
			Real and Complex Numbers	8:19
		Equality		9:04
			Example	9:17
		Addition and Subtraction		9:43
			Example	9:55
		Complex Plane		11:38
			Example	11:52
		Multiplication		13:34
			Example	13:43
		Division		16:36
			Complex Conjugates	16:45
			Example	18:16
		Lecture Example 1		23:40
		Lecture Example 2		26:34
		Additional Example 3		2:10
		Additional Example 4		6:57
	Completing the Square			16:42
		Intro		0:00
		Square Root Property		0:22
			Examples	0:33
		Completing the Square		1:48
			Example: Making into Perfect Square	1:50
		Solve Equations		3:43
			Example	3:53
		Equations Where 'a' Not Equal to 1		6:47
			Example	6:57
		Complex Solutions		10:14
			Example	10:22
		Lecture Example 1		11:30
		Lecture Example 2		12:34
		Additional Example 3		1:27
		Additional Example 4		2:09
	Quadratic Formula and the Discriminant			17:44
		Intro		0:00
		Quadratic Formula		0:37
			Example	0:56
		One Rational Root		3:10
			Why It Works	3:26
			Repeated/Double Root	3:49
		Complex Solutions		4:31
			Example	4:50
		Discriminant		7:19
			Discriminant Value and Root Type	8:50
		Lecture Example 1		12:08
		Lecture Example 2		14:15
		Additional Example 3		2:11
		Additional Example 4		2:27
	Analyzing the Graphs of Quadratic Functions			23:00
		Intro		0:00
		Vertex Form		0:24
			Example	1:56
		Significance of Coefficient 'a'		3:15
			Example	3:39
		Writing Quadratic Equations in Vertex Form		4:51
			Examples	5:19
		Lecture Example 1		8:14
		Lecture Example 2		10:22
		Additional Example 3		3:38
		Additional Example 4		4:40
	Graphing and Solving Quadratic Inequalities			34:38
		Intro		0:00
		Graphing Quadratic Inequalities		1:14
			Example: Linear Inequality	1:29
			Example: Quadratic Inequality	3:11
		Solving Quadratic Inequalities		6:32
			Example	6:38
		Lecture Example 1		11:50
		Lecture Example 2		15:09
		Additional Example 3		5:37
		Additional Example 4		8:07
Section 6: Polynomial Functions
	Properties of Exponents			20:28
		Intro		0:00
		Simplifying Exponential Expressions		0:32
		Negative Exponents		0:54
			Example: Base 0	1:16
			Examples	1:30
		Properties of Exponents		2:22
			Base and Exponent	2:52
		Lecture Example 1		8:29
		Lecture Example 2		10:58
		Additional Example 3		5:05
		Additional Example 4		2:01
	Operations on Polynomials			16:13
		Intro		0:00
		Adding and Subtracting Polynomials		0:24
			Example: Signs	0:34
		Multiplying Polynomials		3:04
			Example	3:12
		Lecture Example 1		6:40
		Lecture Example 2		7:21
		Additional Example 3		3:06
		Additional Example 4		3:50
	Dividing Polynomials			29:26
		Intro		0:00
		Dividing by a Monomial		0:16
			Example	0:28
		Long Division		3:24
			Example: Missing Terms, Remainder	3:49
		Example: Long Division		6:51
		Synthetic Division		10:13
			Example	10:44
		Divisor in Synthetic Division		13:18
			Example: Coefficient Not 1	13:30
		Lecture Example 1		16:41
		Lecture Example 2		18:22
		Additional Example 3		2:08
		Additional Example 4		6:27
	Polynomial Functions			29:34
		Intro		0:00
		Polynomial in One Variable		0:17
			Degree n	0:30
			Descending Order	0:43
			Example: Leading Coefficient	1:04
		Function Values		3:31
			Example	3:42
		Zeros of Polynomial Functions		5:45
			Example: Zeros	6:04
		End Behavior		9:51
			Example: 4 Situations	10:51
		Lecture Example 1		17:30
		Lecture Example 2		19:11
		Additional Example 3		3:43
		Additional Example 4		4:27
	Analyzing Graphs of Polynomials			34:36
		Intro		0:00
		Graphing Polynomial Functions		0:09
			End Behavior	0:19
			Examples: Degree and Sign of Polynomials	1:13
		Location Principle		4:50
			Example	6:19
		Maximum and Minimum Points		7:34
			Example: Relative Maximum and Relative Minimum	7:44
		Lecture Example 1		10:17
		Lecture Example 2		15:13
		Additional Example 3		6:11
		Additional Example 4		7:28
	Solving Polynomial Equations			19:23
		Intro		0:00
		Factoring Polynomials		0:08
			Example: Greatest Common Factor (GCF)	0:40
			Example: Perfect Square Trinomials	1:30
			Example: General Trinomials	2:48
		Sum and Difference of Two Cubes		3:25
			Example	4:18
		Quadratic Form		6:20
		Lecture Example 1		7:30
		Lecture Example 2		10:43
		Additional Example 3		2:27
		Additional Example 4		4:06
	Remainder and Factor Theorems			27:52
		Intro		0:00
		Remainder Theorem		0:04
			Quotient and Remainder	0:30
			Examples	1:34
		Synthetic Substitution		5:04
			Example	5:28
		Factor Theorem		10:00
		Factoring Polynomials		11:21
			Example	11:51
		Lecture Example 1		16:38
		Lecture Example 2		18:41
		Additional Example 3		1:52
		Additional Example 4		3:06
	Roots and Zeros			31:04
		Intro		0:00
		Numbers of Roots		0:10
			Example: Real and Complex Roots	0:23
		Descartes' Rule of Signs		3:43
			Example: Positive Real Roots	4:58
			Example: Negative Real Roots	8:00
		Finding the Roots		12:11
		Conjugate Roots		13:24
		Lecture Example 1		15:41
		Lecture Example 2		19:41
		Additional Example 3		4:04
		Additional Example 4		5:04
	Rational Zero Theorem			29:27
		Intro		0:00
		Equation		0:14
			Leading Coefficient and Constant Term	0:30
			Example	2:15
		Leading Coefficient Equal to 1		8:08
			Example	9:20
		Finding Rational Zeros		11:48
		Lecture Example 1		12:10
		Lecture Example 2		15:59
		Additional Example 3		3:15
		Additional Example 4		5:17
Section 7: Rational Equations and Inequalities
	Operations on Functions			35:12
		Intro		0:00
		Arithmetic Operations		0:12
			Example: Domain	0:25
		Composition of Functions		7:35
			Example	7:55
		Composition is Not Commutative		17:13
			Example	18:18
		Lecture Example 1		21:51
		Lecture Example 2		24:25
		Additional Example 3		3:12
		Additional Example 4		4:18
	Inverse Functions and Relations			18:12
		Intro		0:00
		Inverse of a Relation		0:24
			Example: Ordered Pairs	0:33
		Inverse of a Function		2:15
		Procedure to Construct an Inverse Function		4:28
			Example: Inverse Function	4:58
			Example: Inverse Function 2	7:31
		Inverses and Compositions		8:41
		Lecture Example 1		9:59
		Lecture Example 2		10:45
		Additional Example 3		1:48
		Additional Example 4		4:32
	Square Root Functions and Inequalities			26:24
		Intro		0:00
		Square Root Functions		0:06
			Example: Not Square Root Function	0:23
			Example: Square Root Function	1:17
		Graphing Square Root Functions		3:11
			Example: Radicand	3:21
		Square Root Inequalities		6:51
			Example	7:13
		Lecture Example 1		11:27
		Lecture Example 2		14:05
		Additional Example 3		3:07
		Additional Example 4		4:36
	nth Roots			24:06
		Intro		0:00
		Definition of the nth Root		0:13
			Example	0:36
		Principal nth Root		2:18
			Index	3:04
			Examples	3:20
		Using Absolute Values		6:25
			Examples	6:52
		Lecture Example 1		11:26
		Lecture Example 2		13:17
		Additional Example 3		3:05
		Additional Example 4		2:54
	Operations with Radical Expressions			34:38
		Intro		0:00
		Properties of Radicals		0:22
			Example	1:37
		Simplifying Radical Expressions		2:58
			Examples	3:24
		Rationalizing Denominators		4:08
			Examples	4:18
		Conjugate Radical Expressions		8:01
			Example	8:09
		Adding and Subtracting Radicals		11:23
			Examples	11:44
		Multiplying Radicals		12:57
			Examples	13:03
		Lecture Example 1		16:53
		Lecture Example 2		20:11
		Additional Example 3		4:16
		Additional Example 4		6:49
	Rational Exponents			24:36
		Intro		0:00
		Definition 1		0:24
			nth Root	0:44
			Example: Even	1:29
		Definition 2		2:55
		Simplifying Expressions		3:20
			Examples	3:40
		Simplified Form		7:07
			Example	7:32
		Lecture Example 1		8:18
		Lecture Example 2		10:20
		Additional Example 3		6:35
		Additional Example 4		5:57
	Solving Radical Equations and Inequalities			38:46
		Intro		0:00
		Radical Equations		0:23
			Examples	0:34
		Example: Radical Equation		4:47
		Extraneous Roots		12:29
		Eliminating nth Roots		14:28
			Examples	14:54
		Radical Inequalities		16:38
			Example	17:18
		Lecture Example 1		20:28
		Lecture Example 2		22:57
		Additional Example 3		4:27
		Additional Example 4		7:27
Section 8: Radical Expressions and Equations
	Multiplying and Dividing Rational Expressions			30:11
		Intro		0:00
		Simplifying Rational Expressions		0:12
			Examples: Rational Expressions	0:31
		Factoring -1		3:26
			Example	3:33
		Multiplying and Dividing Rational Expressions		4:50
			Multiplying	5:08
			Dividing	5:16
			Example	6:10
		Factoring		9:13
			Example	9:33
		Complex Fractions		13:15
			Example	13:27
		Lecture Example 1		15:36
		Lecture Example 2		18:25
		Additional Example 3		4:30
		Additional Example 4		5:02
	Adding and Subtracting Rational Exprsesions			51:53
		Intro		0:00
			Example: Fractions	0:22
		Least Common Multiple (LCM)		1:36
			Example	2:07
		Adding and Subtracting		7:56
			Least Common Denominator (LCD)	8:01
			Example: Fractions	8:14
			Example: Rational Expression	10:23
			Equivalent Fractions	13:45
			Example	14:20
		Simplifying Complex Fractions		20:03
			Example	20:28
		Lecture Example 1		26:34
		Lecture Example 2		31:06
		Additional Example 3		7:30
		Additional Example 4		5:46
	Graphing Rational Functions			45:13
		Intro		0:00
		Rational Functions		0:35
			Example	0:57
		Breaks in Continuity		2:48
			Discontinuities	3:19
			Example: Excluded Values	3:52
		Graphs and Discontinuities		4:36
			Example: Hole Discontinuity	6:07
			Example: Asymptote	8:53
		Horizontal Asymptotes		13:34
			Example	13:54
		Lecture Example 1		17:58
		Lecture Example 2		20:29
		Additional Example 3		9:04
		Additional Example 4		8:38
	Direct, Joint, and Inverse Variation			21:49
		Intro		0:00
		Direct Variation		0:16
			Constant of Variation	0:44
		Graph of Direct Variation		1:28
			Example: Straight Line	1:36
		Joint Variation		2:55
		Inverse Variation		4:17
			Example	4:50
		Graph of Inverse Variation		5:35
			Example	6:00
		Proportions		8:00
			Example	9:28
		Lecture Example 1		12:32
		Lecture Example 2		14:26
		Additional Example 3		2:46
		Additional Example 4		2:32
	Solving Rational Equations and Inequalities			53:21
		Intro		0:00
		Rational Equations		0:15
			Example: Not Rational Equation	0:26
			Example: X in Denominator	0:38
			Example: LCD	1:08
		Example: Rational Equations		5:19
		Extraneous Solutions		12:08
			Example	12:42
		Rational Inequalities		15:31
			Example	15:45
		Example: Rational Inequalities		12:05
		Lecture Example 1		32:06
		Lecture Example 2		35:18
		Additional Example 3		6:38
		Additional Example 4		6:35
Section 9: Exponential and Logarithmic Relations
	Exponential Functions			28:22
		Intro		0:00
		What is an Exponential Function?		0:11
			Exponent and Base	0:38
		Graphing Exponential Functions		1:31
			Example	1:34
		Properties		4:05
		Growth and Decay		9:38
		Equations		10:32
			Example	11:05
		Inequalities		13:00
			Example	14:29
		Lecture Example 1		16:48
		Lecture Example 2		18:50
		Additional Example 3		3:16
		Additional Example 4		3:48
	Logarithms and Logarithmic Functions			36:31
		Intro		0:00
		What are Logarithms?		0:17
			Examples	1:30
		Logarithmic Functions		4:09
		Graph of the Logarithmic Function		4:52
		Properties		9:08
		Inverse Property		10:47
		Equations		11:44
			Example	12:11
		Inequalities		14:45
		Equations with Logarithms on Both Sides		17:00
			Example	17:18
		Inequalities with Logarithms on Both Sides		19:17
			Example	19:32
		Lecture Example 1		20:31
		Lecture Example 2		22:38
		Additional Example 3		4:03
		Additional Example 4		7:53
	Properties of Logarithms			29:50
		Intro		0:00
		Product Property		0:08
			Example	0:26
		Quotient Property		1:06
			Example	1:12
		Power Rule		3:29
			Example	3:33
		Equations		5:43
			Example	6:19
		Lecture Example 1		12:19
		Lecture Example 2		16:13
		Additional Example 3		4:43
		Additional Example 4		4:56
	Common Logarithms			27:10
		Intro		0:00
		What are Common Logarithms?		0:54
			Base 10	0:58
		Equations		2:00
			Examples	2:22
		Inequalities		5:35
			Example	5:42
		Change of Base		9:23
			Example	10:09
		Lecture Example 1		12:04
		Lecture Example 2		15:16
		Additional Example 3		4:52
		Additional Example 4		5:49
	Base 'e' and Natural Logarithms			19:52
		Intro		0:00
		The Number 'e'		0:32
			Natural Base	0:44
			Euler	1:12
			Natural Exponential Function	1:38
			Natural Log Function	2:44
			Growth and Decay	2:55
		Natural Logarithms		3:16
			Graph (Inverse)	3:34
		Equations and Inequalities		4:49
		Lecture Example 1		7:21
		Lecture Example 2		9:10
		Additional Example 3		2:05
		Additional Example 4		3:58
	Exponential Growth and Decay			28:10
		Intro		0:00
		Decay		0:15
			Fixed Percentage	0:24
			Rate of Decay	2:35
		Scientific Model of Decay (Exponential Decay)		4:17
			Graph	5:19
		Growth		6:19
			Rate of Growth	6:36
		Scientific Model of Growth (Exponential Growth)		6:41
			Graph	6:48
		Lecture Example 1		7:48
		Lecture Example 2
		Additional Example 3		5:07
		Additional Example 4		6:38
Section 10: Conic Sections
	Midpoint and Distance Formulas			29:35
		Intro		0:00
		Midpoint Formula		0:35
		Distance Formula		1:42
			Example	2:52
		Lecture Example 1		3:40
		Lecture Example 2		6:37
		Additional Example 3		4:26
		Additional Example 4		6:27
	Parabolas			26:11
		Intro		0:00
		What is a Parabola?		0:21
			Focus and Directrix	0:33
			Axis of Symmetry	1:41
		Vertex		2:03
			Example	2:15
		Standard Form		3:11
			Upward and Downward	4:07
		Graphing Parabolas		5:24
			Example	6:32
		Latus Rectum		7:37
		Horizontal Parabolas		9:10
		Focus and Direction		12:31
		Lecture Example 1		13:11
		Lecture Example 2		16:46
		Additional Example 3		2:35
		Additional Example 4		4:48
	Circles			17:33
		Intro		0:00
		What are Circles		0:17
			Center, Radius	0:37
		Equation (Standard Form)		0:46
		Graphing		1:21
		Center Not at Origin		1:53
			Example	2:06
		Lecture Example 1		4:16
		Lecture Example 2		8:22
		Additional Example 3		2:25
		Additional Example 4		4:00
	Ellipses			38:57
		Intro		0:00
		What are Ellipses?		0:59
			Foci	1:04
		Properties		3:47
			Major Axis, Minor Axis	4:03
		Standard Form		7:22
			Example	8:05
		Vertical Major Axis		10:12
			Example	10:40
		Graphing Ellipses		13:33
			Example: Completing the Square	14:04
		Equation with Center at (h,k)		17:25
			Example	17:53
		Lecture Example 1		19:36
		Lecture Example 2		23:52
		Additional Example 3		4:58
		Additional Example 4		5:50
	Hyperbolas			37:59
		Intro		0:00
		What are Hyperbolas?		1:09
		Properties		2:35
			Transverse Axis, Conjugate Axis	2:57
			Center, Vertices	3:54
		Standard Form		4:33
		Vertical Transverse Axis		6:35
		Asymptotes		10:17
		Graphing Hyperbolas		13:44
			Example	17:23
		Equation with Center at (h,k)		18:20
		Lecture Example 1		20:19
		Lecture Example 2		23:25
		Additional Example 3		8:20
		Additional Example 4		2:59
	Conic Sections			23:10
		Intro		0:00
		What are Conic Sections?		2:16
		Standard Form		2:58
			Example	5:29
		Identifying Conic Sections		6:14
			Example	6:55
		Lecture Example 1		8:55
		Lecture Example 2		11:18
		Additional Example 3		6:26
		Additional Example 4		4:15
	Solving Quadratic Systems			28:18
		Intro		0:00
		Linear Quadratic Systems		0:04
			Example	0:28
		Solutions		3:13
		Quadratic Quadratic System		3:36
			Example: Elimination	3:45
		Solutions		7:34
		Systems of Quadratic Inequalities		7:55
			Example	8:07
		Lecture Example 1		11:10
		Lecture Example 2		16:12
		Additional Example 3		4:29
		Additional Example 4		3:34
Section 11: Sequences and Series
	Arithmetic Sequences			27:44
		Intro		0:00
		Sequences		0:27
			Example: Term	0:36
		Arithmetic Sequence		2:13
			Common Difference	2:22
			Example	2:35
		Formula for nth Term		3:39
			Example	4:29
		Equation for nth Term		5:58
			Example	6:10
		Arithmetic Means		7:40
			Example	8:13
		Lecture Example 1		14:08
		Lecture Example 2		15:35
		Additional Example 3		3:36
		Additional Example 4		5:01
	Arithmetic Series			29:12
		Intro		0:00
		What are Arithmetic Series?		0:22
			Example: Sequence	0:29
			Example: Common Difference (d)	0:35
		Sum of Arithmetic Series		2:52
			Example	3:44
		Sigma Notation		6:10
			Example	6:48
		Lecture Example 1		8:32
		Lecture Example 2		12:39
		Additional Example 3		4:07
		Additional Example 4		5:01
	Geometric Sequences			24:52
		Intro		0:00
		What are Geometric Sequences?		0:20
			Common Ratio	1:03
			Example	1:20
		nth Term of a Geometric Sequence		3:39
		Geometric Means		4:16
			Example: Missing Term	5:06
		Lecture Example 1		8:09
		Lecture Example 2		11:42
		Additional Example 3		2:33
		Additional Example 4		5:18
	Geometric Series			27:02
		Intro		0:00
		What are Geometric Series?		0:20
			Example: Common Ratio	1:00
		Sum of Geometric Series		2:27
			Example	4:01
		Sigma Notation		4:56
			Example: Index	5:24
			Example	6:20
		Another Sum Formula		7:51
		Specific Terms		9:19
		Lecture Example 1		11:15
		Lecture Example 2		14:30
		Additional Example 3		4:06
		Additional Example 4		4:37
	Infinite Geometric Series			24:01
		Intro		0:00
		What are Infinite Geometric Series?		0:35
			Partial Sums of the Infinite Series	1:17
			Example	1:24
		Sum of an Infinite Geometric Series		3:16
			Convergent Series	3:25
			Example	4:17
		Sigma Notation		5:31
			Example	5:43
		Repeating Decimals		6:38
			Example	6:48
		Lecture Example 1		9:33
		Lecture Example 2		11:20
		Additional Example 3		2:21
		Additional Example 4		3:21
	Recursion and Special Sequences			17:11
		Intro		0:00
		Fibonacci Sequence		0:17
			Example: Fibonacci Sequence	0:36
			Example: Recursive Formula	2:38
		Iteration		3:40
			Example	4:57
		Lecture Example 1		7:10
		Lecture Example 2		9:03
		Additional Example 3		3:06
		Additional Example 4		2:52
	Binomial Theorem			38:25
		Intro		0:00
		Pascal's Triangle		0:11
			General Form	2:43
		Properties		7:01
		Binomial Theorem		9:20
			Example	11:47
		Finding a Specific Term		16:24
			Example	16:32
		Lecture Example 1		20:35
		Lecture Example 2		23:30
		Additional Example 3		5:24
		Additional Example 4		5:29
	Proof and Mathematical Induction			19:53
		Intro		0:00
		Math Induction Principle		0:19
			Example	0:29
		Counter Examples		5:00
			Example	5:14
		Lecture Example 1		7:16
		Lecture Example 2		10:53
		Additional Example 3		5:07
		Additional Example 4		1:31