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Advanced Algebra Lectures

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Here are all the lectures which can be found on this website for Advanced Algebra. Section numbers refer only to the current textbooks being used.

	FIRST SEMESTER		SECOND SEMESTER

Ch P	Prerequisites	Ch 1B	Equations and Inequalities
P.1	Real Numbers	1.4	Quadratic Equations
P.2	Exponents and Radicals	1.5	Complex Numbers
P.3	Polynomials and Special Products
P.4	Factoring	Ch 3	Polynomial Functions
		3.1	Quadratic Functions
Ch 1A	Equations and Inequalities	3.2	Polynomial Functions of Higher Degree
1.2	Linear Equations in One Variable	3.3	Polynomial and Synthetic Division
1.3	Modeling w/Linear Equations	3.4	Zeros of Polynomial Functions
		3.5	Mathematical Modeling
Ch T	Triangle Trigonometry Unit
S1	Graphing Calculator	Ch 4A	Rational Functions
S2.1	Right Triangle Trigonometry	P.5	Rational Expressions
S2.2	Right Triangle Trigonometry	4.1	Rational Functions and Asymptotes
		4.2	Graphs of Rational Functions
Ch 9/10	Matrices/Determinants/Systems of Eq.
10.2.1	Matrices - No Calculator	Ch 5	Exponential and Logarithmic Functions
10.2.2	Matrices - Calculator	5.1	Exponential Functions and Graphs
10.4	Determinant of Square Matrix	5.2	Logarithmic Functions and Graphs
9.1	Solving Systems of Equations	5.3	Properties of Logarithms
9.2	Two Variable Linear Systems	5.4	Exponential and Logarithmic Equations
10.3	Inverse of a Square Matrix	5.5	Exponential and Logarithmic Models
10.3/9.3	Inverse of a Matrix and Sys of Eq
10.5	Applications of Matrices and Determinants
10.7	Linear Inequalities	Ch 7	Analytic Trigonometry
9.4	Systems of Inequalities	7.0.1	Wrapping Function Values (Positive)
9.5.1	Intro to Linear Programming	7.0.2	Wrapping Function Values (Negative)
9.5.2	Linear Programming	7.0.3	Sine/Cosine Values
		7.0.4	Tangent/Cotangent/Secant/Cosecant Values
Ch 2	Functions and their Graphs	7.0.5	More Trigonometric Values (Negative)
2.1	Linear Equations in Two Variables	7.3.1	Trigonometric Equations I
2.2.1	Functions	7.3.2	Trigonometric Equations II
2.2.2	More on Functions	7.3.3	Trigonometric Equations III
2.2.3	Piecewise Functions	7.1	Using Fundamental Identities
2.3	Analyzing Graphs of Functions	7.2	Verifying Trigonometric Identities
2.5	Combinations of Functions	7.5	Double Angle Identities and Proofs
2.6	Inverse Functions