Level: Intermediate | Genre: eLearning | Language: English + subtitle | Duration: 551 Lectures ( 243h 33m ) | Size: 80 GB
Master College Level Algebra with our Step by Step Video Tutorials. Over 4500 Practice Questions! Ace your Algebra Exam!
What you'll learn
Review of Basic Concepts: Real Numbers, Order of Operations, Number Line, Absolute Value
Review of Polynomials: Adding, Subtracting, Multiplying, Dividing, Synthetic Division, Factoring
Review of Rational Expressions: Lowest Terms, Undefined, Addition, Subtraction, Multiplication, Division, Complex Fractions
Review of Radical Expressions: Radical Notation, Simplifying a Radical, Operations with Radicals, Rationalizing Denominators
Solving Linear Equations and Inequalities
Solving Application of Linear Equations Problems (Word Problems)
Solving Absolute Value Equations and Inequalities
Working with Complex Numbers
Solving Quadratic Equations and Inequalities
Solving Applications of Quadratic Equations (Word Problems)
Solving Rational Equations and Inequalities
Solving Radical Equations and Inequalities
The Rectangular Coordinate Plane
The Complex Coordinate Plane
Distance and Midpoint Formulas
Relations and Functions
Domain and Range
Function Notation, Function Composition, Operations on Functions
Graphing Linear Equations
Linear Equations, Finding the Slope of a Line and Equations of Lines
Graphing Circles
Graphing Elementary Functions
Graphing Transformations
Solving Systems of Linear Equations in Two Variables
Solving Systems of Linear Equations in Three Variables
Solving Word Problems with Linear Systems
Using Curve Fitting to Find an Equation Through Three Points
Partial Fraction Decomposition
Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination
Matrix Algebra
Adding and Subtracting Matrices
Solving Matrix Equations
Multiplying a Matrix by a Scalar
Multiplying Matrices
Finding the Inverse of a Matrix
Solving Linear Systems using Matrix Inverses
Determine if functions are one-to-one using the horizontal line test
Determine if functions are one-to-one algebraically
Find the Inverse of a One-to-One Function
Find the Inverse of a Domain Restricted One-to-One Function
Graphing the Inverse of a Function
Graphing an Exponential Function
Solving Exponential Equations with Like Bases
Solving Compound Interest Word Problems
Graphing Logarithmic Functions
Properties of Logarithms | Condensing Logarithms | Expanding Logarithms
Change of Base Rule for Logarithms
Solving Exponential and Logarthimic Equations
Solving Exponential and Logarithmic Inequalities
Applications of Exponential and Logarithmic Functions
Finding the Vertex Form of a Parabola
How to Graph a Parabola
Remainder Theorem
Using the Remainder Theorem to Test Zeros for a Polynomial Function
The Factor Theorem
Using the Factor Theorem to Factor a Polynomial Function Given One Zero
The Rational Zeros Theorem
The Fundamental Theorem of Algebra
The Number of Zeros Theorem
Writing Polynomial Equations Given Zeros and a Point
Conjugate Zeros Theorem
Descartes' Rule of Signs
Intermediate Value Theorem
Boundedness Theorem
Finding the upper and lower bounds for the real zeros of a polynomial function
Solving NonLinear Systems of Equations
Conic Sections: Parabolas - Focus and Directrix
Conic Sections: Ellipses - Finding the Foci and Graphing
Sequences
Arithmetic Sequences
Geometric Sequences
Arithmetic Series
Geometric Series
Finding the Common Difference in an Arithmetic Sequence
Evaluating an Arithmetic Series
The Binomial Theorem
Working with sets, roster method, subsets, Venn diagrams
Combinations
