課程介紹

HOW BECOME AN ALGEBRA MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:

This 473-lesson course includes video and text explanations of everything from Algebra, and it includes 125 quizzes (with solutions!) and an additional 21 workbooks with extra pra

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哪些人適合這堂課？

• Current Algebra 1 and Algebra 2 students, or students about to start algebra who are looking to get ahead
• Homeschool parents looking for extra support with algebra
• Anyone who wants to study math for fun after being away from school for a while

學習目標

• Operations, including order of operations (PEMDAS) and like-terms
• Fractions, exponents, and radicals, including advanced operations with all three
• Equations and systems of equations, including inverse operations, direct and inverse variation, and distance/rate/time problems
• Graphing, including parallel and perpendicular lines, and parabolas
• Polynomials and factoring, including the quadratic formula and completing the square
• Functions, including domain and range, and sums and products of functions
• Inequalities, including trichotomy and graphing inequalities and conjunctions on a number line
• Exponential and logarithmic functions, including laws of logs, change of base, and graphing

課程介紹

Topics covered – Linear and quadratic equations, cross multiplication, and systems of equations

This beginner level algebra course is designed for students who want to focus on mastering the process of solving algebraic equations like a math guru! I

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哪些人適合這堂課？

• Students who wish to review introductory algebra
• Students who prefer to learn linear algebra through examples
• Students who want to master algebra question solving techniques at a moderate pace
• Returning college students who are required to take placement exams for algebra
• Recent high school graduates needing algebra for starting college
• Students preparing to sit for GRE or GMAT exams
• Middle school and high school algebra students
• Students who need to brush-up on beginner algebra to prepare for social science courses
• Students who need to fulfill basic algebra as a prerequisite
• Students who returned to school and want to brush up their algebra
• Students preparing to complete the GED

學習目標

• Mastering the steps of solving linear algebra equations using multiple detailed examples in each lecture
• Thoroughly review mathematical rules while solving algebra equations in every lecture
• Build confidence solving introductory algebra equations using practical and detailed step-by-step guides in each section
• Review important algebra terms and concepts with brief lecture notes in each section
• Variety of examples (easy to difficult) to help you solve basic linear algebra questions
• Multiple practice questions and quizzes for better understanding of topics in each section
• Linear algebra equations
• Simple quadratic equations
• Application of the quadratic formula
• Cross multiplication
• Systems of equations

課程介紹

This course is designed for university students taking intermediate algebra and college algebra and high school students taking algebra 1, algebra 2, or algebra 3.

Here is a list of topics covered in this course:

1.  Basic Arithmetic – Addition, Su

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哪些人適合這堂課？

• high school and college students including adults returning to college.

學習目標

• At the end of my course, students will be able to understand the basic fundamentals and principles of algebra.

課程介紹

This course is an introduction to the basic principles and skills of algebra. Topics include: Variables, Grouping Symbols, Equations, Translating Words Into Symbols, and Translating Sentences Into Equations.

    This course contains a series of vid

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哪些人適合這堂課？

• High School Students
• College Students

學習目標

• Fortify your understanding of algebra I.
• Learn the basics of algebra.
• Develop your problem solving skills.
• Develop your conceptual understanding of algebra.

課程介紹

The Ultimate Guide to Understanding Algebra is a comprehensive course that covers in depth all topics typically taught in a standard Algebra course. The short and digestible lectures allow you to master and practice one concept at a time without beco

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哪些人適合這堂課？

• This course is designed for students who want to master the essential fundamental concepts of Algebra.

學習目標

• Upon completion of the course, students will have mastery of the Algebra concepts covered in any standard Algebra Course. Students will have the skills necessary to succeed on most placement test, such as the ACT, GED or any High School Equivalency Exam.

課程介紹

This course covers algebraic topics including integers and real numbers, solving equations, graphing linear equations, polynomials, radicals and square roots, factoring, exponents, and applications (word problems). The course curriculum aligns to con

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哪些人適合這堂課？

• Middle School, High School, or Early College Level Students
• Students preparing for a college placement test
• Home-schooled students

學習目標

• Apply the Order of Operations for Simplifying expressions
• Simplify an Algebraic Expression with Integer Exponents
• Performs Operations on Polynomial Expressions
• Solve Quadratic Equations with Factoring
• Factor Polynomials
• Solve Linear Equations
• Graph Linear Equations with a variety of methods
• Simplify Radical Expressions
• Solve Literal Equations for Defined Variables
• Convert Between Scientific and Standard Notations
• Solve Geometric and Algebraic Applications (Word Problems)
• Identify the Slope of a Line from a Graph or Equations
• Solve Linear Inequalties

課程介紹

This is a college level course in Abstract Algebra with a focus on GROUP THEORY:)

Note: Abstract Algebra is typically considered the one of HARDEST courses a mathematics major will take.

This course is a step above a general mathematics course. Stu

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哪些人適合這堂課？

• Math majors or people who are interested in learning higher level math.

學習目標

• The Definition of a Binary Operation
• How to Determine if an operation is a binary operation
• How to determine if a binary operation is commutative or associative
• The Definition of a Group
• Examples of Important Groups such as The Integers, Rationals, Reals, Complex Numbers under various operations
• The General Linear Group
• The Special Linear Group
• The Klein Four-Group
• The Additive Group of Integers Modulo n
• Groups Defined on Powersets
• Groups Defined with componentwise multiplication
• How to Prove the Identity Element in a Group is Unique
• How to Prove that Inverses in a Group are Unique
• How to Prove various other Fundamental Properties of Groups
• How to Find the Order of an Element in a Group
• Knowledge of Cyclic Groups
• How to Find Generators for Cyclic Groups
• How to prove groups are cyclic and not cyclic
• How to Prove Various key results surrounding Cyclic Groups
• Knowledge of Subgroups
• Examples of Various Subgroups
• How to Prove a Set is a Subgroup
• How to Prove Various Key Results Surrounding Subgroups
• The Center of a Group
• Direct Products of Cyclic Groups
• How to Construct Finite Cyclic Groups using Direct Products
• Understand the Notions of a Function, Domain, and Codomain
• Understand the Notions of Direct Image and Inverse Image
• Understand Injective(one to one), Surjective(Onto), and Bijective Functions
• How to Prove Functions are Injective
• How to Prove Functions are Surjective
• How to Prove Functions are Bijective
• Understand Symmetric Groups
• Understand both cycle and array(two line) notation for Permutations
• How to Multiply Permutations in Array Notation
• How to Multiply Cycles in the Symmetric Group
• Understand the Notion of a Relation including reflexive, symmetric, and transitive relations
• Understand Equivalence Relations and Equivalence Classes
• Understand How Equivalence Classes Partition a Set
• Understand How to Prove from Scratch that Cosets are just Equivalence Classes that Partition a Group(yes I know wow!!)
• Understand Lagrange’s Theorem and it’s Proof
• Understand all of the Most Important Results and Corollaries of Lagrange’s Theorem
• How to Prove Conjugacy is an Equivalence Relation
• How to Prove Various Results involving Conjugacy Classes
• Understand and Know How to Prove the Class Equation
• Understand Key Results of the Class Equation
• How to Find Cosets given a Subgroup in Various Situations
• Understand Normal Subgroups
• How to Prove a Subgroup is Normal
• How to Prove Various Results surrounding Normal Subgroups
• How to Find Normal Subgroups
• Understand Group Homomorphisms both Mathematically and Intuitively
• Understand Group Isomorphisms
• How to Prove SEVERAL(tons and tons) of Results Surrounding Homomorphisms
• Understand Quotient Groups
• How to Find the Quotient Group
• How to Prove Several Results involving the Quotient Group
• How to Prove the First Isomorphism Theorem
• How to Prove the Second Isomorphism Theorem

課程介紹

This is a complete college level course in Algebra, hence the name College Algebra:)

Basically just,

1) Watch the videos, and try to follow along with a pencil and paper, take notes!

2) Eventually you should be able to do the problems before I do

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哪些人適合這堂課？

• Everyone!

學習目標

• How to Solve Linear Equations with and without Fractions
• How to Solve Rational Equations
• How to Solve Word Problems
• How to Add, Subtract, Multiply, and Divide Complex Numbers
• How to Solve Quadratic Equations by Factoring
• How to Solve Quadratic Equations using the Square Root Property
• How to Solve Quadratic Equations by Completing the Square
• How to Solve Quadratic Equations by using the Quadratic Formula
• How to Solve Equations with Square Roots
• How to Solve Equations with Rational Exponents
• How to Solve Equations by using Substitutions
• How to Solve Absolute Value Equations
• How to Solve Absolute Value Inequalities
• Understand what a Relation is
• Understand what a Function is
• How to Find the Domain and Range of a Relation
• How to Determine if a Relation is a Function
• How to use the Vertical Line Test
• How to Find Relative Extrema(Maximums and Minimums) from a Graph
• How to Determine where a Function is Increasing, Decreasing, or Constant from the Graph
• Understand Even and Odd Functions
• How to Determine if a Function is Even, Odd, or Neither
• How to Evaluate Piecewise Functions
• How to Compute the Difference Quotient
• How to Find the Slope of a Line
• How to Use the Slope Intercept Formula
• How to Use the Point Slope Formula
• How to Find the Equation of the Line that is Parallel to another Line
• How to Find the Equation of the Line that is Perpendicular to another Line
• How to Find the Average Rate of Change of a Function
• Knowledge of the Basic Graphs
• How to Graph the Standard Quadratic Function
• How to Graph the Standard Cubic Function
• How to Graph the Square Root Function
• How to Graph the Cube Root Function
• How to Graph the Absolute Value Function
• How to Find the Domain of Rational Functions
• How to Find the Domain of Square Root Functions
• Understand the Notion of Function Composition
• How to Find the Composition of Two Functions
• How to Find the Sum, Difference, Product, and Quotient of Functions and Find the Domain
• How to use the Horizontal Line Test
• Understand the Idea behind Inverse Functions
• How to Find the Inverse of a Function by Following a Series of Steps
• How to Find the Inverse of a Function by using Pure Understanding with No Work to Show(super awesome!!)
• How to Find the Midpoint of a Line Segment
• How to Find the Distance Between Two Points
• Understand the Concept of a Circle
• How to Find the Equation of a Circle in Various Scenarios
• How to Complete the Square to Write a Circle in Standard Form
• How to Graph a Circle and find it’s Domain and Range
• Understand the Standard Form of a Quadratic Function
• How to Find the Vertex and Axis of Symmetry of a Quadratic Function in Standard Form
• How to Find the Vertex and Axis of Symmetry of a Quadratic Function in General Form using a Formula
• How to Graph a Quadratic Function
• Understand what Polynomials are and their Purpose
• Understand Properties of the Graphs of Polynomials
• How to Find the End Behavior of a Polynomial
• How to Find the Zeros of a Polynomial and their Multiplicities
• Understand How Multiplicities Affect the Behavior of Polynomial Functions at x-intercepts
• How to Graph Polynomial Functions
• How to Perform Long Division
• How to Perform Synthetic Division
• How to use the Rational Roots Theorem/Rational Zeros Theorem
• How to Solve Polynomial Equations
• How to Find a Polynomial given the Zeros and a Point
• How to Find the Holes and Vertical Asymptotes of a Rational Function
• How to Find the Horizontal Asymptotes of a Rational Function
• Two Important Graphs and Their Translations
• How to Find the Domain, Range, and Asymptotes from the Graph of a Rational Function
• Understand Direct, Inverse, and Joint Variation
• How to Graph Exponential Functions
• How to Convert from Exponential Form to Logarithmic Form
• How to Convert from Logarithmic Form to Exponential Form
• How to Compute Values of Logarithms
• How to Find the Domain of Logarithmic Functions
• How to Graph Logarithmic Functions
• How to use the Change of Base Formula
• How to Expand using the Properties of Logarithms(tons of examples!)
• How to Condense using the Properties of Logarithms(tons of examples!)
• How to Solve Exponential Equations(tons of examples!)
• How to Solve Logarithmic Equations(tons of examples!)
• How to Find the Inverse of Exponential Functions
• How to Find the Inverse of Logarithmic Functions
• Understand the Compound Interest Formula
• How to Find the Time Required to Double your Money
• How to Solve Linear Systems of Equations with Two Variables using the Addition/Elimination Method
• How to Solve Linear Systems of Equations with Two Variables using the Substitution Method
• How to Solve Linear Systems of Equations with Three Variables
• How to Solve Nonlinear Systems of Equations of Equations
• How to Graph Inequalities

課程介紹

Become a Master of College Algebra & Trigonometry and Ace your next Algebra Exam! In this course, you will master all concepts of Algebra and Trigonometry, from beginner to advanced, with our step-by-step video tutorials and test your knowledge with

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哪些人適合這堂課？

• Students who need a complete understanding of Advanced Algebra
• Students currently enrolled in a College Level Algebra Course
• Students currently enrolled in a Pre-Calculus Course
• Students who need to master Algebra in order to fully prepare for Calculus

學習目標

• 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
• 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
• Permutations
• Counting Theory
• Probability
• Angles in Trigonometry
• Complementary Angles
• Supplementary Angles
• Determine if two angles are coterminal angles
• Finding Angle measures for similar triangles
• Finding side lengths for similar triangles
• Finding the Trigonometric Function Values of an Angle
• Finding Trigonometric Function Values Given One Value and the Quadrant
• Finding Trigonometric Function Values Based on Reciprocal Identities
• Finding Trigonometric Function Values Based on Pythagorean Identities
• Finding Trigonometric Function Values Based on Quotient Identities
• Finding Trigonometric Function Values of Acute Angles
• Writing a Trigonometric Function in terms of its Cofunction
• Solving Trigonometric Equations Using Cofunction Identities
• Finding Reference Angles
• Special Angles as Reference Angles
• Finding Angle Measures with Special Angles
• Finding Trigonometric Function Values of Non-Acute Angles
• Finding Trigonometric Function Values Using a Calculator
• Finding Unknown Angle Measures Using Inverse Trigonometric Functions: arcsin, arccos, arctan
• Solving Right Triangles
• Solving Word Problems that involve angles of elevation
• Solving Word Problems that involve angles of depression
• Radian Measure
• Converting Between Degrees and Radians
• How to Find the Arc Length on a Circle
• How to Find the Area of a Sector of a Circle
• Defining the Six Trigonometric Functions Using the Unit Circle
• Working with Circular Functions
• Solving Trigonometry Word Problems that Involve Linear Speed
• Solving Trigonometry Word Problems that Involve Angular Speed
• Graphing Sine and Cosine
• Function Transformations with Sine and Cosine
• Finding the Period, Amplitude, and Phase Shift
• Using the Fundamental Trigonometric Identities to Find Missing Trigonometric Ratios
• Using the Fundamental Trigonometric Identities to rewrite Trigonometric Expressions
• How to Verify Trigonometric Identities
• Sum and Difference Identities for Sine, Cosine, and Tangent
• Finding sin(A + B)
• Finding cos(A + B)
• Finding tan(A + B)
• Double-Angle Identities
• Product-to-Sum Identities
• Sum-to-Product Identities
• Half-Angle Identities
• Evaluating Inverse Trigonometric Functions
• Graphing the Inverse Trigonometric Functions
• Finding the Composition of the Inverse Trigonometric Functions
• Solving Trigonometric Equations Using Linear Methods
• Solving Trigonometric Equations by Factoring
• Solving Trigonometric Equations by Squaring/Square Roots
• Solving Trigonometric Equations Using Identities
• Solving Trigonometric Equations Using the Quadratic Formula
• Solving Trigonometric Equations with Half-Angles
• Solving Trigonometric Equations with Multiple Angles
• Solving Trigonometric Equations Involving Inverse Trigonometric Functions
• Law of Sines
• Law of Sines (Ambiguous Case)
• Area of a Triangle using Sine (SAS) and (ASA)
• Law of Cosines
• Area of a Triangle using Heron’s Formula
• Finding the Component Form of a Vector
• Finding the Magnitude of a Vector
• Finding the Direction Angle of a Vector
• Finding the sum (resultant) of two vectors
• Multiplying a vector by a scalar
• Finding the Unit Vector
• Writing a Linear Combination of Unit Vectors
• Find the Dot Product of Two Vectors
• Find the Angle Between Two Vectors
• Determine if Two Vectors are Orthogonal
• Adding Two Complex Numbers Graphically
• Finding the Trigonometric (Polar) Form of a Complex Number
• Converting a Complex Number between Rectangular and Polar Forms
• Multiplying Complex Numbers in Polar Form
• Dividing Complex Numbers in Polar Form
• Product and Quotient Theorems
• De Moivre’s Theorem
• Powers of Complex Numbers in Polar Form
• Solving Equations Using Roots of Complex Numbers
• Plotting Points on the Polar Coordinate Grid
• Converting Points Between Rectangular and Polar Forms
• Writing Polar Coordinates in Alternative Forms
• Finding the Distance Between Two Polar Points
• Converting a Line Between Polar and Rectangular Forms
• Graphing a Line on the Polar Grid
• Finding the Inclination of a Line
• Finding the Angle Between Two Lines
• Finding the Shortest Distance Between a Line and a Point

課程介紹

Become a Master of  Algebra 1 and Ace your next Exam! In this course, you will master the concepts of  Algebra 1 with our step by step tutorials and quizzes. The concepts you will learn are fundamental to success in higher math classes such as Algebr

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哪些人適合這堂課？

• Anyone who wants to Master Algebra 1 and get ready for Algebra 2, Geometry, and college level math
• Homeschool students who want extra help with Algebra
• Students who need an Algebra refresher

學習目標

• You will be a master of Algebra 1 and be fully ready for Geometry, Trigonometry, and Algebra 2
• Solve Linear Equations in one Variable
• Solve and graph Linear Inequalities in one Variable
• Graph a Linear Equation in two Variables
• Write Linear Equations in two Variables in Standard Form, and Slope-Intercept Form
• Determine if a Relation represents a Function
• Solve Systems of Linear Equations using Graphing, Substitution, and Elimination
• Perform operations with exponents (rules of exponents)
• Operations with Polynomials: add, subtract, multiply, divide, and factor polynomials
• Operations with Rational Expressions: simplify, add, subtract, multiply, divide and find the restricted values
• You will learn how to solve Rational Equations
• Operations with Radicals: simplify, add, subtract, multiply, and divide radical expressions
• Solve Radical Equations
• Solve Quadratic Equations using Factoring, Completing the Square, and the Quadratic Formula