MATH LESSONS

SheLovesMath.com is a free math website that explains math in a simple way, and includes lots of examples, from Counting through Calculus!

Here are the topics that She Loves Math covers, as expanded below:  Basic Math, Pre-Algebra, Beginning Algebra, Intermediate Algebra, Advanced Algebra, Pre-Calculus, Trigonometry, and Calculus.

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Note: Please let me know if you see any errors or have suggestions for this site at lisa@shelovesmath.com. Thanks!

Basic Math

Pre-Algebra

 Beginning Algebra

Introduction to Algebra 

Types of Numbers and Algebraic Properties

Solving Algebraic Equations

Linear Inequalities

Word Problems in Algebra

 Intermediate Algebra

 

Systems of Linear Equations and Word Problems

Algebraic Functions

Scatter Plots, Correlation, and Regression

Exponents and Radicals in Algebra

Introduction to Multiplying Polynomials

Introduction to Quadratics

 

Solving Quadratics by Factoring and Completing the Square

Quadratic Inequalities

Quadratic Applications

Solving Absolute Value Equations and Inequalities

Solving Radical Equations and Inequalities

Imaginary (Complex) Numbers

Advanced Algebra

Advanced Functions: Compositions, Even and Odd, Increasing and Decreasing

Inverses of Functions

Parent Functions and Transformations

Piecewise Functions

The Matrix and Solving Systems with Matrices

Introduction to Linear Programming

Rational Functions and Equations

Graphing Rational Functions, including Asymptotes

Graphing and Finding Roots of Polynomial Functions

Solving by Factoring

Exponential Functions

Logarithmic Functions

Transformations, Inverses, Compositions, and Inequalities of Exponents/Logs

Solving Inequalities

Pre-Calculus

Trigonometry

Right Triangle Trigonometry

Angles and the Unit Circle 

Linear and Angular Speeds, Area of Sectors, and Length of Arcs

Graphs of Trig Functions

Transformations of Trig Functions

The Inverses of Trigonometric Functions

Solving Trigonometric Equations

Trigonometric Identities

Law of Sines and Cosines and Areas of Triangles

Polar Coordinates, Equations and Graphs

Trigonometry and the Complex Plane

Calculus (Differential)

Introduction to Calculus and Study Guides

Limits and Continuity

Definition of the Derivative

Basic Differentiation Rules: Constant, Power, Product, Quotient and Trig Function Rules

Equations of the Tangent Line, Tangent Line Approximation, and Rates of Change

 

The Chain Rule

Implicit Differentiation and Related Rates

Curve Sketching

Optimization

Differentials, Linear Approximation and Error Propagation

Exponential and Logarithmic Differentiation

 Calculus (Integral)

Exponential and Logarithmic  Integration

Exponential Growth

Derivatives and Integrals of Inverse Trig Functions

Applications of Integration: Area and Volume

Integration by Parts

Integration by Partial Fractions

Antiderivatives and Indefinite Integration

U-Substitution Integration

Differential Equations and Slope Fields

L’Hopital’s Rule

Riemann Sums and Area by Limit Definition

Definite Integration

 

 

 

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