TheBRAIN

Online Math Videos

Preparatory Mathematics | College Mathematics | Business Mathematics | ICI Math (Remedial)

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Preparatory Mathematics

Operations with Numbers

Unit 1: Integers

Unit 2: Fractions

Unit 3: Decimals

Basic Algebra

Unit 1: Terminology

Unit 2: Integer Exponents

Unit 3: Radicals & Fractional Exponents

Unit 4: Operations with Algebraic Expressions

Intermediate Algebra

Unit 1: Factoring

Unit 2: Algebraic Fractions - Multiplication & Division

Unit 3: Algebraic Fractions- Addition and Subtraction

Equations

Unit 1: Linear Equations

Unit 2: Fractional & Power Equations

Unit 3: Formulas

Percents

Unit 1: Introduction to Percents

Unit 2: Percent Problems

Unit 3: Percent Differences

Graphing and Systems of Equations

Unit 1: Graphing

Unit 2: Graphical Solutions

Unit 3: Algebraic Solutions

Unit Conversions

Unit 1: Mass & Length

Unit 2: Area & Volume

Trigonometry

Unit 1: Angles & Triangles

Unit 2: The Trigonometric Ratios

Unit 3: Solving Right Triangles

Unit 4: Ratios for Any Angle

Geometry and Mensuration

Unit 1: Facts of Geometry

Unit 2: Perimeter and Area

Unit 3: Surface Area and Volume

College Mathematics

Algebra (Module 1)

Unit 1: Exponents & Radicals
Unit 2: Algebraic Simplification
Unit 3: Factoring
Unit 4: Algebraic Fractions

Algebra (Module 2)

Unit 1: Linear Equations
Unit 2: Power and Fractional Equations
Unit 3: Formula Manipulation
Unit 4: Variation

Analytic Geometry

Unit 1: Properties of Straight Lines
Unit 2: Equations of Straight Lines
Unit 3: Applications of Straight Lines

Note: Poor sound and video quality on these units.

Analytic Trigonometry

Unit 1: Simplification
Unit 2: Proving Identities
Unit 3: More Trigonomic Identities
Unit 4: Trigonomic Equations

Boolean Algebra

Unit 1: Logic Blocks
Unit 2: Logic Block Diagrams
Unit 3: Truth Tables
Unit 4: Sum & Product Form
Unit 5: Basic Theorems
Unit 6: De Morgan's Law
Unit 7: Algebraic Simplification
Unit 8: Karnaugh's Map - Plotting
Unit 9: Karnaugh's Map - Looping
Unit 10: Karnaugh's Map - Simplifying

Complex Numbers

Unit 1: Concepts & Basic Forms
Unit 2: Exponential Form and Basic Operations
Unit 3: Series AC Circuits
Unit 4: Parallel and Series/Parallel Circuits

Computations & Unit Conversion

Unit 1: Approximate Numbers
Unit 2: Calculator Computations
Unit 3: Basic Unit Conversions
Unit 4: Unit Conversion Applications

Differential Calculus Module 1

Unit 1: Preliminary Concepts
Unit 2: Rules for Derivatives
Unit 3: More Rules for Derivatives
Unit 4: Tangents and Normals

Differential Calculus Module 2

Unit 1: Critical Point Characteristics
Unit 2: Newton's Method/Curve Sketching
Unit 3: Rates of Change
Unit 4: Time Related Rates

Differential Calculus Module 3

Unit 1: Applied Maxima and Minima
Unit 2: Trigonometric Functions
Unit 3: Logarithmic/Exponential Functions
Unit 4: Applications with Transcendental Functions

Empirical Equations

Unit 1: Introduction to Empirical Equations
Unit 2: Linearization of Data
Unit 3: Linear Method Selected Points
Unit 4: Non-Linear Method Selected Points
Unit 5: Linear Method of Least Squares
Unit 6: Method of Least Squares - Exponents
Unit 7: Method of Least Squares - Powers
Unit 8: Summary

Logarithms

Unit 1: Concepts of Logarithms
Unit 2: Common Logarithms
Unit 3: Computations of Logarithms
Unit 4: Powers and Logarithms
Unit 5: Logarithmics Graphs
Unit 6: Natural Logarithms
Unit 7: Applications of Natural Logarithms

Number Systems

Unit 1: Binary Number Systems
Unit 2: Arithmetic Operations of Binary Numbers
Unit 3: Octal Number Systems
Unit 4: Hexadecimal Number System

Oblique Triangle Trigonometry

Unit 1: Trig Functions of Any Angle
Unit 2: Circular Measurement
Unit 3: Sine Law and Cosine Law
Unit 4: Vectors

Quadratics

Unit 1: Introduction to Quadratics
Unit 2: Solving Complete Quadratics

Unit 3: Graphing Quadratic Functions
Unit 4: Equations in the Quadratic Form

Right-Angle Trigonometry

Unit 1: Preliminary Concepts
Unit 2: Trigonometric Ratios
Unit 3: Applications

Sine Wave Analysis

Unit 1: y=asinx & y=acosx
Unit 2: y=asinbx & y=acosbx
Unit 3: y=asin(bx+c) & y=acos(bx+c)
Unit 4: Sketching Composite Functions

Systems of Equations

Unit 1: Graphical Solutions
Unit 2: Algebraic Solutions
Unit 3: Determinants
Unit 4: Cramer's Rule

Business Mathematics

Markup and Markdown

Unit 1: Markup

Unit 2: Markdown

Unit 3: Effective Markup

Trade and Cash Discounts

Unit 1: Trade Discounts

Unit 2: Multiple Trade Discounts

Unit 3: Cash Discounts

Unit 4: Partial Payments

Break-Even Analysis

Unit 1: Introduction

Unit 2: A Graphical Approach to Break-Even Analysis

Unit 3: Break-Even on a Percent Basis

Unit 4: Break-Even Analysis Problems

ICI Mathematics (Remedial)

Fractions

Unit 1: Introduction to Fractions

Unit 2: Operations with Fractions

Mensuration

Unit 1: Perimeter and Area

Unit 2: Surface Area and Volume

Unit 3: Applications of Mensuration

Decimals

Unit 1: Decimals ICI Math

Unit 2: Operations with Decimals