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Professor Dave Explains

Mathematics (All Of It)

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165 items
Last updated on Sep 23, 2019
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Introduction to Mathematics
6:44
Addition and Subtraction of Small Numbers
8:39
Multiplication and Division of Small Numbers
6:20
Understanding Fractions, Improper Fractions, and Mixed Numbers
6:13
Large Whole Numbers: Place Values and Estimating
4:29
Decimals: Notation and Operations
4:21
Working With Percentages
3:36
Converting Between Fractions, Decimals, and Percentages
5:21
Addition and Subtraction of Large Numbers
5:57
The Distributive Property for Arithmetic
3:19
Multiplication of Large Numbers
6:28
Division of Large Numbers: Long Division
5:41
Negative Numbers
5:27
Understanding Exponents and Their Operations
8:42
Order of Arithmetic Operations: PEMDAS
4:22
Divisibility, Prime Numbers, and Prime Factorization
5:53
Least Common Multiple (LCM)
5:40
Greatest Common Factor (GCF)
4:46
Addition and Subtraction of Fractions
4:07
Multiplication and Division of Fractions
5:06
Analyzing Sets of Data: Range, Mean, Median, and Mode
5:46
Introduction to Algebra: Using Variables
4:04
Basic Number Properties for Algebra
5:16
Algebraic Equations and Their Solutions
4:52
Algebraic Equations With Variables on Both Sides
6:46
Algebraic Word Problems
5:38
Solving Algebraic Inequalities
5:43
Square Roots, Cube Roots, and Other Roots
9:02
Simplifying Expressions With Roots and Exponents
8:23
Solving Algebraic Equations With Roots and Exponents
5:46
Introduction to Polynomials
5:13
Adding and Subtracting Polynomials
5:32
Multiplying Binomials by the FOIL Method
6:25
Solving Quadratics by Factoring
9:37
Solving Quadratics by Completing the Square
7:32
Solving Quadratics by Using the Quadratic Formula
6:55
Solving Higher-Degree Polynomials by Synthetic Division and the Rational Roots Test
9:22
Manipulating Rational Expressions: Simplification and Operations
9:30
Graphing in Algebra: Ordered Pairs and the Coordinate Plane
6:56
Graphing Lines in Algebra: Understanding Slopes and Y-Intercepts
6:52
Graphing Lines in Slope-Intercept Form (y = mx + b)
5:06
Graphing Lines in Standard Form (ax + by = c)
5:33
Graphing Parallel and Perpendicular Lines
4:47
Solving Systems of Two Equations and Two Unknowns: Graphing, Substitution, and Elimination
10:20
Absolute Values: Defining, Calculating, and Graphing
5:10
What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
9:00
Introduction to Geometry: Ancient Greece and the Pythagoreans
4:00
Basic Euclidean Geometry: Points, Lines, and Planes
4:19
Types of Angles and Angle Relationships
7:24
Types of Triangles in Euclidean Geometry
5:25
Proving Triangle Congruence and Similarity
5:08
Special Lines in Triangles: Bisectors, Medians, and Altitudes
6:20
The Triangle Midsegment Theorem
3:08
The Pythagorean Theorem
5:02
Types of Quadrilaterals and Other Polygons
6:17
Calculating the Perimeter of Polygons
5:08
Circles: Radius, Diameter, Chords, Circumference, and Sectors
4:58
Calculating the Area of Shapes
6:39
Proving the Pythagorean Theorem
3:34
Three-Dimensional Shapes Part 1: Types, Calculating Surface Area
7:32
Three-Dimensional Shapes Part 2: Calculating Volume
6:17
Back to Algebra: What are Functions?
7:23
Manipulating Functions Algebraically and Evaluating Composite Functions
5:29
Graphing Algebraic Functions: Domain and Range, Maxima and Minima
5:54
Transforming Algebraic Functions: Shifting, Stretching, and Reflecting
7:52
Continuous, Discontinuous, and Piecewise Functions
5:18
Inverse Functions
6:29
The Distance Formula: Finding the Distance Between Two Points
3:38
Graphing Conic Sections Part 1: Circles
7:46
Graphing Conic Sections Part 2: Ellipses
6:33
Graphing Conic Sections Part 3: Parabolas in Standard Form
8:30
Graphing Conic Sections Part 4: Hyperbolas
5:57
Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros
9:15
Graphing Rational Functions and Their Asymptotes
7:24
Solving and Graphing Polynomial and Rational Inequalities
7:34
Evaluating and Graphing Exponential Functions
5:59
Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions
8:10
Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property
6:26
Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions
7:06
Solving Exponential and Logarithmic Equations
7:08
Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem
8:35
Set Theory: Types of Sets, Unions and Intersections
6:22
Sequences, Factorials, and Summation Notation
11:12
Theoretical Probability, Permutations and Combinations
15:52
Introduction to Trigonometry: Angles and Radians
6:27
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
7:18
The Easiest Way to Memorize the Trigonometric Unit Circle
9:48
Basic Trigonometric Identities: Pythagorean Identities and Cofunction Identities
5:25
Graphing Trigonometric Functions
11:40
Inverse Trigonometric Functions
6:54
Verifying Trigonometric Identities
9:14
Formulas for Trigonometric Functions: Sum/Difference, Double/Half-Angle, Prod-to-Sum/Sum-to-Prod
9:29
Solving Trigonometric Equations
8:28
The Law of Sines
5:14
The Law of Cosines
4:38
Polar Coordinates and Graphing Polar Equations
10:46
Parametric Equations
4:36
Introduction to Calculus: The Greeks, Newton, and Leibniz
8:40
Understanding Differentiation Part 1: The Slope of a Tangent Line
5:29
Understanding Differentiation Part 2: Rates of Change
5:31