Mathematics (All Of It)
Stop hating math! Learn math with Professor Dave and you'll love it as much as ice cream. In this series we go from arithmetic all the way to differential equations, so no matter what your level of ability, there's something here for you. See if you can watch them all!
Curated by: Professor Dave Explains (193 videos)
Tracks in this Playlist
- Introduction to Mathematics
- Addition and Subtraction of Small Numbers
- Multiplication and Division of Small Numbers
- Understanding Fractions, Improper Fractions, and Mixed Numbers
- Large Whole Numbers: Place Values and Estimating
- Decimals: Notation and Operations
- Working With Percentages
- Converting Between Fractions, Decimals, and Percentages
- Addition and Subtraction of Large Numbers
- The Distributive Property for Arithmetic
- Multiplication of Large Numbers
- Division of Large Numbers: Long Division
- Negative Numbers
- Understanding Exponents and Their Operations
- Order of Arithmetic Operations: PEMDAS
- Divisibility, Prime Numbers, and Prime Factorization
- Least Common Multiple (LCM)
- Greatest Common Factor (GCF)
- Addition and Subtraction of Fractions
- Multiplication and Division of Fractions
- Analyzing Sets of Data: Range, Mean, Median, and Mode
- Introduction to Algebra: Using Variables
- Basic Number Properties for Algebra
- Algebraic Equations and Their Solutions
- Algebraic Equations With Variables on Both Sides
- Algebraic Word Problems
- Solving Algebraic Inequalities
- Square Roots, Cube Roots, and Other Roots
- Simplifying Expressions With Roots and Exponents
- Solving Algebraic Equations With Roots and Exponents
- Introduction to Polynomials
- Adding and Subtracting Polynomials
- Multiplying Binomials by the FOIL Method
- Solving Quadratics by Factoring
- Solving Quadratics by Completing the Square
- Solving Quadratics by Using the Quadratic Formula
- Solving Higher-Degree Polynomials by Synthetic Division and the Rational Roots Test
- Manipulating Rational Expressions: Simplification and Operations
- Graphing in Algebra: Ordered Pairs and the Coordinate Plane
- Graphing Lines in Algebra: Understanding Slopes and Y-Intercepts
- Graphing Lines in Slope-Intercept Form (y = mx + b)
- Graphing Lines in Standard Form (ax + by = c)
- Graphing Parallel and Perpendicular Lines
- Solving Systems of Two Equations and Two Unknowns: Graphing, Substitution, and Elimination
- Absolute Values: Defining, Calculating, and Graphing
- What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
- Introduction to Geometry: Ancient Greece and the Pythagoreans
- Basic Euclidean Geometry: Points, Lines, and Planes
- Types of Angles and Angle Relationships
- Types of Triangles in Euclidean Geometry
- Proving Triangle Congruence and Similarity
- Special Lines in Triangles: Bisectors, Medians, and Altitudes
- The Triangle Midsegment Theorem
- The Pythagorean Theorem
- Types of Quadrilaterals and Other Polygons
- Calculating the Perimeter of Polygons
- Circles: Radius, Diameter, Chords, Circumference, and Sectors
- Calculating the Area of Shapes
- Proving the Pythagorean Theorem
- Three-Dimensional Shapes Part 1: Types, Calculating Surface Area
- Three-Dimensional Shapes Part 2: Calculating Volume
- Back to Algebra: What are Functions?
- Manipulating Functions Algebraically and Evaluating Composite Functions
- Graphing Algebraic Functions: Domain and Range, Maxima and Minima
- Transforming Algebraic Functions: Shifting, Stretching, and Reflecting
- Continuous, Discontinuous, and Piecewise Functions
- Inverse Functions
- The Distance Formula: Finding the Distance Between Two Points
- Graphing Conic Sections Part 1: Circles
- Graphing Conic Sections Part 2: Ellipses
- Graphing Conic Sections Part 3: Parabolas in Standard Form
- Graphing Conic Sections Part 4: Hyperbolas
- Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros
- Graphing Rational Functions and Their Asymptotes
- Solving and Graphing Polynomial and Rational Inequalities
- Evaluating and Graphing Exponential Functions
- Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions
- Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property
- Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions
- Solving Exponential and Logarithmic Equations
- Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem
- Set Theory: Types of Sets, Unions and Intersections
- Sequences, Factorials, and Summation Notation
- Theoretical Probability, Permutations and Combinations
- Introduction to Trigonometry: Angles and Radians
- Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
- The Easiest Way to Memorize the Trigonometric Unit Circle
- Basic Trigonometric Identities: Pythagorean Identities and Cofunction Identities
- Graphing Trigonometric Functions
- Inverse Trigonometric Functions
- Verifying Trigonometric Identities
- Formulas for Trigonometric Functions: Sum/Difference, Double/Half-Angle, Prod-to-Sum/Sum-to-Prod
- Solving Trigonometric Equations
- The Law of Sines
- The Law of Cosines
- Polar Coordinates and Graphing Polar Equations
- Parametric Equations
- Introduction to Calculus: The Greeks, Newton, and Leibniz
- Understanding Differentiation Part 1: The Slope of a Tangent Line
- Understanding Differentiation Part 2: Rates of Change