Math Fundamentals Courses and Certifications

Krista King

Sequences and Series - Complete Course with Convergence Tests and Power Series

Learn to analyze sequences and series through convergence tests, power series, and Taylor and Maclaurin expansions.

• YouTube
• 8 hours 8 minutes
• Self-Paced
• Free Video

Krista King

Applications of Derivatives - Optimization, Graph Sketching, Linear Approximation, Related Rates, and Physics Applications

Use derivatives to solve optimization problems involving geometric dimensions, from boxes and cylinders to shapes inscribed in other figures.

• YouTube
• 7 hours 42 minutes
• Self-Paced
• Free Video

Krista King

Derivatives - Complete Course on Differentiation Rules and Applications

Learn to differentiate functions using standard rules, including combinations of the chain rule with product, quotient, and trigonometric functions.

• YouTube
• 4 hours 1 minute
• Self-Paced
• Free Video

Krista King

Precalculus - Functions, Inverse Trigonometry, Polar Coordinates, and Complex Numbers

Explore function behavior through domains, ranges, transformations, and inverses, with topics extending to polar curves and complex numbers.

• YouTube
• 3 hours 11 minutes
• Self-Paced
• Free Video

Math with Mr. J

Area and Perimeter - Complete Guide to Finding Measurements of Shapes

Step-by-step methods for finding area and perimeter, including composite shapes, shaded regions, and missing side lengths.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Math with Mr. J

A Quick Review of Integers - Adding, Subtracting, Multiplying, and Dividing

A focused review of integer operations explains how positive and negative numbers combine across addition, subtraction, multiplication, and division.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

Math with Mr. J

Introduction to Integers - Operations and Number Line Concepts

Learn to locate, compare, order, and calculate with positive and negative integers using number lines and the four basic operations.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Math with Mr. J

Algebraic Expressions - Evaluating, Simplifying, and Properties

Step-by-step lessons show how to evaluate and simplify algebraic expressions using properties, the distributive property, and like terms.

• YouTube
• 5 hours 42 minutes
• Self-Paced
• Free Video

Math with Mr. J

Coordinate Plane - X-Axis, Y-Axis, Quadrants, and Plotting Points

Learn to plot points, read coordinates, and identify quadrants on the coordinate plane.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Math with Mr. J

PEMDAS - Order of Operations in Mathematics

Learn why order of operations matters and apply PEMDAS to expressions with grouping symbols, exponents, fractions, and integers.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Michael Penn

Interesting Integrals

Explore clever techniques for evaluating unusual integrals, from logarithmic-trigonometric expressions to the Gaussian integral.

• YouTube
• 17 hours 43 minutes
• Self-Paced
• Free Video

MySecretMathTutor

Comprehensive Trigonometry Course - Functions, Identities, and Applications

See trigonometry through geometric rotation, from coterminal angles and radians to angular speed and gears.

• YouTube
• 5 hours 28 minutes
• Self-Paced
• Free Video

MySecretMathTutor

The Rules of Derivatives

Learn a quick toolkit for differentiating functions, including the power, product, chain, and quotient rules and derivatives of inverse trigonometric functions.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

MySecretMathTutor

Pre-Calculus - Functions

Learn how to analyze functions through their graphs, including their domains, ranges, continuity, symmetry, and transformations.

• YouTube
• 2 hours 30 minutes
• Self-Paced
• Free Video

MySecretMathTutor

Limits of Functions - Average Rate of Change and Limit Laws

Learn how to estimate and evaluate function limits, from limit laws and the squeeze theorem to the precise epsilon-delta definition.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video