Math Fundamentals Courses and Certifications

The Organic Chemistry Tutor

Arithmetic Sequences and Arithmetic Series - Basic Introduction

Learn to find nth terms and sums of arithmetic sequences and distinguish finite sequences from infinite series.

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

The Organic Chemistry Tutor

Understand Calculus

Understand calculus fundamentals through limits, derivatives, tangent-line slopes, and basic integration.

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

The Organic Chemistry Tutor

Introduction to Geometry

An introductory geometry tutorial covering angle relationships, parallel and perpendicular lines, triangle congruence, and two-column proofs.

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

The Organic Chemistry Tutor

How to Convert Decimal to Hexadecimal

Learn to convert decimal numbers to hexadecimal using a calculator, with worked examples including 894, 3284, 7950, and 14259.

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

The Organic Chemistry Tutor

Summation Formulas and Sigma Notation - Calculus

Learn sigma notation and use summation formulas for constants, i, i², and i³ through worked examples and practice problems.

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

The Organic Chemistry Tutor

Concavity, Inflection Points, Increasing Decreasing, First and Second Derivative - Calculus

Use first and second derivative tests to analyze a function’s increasing/decreasing behavior, local extrema, concavity, and inflection points.

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

The Organic Chemistry Tutor

Graphing Quadratic Functions in Vertex and Standard Form - Axis of Symmetry - Word Problems

Graph quadratic functions in standard and vertex form using transformations, symmetry, and projectile-motion applications.

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

The Organic Chemistry Tutor

Logarithms Explained - Rules & Properties, Condense, Expand, Graphing & Solving Equations Introduction

Learn to evaluate, simplify, graph, and solve logarithmic expressions and equations using logarithm properties.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

How to Learn Basic Arithmetic Fast - Online Tutorial Lessons

Practice-based basic arithmetic tutorial with worked examples and quizzes covering addition, multiplication, division, and fractions.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Factoring Polynomials - By GCF, AC Method, Grouping, Substitution, Sum & Difference of Cubes

Learn to factor polynomials using GCF, identities, the AC method, substitution, grouping, synthetic division, completing the square, and complex-number techniques.

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

The Organic Chemistry Tutor

Limits and Continuity

Multiple-choice practice on evaluating limits, horizontal asymptotes, continuity, and the Intermediate Value Theorem.

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

3Blue1Brown

Taylor Series

See how Taylor series turn derivative information at one point into polynomial approximations of functions, with examples involving cosine, e^x, and convergence.

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

3Blue1Brown

Integration and the Fundamental Theorem of Calculus

An intuitive, visual explanation of why integrals measure signed area and reverse differentiation, using a moving car’s velocity to motivate the fundamental theorem of calculus.

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

Eddie Woo

Working with Functions - Comprehensive Course on Domain, Range, Notation, and Graph Transformations

Explore how function behavior emerges from notation, domain and range, symmetry, and graph transformations.

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

Academic Lesson

Trigonometry Full Course for Beginners

A beginner-friendly trigonometry course progressing from triangle relationships to graphs, identities, equations, modeling, and polar forms.

• YouTube
• 9 hours 48 minutes
• Self-Paced
• Free Video