Calculus Courses and Certifications

AP Calculus AB & BC: Homeschool Curriculum

Comprehensive AP Calculus preparation for homeschoolers, covering essential topics through video lessons and quizzes. Flexible curriculum designed to help students achieve high scores on both AB and BC exams.

• Study.com
• 18 hours
• Self-Paced
• Paid Course

Differential Calculus

Master the derivative concept, computation methods, and real-world applications in this comprehensive exploration of differential calculus.

• MITx Online
• 11 weeks, 6-10 hours/week
• Self-Paced
• Free Online Course

blackpenredpen

Ultimate Integral Starter - U-Substitution, Integration by Parts, Trig Sub, Partial Fractions & More

1 rating

Comprehensive guide to advanced integration techniques, covering u-substitution, integration by parts, trigonometric substitution, partial fractions, and more. Includes 50 example problems and personal anecdotes.

• YouTube
• 5 hours 57 minutes
• Self-Paced
• Free Video

Calculus: Single Variable

19 ratings

This course provides a brisk, challenging, and dynamic treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences.

• Coursera
• Not Currently Offered
• Paid Course

The Organic Chemistry Tutor

Derivatives for Beginners - Basic Introduction

Comprehensive introduction to calculus derivatives, covering key rules and functions. Ideal for beginners seeking a solid foundation in differentiation techniques and applications.

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

Krista King

How to Solve Partial Derivatives

Learn to calculate and interpret partial derivatives for multivariable functions, including first-order, second-order, and mixed partial derivatives, with clear explanations and examples.

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

The Organic Chemistry Tutor

Continuity and Differentiability

Explore continuity and differentiability in calculus, covering types of discontinuities, the 3-step continuity test, and analyzing piecewise functions through examples and visual representations.

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

The Organic Chemistry Tutor

Logarithmic Differentiation of Exponential Functions

Learn to differentiate complex exponential and logarithmic functions using logarithmic differentiation. Master techniques for solving challenging calculus problems with step-by-step examples and practice exercises.

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

The Organic Chemistry Tutor

Derivatives of Radical Functions

Learn to differentiate radical functions using power and chain rules, with examples for square and cube roots.

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

Numberphile

The Big Daddy of Infinite Integrals - Exploring the Gaussian Integral

Discover the Gaussian Integral, the most important infinite integral in mathematics, through expert exploration of its elegant proof and wide-ranging applications.

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

Michael Penn

Techniques of Integration

Master essential integration methods including substitution, parts, trigonometric substitution, and partial fractions through comprehensive worked examples.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Eddie Woo

Related Rates and Applications of Derivatives

Master calculus concepts through related rates, exponential growth/decay, and motion problems with practical applications like balloons, ladders, and shadows.

• YouTube
• 10 hours 37 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Convergence and Divergence of Sequences

Explore convergence and divergence of sequences in this comprehensive lecture, covering key concepts and techniques for analyzing infinite series in calculus.

• YouTube
• 2 hours 27 minutes
• Self-Paced
• Free Video

Math with Professor V

Sequences and Series - Complete Calculus and Precalculus Course

Master sequences and series fundamentals through comprehensive coverage of convergence tests, power series, Taylor polynomials, and practical problem-solving strategies.

• YouTube
• 1 day 6 hours 32 minutes
• Self-Paced
• Free Video

Krista King

AP Calculus AB - Complete Units Review

Master all essential AP Calculus AB concepts through comprehensive unit reviews covering limits, derivatives, and real-world applications in just over 4 hours.

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