Differential Calculus Courses and Certifications

Basic Math: Derivatives

Master differential calculus: work with functions and their properties, apply the chain rule and implicit differentiation, and solve optimization problems including constrained maxima and minima.

• Coursera
• 6 weeks, 3 hours a week
• Self-Paced
• Paid Course

Calculus 1A: Differentiation

Evaluate limits graphically and numerically, compute derivatives of any function, sketch curves by hand, make linear and quadratic approximations, and solve optimization and related rates problems.

• MITx Online
• 14 weeks, 8-10 hours/week
• Self-Paced
• Free Online Course

Krista King

Limits and Continuity

Master fundamental calculus concepts through comprehensive limit evaluation techniques, continuity analysis, and theorem applications including squeeze theorem and intermediate value theorem.

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

Professor Leonard

Calculus 1 - Properties of Limits - Techniques of Limit Computation

Learn the properties of limits and techniques for computing limits in this introductory Calculus 1 lecture.

• YouTube
• 3 hours
• 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

Limits and Continuity

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

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

Math Fundamentals: Derivatives

Basic course on functions and their derivatives, including their applications to problem solving.

• edX
• 5 weeks, 3-4 hours a week
• Self-Paced
• Free Online Course (Audit)

Derivatives

Explore derivatives visually as secant lines become tangents, then derive familiar differentiation rules from the limit definition instead of memorizing them.

• Brilliant
• Self-Paced
• Paid Course

Academic Lesson

Calculus for Beginners - Calculus for Machine Learning

An in-depth beginner course covering limits, derivatives, optimization, Newton’s method, and antiderivatives, with an emphasis on calculus concepts useful to machine learning.

• YouTube
• 10 hours 53 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Evaluating Limits of Indeterminate Forms

Evaluating limits of indeterminate forms in a Calculus 2 lecture.

• YouTube
• 1 hour 41 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Optimization; Max/Min Application Problems

Applies Calculus 1 methods to maximum and minimum application problems.

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

Professor Leonard

Calculus 1 - How to Sketch Graphs of Functions

Learn how to sketch graphs of functions in this Calculus 1 lecture.

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

Professor Leonard

Calculus 1 - Limits of Functions at Infinity

A first-course calculus lecture on evaluating limits of functions as x approaches infinity.

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

Professor Leonard

Calculus 1 - The Second Derivative Test for Concavity of Functions

Learn how the second derivative test determines the concavity of functions in this Calculus 1 lecture.

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

Professor Leonard

Calculus 1 - The First Derivative Test for Increasing and Decreasing

Learn how the first derivative test determines where functions increase and decrease.

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