Calculus Courses and Certifications

Michael Penn

Can You Evaluate This Limit?

A focused walkthrough of evaluating a limit.

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

Michael Penn

The Craziest Limit Technique I Have Seen

A brief exploration of an unusual technique for evaluating mathematical limits.

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

The Organic Chemistry Tutor

Rectilinear Motion - Finding the Velocity and Total Distance Given the Particle Position Function

Work from a particle’s position function to calculate its velocity and total distance in rectilinear motion.

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

Professor Leonard

Calculus 1 - Finding Area Between Two Curves

1 rating

Learn to find the area enclosed between two curves using techniques from Calculus 1.

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

Cálculo Diferencial e Integral unidos por el Teorema Fundamental del Cálculo

726 ratings at Coursera

Relaciona derivada e integral desde el inicio mediante el Teorema Fundamental del Cálculo para predecir magnitudes cambiantes.

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

NPTEL;  IIT Kharagpur

Integral and Vector Calculus

Explore Riemann and multiple integration alongside vector fields and Green’s, Gauss’s, and Stokes’ theorems.

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

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 of Polar Equations

Learn to calculate areas bounded by a polar curve and areas between two polar curves.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Approximation of Functions by Taylor Polynomials

Explore how Taylor polynomials approximate functions in a Calculus 2 lecture.

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

Professor Leonard

Calculus 2 - Representation of Functions by Taylor Series and Maclaurin Series

Represents functions using Taylor and Maclaurin series.

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

Professor Leonard

Calculus 2 - Power Series, Calculus of Power Series, Ratio Test for Interval of Convergence

Learn power series, their calculus, and how to use the ratio test to determine intervals of convergence.

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

Professor Leonard

Calculus 2 - Absolute Convergence, Ratio Test and Root Test for Series

Learn to determine absolute convergence of series using the Ratio Test and Root Test.

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

Professor Leonard

Calculus 2 - Showing Convergence With the Alternating Series Test, Finding Error of Sums

Learn to use the Alternating Series Test to establish convergence and estimate the error in approximating series sums.

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

Professor Leonard

Calculus 2 - The Comparison Test for Series and The Limit Comparison Test

Learn to use the Comparison Test and Limit Comparison Test to determine whether infinite series converge.

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

Professor Leonard

Calculus 2 - Using the Integral Test for Convergence-Divergence of Series, P-Series

Learn to use the Integral Test and P-Series to determine whether infinite series converge or diverge.

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