Differential Calculus Courses and Certifications

Calculus: Single Variable Part 1 - Functions

8 ratings

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat.

• Coursera
• 14 hours
• Self-Paced
• Paid Course

Professor Leonard

Calculus 1 - Related Rates

Explore related rates in calculus, learning to analyze how different variables change in relation to each other over time. Enhance problem-solving skills for real-world applications.

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

Krista King

Calculus III - Multivariable Calculus, Vector Analysis, and Differential Equations

Master multivariable calculus, vectors, and differential equations through comprehensive coverage of partial derivatives, multiple integrals, 3D geometry, and solution techniques.

• YouTube
• 1 day 6 hours 43 minutes
• Self-Paced
• Free Video

Dr. Gajendra Purohit

Differential Calculus for B.Sc. and Engineering Students

Comprehensive coverage of differential calculus topics for BSc and engineering students, including asymptotes, curve tracing, maxima and minima, partial differentiation, and infinite series.

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

Introduction to Calculus

6 ratings

Explore key calculus concepts, from precalculus foundations to derivatives and integrals. Develop problem-solving skills applicable to science, engineering, and commerce.

• Coursera
• 2 days 11 hours 24 minutes
• Self-Paced
• Paid Course

Calculus for Engineers

10 ratings

Master university-level calculus tailored for engineers, covering precalculus, derivatives, integrals, Taylor series, and practical applications through concise videos and practice problems.

• Coursera
• 1 day 7 hours 23 minutes
• Self-Paced
• Paid Course

Michael Penn

Real Analysis - L'Hospital's Rule - Infinity-Infinity Case

Rigorous proof of L'Hospital's rule for infinity/infinity case, demonstrating its application in calculating limits of indeterminate forms in real analysis.

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

Insights into Mathematics

Dual Complex Numbers and Leibniz's Differentiation Rules - Famous Math Problems

Explore algebraic infinitesimals, dual complex numbers, and Leibniz's differentiation rules in this advanced mathematics lecture, extending calculus to general and finite fields.

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

Multivariable Differential Calculus and Ordinary Differential Equations

Master multivariable differential calculus and ODEs, covering linear algebra, manifolds, gradient descent, backpropagation, and linear systems—ideal for math, CS, physics, and engineering students.

• Swayam
• Self-Paced
• Free Online Course

Jeremy Klassen

Math 31 Related Rates Problems

Master related rates through 27 comprehensive problem-solving examples, building skills to tackle complex calculus applications involving changing quantities and their relationships.

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

Applied Algebraic Topology Network

Catastrophe Theory

Explore catastrophe theory, covering critical points, germs, classification theorems, unfoldings, and elementary catastrophes. Visualize concepts and discover applications in chemistry.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

L'Hospital's Rule - Lecture 5

Master L'Hospital's Rule for solving indeterminate forms in calculus, enhancing your problem-solving skills in limits and derivatives.

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

Brian McLogan

Asymptotes with Rational Expressions - 10 Examples

Master asymptotes in rational expressions through 10 detailed examples, enhancing your understanding of this crucial mathematical concept with clear, step-by-step explanations.

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

NPTEL-NOC IITM

Directional Derivative, Hessian, and Mean Value Theorem

Explore multivariate differentiation concepts including directional derivatives, Hessian matrices, quadratic forms, and the mean value theorem.

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

Insights into Mathematics

The Differential Calculus for Curves - Lagrange's Algebraic Approach - Lecture 4

Explore Lagrange's algebraic approach to differential calculus, focusing on polynomial functions and Taylor approximations. Learn about tangent lines, conics, and sub-derivatives without limits or real numbers.

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