Differential Calculus Courses and Certifications

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

Math at Andrews;  Andrews University

Evaluating Limits

Introduces calculus limits through one-sided limits, asymptotes, limit laws, the squeeze theorem, and continuity.

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

Math at Andrews

Applications of Differentiation

Applies derivatives to analyze function behavior and solve optimization and related-rates problems.

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

Eddie Woo

Applications of Differentiation

Apply derivatives to analyze motion, classify stationary and inflection points, sketch curves, and solve maximization and minimization problems.

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

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Critical Numbers and Absolute Extremes

Explore critical numbers and absolute extrema in various mathematical functions, enhancing problem-solving skills for calculus and optimization challenges.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

blackpenredpen

L'Hospital's Rule - Calculus

Solve indeterminate limits using L'Hospital's Rule, with examples involving logarithmic, exponential, trigonometric, and power functions.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Calculus 1 Limits

Learn to evaluate and analyze limits using substitution, factoring, trigonometric functions, limit laws, the squeeze theorem, one-sided limits, and continuity.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Sean Fitzpatrick

APEX Calculus - Limits

Develops the theory and techniques of limits, including continuity, one-sided and infinite limits, asymptotes, difference quotients, and the Intermediate Value Theorem.

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

Sean Fitzpatrick

APEX Calculus - Applications of the Derivative

Apply derivatives to related rates, optimization, differentials, and Taylor polynomial approximations.

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

Tyler Wallace

Calculus I

A foundational introduction to limits, derivatives, and their applications, including related rates, optimization, graph analysis, and Newton’s method.

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

Transcendental Functions

Explore logarithmic and exponential functions through proofs, derivatives, integrals, inverse functions, properties, and worked examples.

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

4.- El Cálculo - Otros Modelos

210 ratings at Coursera

Reinterpreta modelos con radicales y exponentes mediante derivadas, gráficas y estrategias de optimización, apoyándose en tecnología digital.

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

Insights into Mathematics

The Differential Calculus for Curves - Differential Geometry

Study differential calculus for algebraic curves through tangent lines, tangent conics, and elliptic, parabolic, and hyperbolic points.

• YouTube
• 48 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

Bases Matemáticas: Derivadas

Refuerza el cálculo diferencial mediante el estudio de funciones, derivadas y técnicas de optimización con máximos y mínimos.

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