Integral Calculus Courses and Certifications

Introduction to Calculus, Interactive Online Video Course: Wolfram U

Master calculus fundamentals through interactive videos, problem sessions, and quizzes. Covers functions, limits, derivatives, integrals, and differential equations. Ideal for AP Calculus AB exam preparation.

• Wolfram U
• 12 hours
• Self-Paced
• Free Certificate

blackpenredpen

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

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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

Professor Leonard

Calculus 1 - Finding Area Between Two Curves

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Learn to calculate the area between two curves using integration techniques, enhancing your understanding of calculus concepts and problem-solving skills.

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

Insights into Mathematics

Calculus - Math History - N J Wildberger

Explore the historical development of calculus, from ancient Greek origins to Newton and Leibniz's revolutionary work, covering key concepts and influential figures in mathematics.

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

Professor Dave Explains

Double and Triple Integrals

Explore double and triple integrals, building on single integral knowledge. Learn to set up integration bounds and choose variable order through rules and examples.

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

Professor Leonard

Calculus 3 - How to Change Variables in Multiple Integrals Using the Jacobian

Learn to use the Jacobian for variable changes in multiple integrals, including finding transformations and applying substitutions in advanced calculus problems.

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

Professor Leonard

Calculus 3 - Triple Integrals Over Regions with Cylindrical or Spherical Coordination

Explore triple integrals using cylindrical and spherical coordinates, with applications to center of mass and moments of inertia in advanced calculus.

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

Professor Leonard

Calculus 3 - How to Solve Triple Integrals - Along with Center of Mass and Volume

Comprehensive guide to solving triple integrals, exploring their applications in calculating mass, volume, and center of mass for 3D regions. Ideal for advanced calculus students seeking in-depth understanding.

• YouTube
• 3 hours 34 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3 - Double Integrals Over Polar Regions

Comprehensive exploration of double integrals in polar coordinates, covering translation from rectangular to polar forms and practical applications in calculus.

• YouTube
• 3 hours 25 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3 - How to Solve Double-Repeated-Iterated Integrals

Comprehensive guide to solving double integrals, covering construction techniques over various regions. Ideal for mastering advanced calculus concepts and enhancing problem-solving skills in multivariable integration.

• YouTube
• 3 hours 24 minutes
• Self-Paced
• Free Video

Professor Leonard

Introduction to Double Integrals - Background Info

Explore the origins, representations, and fundamental concepts of double integrals in this comprehensive introduction, laying the groundwork for advanced calculus applications.

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

Professor Leonard

Numerical Integration With Trapezoidal and Simpson's Rule

Learn to approximate definite integrals using the Trapezoidal and Simpson's Rules, powerful numerical methods for solving complex integration problems.

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

Professor Leonard

Calculus 1 - The Evaluation of Definite Integrals

Learn to evaluate definite integrals, a crucial concept in calculus. Master techniques for solving complex mathematical problems and enhance your problem-solving skills.

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

Khan Academy

Intuition for Second Part of Fundamental Theorem of Calculus - AP Calculus AB - Khan Academy

Gain intuition on the second part of the fundamental theorem of calculus, exploring its application in finding definite integrals using antiderivatives.

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

Mathologer

Why Is Calculus So Easy?

Demystifying calculus through intuitive explanations, visual aids, and practical examples. Covers differential and integral calculus, Leibniz notation, and key rules, making complex concepts accessible and engaging.

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