Fundamental Theorem of Calculus Courses and Certifications

Professor Leonard

Calculus 1 - The Fundamental Theorem of Calculus

Comprehensive exploration of the Fundamental Theorem of Calculus, connecting differentiation and integration concepts for a deeper understanding of calculus principles.

• YouTube
• 2 hours 46 minutes
• On-Demand
• Free Video

Michael Penn

Real Analysis - The Fundamental Theorem of Calculus

Comprehensive proof of both parts of the Fundamental Theorem of Calculus, demonstrating the relationship between differentiation and integration in real analysis.

• YouTube
• 23 minutes
• On-Demand
• Free Video

University of Huddersfield

Integral Calculus & The Fundamental Theorem

Master integral calculus fundamentals, integration techniques, and the theorem connecting differentiation with integration for real-world applications.

• Coursera
• 11 hours 18 minutes
• On-Demand
• Paid Course

Michael Penn

Discrete Calculus - My Favorite Topic for a Student Seminar Talk

Explore discrete calculus through derivatives, antiderivatives, and fundamental theorems. Learn power rules, exponential functions, and Fibonacci numbers in this engaging mathematical seminar.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Topos Institute

The Fundamental Theorem of Calculus: Point-Free Analysis

Explore point-free topology's innovative approach to calculus fundamentals through geometric logic, examining how spaces and continuity can be defined without traditional point-set methods.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Fundamental Theorem of Calculus - Lecture 19

Explore the essential connection between differentiation and integration through two versions of the fundamental theorem, plus improper integrals and unbounded functions.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Math with Professor V

The Fundamental Theorem of Calculus in Business Mathematics - Lesson 7.4

Master the Fundamental Theorem of Calculus through clear explanations and practical examples of definite integrals, including techniques for u-substitution and working with changing integration limits.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Dot Physics

The Fundamental Theorem of Calculus: Integrals as Anti-Derivatives

Explore the fundamental theorem of calculus through position and velocity, with interactive Python code demonstrations for derivatives and integrals.

• YouTube
• 20 minutes
• On-Demand
• Free Video

3Blue1Brown

Integration and the Fundamental Theorem of Calculus

Explore intuitive explanations of integrals and their relationship to derivatives, using animated visuals to demystify the fundamental theorem of calculus and its real-world applications.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Calculus through Data & Modelling: Series and Integration

57 ratings at Coursera

Explore sequences, series, and integration in calculus. Apply these concepts to analyze real-world data, model phenomena, and critique policies across various disciplines.

• Coursera
• 8 hours 50 minutes
• On-Demand
• Paid Course

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
• On-Demand
• Free Video

Master Calculus 1: Complete 2020 Basic-To-Advanced Course

123 ratings at Udemy

An 8-hour In-Person Lecture to Everything About Calculus 1. Master This University Level Course or Your Money Back!

• Udemy
• 10 hours 43 minutes
• On-Demand
• Paid Course

Calculus 2, part 1 of 2: Integrals with applications

66 ratings at Udemy

Integral calculus in one variable: theory and applications for computing area between curves, curve length, and volumes

• Udemy
• 2 days 8 hours 47 minutes
• On-Demand
• Paid Course

Single Variable Calculus

Comprehensive calculus course covering differentiation, integration, and infinite series. Includes lecture videos, problem-solving tips, worked examples, and interactive applets to reinforce key concepts in single variable calculus.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Krista King

Calculus II - Integrals, Applications, Polar and Parametric Equations, Sequences and Series

Master advanced integration techniques, series convergence, and polar coordinates through comprehensive problem-solving in this intensive mathematical journey.

• YouTube
• 1 day 8 hours 9 minutes
• On-Demand
• Free Video