Calculus is a branch of mathematics that focuses on finding the properties of derivatives and integrals of functions, based on the summation of infinitesimal differences. In simpler terms, it is the study of rates of change-. There are two main types of calculus, namely differential calculus and integral calculus. There are plenty of online and free courses on Calculus that are accessible online at the simple touch of a button and at your own time at the simple touch of a button and at your own time and schedule.

Fundamental Theorem of Integral Calculus

This is a 3 module course by Alison that teaches the process of estimating using the Riemann sums and trapezoidal methods. This course is tailored for those who want to develop their skills in exploring definite integrals and reconfiguring the integral using natural exponential functions.

Engineering Calculus Simplified (Derivatives)

This is a free course offered by Alison that can teach you how to measure changes in physical processes among other things. By the end of the course, Students will know how to use derivatives to find any function’s instantaneous rates of change.

Calculus Applied!

This is a 10-week course offered on edX that you can take at your own pace. The course is offered free of charge but with\an\optional upgrade to\access other features and modules. Here students will learn a variety of topics such as rates of change, integrals, differential equation models, functions, and how they are used by industry professionals in their various fields.

Engineering Calculus and Differential Equations

This is a 6-week course on edX which offers a free track but with optional upgrades. In this course, students can expect to learn the fundamentals of single-variable calculus, ordinary differential equations, and how they can \e best applied in applications in engineering. This is a 6-week, self-paced course.

Pre-University Calculus

This is a course designed for students starting a new journey at university. It focuses on functions, equations, differentiation, integration, and analytic geometry, among other things, to prepare students for university calculus. It is an 8-week, self-paced, free course.

Introduction to Calculus

This is a 10-hour introductory calculus course designed with beginners in mind. You will learn how to work with functions and limits, solve problems using derivatives, use indefinite and definite integrals, and so much more.

Single Variable Calculus

This is a free YouTube course by MIT Open Courseware and taught by experts in the field. Students can expect to learn Derivatives, slope, velocity, rate of change, and more in calculus. 

Differential Calculus

This is a 4 week, self-paced free course offered on edX where students can learn and discover various concepts and techniques relating to differentiation and how these can be applied to solve real-world problems, and how to use differentiation to solve problems in basic motion, mechanics, and optimization, and more.

Precalculus: the Mathematics of Numbers, Functions, and Equations

This course can be accessed through class central and offers a free audit track with an optional upgrade available.  The course is designed for students who want to improve their basic mathematical skills or those who intend to take a course in calculus. You will gain the fundamental mathematical skills required for various applications.  

Single Variable Calculus

This is a course offered by the University of Pennsylvania via Coursera. It is a 5-week long course that offers a free audit track. Topics you can expect to cover include Introduction to Numerical Methods, Series and Convergence Tests, Power and Taylor Series, Concluding Single Variable Calculus, and more.

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