If you’ve ever had problems mastering some subjects or entire courses, having an online tutorial is one of the ways of making the burden easier. This piece is not about the advantages of online learning, but you stand to gain a lot by subscribing to online lessons.
You can learn at your convenience, learn at your pace, learn from home, and interact with a wide range of participants. You can also go over lessons repeatedly and reach out to tutors for guidance.
Calculus is at the very foundation of several aspects of mathematics and engineering.
Its application is critical in several fields, including computer programming, hardware development, civil engineering, electricity, mechanics, machine design, statistics, economics, medicine, and research.
Without getting calculus right, you may not understand the most fundamental concepts in these fields and may be unable to build your skills.
That is why calculus courses are among the most popular on many online learning platforms. Many students and learners who have had problems understanding calculus concepts have been able to master the subject after taking a few lessons.
We’ll look at Calculus as a subject, talk about the different types, and explore the most popular and effective online calculus courses for those that need to improve their math skills.
But first, a brief overview.
What is Calculus?
Calculus involves the study of rates of change. Since no object is at a perfect state of rest, calculus helps determine the change in the movement of particles and matter per time.
There are two broad branches of Calculus, and they are:
While differential calculus studies the rapid rate of change of a quantity, like curves and slopes, and looks at this change concerning their variables, integral calculus calculates the amount after knowing the rate of change; that is, it figures out quantities like volumes, lengths, and areas of space under study.
Both integral and differential Calculus are therefore related to each other.
By looking at online calculus courses, we will consider the basics of calculus and the advanced ones. We will explore how to apply them, the aspects of calculus it covers, and how much it costs.
Some are a combination of several courses, while others are specific courses we have to mention.
Here we go.
#1 College Courses & Certificates in Calculus (Coursera)
This Coursera Calculus set of courses contains a series of programs designed to help you develop your math skills in Calculus.
Topics treated range from the very elementary such as single variable functions, differentiation, integration, and precalculus trigonometry.
This course is excellent because it works regardless of your level of proficiency in calculus. The course has several options for users who want to learn more topics that are advanced and even applied calculus.
Designed to help you in videos and tutorials in the best way Coursera can, College Courses & Certificates in Calculus is a top choice for beginners and professionals alike, especially for those who need to use Calculus in the field.
The courses are self-paced, and you can learn and conclude at your convenience. They contain numerous practice problems that will help you understand Calculus better.
How to apply
To apply for these courses, you must sign up on Coursera and register for the course(s). You can register for it here.
You can register for most of these courses free of charge, and in cases where you have to pay, there are different levels of financial assistance available.
These courses have flexible deadlines so that you are not pressured to conclude, and the lectures are interactive.
Also, for those who see calculus as an abstract subject, the lessons are presented in interesting, vivid formats to break them down quickly.
Finally, you get a badge once you complete the assessments and quizzes. When things get tough, you are assured of continuous support from instructors.
#2 Become a Calculus 1 Master (Udemy)
As its name suggests, this course helps everyone who wants to master the subject of calculus via several online classes treating topics such as functions, limits and continuity, and derivatives.
Each lesson also comes with quizzes that aid learning and helps you with practical questions that can improve your understanding of the subject.
Udemy divides calculus into different modules, and Calculus 1 is the first.
At the end of the course, you should have mastered how to solve every kind of limit problem, how to find discontinuities in a function; all of the derivative rules, the infamous chain rule, and be able to do implicit differentiation; as well as having a thorough understanding of optimization and related rates.
The course includes twelve and a half hours of on-demand videos, 119 articles, and 198 downloadable resources. You also have access to full lifetime access, also available on mobile and TV, as well as a Certificate of completion.
How to apply
If you’re interested in this course, you can sign up on Udemy and register for the course.
This course is not free and offers a certificate of completion. However, it is very affordable, going for as low as $50.
The course is very affordable. Also, it contains a series of practice assignments and quizzes that helps in understanding and simplifying the answers to some of the questions.
Since this is the first part of the series, it contains all the basics, so you don’t need to have a prior understanding of calculus. Udemy allows you lifetime access to these resources once you register for it.
#3 University Calculus Courses Online (edX)
This free online set of calculus course is set to revolutionize your performance in math both at school and at work. With precalculus, calculus, and more courses, you are set to learn much more than you bargained for.
These courses aggregate the top courses in calculus from the best universities globally, and you can choose from the many calculus lessons.
Edx offers basic and advanced programs designed to help you learn calculus in an engaging and effective online learning environment and come with interactive videos and quizzes aimed at improving your understanding.
On completion, you can earn a verified certificate from edX and the university. Many courses are self-paced so that you can learn at your convenience.
How to apply
To apply for edX University Calculus Courses online, enroll at edX, select Calculus Courses, pick any of the courses, and learn.
Most courses at University Calculus Courses Online (edX) are free at the primary, limited level. You can pay for fuller access and certifications.
edX allows you to learn at your own pace and breaks the lessons into manageable ones. You also have assignments that help you understand the course concept better.
It has both basic and advanced programs, ideal for beginners and professionals, and practical lessons, quizzes, and more that help you learn better. As said earlier, the course materials are free, although you may pay a token for the certificate.
#4 Calculus Class (Khan Academy)
Khan Academy offers lectures in these calculus classes divided into sections beginning from the basics to the applications.
Topics treated include limits and continuity, definitions and basic and chain rules of derivatives, analyzing functions, integrals, continuity over an interval, product rule, function analysis, optimization problems, differential equations, and applications of integrals.
Khan Academy also allows you to test the knowledge of your skills in this course with a course challenge. These self-paced lessons are presented in concise lessons that will help you to understand the concepts more readily.
How to apply
Applying for the program is easy. All you have to do is enroll in Khan Academy and register for any courses. Enroll here.
Most of the courses are free of charge.
The lessons are presented in videos that offer guides through topics from the very beginning to the advanced topics. You are also trained to learn the essential formulas in concise lessons.
This course also allows you to practice problems from each section and understand the issues better.
#5 Become a Calculus 2 Master (Udemy)
This course is excellent for those who have completed Calculus 1 and want to improve further or for homeschooling parents who need to handle the course better. If you enjoy learning calculus, you won’t regret this course either.
If you’ve gained anything from becoming a Calculus Master 1, then the second course is worth checking out. With great classes on subjects such as Integrals, applications of integrals, Polar & Parametric curves, and Sequences & Series.
You will learn the fundamental theorem of calculus, volume of revolution, integration techniques, and several real-world applications.
You’ll also be able to sketch polar curves and find the area bounded by polar curves. At the end of the course, you’ll be able to apply Taylor and Maclaurin series.
With over 30 hours of on-demand video and 194 articles, and 375 downloadable resources, just like the first part of this course, you can access Full lifetime access even on mobile and TV, as well as a Certificate of completion of the program.
How to apply
The application for the program is straightforward. You are expected to take the first Calculus 1 course (limits and derivatives).
However, you must have a foundation in Algebra, Trigonometry, and Precalculus. Once you’ve fulfilled the requirements, you can easily apply here.
Just like Calculus 1, this course is very affordable and costs only about $45.
This course allows you to access videos, notes, quizzes, and workbooks. You get lifetime access to Become a Calculus 2 Master and friendly support in the Q & A section.
You will also be able to download the Udemy Certificate of Completion. Finally, you have a 30-day money-back guarantee.
#6 Introduction to Calculus by the University of Sydney (Coursera)
This course, offered by the University of Sydney, highlights the historical motivation for calculus, looks at the theory without ignoring the application of calculus, and deals with all the subject’s key concepts.
You’ll learn topics like precalculus, Functions, Properties, applications of the derivative, and much more. All courses are packaged in different interactive videos, readings, and quizzes.
The course features flexible deadlines, which can be reset to fit your schedule and convenience, and offers a certificate of completion.
You’ll need to spend at least 59 hours to complete this course and earn a certificate on completion. This course is handled by experts at the University of Sydney and is available on Coursera’s platform with all the benefits that come with it.
How to apply
You can apply for this program by enrolling on the Coursera platform for this course and registering for free here.
You can register to take this course at no cost.
You can develop proficiency and fluency with this course. This course also provides flexibility allowing you to learn at your own pace and convenience.
You also have access to graded assignments, quizzes, and assessments to earn the course completion badge from the University of Sydney.
#7 Introduction to Differential Equations (edX)
This course is the very basics of differential equations. With this introductory course, you can learn how to develop the mathematical tools and graphic methods needed to handle all types of linear and nonlinear differential equations.
There are five modules in the series. After taking the courses, you’ll learn how to use linear differential equations to model physical systems, solve linear differential equations with constant coefficients, and use qualitative methods to understand solutions to nonlinear differential equations.
This course is handled by professors at the Massachusetts Institute of Technology and can be taken from anywhere in the world.
How to apply
To apply, you need to visit edX, enroll and register. You can do that here.
To enroll for this course, you’ll need to pay $100. However, you can register for free for limited access to course materials.
You have unlimited access to course materials with this course and access to professors from the very best universities globally. You have graded assessments and examinations and, upon completion, can access recognized certificates.
We have reviewed the seven best places to learn great calculus courses. Some of them are a combination of different calculus courses where you can get to pick any course of your choice for free or for a fee.
Others are specific courses with requirements needed to pass them. If your love for math is dwindling because you’re finding calculus a hard nut to crack, take any of these courses to rekindle your math skills and take on the world in a brave, new way!