# 9 Best Calculus Courses Online For Beginners in 2023

Calculus can seem daunting, but it is an essential field of mathematics. Learning Calculus can open up countless opportunities for students, from various career paths to a deeper understanding of the world around them. Calculus is essential for many STEM (science, technology, engineering, and mathematics) fields, and it can help students develop problem-solving skills and analytical thinking. Not only can Calculus help students understand more of the physical world around them, but it can also help them develop the critical thinking skills needed in other academic pursuits, such as economics and finance. Learning Calculus can be challenging, but the rewards are worth the effort.

Keeping this in mind, here at Coursesity, we have curated some of the Best Calculus Courses Online for beginners with certification. We hope that you will find the best course to learn how to solve complex real-world problems using Calculus.

## Top Calculus Courses Online List

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## 1. Become a Calculus 1 Master

This course will teach you everything you need to know about Calculus 1 and give you 600+ questions to practice your knowledge. You will learn Limits & Continuity, Derivatives, and Applications of Derivatives in this course.

In this Calculus course, you will learn the following:

• Limits & Continuity, including how to solve every kind of limit problem, and how to find discontinuities in a function.
• Derivatives, including all of the derivative rules, the infamous chain rule, and how to do implicit differentiation.
• Applications of Derivatives, including two of the hardest topics from Calc 1: optimization and related rates.

The course includes video and text explanations from Calculus 1, 76 quizzes (with solutions!), and 19 additional workbooks with additional practice problems to ensure you understand each topic. Current calculus students or students about to start calculus who are looking to get ahead will benefit from this calculus course online.

• Course rating: 4.8 out of 5.0 (9,656 rating total)
• Duration: 12h 46m
• Certificate: Certificate on completion

## 2. Introduction to Calculus

This course introduces students to the most important mathematical concepts so they can use them effectively in science, engineering, and commerce. While balancing theory and application, this course also emphasizes key mathematical ideas and historical motivation for calculus, leading to a mastery of key threshold concepts.

In this Calculus course, you will learn the following:

• Gain familiarity with key ideas of precalculus, including the manipulation of equations and elementary functions (first two weeks),
• Develop fluency with the preliminary methodology of tangents and limits and the definition of a derivative (third week),
• Develop and practice methods of differential calculus with applications (fourth week).
• Develop and practice methods of integral calculus (fifth week).

During the first two weeks, students will gain familiarity with key ideas of precalculus, including manipulating equations and elementary functions. In the third week, students will develop fluency with the preliminary methodology of tangents and limits and the definition of a derivative.

During the fourth week, students will develop and practice methods of differential calculus with applications. Finally, in the fifth week, students will develop and practice methods of integral calculus.

• Course rating: 4.8 out of 5.0 (3,234 rating total)
• Duration: 59h
• Certificate: Certificate on completion

## 3. Calculus 1A: Differentiation

How does the final velocity on a zip line change when the starting point is raised or lowered by a matter of centimeters? What is the accuracy of a GPS position measurement? How fast should an airplane travel to minimize fuel consumption? Derivatives play a key role in all of these questions.

In this Calculus course, you will learn the following:

• How to evaluate limits graphically and numerically.
• The physical meaning, and geometric interpretation of the derivative.
• To calculate the derivative of any function.
• To sketch many functions by hand.
• To make linear and quadratic approximations of functions.
• To apply derivatives to maximize and minimize functions and find related rates.

In this course, you will become familiar with the mathematical notation, physical definition, and geometric interpretation of the derivative and transition between them smoothly. Additionally, you will learn how to differentiate any function that comes to mind, as well as the ability to graph the various functions. Moreover, you'll determine the optimum cost, energy, and power for certain qualities by making linear and quadratic approximations.

• Duration: 13 weeks (6-10 hours per week)
• Certificate: Certificate on completion

This course is designed for business students to learn calculus for business easily with mnemonics (memory tricks). Unlike your college textbook/professor, this course explains concepts and problems in an easy-to-understand manner without being dense or boring.

In this Calculus course, you will learn the following:

• Find the derivative of any function confidently.
• Apply derivatives in a wide variety of applications.
• Find limits in a variety of common situations.
• Find the integrals of functions.

This course provides a comprehensive overview of the main topics typically covered in a business calculus class, such as functions and graphing, limits and continuity, derivatives, differentiation rules, applications of derivatives, exponential and logarithmic functions, and integrals. With this course, you can be assured that you will encounter the majority, if not all, of these topics as you progress through the semester.

• Course rating: 5.0 out of 5.0 (221 rating total)
• Duration: 23h 52m
• Certificate: Certificate on completion

## 5. Calculus: Single Variable Part 1 - Functions

Calculus is a magnificent feat of the human intellect, capable of elucidating the mysteries of planetary orbits, the optimal size of a city, and even the cyclic nature of a heartbeat. In this comprehensive course, you will understand the core ideas of single-variable Calculus with a particular focus on conceptual understanding and application.

In this Calculus course, you will learn the following topics:

• A Review of Functions
• Taylor Series
• Limits and Asymptotics

This course is an ideal starting point for students in the engineering, physical, and social sciences and features a unique synthesis of discrete and continuous forms of Calculus, an introduction, and use of the Taylor series and approximations from the outset, an emphasis on conceptual understanding over computation, and a clear, dynamic, unified approach.

• Course rating: 4.7 out of 5.0 (1,954 rating total)
• Duration: 14h
• Certificate: Certificate on completion

## 6. Pre-University Calculus

This course will prepare for introductory calculus courses by reviewing functions, equations, differentiation, integration, and analytic geometry. During this course, you will review five important mathematical subjects that you should know if you are going to take the Introductory Calculus course: functions, equations, differentiation, integration, and analytic geometry.

In this Calculus course, you will learn the following:

• Understand, visualize, and manipulate different elementary functions, like power functions, roots, polynomials, trigonometric functions, exponential and logarithmic functions;
• Understand, visualize, and solve equations and inequalities involving these elementary functions;
• Understand the concept of differentiation and calculate the derivatives of compositions of elementary functions;
• Understand the concept of integration and use some elementary integration techniques;
• Understand, visualize, and manipulate geometric objects in the plane, such as vectors, lines, circles, and more general curves.

This course will prepare you for your university calculus course. You will learn how to define terms and apply mathematical concepts, and solve mathematical problems using those concepts. The course will help you feel confident using basic mathematical techniques for your first calculus course at university, building on the mathematics you learned in high school.

• Course rating: 130,692 total enrollments
• Duration: 8 weeks (6-8 hours/week)
• Certificate: Certificate on completion

## 7. Master Calculus 1 using Python: Derivatives and Applications

This course will help you develop a deep understanding and intuition for calculus. You will learn to solve problems and implement algorithms by hand and in Python. Learning math will train your critical thinking and reasoning skills.

In this Calculus course, you will learn the following:

• Differential calculus
• Mathematical functions (rational, polynomial, transcendantal, trig)
• Limits and tricks for solving limits problems
• Differentiation rules
• Tips and tricks for differentiation
• Proofs
• Python (numpy and sympy)
• Numerical processing
• Applied calculus
• Visualizing math functions (matplotlib)

Translating formulas into code, implementing algorithms, and solving challenging coding exercises will help you gain a deep understanding of calculus concepts. With the graphics engine in Python, you can visualize equations and functions to understand why they behave the way they do. Furthermore, you'll learn the limits of computers in learning calculus and why you must still rely on your brain and newly acquired calculus skills.

• Course rating: 4.8 out of 5.0 (73 rating total)
• Duration: 41h 22m
• Certificate: Certificate on completion

## 8. Single Variable Calculus

This course is designed to help engineering, physical, and social science students gain a strong conceptual understanding of single-variable Calculus. It offers a unique synthesis of discrete and continuous calculus, allowing students to gain a deeper knowledge of the subject by translating formulas into code, implementing algorithms, and solving coding exercises.

In this Calculus course, you will learn the following:

• A Calculus for Sequences
• Introduction to Numerical Methods
• Series and Convergence Tests
• Power and Taylor Series
• Concluding Single Variable Calculus

Additionally, the course introduces and utilizes the Taylor series and approximations from the beginning, and its straightforward, unified approach emphasizes the conceptual over the computational. To supplement these features, the graphics engine in Python allows students to see equations and functions in a way that helps them understand why these functions behave the way they do.

Furthermore, the course also highlights the limits of computers for learning Calculus and encourages students to use their brains and freshly developed calculus skills to solve problems. In the fifth and final part of the course, we delve into calculus for sequences, numerical methods, and series and convergence tests, before moving on to power and Taylor series and concluding with a final exam.

• Course rating: 4.6 out of 5.0 (37,245 total enrollments)
• Duration: 14h
• Certificate: Certificate on completion

## 9. Calculus Applied

This course will delve beyond the traditional calculus textbook and explore how single-variable calculus and mathematical models are applied by real practitioners in social, life, and physical sciences. You will also understand how calculus and mathematical models are used in their work and how to create and analyze these models.

In this Calculus course, you will learn the following:

• How standardized test makers use functions to analyze the difficulty of test questions;
• How economists model the interaction of price and demand using rates of change, in a historical case of subway ridership;
• How an x-ray is different from a CT scan, and what this has to do with integrals;
• How biologists use differential equation models to predict when populations will experience dramatic changes, such as extinction or outbreaks;
• How the Lotka-Volterra predator-prey model was created to answer a biological puzzle;
• How statisticians use functions to model data, like income distributions, and how integrals measure chance;
• How Einstein’s Energy Equation, E=mc2 is an approximation to a more complicated equation.

Led by experienced practitioners, this course offers a hands-on approach to learning single-variable calculus, where you will explore data and graphs, write equations, calculate derivatives, integrals, and differential equations, and make educated guesses and predictions. You'll also gain an understanding of mathematical models and parameters, providing you with an invaluable supplement to your studies.

• Course rating: 4.0 out of 5.0 (774 rating total)
• Duration: 10 weeks (3-6 hours/week)
• Certificate: Certificate on completion

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