# 10 Best Calculus Courses and Certifications Online

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There are thousands of online courses and classes that will assist you enhance your Calculus skills and earn your Calculus certificate.

In this article, our specialists have assembled a curated list of the 10 Best of the Best Calculus courses, tutorials, training programs, classes and certifications that are offered online right now.

We have included only those courses that satisfy our top quality standards. We have actually put a great deal of time and effort into gathering these all for you. These courses are suitable for all levels, beginners, intermediate learners, and experts.

Here’s a look at these courses and what they have to offer for you!

## 10 Best Calculus Courses and Certifications Online

### 1. Become a Calculus 1 Master by Krista King Udemy Course Our Best Pick

“Learn everything from Calculus 1, then test your knowledge with 600+ practice questions”

As of right now, more than 66147+ people have enrolled in this course and there are over 8949+ reviews.

Course Content
Calculus 1 – Introduction & Resources
Limits & Continuity – Definition of the limit
Limits & Continuity – Combinations and composites
Limits & Continuity – Continuity
Limits & Continuity – Intermediate Value Theorem
Limits & Continuity – Solving limits
Limits & Continuity – Squeeze Theorem
Derivatives – Definition of the derivative
Derivatives – Derivative rules
Derivatives – Chain rule
Derivatives – Other derivatives
Derivatives – Tangent and normal lines
Derivatives – Implicit differentiation
Applications of Derivatives – Optimization and sketching graphs
Applications of Derivatives – Linear approximation
Applications of Derivatives – Related rates
Applications of Derivatives – Applied optimization
Applications of Derivatives – Derivative theorems
Applications of Derivatives – Physics and economics
Applications of Derivatives – Exponential growth and decay
Final exam and wrap-up

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### 2. Become a Calculus 2 Master by Krista King Udemy Course

“Learn everything from Calculus 2, then test your knowledge with 830+ practice questions”

As of right now, more than 41646+ people have enrolled in this course and there are over 3112+ reviews.

Course Content
Getting started
Integrals – Antiderivatives and indefinite integrals
Integrals – Definite integrals
Integrals – Riemann sums
Integrals – Other approximation methods
Integrals – Error bounds
Integrals – Fundamental theorem of calculus
Integrals – U-substitution
Integrals – Integration by parts
Integrals – Partial fractions
Integrals – Trigonometric integrals
Integrals – Hyperbolic integrals
Integrals – Trigonometric substitution
Integrals – Improper integrals
Integrals – Reduction formulas
Applications of Integrals – Area between curves
Applications of Integrals – Arc length
Applications of Integrals – Average value
Applications of Integrals – Surface area of revolution
Applications of Integrals – Volume of revolution
Applications of Integrals – Work
Applications of Integrals – Physics
Applications of Integrals – Geometry
Applications of Integrals – Economics
Applications of Integrals – Probability
Applications of Integrals – Biology
Polar & Parametric – Parametric curves
Polar & Parametric – Calculus with parametric curves
Polar & Parametric – Polar curves
Polar & Parametric – Calculus with polar curves
Sequences & Series – Sequences
Sequences & Series – Partial sums
Sequences & Series – Geometric series
Sequences & Series – Telescoping series
Sequences & Series – Basic convergence tests
Sequences & Series – Comparison tests
Sequences & Series – Ratio and root tests
Sequences & Series – Alternating series test
Sequences & Series – Power series
Sequences & Series – Taylor series
Sequences & Series – Maclaurin series
Final exam and wrap-up

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### 3. Become a Calculus 3 Master by Krista King Udemy Course

“Learn everything from Calculus 3, then test your knowledge with 780+ practice questions”

As of right now, more than 31723+ people have enrolled in this course and there are over 1743+ reviews.

Course Content
Getting started
Partial Derivatives – Three-dimensional coordinate systems
Partial Derivatives – Sketching graphs and level curves
Partial Derivatives – Lines and planes
Partial Derivatives – Cylinders and quadric surfaces
Partial Derivatives – Limits and continuity
Partial Derivatives – Partial derivatives
Partial Derivatives – Differentials
Partial Derivatives – Chain rule
Partial Derivatives – Implicit differentiation
Partial Derivatives – Directional derivatives
Partial Derivatives – Linear approximation and linearization
Partial Derivatives – Tangent planes and normal lines
Partial Derivatives – Optimization
Partial Derivatives – Applied optimization
Partial Derivatives – Lagrange multipliers
Multiple Integrals – Approximating double integrals
Multiple Integrals – Double integrals
Multiple Integrals – Double integrals in polar coordinates
Multiple Integrals – Applications of double integrals
Multiple Integrals – Approximating triple integrals
Multiple Integrals – Triple integrals
Multiple Integrals – Triple integrals in cylindrical coordinates
Multiple Integrals – Triple integrals in spherical coordinates
Multiple Integrals – Change of variables
Multiple Integrals – Applications of triple integrals
Vectors – Introduction to vectors
Vectors – Dot products
Vectors – Cross products
Vectors – Vector functions and space curves
Vectors – Derivatives and integrals of vector functions
Vectors – Arc length and curvature
Vectors – Velocity and acceleration
Vectors – Line integrals
Vectors – Green’s theorem
Vectors – Curl and divergence
Vectors – Parametric surfaces and areas
Vectors – Surface integrals
Vectors – Stokes’ and divergence theorem
Final exam and wrap-up

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### 4. INTUITION MATTERS! Applied Calculus in Engineering: Complete by Mark Misin Engineering Ltd Udemy Course

“Calculus + Engineering + PID: Functions, Limits, Derivatives, Vectors, differential equations, integrals: BEST CALCULUS”

As of right now, more than 4274+ people have enrolled in this course and there are over 452+ reviews.

Course Content
“Single variable functions
Trigonometric functions
Multidimensional functions
Limits
Derivatives – single variable
Vectors
Transformations
Parametric Equations
Multivariable Calculus
Single variable integrals
Multivariable integrals
Introduction to Differential Equations
Calculus in Control Engineering – PID controller
Python codes, installation & Last Words”

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### 5. Calculus 1 with the Math Sorcerer by The Math Sorcerer Udemy Course

The ULTIMATE Calculus 1 Course! Hundreds of Videos and Tons of Assignments with Solutions:)

As of right now, more than 2815+ people have enrolled in this course and there are over 391+ reviews.

Course Content
Introduction to Limits
Squeeze Theorem Limits
Trigonometric Function Limits
Assignment for Sections 1 to 3
Delta Epsilon Proofs
Assignment for Section 5
Continuous Functions
The Intermediate Value Theorem
Assignment for Sections 7 and 8
Infinite Limits
Assignment for Section 10
The Derivative
Assignment for Section 12
Differentiation Formulas
Basic Differentiation Practice Problems
Product Rule Examples
Quotient Rule Examples
Chain Rule Examples
More Derivative Practice Problems
Higher Order Derivatives
Assignment for Sections 14 to 20
Conceptual Practice Problems regarding Derivatives
Bonus Section: Some Derivative Proofs
Velocity and Acceleration
Assignment for Section 24
Implicit Differentiation
Implicit Differentiation and Tangent Lines
Bonus: Implicit Differentiation Harder Problems
Related Rates
Assignment for Sections 26 to 29
Extrema on an Interval
Assignment for Section 31
Rolle’s Theorem
The Mean Value Theorem
Assignment for Sections 33 and 34
Increasing and Decreasing Functions and the First Derivative Test
Concavity and the Second Derivative Test
Assignment for Section 37
Limits at Infinity
Assignment for Section 39
Optimization
Newton’s Method
Assignment for Sections 41 and 42
Differentials
Indefinite Integration
Some Differential Equations
Assignment for Sections 44 to 46
Integration by Substitution
Assignment for Section 48
Area and the Definite Integral
Assignment for Section 50
The Fundamental Theorem of Calculus
The Mean Value Theorem for Integrals
The Extended Fundamental Theorem of Calculus
Assignment for Sections 52 to 54
Simpson’s Rule
Derivatives Involving the Natural Logarithm
Logarithmic Differentiation
Integrals Involving the Natural Logarithm
Assignment for Sections 57 to 59
Derivatives Involving The Exponential Function e^x
More Integration Practice Problems
Assignment for Sections 61 and 62
Derivatives and Integrals with Bases Other than e
Assignment for Section 65

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### 6. Calculus – Mathematics for Data Science – Machine Learning by Manifold AI Learning ® Udemy Course

Mastering Calculus – Mathematics for Deep learning / Machine learning / Data Science / Data Analysis / AI – Hands On

As of right now, more than 2102+ people have enrolled in this course and there are over 139+ reviews.

Course Content
Introduction
Multi Variate Calculus
Chain Rule on Multi-Variate Functions
Taylor Series of Approximations
Neural Networks
Optimization Methods – Newton Raphson & Gradient Descent
Linear Regression
Calculus for Deep Learning
Working with Tensorflow
Finding the Derivative using Tensorflow – AutoGrad
Linear Regression with Deep learning
Linear Regression using Keras
Solution for Exercise
Python for Data Science – Refresh the Basics
Python for Data Science

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### 7. Advanced Calculus/Real Analysis with the Math Sorcerer by The Math Sorcerer Udemy Course

Selected Topics in Advanced Calculus/Real Analysis with tons of Beautiful Proofs:)

As of right now, more than 1930+ people have enrolled in this course and there are over 183+ reviews.

Course Content
The Archimedean Principle
Properties of Sequences
Sequences
Properties of Cauchy Sequences
Cauchy Sequences
Limits
Continuous Functions
Uniformly Continuous Functions
Differentiation
Infinite Series
Multivariable Limits
Pointwise and Uniform Convergence

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### 8. “Calculus 3 (multivariable calculus), part 1 of 2.” by “Hania Uscka-Wehlou, Martin Wehlou” Udemy Course

“Towards and through the vector fields, part 1 of 2.”

As of right now, more than 1689+ people have enrolled in this course and there are over 184+ reviews.

Course Content
Analytical geometry in the space
Conic sections: circle, ellipse, parabola, hyperbola
Quadric surfaces: spheres, cylinders, cones, ellipsoids, paraboloids etc
Topology in R^n
Coordinate systems
Vector-valued functions, introduction
Some examples of parametrisation
Vector-valued calculus; curve: continuous, differentiable, and smooth
Arc length
Arc length parametrisation
Real-valued functions of multiple variables
Limit, continuity
Partial derivative, tangent plane, normal line, gradient, Jacobian
Higher partial derivatives
Chain rule: different variants
Linear approximation, linearisation, differentiability, differential
Implicit functions
Taylor’s formula, Taylor’s polynomial, quadratic forms
Optimization on open domains (critical points)
Optimization on compact domains
Lagrange multipliers (optimization with constraints)
Final words
Extras”

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### 9. Pre Calculus Mastered by Miran Fattah Udemy Course

“Become an Expert on a Wide Range of Functions, Trigonometry, Sequence & Series, Conic Sections and other Precalc topics”

As of right now, more than 1165+ people have enrolled in this course and there are over 175+ reviews.

Course Content
Structure of the Course
Fundamentals
Functions
Function Transformations
Combining Functions
Polynomial Functions
Rational Functions
Exponential Functions
Logarithmic Functions
Trigonometry – Unit Circle Approach
Trigonometry – Right Triangle Approach
Analytic Trigonometry
Conic Sections
Sequence and Series
The Binomial Theorem

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### 10. Business Calculus Explained: An Online Course by Luis Irizarry Udemy Course

The #1 business calculus help course on the Web! Learn calculus for business easily with mnemonics (memory tricks)!

As of right now, more than 1104+ people have enrolled in this course and there are over 212+ reviews.

Course Content
Introduction to the Course
Functions & Graphing
Limits & Continuity
Derivatives
Differentiation Rules
Applications of Derivatives
Exponential & Logarithmic Functions
Integrals

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### How Long Does It Take to Learn Calculus?

The answer to the question “How long does it ttake to learn Calculus” is … it depends. Everybody has different requirements, and everybody is working in different scenarios, so the answer for a single person might be entirely different than for another person.

Consider these questions: What are you trying to Learn Calculus for? Where is your starting point? Are you a novice or do you have experience with Calculus? Just how much can you practice? 1 hour per day? 40 hours weekly? Check out this course about Calculus.

### Is Calculus Easy Or Hard to Learn?

No, learning Calculus isn’t hard for the majority of people. Check this course on how to Learn Calculus in no time!

### How to Learn Calculus Fast?

The fastest method to Learn Calculus is to first get this Calculus course, then practice whatever you learn whenever you can. Even if its simply 15 minutes a day of practice. Consistency is key.

### Where to Learn Calculus?

If you want to explore and learn Calculus, then Udemy offers you the best platform to learn the Calculus. Check this course on how to Learn Calculus in no time!