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Calculus: Complete Course (Udemy.com)

From Beginner to Expert - Calculus Made Easy, Fun and Beautiful

Created by: Woody Lewenstein

Last updated September 2026

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What you will learn

  • Differentiation
  • Integration
  • Differential Equations
  • Optimization
  • Chain Rule, Product Rule, Quotient Rule
  • Limits
  • Maclaurin and Taylor Series

How it compares

Against the other 127 rated Udemy courses in Math on CourseDuck:

  • Rating4.7 out of 5higher than 51% of them
  • Reviews298#58 of 128 by number of reviews
  • Length20.2 hourslonger than 77% of them
  • Last updatedSeptember 2026more recently than 92% of them

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Course Description

This is course designed to take you from beginner to expert in calculus. It is designed to be fun, hands on and full of examples and explanations. It is suitable for anyone who wants to learn calculus in a rigorous yet intuitive and enjoyable way.


The concepts covered in the course lie at the heart of other disciples, like machine learning, data science, engineering, physics, financial analysis and more.


Videos packed with worked examples and explanations so you never get lost, and many of the topics covered are implemented in Geogebra, a free graphing software package.


Key concepts taught in the course are:

  • Differentiation Key Skills: learn what it is, and how to use it to find gradients, maximum and minimum points, and solve optimisation problems.

  • Integration Key Skills: learn what it is, and how to use it to find areas under and between curves.

  • Methods in Differentiation: The Chain Rule, Product Rule, Quotient Rule and more.

  • Methods in Integration: Integration by substitution, by parts, and many more advanced techniques.

  • Applications of Differentiation: L'Hopital's rule, Newton's method, Maclaurin and Taylor series.

  • Applications in Integration: Volumes of revolution, surface areas and arc lengths.

  • Alternative Coordinate Systems: parametric equations and polar curves.

  • 1st Order Differential Equations: learn a range of techniques, including separation of variables and integrating factors.

  • 2nd Order Differential Equations: learn how to solve homogeneous and non-homogeneous differential equations as well as coupled and reducible differential equations.

  • Much, much more!


The course requires a solid understanding of algebra. In order to progress past the first few chapters, an understanding of trigonometry, exponentials and logarithms is useful, though I give a brief introduction to each.


Please note: This course is not linked to the US syllabus Calc 1, Calc 2 & Calc 3 courses, and not designed to prepare you specifically for these. The course will be helpful for students working towards these, but that's not the aim of this course.

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Instructor Details

Woody Lewenstein

After finishing my studies at Oxford University I worked for a year in India before moving to London, which is where I have been ever since.

I have taught mathematics in some of the best performing schools in the country for over 10 years, where I have taught all levels of school maths, including GCSE, A-Level, Further Maths and Oxbridge entrance paper preparation. I also have 1000's of hours of tutoring experience working one-to-one with students on A-level maths and further maths.

Alongside this I have worked with businesses to train their staff in mathematical skills, such as statistics, data analysis and mathematical software packages.

Away from my work I love music and long-distance cycling, and recently cycled from London to Istanbul.

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Reviews

4.7

298 ratings on Udemy

Select a bar to show only those reviews.Select the bar again to show every rating.

By John Mullen on 9/5/2026

Woody does an excellent job of explaining complex concepts in understandable terms. His proofs are better than those of other Professors. I have just finished the section on Alternative Coordinate Systems, and the course thus far has been superb. I anticipate that the rest of the course will be outstanding as well. P.S. I finished the course last night and my anticipation was correct: The final part of the course is outstanding as well!

By Raymond Daly on 3/28/2026

Fo rme it was an 'epic' journey, covered the course over 3 months, a section/week. Some of the material covered in, I never fully understood, but was very well explained. So, it was well worth it overall .Thanks again woody, Yout lecturing skills are really A1.

By JD Headley on 1/5/2026

I am reviewing Calculus nearly 47 years after first studying it in high school. The introduction triggered some memories of what I learned. I look forward to mastering the subject in order to delve into new areas.

By William Everett on 12/3/2025

Good explanation but since it's been long time for me to use math I forgot some basics so I have to use AI to explain some basics for me in order to really understand . But in general so far it's really good and understandable

By Prerak Sheth on 11/12/2025

provides good introduction to the wide range of topics on calculus, and the explanation is through without being boring.

By Birgi Emir ÖZYAVRU on 8/27/2025

As someone who had some prior knowledge about Calculus, this course took me to a different level. The instructor teaches concepts in a way that makes sense, often trying to get you to imagine how it works and explains all the proofs that are necesearry. He is obviously quite skilled at this, and he is really fun to watch as well. Would recommend for anyone interested in this subject or needs to take it for school.

By Hooky on 5/31/2025

Amazing full explanations with no gaps. Not trying to force information without reason which I really like. It’s just that at the last sections there were some weird unexplained things that required me to research on my own.

By Joseph John Busa on 1/13/2025

As expected, this course is excellent. Woody's explanations are clear and insightful, whether he's using Chalk & Talk or GeoGebra. Added to this are all the optional quiz questions which, if attempted, go a long way to ensuring that concepts are actually learnt and embedded in memory as you progress through the course.

By Ivo Pereira on 8/2/2024

Great course, I'm literally a 9th grader and I understand so much. One star less cuz I want to remember to change that to 5 after I completely master calculus (which I'm sure I will).

By Joseph Kostas on 5/11/2024

I have a lot of experience with calculus and, in particular, differential equations. Since it was on sale for a very low price, I just purchased this course to see what the videos were like. Instructor is a very good presenter of information. He is direct and well prepared. I recommend to anyone interested at whatever level of previous knowledge.

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Overall Score : 94 / 100