Pre-University Calculus

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9/10 stars
based on  26 reviews
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edX online courses
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Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with edX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be taught by David J. Malan, a senior lecturer on computer science at Harvard University for the School of Engineering and Applied Sciences. But there's not just one professor - you have access to the entire teaching staff, allowing you to receive feedback on assignments straight from the experts. Pursue a Verified Certificate to document your achievements and use your coursework for job and school applications, promotions, and more. EdX also works with top universities to conduct research, allowing them to learn more about learning. Using their findings, edX is able to provide students with the best and most effective courses, constantly enhancing the student experience.

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Sciences & Technology
Business & Management
22688 reviews

Course Description

Mathematics is the language of Science, Engineering and Technology. Calculus is an elementary Mathematical course in any Science and Engineering Bachelor. Pre-university Calculus will prepare you for the Introductory Calculus courses by revising four important mathematical subjects that are assumed to be mastered by beginning Bachelor students: functions, equations, differentiation and integration. After this course you will be well prepared to start your university calculus course. You will learn to understand the necessary definitions and mathematical concepts needed and you will be trained to apply those and solve mathematical problems. You will feel confident in using basic mathematical techniques for your first calculus course at university-level, building on high-school level mathematics. We aim to teach you the skills, but also to show you how mathematics will be used in different engineering and science disciplines.

Educat...

Mathematics is the language of Science, Engineering and Technology. Calculus is an elementary Mathematical course in any Science and Engineering Bachelor. Pre-university Calculus will prepare you for the Introductory Calculus courses by revising four important mathematical subjects that are assumed to be mastered by beginning Bachelor students: functions, equations, differentiation and integration. After this course you will be well prepared to start your university calculus course. You will learn to understand the necessary definitions and mathematical concepts needed and you will be trained to apply those and solve mathematical problems. You will feel confident in using basic mathematical techniques for your first calculus course at university-level, building on high-school level mathematics. We aim to teach you the skills, but also to show you how mathematics will be used in different engineering and science disciplines.

Education method

This is a course consisting of 6 modules (or weeks) and 1 final exam. The class will consist of a collection of 3-5 minute lecture videos, inspirational videos on the use of mathematics in Science, Engineering and Technology, (interactive) exercises, homework and exams.

Exercises, homework and the exams will determine the final grade. The course material will be available for the students online and free of charge. 

 

This course was awarded the Open MOOC Award 2016 by the Open Education Consortium.

 

 

 

 

LICENSE

The course materials of this course are Copyright Delft University of Technology and are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike (CC-BY-NC-SA) 4.0 International License.

Learn more about our High School and AP* Exam Preparation Courses

* Advanced Placement and AP are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, these offerings.

Reviews 9/10 stars
26 Reviews for Pre-University Calculus

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Narasimhan S profile image
Narasimhan S profile image

Narasimhan S

7/10 starsTaking Now
4 years, 2 months ago
i found the course very useful.it helps in many ways particularly prior entering university education besides also to develop mathematical thinking and logical reasoning. I am sure you wd also conduct elementary algebra,arithmetic,geometry,menstruation,integration differentiation etc.i found the video instruction very useful. Thanks.
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Michael Hunt profile image
Michael Hunt profile image

Michael Hunt

10/10 starsTaking Now
10 months ago
Excellent course. Clear explanations, great slides that you can download and read separately, and lots of exercises to practise with. The 'Training Exercises' (lots of them, especially these), 'Catch the Error' and GeoGebra interactive apps are all great features, and the active and sympathetic engagement of the instructors on the message boards is much appreciated. I took this as an instructor of elementary mathematics at about this level. I wanted to relearn a few things I had forgotten and get some ideas on how better to present these topics to others. In both respects the course has been very useful.
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janne jäntti profile image
janne jäntti profile image

janne jäntti

10/10 starsTaking Now
1 year, 2 months ago
Very good course. It is a review and refresh course from a technical university and it assumes familiarity with the subject like someone out of hs . Also good for someone who had some difficulties with early math courses due to deficits with the basics. For these people this is very good If you have not taken much of this before I recommend something else first. In that case it is very tedious and challenging as you would need to constantly check the material from other sources . Some of the concepts are explained only briefly and exercises could feel random. Certainly doable but difficult Sometimes quizes and applets can feel a bit glitchy but I managed. English is not my or their native language but I never had any problem understanding the content. . I can see that it could perhaps bother some people who are native english speakers but not used to this.
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Austin Frye profile image
Austin Frye profile image

Austin Frye

10/10 starsTaking Now
2 years, 1 month ago
The contents of the course is very good, I would like to see many more exercises though.
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student profile image

student

8/10 starsTaking Now
2 years, 2 months ago
I truly enjoyed this course. I did not know what to expect because this university is not in America, but my expectations have been exceeded and I am humbled. The teaching was so clear, yet it did not lack any rigor. The instructors were very nice and extremely knowledgeable and most importantly they are good teachers! I learned a lot from the portions of the course I was able to complete and cant wait to take it again. I wouldn't mind be a student at this University if the majority of the faculty teach like this!
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Charles Doyle profile image
Charles Doyle profile image

Charles Doyle

8/10 starsTaking Now
2 years, 2 months ago
The content in this course is good and I found the course to be a good refresher for my calculus skills. The professors provide a lot of material that is designed to give us valuable insights into precalculus and calculus. I learned a lot from this course and I thank you for making it. My advice to improve the course is for Delft to rethink their reliance on video lessons as the primary delivery method of the content. Your video lessons are not comprehensive and I find a professor reading a script in front of a camera to be not so effective in delivering mathematical content. I get the feeling that you present lessons this way because it's the only way you know how to present online lessons. Let me tell you another way to do this that I think is much more effective: Make a blended course of videos and a smart AI textbook. You could include some videos of professors at the chalk board solving the fundamental and tricky problem... The content in this course is good and I found the course to be a good refresher for my calculus skills. The professors provide a lot of material that is designed to give us valuable insights into precalculus and calculus. I learned a lot from this course and I thank you for making it. My advice to improve the course is for Delft to rethink their reliance on video lessons as the primary delivery method of the content. Your video lessons are not comprehensive and I find a professor reading a script in front of a camera to be not so effective in delivering mathematical content. I get the feeling that you present lessons this way because it's the only way you know how to present online lessons. Let me tell you another way to do this that I think is much more effective: Make a blended course of videos and a smart AI textbook. You could include some videos of professors at the chalk board solving the fundamental and tricky problems, and leave most of the explaining of the fundamental concepts to a smart textbook integrated into the course. Check out what Arizona State Univ. is doing with their precalculus course to see what I mean. I think one of your assistants should take the course to see what I mean. Their course is way more comprehensive and I find it enjoyable because progressing through the course is guided by AI algorithms that let better students go faster and strugglers stay in material until they get it. The quizzes are all tailored to what the individual's strengths have been in previous lessons and quizzes and they always include prior-chapter material to continue reinforcing all skills in the course. A student who makes it to the end of the ASU precalculus course has pretty much mastered the material inside and out. I would love to see you guys make a course like that on pre-university calculus, along with some good videos to show problem-solving techniques and how to lay-out a problem to solve it correctly, and to give a human element to the course. The ASU course isn't perfect. They could improve it with some videos and they could always include more content. But they are really on to something with smart-textbook courses that guide students based on their strengths and weaknesses. Their course is giving a glimpse of the AI education future. It would likely be too expensive for you to make a long comprehensive course like ASU precalculus, all based on your video lecture format, but one based on a textbook is likely cheaper to make and I think a better course. Go ahead Delft, take calculus to the next level! Give the world the best Introduction to Calculus course ever built! You clearly have a very innovative and impressive campus with lots of creative professors who are likely up to the task of building a better math course. Sooner or later your simple "stiff professor in front of a camera reading a math script" format will be superseded by more innovative approaches. And ASU is giving a glimpse of what that future will be. Why not get out in front of this thing now and be one of the innovators? Isn't that what Delft is all about? Isn't that what MOOCs are all about? Thank you for your course and for reading my thoughts.
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Muhammad Raheel profile image
Muhammad Raheel profile image

Muhammad Raheel

10/10 starsTaking Now
2 years, 2 months ago
First of all thanks to edX for providing such valuable course. Course material is easy to understand and good. Instructors language is easy to understand even a person with less English communicating skills can easily understand the lecture and at the end all material provided is best Downloadable pdf slides, subtitles clearly mentioned to the right and practice exercises, homework enable one to test his or her grasped knowledge.
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Student

10/10 starsCompleted
3 years, 1 month ago
Great course. There are plenty of exercises, the teaching staff are engaged in discussions and provide helpful hints when you are stuck. However, if you need more than just a review of high school math, it can be quite challenging.
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Viva Wu profile image
Viva Wu profile image

Viva Wu

10/10 starsTaking Now
3 years, 2 months ago
This course is excellent!Calculus is taught in details, which benefits me in many ways. Thanks to the four devoted instructors, I am doing well in Physics Competition! Thank you very much!
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NN Misra profile image
NN Misra profile image

NN Misra

9/10 starsCompleted
3 years, 2 months ago
Excellent course! Kudos and thanks to the instructors for designing this great course touching up on all the important concepts of high school. I particularly liked that the concepts of algebraic scaling, of immense importance in (natural) science was cleverly introduced. The exercises were well organised to test the key concepts.
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Karthik Palaniswamy profile image
Karthik Palaniswamy profile image

Karthik Palaniswamy

10/10 starsCompleted
3 years, 2 months ago
Excellent course with practical examples. It would been nice if there was primer on basic of limits. Special thanks to Prof. Bart Van den Dries
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Amit M profile image
Amit M profile image

Amit M

9/10 starsTaking Now
3 years, 4 months ago
Really helpful content for those who are facing difficulty to relate mathematical equations to engineering content (Various graphs and their equations). Most of the instructors have tried to explain the content in lucid manner (except one). Tutorial answers could have been explained in more detailed manner. Overall, its great.
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justin ames profile image
justin ames profile image

justin ames

4/10 starsDropped
3 years, 4 months ago
Instruction is horrible, with a motley crew of grad students and already dead older guys reading from a teleprompter. Most of the material is poorly conveyed, with scarcely any text. Get ready to use the Net for EVERYTHING. Most of the spoken material has a semblance of the english in which it is delivered, but these are not native English speakers. Ambiguities abound everywhere, definitions themselves need definitions to be understood. The homework and prep work lack any coherent structure, with ideas appearing without motivation, proper instruction, or indications where the material can be obtained. Just a really, really sh*tty attempt.
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student

4/10 starsTaking Now
3 years, 4 months ago
This is a REVIEW course so it does not explain many of the concepts in detail. The course is very well organized but many of the explanations are not detailed enough if you haven't previously studied the material. The exercises do not have clear explanations (there are many similar complaints in the course discussion). In some cases the English in the videos and transcripts appears to be composed by a non-native speaker; it should be edited for clarity.
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Ilias Patelakis profile image
Ilias Patelakis profile image

Ilias Patelakis

10/10 starsCompleted
3 years, 8 months ago
One of the best edx courses offered from Delft university. Most highly recommended to enrich someone's existing knowledge on Calculus. The instructors were great and their method of teaching as well. Thank you very much!!!
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Mirza Ibrahimovic profile image
Mirza Ibrahimovic profile image
10/10 starsCompleted
  • 12 reviews
  • 11 completed
3 years, 11 months ago
Plenty of challenging and relevant exercises. Videos are lectured by what appears to be students (graduates in mathematics?) so the quality varies. However, they are generally of pretty high quality. The staff is active in the in forums.
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Sabrina Q profile image
Sabrina Q profile image

Sabrina Q

10/10 starsCompleted
4 years ago
Wonderful course. After being out of mathematics for a few years, I took this course before taking a formal Calculus course at a physical college. It was the perfect mix of everything from Pre-calculus. There are many logic and real world examples, that prepare your brain to think in a more mathematical manner, and to approach problems more analytically. Some of the examples were quite difficult difficult and intensive, but they provide a good insight into the world of applied mathematics.
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Bruno Lottero profile image
Bruno Lottero profile image

Bruno Lottero

10/10 starsTaking Now
3 years, 12 months ago
This course is beautifully organized and is helping me a lot to review calculus subjects for my university application and even further
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Juan Gallegos profile image
Juan Gallegos profile image

Juan Gallegos

6/10 starsTaking Now
4 years ago
Is very good and important for my life proffesional. I help me better to give my math classes for young people in college.
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Estefania Cass. profile image
Estefania Cass. profile image

Estefania Cass.

10/10 starsCompleted
4 years, 1 month ago
I loved this course! I learned so much! The material is very well explained, with PDF study guides and lots lots lots of exercises to practice, with inmediate feedback to see if you are right or wrong. The content is introduced with a real-life application for what you will be learning, and several exercises are real-life situations and applied concepts. I intend to take this course again to learn even more! :) Thanks to everyone in Edx and TUDelf!
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Peter Pan profile image
Peter Pan profile image

Peter Pan

6/10 starsCompleted
4 years, 2 months ago
The strong point of this course were the staff and the community T.A's who answered a lot of questions related to the exercises. I completed this course in about 15 days and it was tough as I wanted to complete it before the deadline, as a matter of principle. In the end I made it by a hair's breadth. The course has a lot of practice material and the training modules were specially useful for gaining further conceptual clarity and the deal with tricky question. A problem I faced was being unable to understand what the question was asking for which led to quite a view wrong answers. I would recommend this to people who want a refresher in Pre-calculus, but if you did not take mathematics in High school then go with a course that goes more into detail.
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Heidi Smit profile image
Heidi Smit profile image

Heidi Smit

10/10 starsTaking Now
4 years, 2 months ago
I love this course but did not have time to take part. I am a very slow learner. Not a calculatic bone in the body. But i won't give up and I will start again. I am so very happy that the course stays online. Maybe next time i might even get points. Thank you all very much for putting this course together.
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vickram sookdeo profile image
vickram sookdeo profile image

vickram sookdeo

10/10 starsDropped
4 years, 2 months ago
thank you TU DELFT! This course was very well conceptualized.It provided lots of practical applications of the course material.I enjoyed the "did you get it right segments.Thanks to the many lecturers,auxiliary staff and most of all the female mathematicians at TU DELFT.GREAT JOB.I WILL SURELY COMPLETE THE rerun of this course when its next offered.
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Luis Manalac profile image
Luis Manalac profile image

Luis Manalac

10/10 starsCompleted
4 years, 2 months ago
Excellent preparation for University level Calculus,or a great Reviewer for Lifelong Learners. Looking forward to additional courses from Delft. The material was presented very well, by caring teachers, and the large number of exercises cement the concepts well. The "slice of life" videos of Delft was a nice touch and would benefit other Institutions offering MOOCs.
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Elsa Oliveira profile image
Elsa Oliveira profile image

Elsa Oliveira

10/10 starsCompleted
4 years, 2 months ago
Great video explanations and a lot of exercises to practice. I definitely recommend this course to pre-university students and as resources to reuse by teachers.
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Nina Nvy profile image
Nina Nvy profile image

Nina Nvy

10/10 starsTaking Now
4 years, 4 months ago
This course revises high school level mathematics and will prepare you for the Introductory Calculus courses by revising four important mathematical subjects: functions, equations, differentiation and integration.
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