list 8 sequences
assignment Level : Introductive
chat_bubble_outline Language : English
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Key information

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verified_user Fee-based Certificate
timer 48 hours in total

About the content

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 five important mathematical subjects that are assumed to be mastered by beginning Bachelor students: functions, equations, differentiation, integration and analytic geometry. 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 self-paced course consisting of 7 modules (or weeks) and 1 final exam. The modules consist of a collection of 3-5 minute lecture videos, inspirational videos on the use of mathematics in Science, Engineering and Technology, (interactive) exercises and homework.

The videos, practice exercises and homework are available free of charge in the audit track. In the ID-verified track, necessary if you pursue a certificate, you can additionally access the final exam.

This course has been awarded with the 2016 Open Education Award for Excellence in the category 'Open MOOC' by the Open Education Consortium. 

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.

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Prerequisite

This course revises high school level mathematics and is aimed to close the readiness gap between high school and university.

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Syllabus

  • 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 to use some elementary integration techniques;
  • Understand, visualize and manipulate geometric objects in the plane, such as vectors, lines, circles and more general curves. 
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Instructors

Bart van den Dries
Lecturer, Mathematics
Delft University of Technology

Roelof Koekoek
Lecturer, Mathematics
Delft University of Technology

Wolter Groenevelt
Assistant Professor, Mathematics
Delft University of Technology

Fokko van de Bult
Lecturer, Mathematics
Delft University of Technology

Iris Smit
Lecturer, Mathematics
Delft University of Technology

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Content designer

Delft University of Technology
Delft University of Technology
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Platform

Edx

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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