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This course covers the most important techniques in differential and integral calculus. Whle the focus is placed on intuition and problem solving, you will also learn how to prove the main statements such as the product rule and the fundamental theorem of calculus.
After successful completion of this course, you will have gained in-depth knowledge of calculus topics such as limits, differential calculus, integral calculus and you will be capable of computing derivatives and integrals using analytic methods.
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"Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of 'continuous change', in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.”
The concept of 'continuous change' has a fundamental role in AI in general and machine learning in particular. For example, artificial neural networks are trained by heavily using differential calculus, whereas integral calculus is heavily used for calculating Bayesian probabilities. As such, you will see calculus come running back to you in most AI BA/MA courses (including neural networks and Bayesian statistics), academic papers and software libraries. This course will give you the necessary formation to embrace calculus and make it a welcome sight in any context.
In this course, the following topics will be covered:
- Limits
- Differentiation
- Integration
- Sequences and series
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Theoretical examination (100%)
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Please sign up for any course at (https://portal.ru.nl/home), it is obligatory.
Students who are enrolled for a course are also provisionally registered for the exam.
Resit: Manual register at (https://portal.ru.nl/home) until five working days prior to the date of the exam. No delayed registration is possible.
We urge you to always read the course information on Brightspace.
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