Algemene informatie
| Vakcode | XB_0114 |
|---|---|
| Studiepunten | 6 EC |
| Periode | P2 |
| Vakniveau | 200 |
| Onderwijstaal | Engels |
| Faculteit | Faculteit der Bètawetenschappen |
| Vakcoördinator | E. Sandin Vidal |
| Examinator | dr. S.D. Barthel |
| Docenten |
E. Sandin Vidal |
|
Onderdeel van opleiding(en)
Bachelor
Premaster
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Praktische informatie
Voor dit vak moet je zelf intekenen. De inteken- en afmeldtermijnen staan op VU.nl
| Onderwijsvorm | Werkcollege, Practicum, Hoorcollege |
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Doelgroepen
Dit vak is ook toegankelijk als:
Dit vak wordt in het Engels aangeboden. Omschrijvingen kunnen daardoor mogelijk alleen in het Engels worden weergegeven.
Doel vak
Upon completion of the course, students will:
- Demonstrate a solid comprehension of fundamental concepts in Linear Algebra and Calculus, including vectors, matrices, linear systems, functions, limits and differentiation (Knowledge and Understanding).
- Apply mathematical techniques to solve basic exercises and problems across different levels of complexity within Linear Algebra and Calculus, such as solving linear systems or diagonalization, showcasing proficiency in computations and problem-solving strategies (Applying Knowledge and Understanding).
- Engage in rigorous mathematical reasoning by providing proofs of statements and theorems, and by explaining underlying concepts and principles (Applying Knowledge and Understanding; Making Judgments).
- Develop the ability to articulate mathematical solutions and explanations effectively, engaging clear communication of mathematical concepts (Communication Skills).
- Cultivate learning skills necessary for further study in mathematics and AI, including the ability to independently explore advanced topics, identify areas for improvement, and pursue self-directed learning opportunities (Learning Skills).
Inhoud vak
Calculus:
- Functions
- Limits
- Derivatives
- Partial derivatives
- Gradients
Linear Algebra:
- Linear systems of equations
- Row reduction
- Linear maps
- Matrix and vectors operations
- Vector spaces
- Determinants
- Eigenvalues, eigenvectors and diagonalization
- Inner product, orthogonalization and Gram Schmidt
Aanvullende informatie onderwijsvormen
Theory lectures and exercise tutorials each week.
Toetsvorm
One Calculus test and one final exam with choice of repeating Calculus or doing only Linear Algebra.
Overige informatie
In this course, the use of generative AI (GenAI), such as ChatGPT or similar tools, is not permitted in the corresponding forms of assessment. Any use of GenAI in this course is considered fraud. If established, the submitted work or assessment result will be declared invalid, and the Examination Board may impose further measures.