General Information
| Course Code | XB_0114 |
|---|---|
| Credits | 6 EC |
| Period | P2 |
| Course Level | 200 |
| Language of Tuition | English |
| Faculty | Faculty of Science |
| Course Coordinator | E. Sandin Vidal |
| Examiner | dr. S.D. Barthel |
| Teaching Staff |
E. Sandin Vidal |
|
Part of programme(s)
Bachelor
Premaster
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Practical Information
You need to register for this course yourself. The (de)registration deadlines can be found on VU.nl
| Teaching Methods | Seminar, Practical, Lecture |
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Target audiences
This course is also available as:
Course Objective
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).
Course Content
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
Additional Information Teaching Methods
Theory lectures and exercise tutorials each week.
Method of Assessment
One Calculus test and one final exam with choice of repeating Calculus or doing only Linear Algebra.
Additional Information
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.