The aim of this course is that the successful student will be able to
- perform basic calculations with real and complex numbers,
- manipulate the standard functions (polynomials, powers, trigonometric, exponential, logarithmic functions, ...),
- perform basic algebraic manipulations (equations, matrices and vectors in low dimensions),
- differentiate functions in one or more variables,
- approximate functions using series (Taylor, Maclaurin, power series),
- integrate functions using several techniques (partial integration, substitution, ...)
- parametrize and analyze curves in low dimensions,
- solve ordinary differential equations using various techniques (complex exponential, ...).
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Topics:
- Functions
- Manipulations of functions
- Matrices and Vectors
- Differentiation
- Extreme Values
- Partial derivatives
- Antiderivatives and Integration
- Sequences and Limits
- Multiple Integrals
- Cylindrical and Spherical Coordinates
- Differential equations
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The prerequisites are highschool mathematics on the level of VWO-Wiskunde B or its equivalent.
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Partial test in each quarter. There is a resit for for each partial test.
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