| TNCG06 | Numerical Methods for Advanced Computer Graphics, 7,5 ECTS credits. /Numerical Methods for Advanced Computer Graphics/ |
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Prel. scheduled
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Area of Education: Technology Subject area: Mathematics |
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| Advancement level
(G1, G2, A): G2
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| Aim: To provide the students with the mathematical skills necessary for coming courses in advanced computer graphics. After the course the student shall be able to theoretically understand and also implement the following in at least one programming language (for example Matlab or C/C++), * Solving equations in one variable using different methods, * Analysing the error, * Doing interpolation and polynomial approximation, using for example, Lagrange polynomial, divided difference, Cubic spline and parametric curves, * Differentiating and integrating numerically using different methods, * Solving ordinary differential equations, * Solving linear systems using pivoting * Finding the determinant of a matrix, the inverse of a matrix, eigenvalues and eigenvectors, LU factorisation * Special types of matrices, * Solving linear systems by using iterative techniques, * Finding the best polynomial representing a number of data points (or a function) by least squares method |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) Calculus, Linear algebra Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: The course consists of lectures, classes and laboratories. |
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| Course contents: Mathematical Preliminaries. Solutions of Equations in One Variable. Interpolation and Polynomial Approximation. Numerical Differentiation and Integration. Initial-Value Problems for Ordinary Differential Equations. Direct Methods for Solving Linear Systems. Iterative Techniques in Matrix Algebra. Approximation Theory. |
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| Course literature: Numerical Analysis, Richard L. Burden and J. Douglas Faires |
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| Examination: | ||||
| Written examination Laboratory work |
3 p 2 p |
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4,5 ECTS 3 ECTS |
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Course language is English. Department offering the course: ITN. Director of Studies: Kenneth Bjerner Examiner: Sasan Gooran Course Syllabus in Swedish |
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