TANA21 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Scientific Computing
Active · next start HT 2026
97%
passed the latest ordinary exam
TEN1 · 31 Oct 2025 · 265 students
96%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 977 students
14%
Harder than 14% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 463 students.
Part of 9 programmes
- Master of Science in Engineering Mathematics
- Master of Science in Applied Physics and Electrical Engineering
- Master of Science in Computer Science and Engineering
- Master of Science in Chemical Biology
- Master of Science in Engineering Biology
- Master of Science in Biomedical Engineering
- Master of Science in Computer Science and Software Engineering
- Master of Science in Mechanical Engineering
- Bachelor of Science in Computer Engineering
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
96% passed · 977 students
- 97%265
- 94%198
- 96%196
- 94%154
- 97%164
Re-exams
89% passed · 64 students
- 78%9
- 100%5
- 60%5
- 100%9
- 82%11
- 100%14
- 91%11
- Pass the re-exam: 89% (64 students), compared with 96% (977 students) on the ordinary exam
- Get 4 or 5: 68% (1,041 students)
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Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Hand-in or lab
LAB1 Laboratory work
- G
Main rounds
100% passed · 888 students
- 100%258
- 100%175
- 100%174
- 100%128
- 100%153
Later rounds
100% passed · 55 students
- 100%6
- 100%9
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- 100%11
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- 100%6
- Pass a later round: 100% (55 students), compared with 100% (888 students) on the ordinary exam
Show small sittings (40)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
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About the course
Aim
Computational mathematics is the art of developing and analysing numerical algorithms for solving mathematical problems in for example natural science and technology. After finishing the course the student should be able to
- explain and separate fundamental terms and concepts in computationl mathematics
- use a selection of numerical algorithms for solving given mathematical problems using a pocket calculator
- estimate the accuracy of calculated results
- use mathematical software
Content
- Error analysis: Round off, truncation, error propagation and cancellation.
- Floting point numbers: Floating point systems, machine epsilon and round off.
- Linear systems of equations: LU decomposition, pivoting, backward and forward substitution, condition and arithmetic complexity.
- Interpolation and approximation: Newton's and Lagrange's methods, splines, Horner's scheme, least squares and overdetermined systems.
- Differentiation and integration: Difference approximation, order of accuracy, the trapezoidal rule and Simpon's rule.
- Ordinary differential equations: Runge Kutta methods, local and global truncation error, stability and convergence. Finite difference method.
- Non-linear equations: The bisection method, Newton-Raphson's method, fixed point iteration, condition and order of convergence.
- Examiner
- Andrew Winters
- Scheduled hours
- 48 h
- Main field of study
- Matematik, Tillämpad matematik