Syllabus for Scientific Computing I

Beräkningsvetenskap I

A revised version of the syllabus is available.

Syllabus

  • 5 credits
  • Course code: 1TD393
  • Education cycle: First cycle
  • Main field(s) of study and in-depth level: Computer Science G1F, Technology G1F, Mathematics G1F

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle
    G1N: has only upper-secondary level entry requirements
    G1F: has less than 60 credits in first-cycle course/s as entry requirements
    G1E: contains specially designed degree project for Higher Education Diploma
    G2F: has at least 60 credits in first-cycle course/s as entry requirements
    G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    GXX: in-depth level of the course cannot be classified.

    Second cycle
    A1N: has only first-cycle course/s as entry requirements
    A1F: has second-cycle course/s as entry requirements
    A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    AXX: in-depth level of the course cannot be classified.

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2007-03-19
  • Established by: The Faculty Board of Science and Technology
  • Revised: 2015-05-12
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 27, 2015
  • Entry requirements:
  • Responsible department: Department of Information Technology

Learning outcomes

To pass, the student should be able to

  • describe and perform tasks in connection to the key concepts covered in the course;
  • explain the idea behind and apply the algorithms covered in the course;
  • explore properties for numerical methods and mathematical models by using the analysis methods covered in the course;
  • explain simple programming code in MATLAB and write small size programs by means of script files and self-written functions;
  • in a student group write programming code that use fundamental programming structures (if, while, for);
  • in a student group structure and divide a computational problem into sub-problems, formulate an algorithm and implement the algorithm in MATLAB;
  • in a short report, in Swedish and English, explain and summarise solution methods and results in a lucid way

Content

MATLAB and programming in MATLAB: fundamental programming structures (if statements, for, while), functions, parameter passing. Programming structure. Problem solving methodology. Given a problem, divide it into sub-problems, write an algorithm and transform the algorithm to a MATLAB program.
Solution to linear equation systems using LU-factorisation with pivoting. Norms for matrices and vectors. Sensitivity and condition number, stable/unstable algorithm. Numerical solution to integrals. Simpsons metod and Trapezoid rule. Solution to non-linear equations and iterative methods. Bisection, Newton-Raphon method and hybrid algorithms. Floating point representation and the IEEE-standard for floating point arithmetic, machine epsilon and round-off error.
Key concepts covered in the course: algorithm, numerical method, complexity, discretisation och discretisation error, machine epsilon, floating point numbers, round off error, accuracy and order of accuracy, stable and unstable algorithm, iteration and iterative method, condition and condition number, efficiency, adaptivity and adaptive methods, convergence, convergence rate, fix point iteration.

Instruction

Lectures, problem solving classes/workouts, laboratory work, assignments/mini projects.

Assessment

Written exam (3 credits) and approved mini projects (2 credits), where at least one of the reports, or part of it, should be written in English.

Reading list

Reading list

Applies from: week 27, 2015

Some titles may be available electronically through the University library.

  • Chapra, Steven C. Applied numerical methods with MATLAB for engineers and scientists

    3. international ed.: Boston: McGraw-Hill Higher Education, 2012

    Find in the library

    Mandatory