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Undergraduate course

Classical and Computational Mechanics

  • ECTS credits10
  • Teaching semesterSpring
  • Course codeMAT251
  • Number of semesters1
  • LanguageNorwegian (English if English-speaking students attends to course).
  • Resources

Teaching semester

Every second spring, even-numbered years

Objectives and Content

The course gives an introduction to analytical mechanics, variational principles, dynamics in accelerated coordinate systems and conservation laws.

Particular attention is paid to variational calculus, rigid bodies, dynamics for bodies subject to central forces, accelerated coordinate systems, forced and damped oscillations, nonlinear dynamics and canonical transformations to find conservation laws. The course also includes a brief introduction to discrete Lagrangian variations  and Hamiltonian (symplectic) numerical methods for differential equations.

The course lays the basis for further specialisation in mechanics and dynamical systems.

Learning Outcomes

After completion of the course, the student is expected to be able to:

  • Explain elementary principles of analytical mechanics, like generalised coordinates, virtual work and variational principle.
  • Use variational calculus on simple problems with constraints.
  • Use the Lagrange and Hamilton formalism to find the motion equations for simple mechanical systems.
  • Describe  different types of trajectories for a particle in a central force field, using energy arguments.
  • Define the Inertia tensor and derive the motion equations for rigid bodies.
  • Describe how to use the Legendre transformation to transform between Lagrangian  and Hamiltonian description of mechanics.
  • Identify cyclic variables and derive conservation laws for simple Hamiltonian systems using canonical transformations.
  • Have a basic knowledge of discrete variations and symplectic numerical methods

Recommended Previous Knowledge

MAT131, MAT212, PHYS111

Compulsory Assignments and Attendance

Excercises

Forms of Assessment

Written examination: 5 hours

Due to the measures taken to avoid the spread of SARS-CoV-2, UiB is closed for teaching and assessment. As a consequence, the following changes is made to assessment spring semester 2020:

  • Grading scale ¿Pass/Fail¿ instead of ¿A-F¿
  • Written home examination instead of written examination

Examination Support Material

None

Grading Scale

The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.

Exam information

  • For written exams, please note that the start time may change from 09:00 to 15:00 or vice versa until 14 days prior to the exam. Autumn 2020 written exams will be arranged either at home or on campus. Please see course information on MittUiB.

  • Type of assessment: Written examination (New exam)

    Date
    22.09.2020, 09:00
    Duration
    5 hours
    Examination system
    Inspera
    Digital exam