IRF30013 Mathematics 3 (Autumn 2013)
Facts about the course
- ECTS Credits:
- 10
- Responsible department:
- Faculty of Engineering
- Course Leader:
- Tore August Kro
- Teaching language:
- English
- Duration:
- ½ year
The course is connected to the following study programs
The course is an optional course in all bachelor of engineering programmes
Prerequisites
Successful completion of the courses Mathematics 1 and Mathematics 2, or equivalent, is recommended.
Lecture Semester
5th semester (autumn)
The student's learning outcomes after completing the course
Knowledge: The students will
- have learnt the concepts and terminology related to the course subjects
- be able to follow the logical structure of simple mathematical proofs and derivations
- have the necessary basis for enrolment on a master’s of engineering programme
Skills: The students are able to
- perform calculations related to the course subjects
- understand and justify their calculations
- apply mathematics to problems in engineering sciences
- use mathematical software for simple simulations
Competence: The students have gained an understanding of mathematics as a basis for scientific thinking and are able to communicate with other professionals using mathematical language
Content
- Curves in parametric form and in polar coordinates, curvature and torsion
- Quadratic forms, orthogonal diagonalization and quadric surfaces
- Functions of several variables, Hesse matrix, classification of critical points in dimensions, Lagrange multipliers
- Vector fields, Jacobi matrix
- Multiple integrals in two and three dimensions
- Line and surface integrals
- Green’s, Stokes’ and Divergence theorems
- Partial differential equations, heat conduction equation and the wave equation in one dimension
- Use of mathematical software, numerical methods
We reserve the right to change the content in the case of specific requirements from the national board for technological education (NRT) related to courses in physics or mathematics as a basis for master’s programmes.
Forms of teaching and learning
Lectures and exercises in plenum plus exercises in work shops. The entire course of parts of it can be completed online.
Coursework requirements - conditions for taking the exam
Assignments of which at least one must make use of mathematical software.
Further details of the coursework requirements are given in the semester plan.
All coursework must have been passed and approved before a student may sit the examination.
Examination
Written examination of 4 hours.
An approved calculator and all written aids are permitted at the exam.
The A-F grading system is used, with A as the best mark and F as fail.
Course evaluation
The course has ongoing evaluation throughout the semester with methods agreed between the teacher (s) and students.
Written final evaluation of the course.
Literature
Hass, Weir & Thomas (2012). University Calculus, early transcendentals, 2nd ed., Pearson
Compendia