IRF30017 Mathematics 3 (Autumn 2021)
Facts about the course
- ECTS Credits:
- 10
- Responsible department:
- Faculty of Computer Science, Engineering and Economics
- Campus:
- Fredrikstad
- Course Leader:
- Tore August Kro
- Teaching language:
- For furter information see Forms of teaching and learning
- Duration:
- ½ year
The course is connected to the following study programs
Optional course in all Bachelor of Engineering programmes.
Recommended requirements
IRF10014 Matematikk 1 (Mathematics 1) and IRF20014 Matematikk 2 (Mathematics 2) or equivalent courses.
Lecture Semester
5th semester (Autumn)
The student's learning outcomes after completing the course
Knowledge:
The student will
- have learned the concepts and terminology related to the course subjects
- be able to follow the logical structure of simple mathematical proofs and derivations
- have good knowledge of calculus with several variables
- have knowledge of the fundamental principles of physics and its scientific method
- have knowledge of how physical laws of mechanics can be applied to model observable phenomena, and have an understanding of the model's range of validity
Skills:
The student
- has the mathematical and physical prerequisits for a masters programme in engineering
- is able to ressonate and draw logical conclusions
- is able to perform calculations related to the course subjects
- understands and can justify his/her calculations
- is able to apply mathematics to problems in engineering sciences
- is able to use mathematical software for simple simulations
- has quantitative problem solving skills and is able to model by using basic principles from mathematics and physics
Competence:
The student
- understands that the level of precision in mathematics enables structuring of engineering problems and makes these problems solvable
- has gained an understanding of mathematics and physics as a basis for scientific thinking
- is able to communicate with other professionals using mathematical language
Content
Mathematics (70%):
- Conic sections. Quadric surfaces. Parametric curves.
- Functions of several variables. Lagrange multipliers.
- Multiple integrals in two and three dimensions with change of variables.
- Vector fields. Divergence and curl.
- Line and surface integrals.
- Green's, Stokes' and the divergence theorems.
Physics (30%):
- Physics of waves with focus on oscillations, resonance and mechanical waves. Thermal physics with focus on heat transport. The wave equation and the heat equation in one dimension.
- Numerical methods and modeling with applications in physics.
- Use of mathematical software for simulating simple physical systems.
Forms of teaching and learning
Lectures and exercises in plenum plus exercises in workshops. The entire course or parts of it can be completed online.
Workload
250-300 hours
Examination
Individual, written examination, 4 hours.
Permitted aids:
- Calculator, with empty memory, that cannot compute symbolically and that cannot be used for wireless communication
- One A4 sheet of paper with free content (printed or handwritten, allowed to write on both sides)
- Either Tor Andersen: "Aktiv formelsamling i matematikk" or "Gyldendals formelsamling i matematikk" or a handbook of mathematical formulas in English approved by the teacher prior to the examination
The A-F grading system is used, with A as the best mark and F as fail.
Examiners
External and internal examiners or two internal examiners.
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, J.R, Weir, M.D., Thomas, G.B, (2014). University Calculus: Early transcendentals, Pearson.
Compendia.