Course syllabus adopted 2024-02-02 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys i en variabel
- CodeTMV137
- Credits7.5 Credits
- OwnerTKELT
- Education cycleFirst-cycle
- Main field of studyMathematics
- DepartmentMATHEMATICAL SCIENCES
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language Swedish
- Application code 50113
- Open for exchange studentsNo
- Only students with the course round in the programme overview.
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0112 Examination 6 c Grading: TH | 6 c |
| |||||
| 0212 Laboratory 1.5 c Grading: UG | 1.5 c |
In programmes
- TKELT - ELECTRICAL ENGINEERING, Year 1 (compulsory)
- TKMED - BIOMEDICAL ENGINEERING, Year 1 (compulsory)
Examiner
Johan Berglind- Instructor, Algebra and Geometry, Mathematical Sciences
Eligibility
General entry requirements for bachelor's level (first cycle)Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Specific entry requirements
The same as for the programme that owns the course.Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Course specific prerequisites
Introductory Course in Mathematics.Aim
The purpose of the course is to, together with the other mathematics courses in the program, provide a general knowledge in the mathematics required in further studies as well as in the future professional career. This includes proficiency in problem solving within the subject areas of the course, using the computing and programming language MATLAB.Learning outcomes (after completion of the course the student should be able to)
- have attained good knowledge about the integral and its relation to differentiation - be acquainted to both analytical and numerical methods for calculating integrals; also using a computing platform. - have a good understanding of the meaning of an ordinary differential equation - be familiar with both analytical and numerical methods for solving ordinary differential equations - be familiar with how functions can be approximated by polynomials and represented by power series - be able to use and combine different concepts in problem solving - be able to use software in problem solving. A more detailed Learning outcome is to be find on the course homepage.Content
Antiderivatives and integration, indefinite integrals, techniques of integration. Improper integrals. Applications of integration: Area, volume, centre of mass, arc length, solids and areas of surfaces of revolution. Introduction to numerical analysis, numerical integration: the trapezoid rule, Simpson's rule. Series, power series, Taylor and Maclaurin series. About algebraic equations with complex coefficients. Ordinary differential equations (ODEs): 1st-order equations, separabel and linear equations. 2nd-order equations. Linear equations of higher order with constant coefficients. Numerical derivation and numerical solution of ODEs. Basics of a computing platform; programing and applications.Organisation
Instruction is given in lectures and classes and mathematical and computational laboratory work within the course subject area using a computer program. More detailed information will be given on the course web page before start of the course.Literature
Course literature will be listed on the course web page in advance of course start; http://www.chalmers.se/math/SV/utbildning/grundutbildning-chalmers/arkitekt-och/elektroteknikExamination including compulsory elements
The laboratory moment is examined with compulsory computer laboratories during the course and gives the grade G or U. The exam moment is examined with a written exam at the end of the course and has the grading scale U,3,4,5. For a passing grade on the course, a passing grade is required on both moments and the final grade will then be the same as the grade on the exam moment.The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.