Course syllabus adopted 2022-02-14 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys, del 2
- CodeMVE545
- Credits3 Credits
- OwnerTIDAL
- 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 62111
- Maximum participants125
- 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 |
|---|---|---|---|---|---|---|---|
| 0117 Examination 3 c Grading: TH | 3 c |
|
In programmes
- TIDAL - COMPUTER ENGINEERING, Year 1 (compulsory)
- TIELL - ELECTRICAL ENGINEERING, Year 1 (compulsory)
Examiner
Zoran Konkoli- Associate Professor, Electronics Material and Systems, Microtechnology and Nanoscience
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
Elementary knowledge in algebra corresponding to the course MVE675 Algebra.Aim
The course should, in a coherent way, give basic knowledge of calculus. The course will also facilitate mathematical treatment of technical problems in the profession and provide basic knowledge for further studies.Learning outcomes (after completion of the course the student should be able to)
- define the concepts of definite integral and improper integral
- use the fundamental rules of integration
- use the most common methods for solving differential equations
- interpret integrals geometrically
- apply the knowledge of derivatives and integrals to simpler applied problems
Content
Connection between area and antiderivative. Definite and indefinite integral. Rules of integration, integration by parts, integration by substitution. Integration of rational functions, algebraic functions and certain transcendental functions. Improper integrals. Separable differential equations. first-order linear differential equations. Examples of problem which could be solved by differential equations. Operators, linear differential equations of higher orders with constant coefficients.Organisation
The course includes lectures, tutorials, quizzes and homework.Literature
Månsson+Nordbeck: Endimensionell AnalysExamination including compulsory elements
The learning outcomes are assessed continuously by quizzes and a final exam.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.