Course syllabus adopted 2023-02-02 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys
- CodeMVE045
- Credits7.5 Credits
- OwnerTKITE
- 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 52115
- 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 |
|---|---|---|---|---|---|---|---|
| 0105 Examination 7.5 c Grading: TH | 7.5 c |
|
In programmes
Examiner
Simon Larson- Biträdande universitetslektor, Analysis and Probability Theory, 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
The course presupposes the mathematical maturity which is reached during the previous courses in the programme.
Aim
The purpose of the course is to, together with the other mathematics courses in the programme, provide a general mathematical education needed for further studies as well as professional life.
Learning outcomes (after completion of the course the student should be able to)
- define and manipulate elementary functions and algebraic expressions
- explain the concepts of derivative and integral and the relation between them
- compute integrals both analytically and numerically
- explain criteria for optimality
- solve simple differential equations
- approximate functions by polynomials and their representation by power series
- use and combine different concepts in problem solving
Content
Basic calculus in one variable: elementary functions, concepts of limits and continuity, mean value theorem, Riemann integral, antiderivatives and the relation of these to integrals, applications of integrals to calculations of volumes of bodies and lengths of curves, simpler differential equations, Taylor expansions and approximations of functions, complex numbersOrganisation
Lectures end exercise sessions.Literature
Calculus, a Completa Course av R. A. Adams Addison Wesley LongmanExamination including compulsory elements
Written exam. Voluntary written test that can provide bonus points for the exam can occur.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.