Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys
- CodeLMA401
- Credits7.5 Credits
- OwnerTIMAL
- 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 65132
- 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 |
|---|---|---|---|---|---|---|---|
| 0119 Examination 7.5 c Grading: TH | 7.5 c |
|
In programmes
- TIMAL - MECHANICAL ENGINEERING, Year 1 (compulsory)
- TIMEL - MECHATRONICS ENGINEERING, Year 1 (compulsory)
Examiner
Malin Palö Forsström- Assistant Professor, 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
-Aim
The aim of the course is to give basic knowledge in mathematical analysis. The course will also create qualification for mathematical treatment of technical problems in future profession and supply a good base for further studies.
Learning outcomes (after completion of the course the student should be able to)
- account for the properties of the elementary functions.
- construct function graphs and determine the maximum and minimum value of a function.
- apply the basic calculation rules for derivatives and integrals.
- interpret limits, derivatives and integrals geometrically.
- apply limits, derivatives and integrals to simpler problems related to the chosen engineering subject.
- present simpler mathematical reasoning.
- account for the meaning of definitions, theorems and proffs and also be able to carry out simpler proofs.
Content
- Limits
- Continuity
- Derivative, differentiable functions
- The mean-value theorem
- Increasing and decreasing functions
- Local maximum och minimum
- Extreme-value problems
- Inverse function
- The inverse trigonometric functions.
- Derivatives of the elementary functions
- Asymptotes, construction of the graph of a function
- Growth of exponentials and logarithms
- Antiderivatives, 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
Organisation
The course includes lectures, tutorials, quizzes and homework.
Literature
Course literature is announced on the course web page before start.
Examination including compulsory elements
The examination is based on a written exam. Quizzes giving bonus points may be offered. Grades TH.
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.