Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).
Overview
- Swedish nameInledande matematik
- CodeMVE530
- Credits3 Credits
- OwnerTIKEL
- 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 64134
- Maximum participants50
- 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
Examiner
- Thomas Wernstål
- Senior Teaching Fellow, 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 course should in a logically coherent way provide knowledge of the foundations of mathematics necessary for further studies.Learning outcomes (after completion of the course the student should be able to)
- define the limit and continuity concepts and calculate limits
- define the concepts of derivative and differentiability and calculate the derivative of elementary functions using the definition of the derivative
- compute derivatives using the basic calculation rules
- outline the elementary functions and describe their properties
Content
Algebraic manipulations, logic, equations, inequalities, absolute value, functional concept, straight line, exponential and logarithmic functions, trigonometry, circle and ellipse. Limit. Continuity. Definition of the derivative, differentiability and continuity, rules of differentiation, the chain rule and implicit differentiation.Organisation
Teaching is mainly in the form of lectures and exercises.Literature
Communicated before the course starts.Examination including compulsory elements
The examination consists of a written exam and the grade is based on the result of this. Optional quizzes which can provide bonus points may be present.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 about disability study support.