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Graduate courses

Departments' graduate courses for PhD-students.

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Syllabus for

Academic year
MVE530 - Introductory course in mathematics  
Inledande matematik
 
Syllabus adopted 2021-02-26 by Head of Programme (or corresponding)
Owner: TIKEL
3,0 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Main field of study: Mathematics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: Swedish
Application code: 64123
Open for exchange students: No
Maximum participants: 50
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0117 Examination 3,0 c Grading: TH   3,0 c   26 Oct 2021 pm J,  04 Jan 2022 pm J,  16 Aug 2022 am J

In programs

TIKEL CHEMICAL ENGINEERING, Year 1 (compulsory)

Examiner:

Tony Johansson

  Go to Course Homepage


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 on educational support due to disability.


Page manager Published: Thu 04 Feb 2021.