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Use the search function to find more information about the study programmes and courses available at Chalmers. When there is a course homepage, a house symbol is shown that leads to this page.

Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
MVE045 - Calculus  
Matematisk analys
Syllabus adopted 2019-02-21 by Head of Programme (or corresponding)
Owner: TKITE
7,5 Credits
Grading: TH - Five, Four, Three, Fail
Education cycle: First-cycle
Major subject: Mathematics

Teaching language: Swedish
Application code: 52118
Open for exchange students: No
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0105 Examination 7,5 c Grading: TH   7,5 c   29 Oct 2019 pm SB   07 Jan 2020 pm SB_MU   25 Aug 2020 am J

In programs



Zoran Konkoli

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In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

Course specific prerequisites

The course presupposes the mathematical maturity which is reached during the previous courses in the programme.


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


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 numbers


Lectures end exercise sessions.


Calculus, a Completa Course av R. A. Adams Addison Wesley Longman

Examination including compulsory elements

Written exam. Voluntary written test that can provide bonus points for the exam can occur.

Page manager Published: Thu 04 Feb 2021.