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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
MVE545 - Calculus, part 2  
Matematisk analys, del 2
Syllabus adopted 2019-02-21 by Head of Programme (or corresponding)
Owner: TIDAL
3,0 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Major subject: Mathematics

Teaching language: Swedish
Application code: 62120
Open for exchange students: No
Maximum participants: 125
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 3,0c Grading: TH   3,0c   29 May 2021 pm L,  09 Oct 2020 pm L,  18 Aug 2021 pm L

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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

Elementary knowledge in algebra corresponding to the course LMA212 Algebra.


The course should, in a coherent way, give basic knowledge of calculus. The course will also facilitate mathematical treatment of technical problems in the profession and provide basic knowledge for further studies.

Learning outcomes (after completion of the course the student should be able to)

  • define the concepts of definite integral and improper integral
  • use the fundamental rules of integration
  • use the most common methods for solving differential equations
  • interpret integrals geometrically
  • apply the knowledge of derivatives and integrals to simpler applied problems


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.
Separable differential equations. first-order linear differential equations. Examples of problem which could be solved by differential equations. Operators, linear differential equations of higher orders with constant coefficients.


The course includes lectures, tutorials, quizzes and homework.


James Stewart: Calculus Early Transcendentals, Brooks/Cole

Examination including compulsory elements

The learning outcomes are assessed continuously by quizzes and a final exam.

Page manager Published: Thu 04 Feb 2021.