# Search course

​​​​
​​

## Syllabus for

MVE045 - Calculus
Matematisk analys

Owner: TKITE
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Major subject: Mathematics
Department: 11 - MATHEMATICAL SCIENCES

Teaching language: Swedish
Application code: 52137
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 27 Oct 2020 pm J 04 Jan 2021 pm J, 24 Aug 2021 am J

#### In programs

TKITE SOFTWARE ENGINEERING, Year 2 (compulsory)

Zoran Konkoli

#### 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

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

#### Aim

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

#### Content

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

#### Organisation

Lectures end exercise sessions.