Course syllabus adopted 2019-02-08 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys
- CodeTMV170
- Credits7.5 Credits
- OwnerTKDAT
- 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 49121
- 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 |
|---|---|---|---|---|---|---|---|
| 0104 Examination 7.5 c Grading: TH | 7.5 c |
|
In programmes
Examiner
Zoran Konkoli- Associate Professor, Electronics Material and Systems, Microtechnology and Nanoscience
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
None.Aim
The purpose of the course is to, together with the other mathematics courses in the program, 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 calulations of volumes of bodies and lenghts of curves, simpler differential equations, Taylor expansions and approximations of functions, complex numbers