Course syllabus adopted 2022-02-14 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk analys, del 1
- CodeMVE535
- Credits7.5 Credits
- OwnerTIDAL
- 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 62125
- Maximum participants125
- 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 |
|---|---|---|---|---|---|---|---|
| 0117 Examination 7.5 c Grading: TH | 7.5 c |
In programmes
- TIDAL - COMPUTER ENGINEERING, Year 1 (compulsory)
- TIELL - ELECTRICAL ENGINEERING, Year 1 (compulsory)
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
Elementary knowledge in algebra corresponding to the course MVE675 Algebra.Aim
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 limit and continuity and compute limits
- define the concepts of derivative and differentiation and use the definition of derivative to calculate the derivatives of elementary functions
- use the definition of derivative and the fundamental rules of differentiation to compute derivatives
- outline the elementary functions and account for their properties
- define the concepts of increasing (decreasing) function and local maximum (minimum) value
- construct graphs of functions and calculate the absolute maximum (minimum) value of a function
- define the concept of inverse function, calculate inverse functions and their derivatives
- approximate functions by Taylor polynomials
- use and combine different concepts in problem solving
Content
Theory of sets Algebraic equations Algebraic simplifications Inequalities Absolute value The circle and the ellipse The concept of a function Exponential- and logarithmic functions Derivative, rules of differentiation Implicit differentiation Tangent and normal Limits Continuity Derivative, differentiable functions Increasing and decreasing functions Local maximum och minimum Extreme-value problems Inverse function The inverse trigonometric functions Derivatives of the elementary functions Asymptotes, construction of the graph of a function Growth of exponentials and logarithms Antiderivatives.Organisation
Lectures end exercise sessions.Literature
Månsson+Nordbeck: Endimensionell Analys.Examination including compulsory elements
Written exam. Voluntary written test that can provide bonus points for the exam can occur.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.