The course syllabus contains changes
See changesCourse syllabus adopted 2021-02-18 by Head of Programme (or corresponding).
Observe
Note – can not be included in a Chalmers' degreeOverview
- Swedish nameMatematik
- CodeMVE425
- Credits30 Pre-education credits
- OwnerZBASS
- Education cyclePre-university
- DepartmentMATHEMATICAL SCIENCES
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language Swedish
- Application code 95113
- Open for exchange studentsNo
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0114 Examination, part A 7.5 fup Grading: TH | 7.5 fup |
| |||||
| 0214 Examination, part B 7.5 fup Grading: TH | 7.5 fup |
| |||||
| 0314 Examination, part C 4.5 fup Grading: TH | 4.5 fup |
| |||||
| 0414 Examination, part D 10.5 fup Grading: TH | 10.5 fup |
|
Examiner
- Thomas Wernstål
- Senior Teaching Fellow, Analysis and Probability Theory, Mathematical Sciences
Eligibility
General entry requirements for bachelor's level studiesSpecific entry requirements
Mathematics 2a or 2b or 2c or equivalent and English 6Course specific prerequisites
Examination certificate from upper secondary school including or complemented by the courses 2a or 2b or 2c in mathematics.Aim
The aim of the course is to give basic knowledge in mathematical analysis. The course will also supply a good base for further studies.Learning outcomes (after completion of the course the student should be able to)
- understand how mathematics is build on definitions and theorems - simplify algebraic expressions - solve systems of linear equations system - use the laws of exponens - fundamental geometry - fundamental trigometric - solve trigonometric equations - solve inequalitys - define absolute value - define the concepts of limit and continuity and calculate limits - define the concepts of derivative and differentiation and use the definition of derivative - calculate the derivatives of elementary functions - use the fundamental rules of differentiation - 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 derivates - calculate with complex numbers - solve algebraic equations - understand and use sigma notation - use the technique of mathematical induction - define the concepts of antiderivative, definite integral and improper integral - use the fundamental rules of integration - use the most common methods for solving differential equations - formulate, and in certain cases prove, fundamental theorems in analysis as, e g the connection between continuity and differentiation, the connection between area and antiderivatives and the mean-value theorem - interpret limits, derivatives and integrals geometrically - apply his/hers knowledge of derivatives and integrals to simpler applied problems - basics in programming with Matlab with applications in mathematics and physics.Content
Module A: MVE425 0114: Real numbers. Algebra: operations with algebraic expressions, expanding and factoring of polynomials, division of polynomials, roots, equations, systems of linear equations, inequalities. Trigonometry: angles, arc length and sector area, cosine, sine, tangent, cotangent, Functions of one variable: polynomials, rational functions. Module B: MVE425 0214: Absolute values. Exponential and logarithmic functions. trigonometric formulas, trigonometric equations. trigonometric functions. Functions of one variable: limits, continuity. Module C: MVE425 0314: Derivatives, applications, maxima and minima. Differantiation rules: sums, constant multiples, the chain rule, the product rule, the quotient rule, composite functions. Derivatives of higher orders with applications. Graphs of functions. Programming with Matlab. Module D: MVE425 0414: Sequences, sums, induction. Primitive functions, indefinite and definite integrals, integration by substitution, integration by parts, integrals of rational fuctions, areas of plane regions, volumes of solid. Ordinary differantial equations: separable, linear of first order, linear of second order with constant coefficients, applications. Programming with Matlab.Organisation
Teaching takes place through lectures and exercises.Literature
Håkan Blomqvist: Matematik för tekniskt basår, del 1-2, Matematiklitteratur.Examination including compulsory elements
Written examinations are carried out for the modules A, B, C and D. Grading TH.
The programming module is obligatory part of the course, with mainly web-based examination. Grading UG.
Completed course corresponds to depth and content at least the upper secondary school's course Mathematics 4.
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 about disability study support.
The course syllabus contains changes
- Changes to module:
- 2025-05-13: Digital exam No longer digital exam by Viceprefekt
[0114 Examination 7,5 credit] Changed to no digital examination inspera - 2024-12-03: Digital exam No longer digital exam by Examinator
[0314 Examination 4,5 credit] Changed to no digital examination inspera - 2024-12-03: Digital exam No longer digital exam by Examinator
[0214 Examination 7,5 credit] Changed to no digital examination inspera - 2024-12-03: Digital exam No longer digital exam by Examinator
[0414 Examination 10,5 credit] Changed to no digital examination inspera - 2024-10-24: Digital exam Changed to digital exam by Tentamensadministration
[0314 Examination 4,5 credit] Changed to digital examination inspera - 2024-10-24: Digital exam Changed to digital exam by Tentamensadministration
[0214 Examination 7,5 credit] Changed to digital examination inspera - 2024-10-24: Digital exam Changed to digital exam by Tentamensadministration
[0114 Examination 7,5 credit] Changed to digital examination inspera - 2024-10-24: Digital exam Changed to digital exam by Tentamensadministration
[0414 Examination 10,5 credit] Changed to digital examination inspera - 2024-09-17: Digital exam Changed to digital exam by Examinator
[0114 Examination 7,5 credit] Changed to digital examination inspera
- 2025-05-13: Digital exam No longer digital exam by Viceprefekt
- Changes to examination:
- 2024-02-22: Examination date Examination date changed from 2024-04-09 to 2024-04-20 by Lars Göran Ottosson
[2024-04-09 4,5 hec, 0314]
- 2024-02-22: Examination date Examination date changed from 2024-04-09 to 2024-04-20 by Lars Göran Ottosson