Course syllabus for Calculus in one variable

The course syllabus contains changes
See changes

Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).

Overview

  • Swedish nameMatematisk analys i en variabel
  • CodeTMV137
  • Credits7.5 Credits
  • OwnerTKELT
  • 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 50132
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0112 Examination 6 c
Grading: TH		 6 c
  • 14 Jan 2022 am J
  • 13 Apr 2022 am J
  • 19 Aug 2022 am J
0212 Laboratory 1.5 c
Grading: UG		 1.5 c

In programmes

Examiner

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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

Introductory Course in Mathematics.

Aim

The purpose of the course is to, together with the other mathematics courses in the program, provide a general knowledge in the mathematics required in further studies as well as in the future professional career. This includes proficiency in problem solving within the subject areas of the course, using the computing and programming language MATLAB.

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

- have deepened knowledge of elementary functions - have attained good knowledge about the integral and its relation to differentiation - be acquainted to both analytical and numerical methods for calculating integrals; also using MATLAB. - have a good understanding of the meaning of an ordinary differential equation - be familiar with both analytical and numerical methods for solving ordinary differential equations - be familiar with how functions can be approximated by polynomials and represented by power series - be able to use and combine different concepts in problem solving - be able to use the software MATLAB in problem solving. A more detailed Learning outcome is to be find on the course homepage.

Content

Antiderivatives and integration, indefinite integrals, techniques of integration. Improper integrals. Applications of integration: Area, volume, centre of mass, arc length, solids and areas of surfaces of revolution. Introduction to numerical analysis, numerical integration: the trapezoid rule, Simpson's rule. Series, power series, Taylor and Maclaurin series. About algebraic equations with complex coefficients. Ordinary differential equations (ODEs): 1st-order equations, separabel and linear equations. 2nd-order equations. Linear equations of higher order with constant coefficients. Numerical derivation and numerical solution of ODEs. Basics of MATLAB; programing and applications.

Organisation

Instruction is given in lectures and classes and mathematical and computational laboratory work within the course subject area using the computer program MATLAB. More detailed information will be given on the course web page before start of the course.

Literature

Course literature will be listed on the course web page in advance of course start; http://www.chalmers.se/math/SV/utbildning/grundutbildning-chalmers/arkitekt-och/elektroteknik

Examination including compulsory elements

More detailed information will be given in advance of course start on the course web page. Examples of forms of examination: -tasks to be presented for the teacher orally or in written form, -project, individual or in a group, -written or oral exam during and/or at the end of the course, -tasks/problems to be solved on a computer and presented in written form or directly on the computer -other means of presenting educational progress related to the course.

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.

The course syllabus contains changes

  • Changes to examination:
    • 2021-10-21: Examination date Examination date changed from 2022-08-15 to 2022-08-19 by Elisabeth Eriksson
      [2022-08-15 6,0 hec, 0112]
    • 2021-10-21: Examination datetime Examination datetime changed from 2022-04-11 Afternoon to 2022-04-13 Morning by Elisabeth Eriksson
      [2022-04-11 6,0 hec, 0112]