Course syllabus for Calculus, part D

The course syllabus contains changes
See changes

Course syllabus adopted 2024-02-06 by Head of Programme (or corresponding).

Observe
Note – can not be included in a Chalmers' degree

Overview

  • Swedish nameMatematik, del D
  • CodeMVE720
  • Credits4.5 Pre-education credits
  • OwnerZBARD
  • 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 94122
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0124 Examination 4.5 fup
Grading: TH		 4.5 fup
  • 17 Maj 2025 pm J
  • 04 Jun 2025 pm J
  • 22 Aug 2025 pm J

In programmes

Examiner

Go to coursepage (Opens in new tab)

Eligibility

General entry requirements for bachelor's level studies

Specific entry requirements

Mathematics 2a or 2b or 2c or equivalent and English 6

Course 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 and handle number sequences, especially arithmetic and geometric sequences.
  • understand and use sigma notation, and calculate arithmetic and geometric sums/series.
  • define the concepts of definite integral and improper/generalized integral.
  • derive and use the fundamental rules of integration of definite integrals.
  • derive and use the fundamental theorem of analysis.
  • calculate area of plane regions and surfaces of revolution, and volume of solids of revolution.
  • understand what is meant by a differential equation, and characterize such.
  • be familiar with and use some of the most common methods for solving differential equations.
  • apply knowledge about integrals and differential equations to solve simpler problems.

Content

  • Sequences and sums, especially arithmetic and geometric.
  • Integration of definite integrals, using substitution and integration by parts.
  • Integrals of definite integrals where the integrand is rational.
  • Improper/generalized integrals.
  • Areas of plane regions and surfaces of revolution, and volumes of solids of revolution.
  • Ordinary differential equations and methods to solve such, especially separable, linear of first order and linear of second order with constant coefficients.
  • Applications on integration and differential equations.

Organisation

Teaching takes place online through lectures and exercises.

Literature

Håkan Blomqvist: Matematik för tekniskt basår, del 1-3, Matematiklitteratur.

Examination including compulsory elements

The course is graded through written exam with grading scale TH.

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 course rounds:
    • 2024-12-02: Examinator Examinator changed from Thomas Wernstål (twernst) to Jenny Larsson (jennla) by Viceprefekt
      [Course round 1]