Course syllabus for Calculus, part B

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 B
  • CodeMVE710
  • Credits7.5 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 94120
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0124 Examination 7.5 fup
Grading: TH		 7.5 fup
  • 18 Jan 2025 pm J
  • 11 Feb 2025 pm J
  • 27 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)

  • be familiar with, and use, elementary concepts about functions.
  • define the concept of inverse function and find inverse functions.
  • outline the elementary functions and account for their properties.
  • be familiar with and use important trigonometric identities.
  • solve trigonometric equations and geometric problems using trigonometry.
  • perform calculation with complex numbers.
  • solve algebraic equations with complex roots.
  • define the concepts of limit and continuity and calculate limits.

Content

  • Elementary concepts of functions; domain of definition and range of function, graph, inverse etc.
  • Elementary functions; power functions, exponential functions, logarithms, trigonometric functions, inverse trigonometric functions.
  • Trigonometry; area theorem, sinus- and cosinus theorem, sum- and difference theorems, periodicity.
  • Trigonometric equations.
  • Solve for angles in triangles.
  • Complex numbers; calculation rules, polar coordinates, Eulers formulas, algebraic equations.
  • Limits; definitions and rules for calculation.
  • Continuity

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:
    • 2024-06-24: Examinator Examinator changed from Thomas Wernstål (twernst) to Carl-Joar Karlsson (carljoar) by Viceprefekt
      [Course round 1]