Calculus

2018/2019

Content, progress and pedagogy of the module

Purpose:
Calculus is the branch of mathematics that studies differential equations and operations such as integration. Differential equations, in turn, describe (among other things) how signals in electric circuits behave

Learning objectives

Knowledge

  • Must have knowledge on real functions of two or more variables.
  • Must have knowledge of the trigonometric functions and their inverse functions
  • Most have knowledge of Taylors formula and Taylor series
  • Must have knowledge of complex numbers and roots in polynomials
  • Must have knowledge of the complex exponential function, its characteristics and its connection with trigonometric functions
  • Must have knowledge of curves in the plane (both rectangular and polar coordinates) and spatial parameterisations, tangent vectors and curvatures of such curves
  • Must have knowledge of the Laplace transform and its use in relation to solving differential equations.

Skills

  • Must be able to approximate functions via Taylor series
  • Must be able to carry out differentiation of functions of more variables, and have a geometric understanding that allows solution of inhomogeneous second order linear differential equations.

Competences

  • Must be able to solve linear differential equations with constant parameters
  • Must be able to solve coupled first order linear differential equations and inhomogeneous second order linear differential equations
  • Must be able to give a geometric description of real functions in 2 and 3 variables

Type of instruction

See the general description of the types of instruction described in the introduction to Chapter 3.

Exam

Exams

Name of examCalculus
Type of exam
Written or oral exam
ECTS5
Assessment7-point grading scale
Type of gradingInternal examination
Criteria of assessmentAs stated in the Joint Programme Regulations
http:/​/​www.en.tech.aau.dk/​education-programmes/​Education+and+Programmes/​

Facts about the module

Danish titleCalculus
Module codeESNROBB2K2
Module typeCourse
Duration1 semester
SemesterSpring
ECTS5
Language of instructionEnglish
Empty-place SchemeYes
Location of the lectureCampus Aalborg
Responsible for the module

Organisation

Study BoardStudy Board of Electronics and IT
FacultyTechnical Faculty of IT and Design