Calculus

2018/2019

Prerequisite/Recommended prerequisite for participation in the module

The module builds on knowledge gained in Linear Algebra or similar

Content, progress and pedagogy of the module

Learning objectives

Knowledge

Students who have passed the module

  • Should have knowledge about definitions, results and techniques within the theory of differentiation and integration of functions of two or more variables
  • Should know trigonometric functions and their inverse functions
  • Should have knowledge about simple surfaces in right-angled, polar and spherical coordinates
  • Should have knowledge about complex numbers their calculation rules and representations
  • Should have knowledge about factorization of polynomia of complex numbers
  • Should have knowledge about the complex exponential function, its properties and its connection with trigonometric functions
  • Should have knowledge about the theory for second order linear differential equations with constant coefficients

Skills

  • Can visualize functions of two and three variables by means of graphs, level curves and level planes
  • Can determine local and global extremes for functions of two and three variables
  • Can determine area, volume, inertia moment by use of integration theory
  • Can approximate functions of a variable by means of Taylor’s equation and use linear approximation for functions with two or three variables
  • Are capable of calculations using complex numbers
  • Can find the roots of the complex quadratic equation and perform factorization of polynomia in simple cases
  • Can solve linear second order differential equations with constant coefficients, generally and with starting conditions
  • Can reason with the concepts, results and theories of the course in simple concrete and abstract problems

Competences

  • Can develop and strengthen the knowledge, understanding and application of mathematical theories and methods within other fields
  • Can reason and argue using mathematical concepts from given prerequisites

Type of instruction

Lectures and calculation exercises

Extent and expected workload

150 hours

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

Facts about the module

Danish titleCalculus
Module codeK-BBT-B2-14
Module typeCourse
Duration1 semester
SemesterSpring
ECTS5
Language of instructionEnglish
Empty-place SchemeYes
Location of the lectureCampus Copenhagen
Responsible for the module

Organisation

Study BoardStudy Board of Biotechnology, Chemistry and Environmental Engineering
FacultyFaculty of Engineering and Science