FT501: Calculus

Study Board of Science

Teaching language: Danish or English depending on the teacher
EKA: N500035102
Assessment: Second examiner: Internal
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Bachelor

STADS ID (UVA): N500035101
ECTS value: 10

Date of Approval: 02-04-2019


Duration: 1 semester

Version: Archive

Entry requirements

This course can only be chosen if:

  1. It is included in your education.
  2. It stands as a specific recommendation for optional ECTS on the recommended course of study. 
  3. It is part of a defined transition scheme for a course that you have not yet completed. 

Academic preconditions

Knowledge and skills corresponding to A-level from the Danish `gymnasium’.

Course introduction

The course will train the students to deal with scientific models by identifying and applying the relevant mathematical methods from analysis, including mathematical symbolic language and logical arguments. In addition, the course will give the students introduction to basic concepts from linear algebra, with particular emphasis on matrix manipulations.  

Expected learning outcome

Knowledge

The students should be able to:

  • Explain differential and integral calculus, complex numbers and Taylor series, and matrix calculus, along with their applications. 
Skills

The students should be able to:
  • Formulate and, using mathematical symbolic language, carry out arguments related to mathematical problems within the syllabus of the course. 
  • Solve mathematical problems within the syllabus of the course.
  • Apply methods and results from calculus to analyze and explain the behavior of the models presented during the course. 
  • Solve systems of linear equations, calculate determinants and find inverses of matrices. 
Competences

The students should be able to: 
  • Analyze and explain theoretical and practical problems for applications to a suitable mathematical model; express mathematical reasoning both orally and in writing.
  • Carry out analyses using mathematical methods and evaluate critically scientific theories and models.

Content

The following main topics are contained in the course
  • The concept of a function.
  • Real and complex numbers.
  • Systems of linear equations, matrix calculus, inverses of matrices, determinants. 
  • Differentiation and integration of functions of one or many variables.
  • Taylor series.
  • Differential equations.
  • Vector calculus.

Literature

See Blackboard for syllabus lists and additional literature references.

Examination regulations

Exam element a)

Timing

Autumn/January

Tests

Portfolio

EKA

N500035102

Assessment

Second examiner: Internal

Grading

7-point grading scale

Identification

Student Identification Card

Language

Normally, the same as teaching language

Examination aids

To be announced during the course

ECTS value

10

Additional information

Port folio consists of written exam (January) and compulsory assignments (Autumn), where the written part counts 80% while compulsory assignments count 20%.
The examination form for re-examination may be different from the exam form at the regular exam.

Indicative number of lessons

96 hours per semester

Teaching Method

See danish version

Teacher responsible

Name E-mail Department
Anders Yeo yeo@imada.sdu.dk Institut for Matematik og Datalogi

Additional teachers

Name E-mail Department City
Anders Yeo yeo@imada.sdu.dk Institut for Matematik og Datalogi
Jonas Beermann job@mci.sdu.dk SDU Nano Optics, Mads Clausen Instituttet

Timetable

Administrative Unit

Fysik, kemi og Farmaci

Team at Educational Law & Registration

NAT

Offered in

Odense

Recommended course of study

Profile Education Semester Offer period