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:
- It is included in your education.
- It stands as a specific recommendation for optional ECTS on the recommended course of study.
- It is part of a defined transition scheme for a course that you have not yet completed.
Academic preconditions
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
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.
The examination form for re-examination may be different from the exam form at the regular exam.
Indicative number of lessons
Teaching Method
Teacher responsible
Additional teachers
Name | 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 |