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MM536: Calculus for mathematics (10 ECTS)

STADS: 13011501

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.

Teacher responsible
Email: pica@cp3.dias.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Tuesday 14-16 U140 38,46
Common I Tuesday 16-18 U140 43
Common I Tuesday 14-16 U55 47
Common I Wednesday 10-12 U23 36,43-45,50
Common I Wednesday 10-12 U1 38,48-49
Common I Wednesday 10-12 U48A 39,41
Common I Wednesday 10-12 U150 40
Common I Wednesday 10-12 U55 47
Common I Thursday 08-10 U23 37,39
Common I Friday 14-16 U23 36,44-45
Common I Friday 14-16 U48A 37
Common I Friday 14-16 U55 40-41,46,48-50
H16 TE Tuesday 08-10 *Odense Lokalitet aftales 13 37,39,41 SF H16 MM536
H16 TE Tuesday 14-16 U92 43
H16 TE Tuesday 12-14 *Odense Lokalitet aftales 13 44,46 SF H16 MM536
H16 TE Tuesday 10-12 *Odense Lokalitet aftales 13 48,50 SF H16 MM536
H16 TE Thursday 12-14 U142 36,38,40-41,45,48-51
H16 TE Thursday 12-14 U155 37,44
H16 TE Thursday 12-14 U31 39
H16 TE Thursday 12-14 U30 46
H16 TE Thursday 12-14 U72 47
H17 TE Monday 12-14 *Odense Lokalitet aftales 7 39,41,44 SF H17 MM536
H17 TE Monday 14-16 U142 43
H17 TE Monday 12-14 U154 51
H17 TE Tuesday 12-14 *Odense Lokalitet aftales 7 37,46 SF H17 MM536
H17 TE Tuesday 14-16 *Odense Lokalitet aftales 7 48,50 SF H17 MM536
H17 TE Thursday 14-16 U156 36-37,39,41,44-50
H17 TE Friday 08-10 U11 38
H17 TE Friday 08-10 U142 40
H18 TE Tuesday 08-10 *Odense Lokalitet aftales 7 37,41,44,46,50 SF H18 MM536
H18 TE Tuesday 14-16 U154 37
H18 TE Tuesday 14-16 U23A 39,48
H18 TE Tuesday 10-12 *Odense Lokalitet aftales 7 39 SF H18 MM536
H18 TE Tuesday 14-16 U24 40-41
H18 TE Tuesday 12-14 U23A 43,46,49-51
H18 TE Tuesday 14-16 T8 44
H18 TE Tuesday 16-18 U142 47
H18 TE Tuesday 12-14 *Odense Lokalitet aftales 7 48 SF H18 MM536
H18 TE Wednesday 14-16 U23A 38,45
H18 TE Friday 10-12 U142 36
M1 TE Tuesday 10-12 U60 39 SFV M1
M1 TE Wednesday 12-14 U154 36-41,43-51
M1 TE Wednesday 14-16 U26A 39,44 Studieforum
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Comment:
Ubegrænset deltagerantal.Samlæses med MM558 fra uge 43.

Prerequisites:
The course cannot be chosen by students, who have passed FF502.

Academic preconditions:
Knowledge and skills corresponding to A-level in mathematics 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 within analysis, including mathematical symbolic language and logical arguments.

The course gives an academic basis for studying the topics of mathematical and numerical analysis (MM533, MM548, MM549), the theory of ordinary and partial differential equations (MM547, MM546, MM546), statistics (ST521, ST522) that are part of the degrees of mathematics and applied mathematics.

In relation to the competence profile of the degree it is the explicit focus of the course to:

  • Give skills to use the appropriate mathematical reasoning and technical terms; analyze and evaluate the theoretical and practical problems for the application of a suitable mathematical model; communicate using a  proper mathematical language in writing and orally
  • Give knowledge and understanding of basic concepts, theory and methods of mathematics; to conduct analyses using mathematical methods and critically evaluate scientific theories and models.


Expected learning outcome
The learning objectives of the course are that the student demonstrates the ability to:
  • Apply methods and results from calculus to analyze and explain the behavior of the models presented during the course
  • Formulate and, using a mathematical symbolic language, carry out arguments relating to mathematical problems within the syllabus of the course
  • Solve mathematical problems within the syllabus of the course.
Subject overview
The following main topics are contained in the course:
  • The concept of a function.
  • Real and complex numbers.
  • Differentiation and integration of functions of one and several variables.
  • Basic concepts of differential equations.
  • Basic concepts of vector calculus.
Literature
    Meddeles ved kursets start.


Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Mandatory assignment, evaluated by internal censorship by the 7-mark scale (5 ECTS). (13011502).
  2. Mandatory assignment, evaluated by internal censorship by the 7-mark scale (5 ECTS). (13011512).
Expected working hours
The teaching method is based on three phase model.
Intro phase: 56 hours
Skills training phase: 30 hours, hereof:
 - Tutorials: 30 hours

Educational activities Study phase: 30 hours
Educational form
Activities during the study phase:
  • preparation of exercises in study groups
  • critical discussion of the concepts presented during the lectures.


Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.