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
Show entire timetable
Show personal time table for this course.

Comment:
Ubegrænset deltagerantal.

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.