MM536: Calculus for mathematics

Study Board of Science

Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N300004102, N300004112
Censorship: Second examiner: Internal
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Bachelor

STADS ID (UVA): N300004101
ECTS value: 10

Date of Approval: 25-03-2019


Duration: 1 semester

Version: Archive

Comment

13011501(former UVA) is identical with this course description.
The course is co-read with MM558 from week 43. 

Entry requirements

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.

Content

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

See Blackboard for syllabus lists and additional literature references.

Examination regulations

Exam element a)

Timing

Autumn

Tests

Mandatory assignment

EKA

N300004102

Censorship

Second examiner: Internal

Grading

7-point grading scale

Identification

Full name and SDU username

Language

Normally, the same as teaching language

Examination aids

To be announced during the course

ECTS value

5

Additional information

The examination form for re-examination may be different from the exam form at the regular exam.

Exam element b)

Timing

Autumn

Tests

Mandatory assignment

EKA

N300004112

Censorship

Second examiner: Internal

Grading

7-point grading scale

Identification

Full name and SDU username

Language

Normally, the same as teaching language

Examination aids

To be announced during the course

ECTS value

5

Additional information

The examination form for re-examination may be different from the exam form at the regular exam.

Indicative number of lessons

86 hours per semester

Teaching Method

Activities during the study phase:
  • preparation of exercises in study groups
  • critical discussion of the concepts presented during the lectures.

Teacher responsible

Name E-mail Department
Claudio Pica pica@cp3.sdu.dk

Timetable

3
Monday
17-01-2022
Tuesday
18-01-2022
Wednesday
19-01-2022
Thursday
20-01-2022
Friday
21-01-2022
08 - 09
09 - 10
10 - 11
11 - 12
12 - 13
13 - 14
14 - 15
15 - 16
Show full time table

Administrative Unit

Institut for Matematik og Datalogi (matematik)

Team at Registration & Legality

NAT

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