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
Assessment: 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.
The course is co-read with MM558 from week 43.
Entry requirements
Academic preconditions
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.
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
Examination regulations
Exam element a)
Timing
Autumn
Tests
Mandatory assignment
EKA
N300004102
Assessment
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
Assessment
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
Teaching Method
Activities during the study phase:
- preparation of exercises in study groups
- critical discussion of the concepts presented during the lectures.