Print Course syllabus
Course syllabus - Mathematical Modeling with Analysis
Scope
7.5 credits
Course code
MMA016
Valid from
Autumn semester 2013
Education level
First cycle
Progressive Specialisation
G1N (First cycle, has only upper-secondary level entry requirements).
Main area(s)
Mathematics/Applied Mathematics
School
School of Education, Culture and Communication
Ratified
2013-02-01
Status
This syllabus is not current and will not be given any more
Literature lists
Course literature is preliminary up to 8 weeks before course start. Course literature can be valid over several semesters.
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Books
Calculus : early transcendentals
7th ed. : Pacific Grove, Calif : Brooks/Cole, 2012. - XXVIII, 1170, 146 p.
ISBN: 0-538-49887-0 (hbk) LIBRIS-ID: 12448003
Objectives
The course is for prospective teachers in secondary schools. The course gives basic knowledge in analysis and gives insight into how this knowledge can be applied in mathematical modelling and in solving problems.
Course content
The concept of function with its properties, functional algebra, combined functions and inverse functions.
Some important functions: polynomial functions, power functions, exponential functions, logarithmic functions and trigonometric functions.
The concepts of limiting values, continuity, derivatives and integrals.
Some simple applications: the study of curves, optimization, related rates, the calculation of areas, simple differential equations.
Introduction to the mathematical software MAPLE.
Tuition
Classroom lessons, exercises and group work.
Requirements
Mathematics D or Mathematics 4.
Examination
Written and oral reports of exercises (INL1), 4.5 credits, marks Pass (G)
Written and/or oral examination (TEN1), 3 credits, marks Pass (G) or Pass with distinction (VG)
A student who has a certificate from MDU regarding a disability has the opportunity to submit a request for supportive measures during written examinations or other forms of examination, in accordance with the Rules and Regulations for Examinations at First-cycle and Second-cycle Level at Mälardalen University (2020/1655). It is the examiner who takes decisions on any supportive measures, based on what kind of certificate is issued, and in that case which measures are to be applied.
Suspicions of attempting to deceive in examinations (cheating) are reported to the Vice-Chancellor, in accordance with the Higher Education Ordinance, and are examined by the University’s Disciplinary Board. If the Disciplinary Board considers the student to be guilty of a disciplinary offence, the Board will take a decision on disciplinary action, which will be a warning or suspension.
Grade
Pass with distinction, Pass, Fail