TNA001 
Foundation Course in Mathematics, 6 ECTS credits.
/Matematisk grundkurs/
For:
ED
KTS
MT


Prel. scheduled
hours: 36
Rec. selfstudy hours: 124


Area of Education: Science
Subject area: Mathematics


Advancement level
(G1, G2, A): G1


Aim:
The course shall give the student a positive start of the university studies, both in getting good relations with other students and in refreshing former mathematics. Further more some new mathematical concepts will be introduced. An important aim is to systematically give opportunities to improve some important skills by using various teaching procedures and several examination forms. This is aimed to improve the ability in reflecting about how the student herself /himself learns and in developing how to work with other students in a group, which shall be seen as a resource where good cooperation will be encouraged.
After a completed course, the student should be able to:
 read and interpret mathematical text
 use calculation rules for real and complex numbers
 use basic properties for real functions such as domain and range, composite functions, inverses
 quote and use properties of elementary functions
 solve equations and inequalities
 quote and use properties for arithmetic and geometric sequences and sums and the binomial theorem
 explain and use the principle for mathematical induction
 use basic definitions and ideas in vector geometry and use equations for lines and planes, solve linear systems of equations
 quote some central definitions, theorems and carry out some proofs.


Prerequisites: (valid for students admitted to programmes within which the course is offered)
Admission to the course requires, as well as general university entrance requirements, secondary school mathematics E (or equivalent).
Note: Admission requirements for nonprogramme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.


Organisation:
Problem classes, tutorials, and a few lectures.


Course contents:
Algebraic expessions, inequalities, modulus, complex numbers. Solving equations. Functions and graphs. Definitions and properties of the elementary functions: natural logarithm, exponential function, power function, trigonometric functions and complex exponential function. The Euler formulas. Basic principles of logic. Different types of proof techniques. Vectors and coordinate systems in the plane. Polar coordinates. Lines and circles. The complex plane. Complex numbers in polar form.


Course literature:
Material published by the Department of Mathematics.


Examination: 

Written examination Handin assignments and oral presentations. 
3 p 1 p

/ /

4,5 ECTS 1,5 ECTS




Course language is Swedish.
Department offering the course: ITN.
Director of Studies: George Baravdish
Examiner: Sixten Nilsson
