BML130 Mathematics for Foundation Year 2009

Study Guide@lith

Valid for year : 2009

BML130	Mathematics for Foundation Year, 19,5 ECTS credits. /Matematik för tekniskt/naturvetenskapligt basår/ For: Bas
	Prel. scheduled hours: 170 Rec. self-study hours: 350
	Area of Education: Science Subject area: Mathematics
	Advancement level (G1, G2, A): 0
	Aim: The aim of the course is to give a foundation in mathematics that is suitable for further university studies in mathematics. After completing the course the student should be able to perform algebraic calulations with good accuracy use the unit circle to define and prove trigonometric concepts and formulas, use trigonometric formulas to rewrite trigonometric expressions and solve trigonometric equations use radians, use similarity to calculate the sides and angles of triangles and draw the graphs of the trigonometric functions use the concepts difference qutient and derivative and know the different systems of notation for first and second order derivatives differentiate the product and quotient of functions and composite functions determine intervals where a function is increasing or decreasing, calculate local and global extreme values calculate equations for tangent and normal lines solve equations with exponentials and logarithms explain how the set of real numbers can be expanded to the set of complex numbers perform calculations with complex numbers in cartesian and polar form perform division of polunomials and use the factor theorem solve polynomial equations having real as well as complex roots and use de Moivres formula solve simple systems of equations solve inequalities and square-root equtions solve equations with absolute values both algebraicly and geometrically deal with the equation of a circle calcualte primitive functions formulate and use integrals in applications, e.g. to calculate areas and volumes understand the concept of differential equation and be able to determine if a function solves a given differential equation determine the general solution of simple differential equations produce and present written solutions of mathematical problems
	Prerequisites: (valid for students admitted to programmes within which the course is offered) See rules for admisson to the Foundation Year at Linköpings universitet. Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
	Organisation: The couse contains three parts. The teaching take place in groups of 30 students. Some seminars where the student account for each other appears. The students homework, initiativ and activity is of great importance.
	Course contents: Algebra, equations, simplifying expressions. Komplex numbers, polynomials, geometry and trigonomtry. Elementary functions, derivatives, graphs and extrem values. Primitive functions and integrals with applications. Differential equations with applications.
	Course literature: Björup, Körner m.fl.: Nya Delta kurs AB, C, D och E (4 delar). Gleerups förlag.
	Examination:
	A written examination on part 1 A written examination on part 2 A written examination on part 3 Homework on part 1 Homework on part 2 Homework on part 3	6 ECTS 4,5 ECTS 4,5 ECTS 1,5 ECTS 1,5 ECTS 1,5 ECTS


Course language is Swedish. Department offering the course: MAI. Director of Studies: Göran Forsling Examiner: Gunilla Krysander Link to the course homepage at the department Course Syllabus in Swedish

Linköping Institute of Technology
Contact: TFK , val@tfk.liu.se Last updated: 06/02/2009