NMAA02 Mathematics, A 2007

Study Guide@lith

Valid for year : 2007

NMAA02	Mathematics, A, 6 ECTS credits. /Matematik/ For: Bio Kem
	Prel. scheduled hours: 60 Rec. self-study hours: 100
	Area of Education: Science Subject area: Mathematics
	Advancement level (G1, G2, A): G1
	Aim: That you as a student will learn to feel confident with the mathematical expressions, reasoning and relations which are basic to scientific and technical subjects. After a completed course you should be able to: Read and interpret mathematical texts Explain definitions and expressions like local extremes, limits, continuity, derivatives, primitive functions and integrals Explain and use central theorems like The Fundamental Theorem of Calculus, Mean-Value Theorems, The Intermediate-Value Theorem and The Max-Min Theorem. Use mathematical laws for limits of functions, derivatives, antiderivatives and integrals. Perform investigations of functions using derivatives, limits and the properties of basic functions and from this draw conclusions regarding the properties of the functions Use standard techniques to calculate antiderivatives and definite integrals. Handle differential equations (first-order separable and first-order linear equations.) Use Taylorexpansions to approximate functions and investigate limits. Perform checks of results and calculations to verify that they are correct and reasonable.
	Prerequisites: (valid for students admitted to programmes within which the course is offered) Lycée mathematics (natural sciences or technical programmes) 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: Teaching is done in lectures and problem classes. Theory is followed up by problem-solving by the lecturer. The examination consists of a written test.
	Course contents: Equations and systems of equations. Geometric and arithmetic series. Inequalities. Exponential functions and logarithms. Trigonometric functions. Derivative and the study of functions.Functions of a real variable. Polynomials. Elementary functions. Sequences, limits. Derivatives and continuity. Rules for differentiation. Properties of continuous functions. Study of functions. Numerical solution of equations. Antiderivatives. Integration and geometrical applications, including area. Improper integrals and numerical series. Taylor's formula. Maclaurin expansions of elementary functions with applications to the calculation of limits. Linear ordinary differential equations of first order, separable equations.
	Course literature: Forsling, G. och Neymark, M.: Matematisk analys, en variabel. Liber 2005.
	Examination:
	Written examination	4 p	/	6 ECTS


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

Linköping Institute of Technology
Contact: TFK , val@tfk.liu.se Last updated: 06/12/2007