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Foundation Course in Mathematics, 6 credits

Matematisk grundkurs, 6 hp

TATA68

The course is disused.

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Director of studies or equivalent

Jesper Thorén

Education components

Preliminary scheduled hours: 78 h
Recommended self-study hours: 82 h

Possible deviation from course syllabus/programme syllabus

ECV = Elective / Compulsory / Voluntary

Course offered for		Semester	Period	Timetable module	Language	Campus	ECV
6CKEB	Chemical Biology, M Sc in Engineering	1 (Autumn 2017)	0, 1	-, 3	Swedish	Linköping, Valla	C
6CTBI	Engineering Biology, M Sc in Engineering	1 (Autumn 2017)	0, 1	-, 3	Swedish	Linköping, Valla	C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

Chemical Biology, M Sc in Engineering
Engineering Biology, M Sc in Engineering

Specific information

This course cannot be included in the same degree as the course TATM79.

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Admission to the course requires, as well as general university entrance requirements, secondary school mathematics E (or equivalent).

Intended learning outcomes

It is important that you acquire general mathematical accuracy and a stable foundation for your continued studies. After the course is completed you should be able to:

read and comprehend mathematical texts.
perform standard calculations with accuracy.
handle calculations with algebraic expressions, inequalities and absolute values.
solve polynomial equations and equations containing square roots.
analyze how the concepts domain, range, injectivity and composition relate to particular functions.
define and draw the graphs of the elementary functions: the natural logarithm, exponential-, power-, trigonometric- and inverse trigonometric functions.
use and prove laws and formulas for the elementary functions.
work with complex numbers in cartesian and polar form.
define the complex exponential function and use and prove Euler's and deMoivre's formulas.
solve problems concerning straight lines and circles in the plane.
perform logical arguments
work with geometric and arithmetic sums.
check results and partial results in order to verify their correctness or reasonableness.

Course content

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, arcus functions. The Euler formulas. Basic principles of logic. Different types of proof techniques. Coordinate systems in the plane. Polar coordinates. Lines and circles. The complex plane. Complex numbers in polar form. Inverse trigonometric functions.

Teaching and working methods

Problem classes, tutorials, and a few lectures.

Examination

UPG1	Hand-in assignments	1.5 credits	U, G
TEN3	Written examination	4.5 credits	U, 3, 4, 5
TEN2	Written examination	3 credits	U, 3, 4, 5
TEN1	Written examination	1.5 credits	U, 3, 4, 5

It is possible to take either the smaller exams TEN1 and TEN2 or the larger TEN3. Grades are given on the total result on TEN1 and TEN2 or the result on TEN3. It is only possible to try to improve your grade on TEN3.

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Matematiska institutionen

Director of Studies or equivalent

Jesper Thorén

Course website and other links

http://courses.mai.liu.se/Lists/html/index-amne-tm.html

Education components

Preliminary scheduled hours: 78 h
Recommended self-study hours: 82 h

Course literature

Additional literature

Books

G. Forsling, M. Neymark, Matematisk analys, en variabel.

Compendia

Code	Name	Scope	Grading scale
UPG1	Hand-in assignments	1.5 credits	U, G
TEN3	Written examination	4.5 credits	U, 3, 4, 5
TEN2	Written examination	3 credits	U, 3, 4, 5
TEN1	Written examination	1.5 credits	U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Course literature is preliminary.

Additional literature

Books

G. Forsling, M. Neymark, Matematisk analys, en variabel.

Compendia

Download

Download course literature list as PDF

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize

		I	U	A	Modules
1. DISCIPLINARY KNOWLEDGE AND REASONING
	1.1 Knowledge of underlying mathematics and science (G1X level)	X	X	X	TEN1 TEN2 TEN3
	1.2 Fundamental engineering knowledge (G1X level)
	1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
	1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)
	1.5 Insight into current research and development work
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
	2.1 Analytical reasoning and problem solving	X	X	X	TEN1 TEN2 TEN3
	2.2 Experimentation, investigation, and knowledge discovery		X	X	TEN1 TEN2 TEN3
	2.3 System thinking
	2.4 Attitudes, thought, and learning		X	X	TEN1 TEN2 TEN3
	2.5 Ethics, equity, and other responsibilities
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
	3.1 Teamwork
	3.2 Communications	X	X	X	UPG1
	3.3 Communication in foreign languages
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
	4.1 External, societal, and environmental context
	4.2 Enterprise and business context
	4.3 Conceiving, system engineering and management
	4.4 Designing
	4.5 Implementing
	4.6 Operating
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
	5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development
	5.2 Economic conditions for knowledge development
	5.3 Identification of needs, structuring and planning of research or development projects
	5.4 Execution of research or development projects
	5.5 Presentation and evaluation of research or development projects

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