| TNSL01 |
Mathematics, 12 ECTS credits.
/Matematik/
For:
FT
SL
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Prel. scheduled
hours: 140
Rec. self-study hours: 180
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Area of Education: Science
Main field of studies: Other subjects
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Advancement level
(G1, G2, A): G1
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Aim:
The cours aim is to give elementary education in mathematic, where the goal is to give you as a student a stabile ground for university education. You should as a student be familiar with mathematical concepts, conversation and connection in the course, as a platform for other courses on the program. After completion of the course, the student should be able to read and interpret mathematical text and,
- handel simple algebraic expression with real and complex numbers.
- set up and solve equations, linear systems of equations and inequalities.
- studies the elementary functions with derivates, limits to draw conclusions regarding the properties of the functions.
- explain and use calculus rules / definition for power, logarithm, limits, derivative, antiderivative, integrals and complex number.
- use unit circle to defined trigonometric identities, solve trigonometric equation and graphing trigonometric functions.
- use standard techniques to calculate antiderivatives and definite integrals.
- handle differential equations of first and second order.
- use Taylorexpansions to approximate functions.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
See ruels for admission to the Civic Logistics at Linköpings university.
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.
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Organisation:
Teaching is done in lectures, problem classes and seminars. The examination consists of two written test and hand-in assignments.
The course runs over the entire autumn semester.
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Course contents:
Algebraic expressions, calculation rules for real and complex numbers. Definitions and properties of the elementary functions. Geometry and trigonometry. Limits and derivatives. Antiderivatives and integrals. Complex numbers and absolute value. Differential equations of first and second order. Taylors and Maclaurins formal.
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Course literature:
Endimensionell analys, J Månsson och P Nordbeck, Studentlitteratur Lund.
�-vningsuppgifter del 1, ITN Norrköping
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�-vningsuppgifter del 2, ITN Norrköping
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Examination: |
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Written examination, part 1
Written examination, part 2
Oral/written assignments, part 1
Oral/written assignments, part 2
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5 ECTS
5 ECTS
1 ECTS
1 ECTS
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Course language is Swedish.
Department offering the course: ITN.
Director of Studies: George Baravdish
Examiner: Vivianne Deniz
Link to the course homepage at the department
Course Syllabus in Swedish
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