| BML301 |
Mathematics 3C for Foundation Year, 10 ECTS credits.
/Matematik 3C för basår/
For:
Bas
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Prel. scheduled
hours: 80
Rec. self-study hours: 187
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Area of Education: Science
Main field of studies: Other subjects
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Advancement level
(G1, G2, A): 0
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Aim:
The aim of the course is to provide a basic training in mathematics and prepare students for university studies in mathematics. Completion of this course qualifies the corresponding Mathematics 3C.
After the course students should be able to
perform algebraic computations with real numbers
solve equations, inequalities and systems of equations
comprehend the concept of functions and conduct functional studies
understand and apply the concept of derivative
determine primitive functions and perform simple integral calculations with applications
apply trigonometric relationships with the unit circle and use the theorems of triangle for an arbitrary triangle
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
See admission requirements för 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.
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Organisation:
The course is given in the form of lectures and tutorials. Concepts and theories of mathematics are presented in the lectures. Students actively work under teacher's guidance in the tutorials.
The examination consists of a written examination (written examination) at the end and continuous assessment (assignments and written test) throughout the course.
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Course contents:
Number systems, coordinate systems in the plane, algebraic expressions and operations, equations, systems of linear equations and inequalities, root equations, equations of straight lines, parabolas and circles, polynomial, polynomial equations and factor theorem, plane and solid geometry, the concept of functions, polynomial, power and exponential functions, exponentiation and logarithms, limits, rate of change and the derivative, differentiation of polynomial, power and exponential functions with applications, tangent and normal equations, analysis of the fundamental functions, determining the extreme values and sketching graph of a function, the unit circle, trigonometric concepts and angles in right triangles, theorems of triangle, primitive functions and integrals with applications.
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Course literature:
Alfredsson m.fl., Matematik 5000 kurs 3c Basåret lärobok, Natur och Kultur, Stockholm.
Supplementary material.
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Examination: |
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Written examination
Optional written test
Assignments
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8 ECTS
0 ECTS
2 ECTS
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Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Jesper Thorén
Examiner: Micaela Bergfors
Link to the course homepage at the department
Course Syllabus in Swedish
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