| TNIU19 |
Foundation Course in Mathematics, 6 ECTS credits.
/Matematisk grundkurs/
For:
BI
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Prel. scheduled
hours: 82
Rec. self-study hours: 78
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
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Advancement level
(G1, G2, A): G1
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Aim:
The course aims to give students a positive start to their engineering university studies, they will experience a "social class" and also rehearse and develop their mathematical ability for future studies in Calculus I, Calculus II and applications in other courses. Some new mathematical concepts are introduced. An important goal is to develop learning by using different types of work and various forms of examination. This will contribute to improving students
- skills in writing, reading and speaking mathematical language, being able to present solutions of mathematical problems with clear thinking - both written with mathematical symbols, and in oral
- capacity for logical reasoning
- conceptualization and experience to perform the solution controls
- ability to reflect on their learning and giving familiarity with working in a group and where one should see the group as a resource where good cooperation encouraged
After the course the students will be
- able to demonstrate a basic ability to both write, read and speak the mathematical language
- able to show good algebraic numerate with real and complex numbers
- able to use the basic concepts of function theory, as defined quantity, value, quantity and inverse function
- elementary functions properties and use this in problem solving
- able to set up and solve equations and inequalities containing absolute values
�?<�?<
- able to perform calculations using trigonometric functions
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Upper secondary Mathematics courses A to D, or equivalent
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 consists of lectures, seminars and mentoring of teachers. Also mathematics mentors from higher grades are available for support. Sometimes class is divided into groups of about 4 students - in order to develop the oral mathematical language. Much of the work done in groupings.
course is taken during the period HT0 and HT1.
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Course contents:
- Real numbers
- Factors, polynomial
- Equations and inequalities, containing rational expressions and absolute values �?<�?<
- Higher degree polynomial equations with real coefficients
- Functions and graphs
- Straight lines , quadratic functions, exponential and power functions and associated inverses
- Trigonometry and trigonometric functions
- Complex numbers and complex plane
- Euler's formula and the formula Moivres
- Polynomials of a complex variable and complex polynomial equations
The emphasis of the course is handling of algebraic expressions and properties of elementary functions. Solution of data must contain a clear logical way.
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Course literature:
Forsling-Neymark: �?�Matematisk analys, en variabel�?�, Kap 1�?"2 Förlag: Liber AB, ISBN = 9147051884.
Göran Forsling: �?��-vningar i analys i en variabel�?�, Matematiska Institutionen, Linköpings Universitet 2001.
Kompletterande material: �-vningsuppgifter och föreläsningsmaterial (utgivna av kursansvarig)
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Examination: |
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Written test 1
Written test 2
Written test 3
An optional written examination for higher grades
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0 ECTS
0 ECTS
6 ECTS
0 ECTS
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The three approved KTR1-3 give the final grade 3. Written examination is required for higher grades. |
Course language is Swedish.
Department offering the course: ITN.
Director of Studies: George Baravdish
Examiner: Peter Holgersson
Link to the course homepage at the department
Course Syllabus in Swedish
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