# Mathematics, 12 credits (TNSL01)

Matematik, 12 hp

### Main field of study

No Main Field of Study

First cycle

Programme course

Vivianne Deniz

### Director of studies or equivalent

George Baravdish
Course offered for Semester Period Timetable module Language Campus VOF
6KFTL Air Transportation and Logistics, Bachelor's Programme 1 (Autumn 2017) 0, 1, 2 -, -, - Swedish Norrköping o
6KLOG Civic Logistics, Bachelor's Programme 1 (Autumn 2017) 0, 1, 2 -, -, - Swedish Norrköping o

### Main field of study

No Main Field of Study

First cycle

G1X

### Course offered for

• Air Transportation and Logistics, Bachelor's Programme
• Civic Logistics, Bachelor's Programme

### 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.

### Intended learning outcomes

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.

### Course content

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.

### Teaching and working methods

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.

### Examination

 TEN1 Written examination, part 1 U, 3, 4, 5 5 credits TEN2 Written examination, part 2 U, 3, 4, 5 5 credits UPG1 Oral and written examination part 1 U, G 1 credits UPG2 Oral and written examination part 2 U, G 1 credits

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

### Department

Institutionen för teknik och naturvetenskap

George Baravdish

Vivianne Deniz

### Education components

Preliminary scheduled hours: 140 h
Recommended self-study hours: 180 h

### Course literature

##### Books
ITN Norrköping, Övningsuppgifter del 1ITN Norrköping, Övningsuppgifter del 2Månsson, Jonas, Nordbeck, Patrik, (2011) Endimensionell analys
ISBN: 9789144056104
Lund : Studentlitteratur, 2011

### Books

Månsson, Jonas, Nordbeck, Patrik, (2011) Endimensionell analys

ISBN: 9789144056104

Lund : Studentlitteratur, 2011