Matematiikan peruskurssi A (MATLT0111), 5 op

Basic information

Course name:	Matematiikan peruskurssi A Basic course in mathematics A
Course Winha code:	MATLT0111
Kurre acronym:	MatpkA
Credits:	5
Type and level of course:	Basic studies
Year of study, semester or study period:	1.year
Implementation:	1.period, 2.period
Semester:	0708
Language of tuition:	Suomi
Teacher:	Birgitta Nenonen-Andersson
Final assessment:	Grading scale (0-5)

Descriptions

Prerequisites

Preparatory course in mathematics (MATLT0052) or upper secondary school mathematics (advanced course level)

Course contents (core content level)

Simplifying mathematical expressions
Solving equations and linear systems of equations
Matrix algebra: basics, matrix product, inverse matrix, solving systems of linear equations with matrix-algebra
Vectors in 2- and 3-D: dot product and cross product.
Function and its graph
Common functions and their graphs
Inverse function
Trigonometric functions and trigonometric equations
Complex numbers and their different forms
Aforementioned mathematical concepts applied to information technology
Matlab or other mathematical software

Course contents (additional)

Graphical methods for solving equations and linear systems of equations
Overdetermined and underdetermined systems of linear equations
Linear programming - an introduction
Findinng the iinverse matrix
Analytical geometry
Further explorations to and applications of the aforementioned topics

Core content level learning outcomes (knowledge and understanding)

The student is familiar with rules of simplification. He knows different methods of solving equations and systems of equations. The student knows the basics of vector calculus, matrices and complex numbers. He knows what a function is and how the common functions behave.

Core content level learning outcomes (skills)

The student knows how to solve and also how to form equations and systems of equations.
The student is able to visualize with pen and paper the most common functions in information technology and their scaling and translation. The student knows how to calculate with vectors, matrices and complex numbers.

Teaching and learning strategies

Class room teaching: 56 h
Computer labs: 14 h
Exams: 5h
Student individual workload (workload analysis not carried out): 58 h
Total: 133 h
Follow-up of the student workload analysis performed: -

Teaching methods and student workload

Assessment weighting and grading

Two exams (minimum 40% of the maximum score), approval of the computer labs, approval of a test about basic simplifications and solving equations (minimum 70% of the maximum score).

Related competences of the degree programme

Theoretical basis and mathematical and science skills