Matematiikan peruskurssi A (MATLY0111), 5 op

Basic information

Course name:	Matematiikan peruskurssi A Basic Course in Mathematics A
Course Winha code:	MATLY0111
Kurre acronym:	MatPkA
Credits:	5
Type and level of course:	Basic studies
Year of study, semester or study period:	1.year
Implementation:	Autumn semester, 1.period, 2.period
Semester:	0607
Language of tuition:	Suomi
Teacher:	Veli-Matti Taavitsainen tai Jorma Vilska
Final assessment:	Grading scale (0-5)

Descriptions

Prerequisites

Either secondary school (ninth grade) mathematics and Preparatory course in mathematics or upper secondary school mathematics (advanced course level)

Course contents (core content level)

Simplifying mathematical expressions and solving typical equations in engineering sciences. Plotting functions and simple transformations of them. Applications of exponential and logarithmic functions in microbiology and solving such equations. Elementary matrix algebra and solving systems of linear equations. Applications of systems of linear equations and matrix. algebra in chemistry and physics.

Plane vectors and their applications, e.g. in geometrical and physical problems. Space vectors and their applications, straight line and plane in 3-dimensional spaces and their applications in chemical engineering.

The concept of a function, composite function and inverse function. Examples of functions and plots of functions that are common in chemical engineering.

Using Excel in plotting functions and in solving equations and systems of equations.

Course contents (additional)

Overdetermined and underdermined systems of linear equations and their applications in stoichiometry. Introduction to linear programming. Multidimensional vectors and their interpretations in chemical engineering. Mathematical software (e.g. Matlab, Maple, Maxima, Octave).

Core content level learning outcomes (knowledge and understanding)

The student knows the basic methods of simplification and solving equations. The student knows the most important applications of exponential and logarithmic function in his/hers field. The student recognizes the plots of the most common functions in chemical engineering. The student is aware of different methods of solving systems of linear equations. The student knows how to apply vectors, straight lines and planes.

Core content level learning outcomes (skills)

The student is able to visualize with pen and paper the most common functions in chemical engineering. The student is able to simplify mathematical expressions and to solve simple equations and systems of equations. The student is able to use vectors in various applications, e.g. in physics. The student can plot functions, solve equations and systems of equations using Excel.

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.

Related competences of the degree programme

Theoretical basis and mathematical and science skills