Matematiikan peruskurssi A (MATLV0111), 5 op
Basic information
Course name: | Matematiikan peruskurssi A Basic course in mathematics A |
Course Winha code: | MATLV0111 |
Kurre acronym: | Matem. pk. A |
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: | H-L Merenti-Välimäki |
Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
Either secondary school (ninth grade) mathematics and Preparatory course (MATLV0052) 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. The concept of a function, composite function and inverse function. Plotting functions and simple transformations of them. Coordinate system, straight line, parabola and other basic functions. Trigonometric functions, rectangular triangle, and trigonometric equations in solving angles of triangles. Exponential and logarithmic functions and basic related equations. The basics of matrix?, determinants, and applications. 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 media-engineering.
Course contents (additional)
Basic geometric rules and operations in 2D and 3D. Gauss? elimination, Cramer?s rule. Solving more complicated trigonometric, exponential, and logarithmic equations. Using letters and symbols of complex numbers. The student should become familiar with mathematical software e.g. Maple.
Core content level learning outcomes (knowledge and understanding)
The student knows the basic methods of simplification and solving equations. He/she recognizes the plots of the most common functions in media -engineering. The student knows how to apply vectors, straight lines and planes. He/she is able to use artificial intelligence in solving mathematical and technical problems. The student also understands the rules of mathematical visualization.
Core content level learning outcomes (skills)
The student is able to visualize with pen and paper the most common functions in media-engineering. The student is familiar with simplifying mathematical expressions and to solve simple equations and systems of equations. He/she is able to use vectors in various applications. The student can e.g. plot functions and solve equations with Maple.
Recommended reading
Launonen, Sorvali, Toivonen, Teknillisten aineiden matematiikka 3Y
Henttonen, Peltomäki, Uusitalo, Tekniikan matematiikka 1-2, Edita 2003
Tekniikan kaavasto (Tammertekniikka)
Teaching and learning strategies
Class room teaching: 56 h
Computer labs: 14 h
Exams: 4h
Student individual workload (workload analysis not carried out),
total: 134 h
Follow-up of the student workload analysis performed: -
Tuition in Finnish.
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).