Mathematical Methods of Construction Technology (3cr)

Objective

Learning competence
After completing the course, students will be able to perform calculations with two- and three-dimensional vectors, use vectors to solve problems in plane and solid geometry, perform basic matrix calculations, apply conventional practical applications related to differential and integral calculus, be able to use calculation tools, and be able to apply the above-mentioned skills to professional subjects and practical problems in working life.

Working community competence
Students are able to present the stages of mathematical problem solving orally and in writing and also via online and virtual communication. Students are able to function in various groups and teams and to manage teams, which seek solutions for linear algebraic problems.

Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.

Content

Vectors
- sum and difference of vectors
- unit vector
- dot product
- cross product
- scalar and vector components
- vector applications in statics: resultant, moment

Matrices
- matrix algebra
- matrix inverse
- determinants
- eigenvalues and eigenvectors

Differential and integral calculus
- structural engineering applications of derivatives and integrals

Qualifications

Algebra in Construction Engineering, Geometry in Construction Engineering, Statics, Strength of Materials, Mathematical Analysis

Assessment criteria, satisfactory (1)

Students are able to calculate sums and moments using the methods of vector calculus. They master the basic rules of matrix calculus and are also able to use their graphical calculator to solve vector and matrix problems in an efficient way. They are able to solve practical problems in construction engineering using derivatives and integrals.

Assessment criteria, good (3)

Students are able to apply methods of vector calculus in 3D vector problems. They are able to utilize methods of matrix calculus in applications of different types in the spreadsheet environment. They are able to solve the beam's differential equation in various load situations.

Assessment criteria, excellent (5)

Students know how to apply vector, matrix, differential, and integral calculus methods to non-standard problems. If necessary, students are also able to obtain additional information on the subject from various sources.

Materials

- Tekniikan Kaavasto, Tammertekniikka
- Rakentajain kalenteri tai Mestarin taulukot
- material distributed by the teacher