Course content

Mathematical Laboratory for Engineers

Code:

143192

Abbreviation:

B12B04

Higher education institution:

Faculty of Geodesy

ECTS credits:

1.0

Load:

15(E)

Issuing teachers:

Senior Lecturer Željka Tutek, MSc

Course contractors:

Senior Lecturer Željka Tutek, MSc (E)

Course description:

The objectives of this course are: <ul><li>Acquire the skills of independent use of mathematical software system (e.g. free open source Sage or similar) for tasks that require symbolic and/or numerical computatio, <li>Solving of problems in the computer laboratory to support the teaching of mathematical courses (Vector Analysis and Differential Geometry).</ul> Learning outcomes at the level of the programme to which the course contributes <ul><li>To use information technology in solving geodetic and geoinformation tasks. <li>To make conclusions on the basis of performed computational processing and interpretation of surveying data and obtained results. <li>To understand the mathematical methods and physical laws applied in geodesy and geoinformatics. <li>To apply the knowledge in mathematics and physics for the purpose of recognizing, formulating and solving problems in the field of geodesy and geoinformatics.</ul> Learning outcomes expected at the level of the course <ul><li>Use of a mathematical software system for calculating partial derivatives, Jacobi and Hesse matrix. <li>Use of a mathematical software system for plotting vector functions. <li>Use of a mathematical software system for calculating the gradient, divergence and directed derivatives. <li>Use of a mathematical software system for the computation of multiple integrals. <li>Use of a mathematical software system for calculating the curve integral. <li>Use of a mathematical software system for drawing graphs of parametric curves and surfaces. <li>Use of a mathematical software system for drawing functions default polar, cylindrical and spherical coordinates.</ul> Course content broken down in detail by weekly class schedule (syllabus) Schedule of the exercise on the computer <ul><li>1.-2. Elements of working with a mathematical software system (e.g. Sage). <li>3. Calculation of partial derivatives, Jacobi and Hesse matrix. <li>4. Drawing the graph of vector functions. <li>5. Calculations of the gradient, divergence and directed derivatives. <li>6. Computation of multiple integrals. <li>7. Computation of line integrals. <li>8.-9. Drawing the graphs of parametric curve in space. <li>10.-11. Drawing the graphs of parametric surfaces. <li>12. Drawing the functions given in polar coordinates. <li>13. -14. Drawing the functions given in cylindrical and spherical coordinates.</ul> Screening student work <ul><li>Class attendance - 50% <li>Homework - 50%</ul>

Mandatory literature:

1. Sage standard documentation, http://www.sagemath.org/

Recommended literature:

2. A. Casamayou, N. Cohen, G. Connan, T. Dumont, L. Fousse, F. Maltey, M. Meulien, M. Mezzarobba, C. Pernet, N. M. Thiéry, P. Zimmermann : Calcul mathématique avec Sage, 2013. (ISBN: 9781481191043)

Course in study programme:

Code	Name of study	Level of study	Semester	Required/Elective
71	Geodesy and Geoinformatics	undergraduate	2	elective

* the course is not taught in that semester

Legend

E - Exercises