Fundamentals of mathematics for engineering

Units of measurement: SI system, conversion from other systems, prefixes for creating smaller/larger units. Functions: standard functions. trigonometric and exponential. Applications: wave movements, sound, thermodynamic curves. Analysis: Differentiation, character of functions, Applications: analysis of experimental curves. Integrating. Applications: integral as a sum for calculating work under the action of a force. Vector algebra: coordinate systems, rectangular-polar conversions, Application: movement and positioning of robots. Basic operations with vectors in two and three dimensions, Applications: simple geometry, calculation of forces. Scalar product, vector product. Applications: calculation of work and energy. Simple vector analysis: Applications: acceleration, displacement. Linear algebra: linear algebraic equations, Gaussian elimination, numerical methods in linear algebra. Applications: electrical networks, heat transfer.

 

Objective of the course

introduce first-year students to the simplicity of mathematics and its ability to clearly describe engineering problems help change the perception that mathematics is purely abstract and highlight its importance for engineering help students develop problem-solving skills by applying mathematics to engineering develop problem-solving skills in a rigorous, rational and clear way help students self-assess and fill in the gaps in their previous math education

Competencies (Learning Outcomes)

Upon successful completion of the course, students will be able to: demonstrate an awareness of the importance of mathematics in a wide range of subjects, particularly including mechanics and computer engineering demonstrate the ability to use mathematical terminology as part of analyzing and solving technical problems demonstrate the ability to select and apply the correct mathematical method to simple problems of mechanics and engineering applications