Engineering Mathematics (6 cr)

Evaluation scale

0-5

Objective

In this Course, you will learn the calculation and mathematical modeling skills you need in the engineering profession. The sub-area is differential and integral calculus At the end of the course, you • recognize exponential and logarithmic functions • can solve exponential and logarithmic equations and apply them in engineering problems • you know the basic calculations of matrices and know some applications • can use the concepts and notations related to limit value, derivative and integral • can interpret the derivative as a rate of change • can determine the derivative and integral graphically, numerically and symbolically • know how to solve application tasks, the modeling of which requires the use of a derivative or an integral • are able to present and justify logically chosen solutions • you know how to evaluate the reasonableness and correctness of the solutions you make

Content

• exponential and logarithmic function • exponential equation, logarithmic equation • basic matrix concepts and calculations (sum, multiplication by a number, product, determinant, inverse matrix) • solving a group of linear equations with matrices • some matrix applications • the concept of limit value in brief • derivative of the graph • derivative numerically • calculating the derivative using the rules of derivation • higher derivatives (used at the entry level) • some applications of the derivative (e.g. differential and total differential, error estimation and extreme values) • the definite integral graphically • definite integral numerically • calculating the integral function using integration rules • basic theorem of analysis, definite integral symbolically • some applications of the integral (e.g. distance, work, area, center of gravity, average, mean square)