Vijesti

STUDY: Motor Vehicle Maintenance

Course: Mathematics II

Semester:

Lectures + Exercises:

Total:

ECTS Credits:

II

2

1

45

4

Course Objective: Acquiring the procedures of checking the function flow, definitions of differential equation, vector calculus, matrix, deriving and integrating the functions of several arguments.

Course Contents: INVESTIGATING FUNCTIONS. Increase, decrease and extremes. Concavity and inflection points. Behavior at limits. Drawing a qualitative graph. ADVANCED RULES OF INTEGRATION. Substitution. Partial integration. DIFFERENTIAL EQUATIONS. Definition and significance. Differential equation of exponential growth. Differential equation of harmonic oscillator. Method of separating variables. VECTORS. The definition of vector. Vector addition. Scalar multiplication. Dot product. Cross product. MATRICES. System of linear equations and a matrices. Linear transformations and matrices. Matrix calculus. FUNCTIONS OF SEVERAL ARGUMENTS. Partial derivatives. Gradient. Double integral.

General and Specific Competencies (Knowledge and Skills): Analysis of functions. Solving complex integrals. Understanding differential equations and their solving by separation of variables. Competence for expressing and solving problems by vector and matrix calculi. Solving the system of linear equations. Handling basic terms of functions with several arguments.