#### SPECIAL MATHEMATICS 1

###### Domain: Geodetic engineering • Field of study: Earth and cadastral measurements
 Type of course: Elective (1 of 3) Language of instruction: English Erasmus Language of instruction: English Name of lecturer: Ioan Lucian Popa Seminar tutor: Ioan Lucian Popa Form of education Full-time
 Form of instruction: Class / Seminary Number of teaching hours per semester: 42 Number of teaching hours per week: 3 Semester: Autumn Form of receiving a credit for a course: Grade Number of ECTS credits allocated 4

#### Course aims:

The overall objective of this discipline is to strengthen the concepts of trigonometry and algebra studied in high school, including at the same time, elements of algebra required higher education and other objects.
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#### Course contents:

1. Units of measurement angles and arcs 2. Trigonometric functions sine and cosine. Graphics, accurate values of their properties 3. Tangent and cotangent functions. Formula for cos (a-b) cos (a + b) sin (a-b) sin (a + b) and formulas derived from them 4. Inverse trigonometric functions 5. Trigonometric equations 6. Sinus and cosines theorems 7. Area of the triangle using different formulas. The flat faces of different areas 8. Vectors, algebraic properties 9. The dot product, vector product 10. Polar coordinates and Cartesian coordonates 11. Complex numbers. Geometric representation of complex numbers. Module of a complex number 12. Operations with complex numbers in trigonometric form 13. The n root of a complex number. De Moivre's Theorem 14. Solve quadratic equations and three with complex coefficients

#### Teaching methods:

Lecture, discussion, exemplification.

#### Learning outcomes:

In order to obtain credits for this discipline the students have to: - Know the basic concepts related to measurement units and conversion of degrees angles in radian. - know how to deal with trigonometric functions, their inverses and solve elementary trigonometric equations - compute Scalar and vector product compute. - Operate with complex numbers in trigonometric form and solve quadratic equations of degree two and three with complex coefficients.

#### Learning outcomes verification and assessment criteria:

Final evaluation – 50%; continuous assessment – 50%.