SPECIAL MATHEMATICS 1

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

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.