MATH 102 – Mathematics II; Weekly hours: 2+1, ECTS: 5
The objectives of the course are to give students knowledge related to improper integrals, infinite sequences and series, partial differentiation, extremum points of multivariable function, double integrals, complex numbers and their applications in engineering. The curriculum includes the following themes: Improper Integrals, Convergence Tests for Improper Integrals, Infinite Sequences and Series, Convergence Tests for Series, Power Series, Taylor and MacLaurin Series, Limits and Continuity of Two Variable Functions, Partial Derivatives, Tangent planes, Linear Approximations, Chain Rule, Implicit Differentiation, Directional Derivatives and Gradient Vector, Extremum Points of Multivariable function,  Double Integrals, Applications of  Double Integrals, Triple Integrals. Complex Numbers, Polar Form of a Complex Number, Exponential Form of a Complex Number.  Operations With Complex Numbers.