LINEAR ALGEBRA
- Complex numbers: The complex plane. Modulus and argument. Polar, rectangular and exponential form.
- Euler´s and de Moivre´s theorems. Binomial equations. Algebraic equations.
- Systems of linear equations. Gauss elimination method.
- Vectors. Linear independent vectors
- Dot product, vector cross product, scalar triple product,
- Equations oflinesin 3D. Equations ofplanesin 3D
- Determinant. Matrices, matrix operations.
- Eigenvalues, eigenvectors.
CALCULUS
- Concepts of function, limits and continuity.
- Elementary functions.
- Differentiation rules.
- Application to graphing, rates, and extremum problems.
- L'Hospital's rule.
- Definite and indefinite integration. Techniques of integration.
- Applications of integration.
- Differential equations: First order ordinary differential equations. Separable differential equations. Linear first-order differential equations.
- Linear higher-order differential equations. Linear differential equations with constant coefficients. Applications.