Mathematics II

Course Description

Course contents: Vectors, Matrices and Linear Systems, Dimension, Rank and Linear Transformations, The Vector Space Rn, Determinants, Eigenvalues and Eigenvectors, Orthogonality, Change Basis, Solving Large Linear Systems. Implicit Functions, the Implicit Function Theorem, Introduction to Differential Equations, Modeling with Differential Equations, First Order Differential Equations, Higher Order Differential Equations, Solutions of Second Order Linear Homogeneous Differential Equations with Constant Coefficients, Solutions of Second Order Linear Nonhomogeneous Differential Equations with Constant Coefficients, Applications of Higher Order Differential Equations. Difference Equations, Calculus of Functions with Multiple Variables, Partial Derivatives, Differentiability, Extreme Values of Functions, Optimization Functions Constrained Optimization, the Method of Lagrange Multipliers.

Learning Outcomes

Upon completion of this course, students will be able:

• to describe Management and Economics linear and non-linear models.
• to choose the proper mathematical methods and proper mathematical tools to handle the models.
• to apply linear algebra techniques to solving mathematical models.
• to produce solutions in real-world applications
• to compare non-linear approaches with linear approaches
• to evaluate the solutions provided by the application of Linear Algebra techniques.