Functions of a real variable. |
Limits of real functions of real variable. Continuity of real functions of real variable. Theorems related to global continuity. Derivative of a function at a point. L'Hôpital's rule. Rolle and mean value theorems. Higher order derivatives and relative extremes. Concavity and convexity. |
Matrix calculus. |
Matrices. Determinant of a square matrix. Systems of linear equations. Eigenvalues of a square matrix. Quadratic forms. |
Optimization. |
Concave and convex functions. Unrestricted optimization. Optimization with equality constraints. |