MATH 252 Analysis

Continuos Functions. Uniform Continuity. Sequences and Series of Functions. Pointwise and Uniform Convergence. Bolzano-Wieirstrass Theorem. Riemann Integrability. Fuctions of Several Variables. Limits and Continuity. Derivatives of Composite Fuctions. Jacobian Matrix. Implicit Functions and Implicit Function Theorems. Maxima and Minima of Functions of Several Variables. Lagrange Multipliers Method. Construction of the Lebesque Measure. Measure Spaces. Measurable Functions. Simple functions Integration. Comparison with the Riemann Integral.