School of Science - Department of Mathematics

0301414Mathematical Analysis

• Course Description :Liminf and limsup of sequences of real numbers. Series of real numbers: the algebraicproperties and convergence. Review of tests of convergence. Advanced tests of convergence. Infinite product and its relation to infinite series. Sequences of functions. Uniform convergence. Uniform convergence and integrabilty on [a,b]. Series of functions: definition and basic properties. Pointwise and uniform convergence of series of functions. Weierstrass M-test. Uniformly convergent series of continuous functions. The space C[a,b]: definition, metric and algebraic properties. The Weierstrass approximation theorem. Improper integral.
• Pre Request : 0301313
• Credit Hour :3
• Department : Mathematics
• Program :
• Course Level :Bachelor
• Course Outline :

  0301414 Syllabus.pdf