State Record North Carolina

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MA 512 Advanced Calculus II. Preq: MA 301 or 312 (3-0) F,S,Sum. General theorems of partial differentiation; implicit function theorems; vector calculus in 3-space; line and sur- face integrals; classical integral theorems.
MA 513 Introduction to Complex Variables. Preq: MA 511 or 425. 3(3-0) F,S,Sum.
Operations with complex numbers, derivatives, analytic functions, integrals, definitions and properties of elementary functions, multivalued functions, power series, residue theory and application
...s, conformal mapping.
MA 514 Methods of Applied Mathematics. Preq: MA 511 or 425. 3(3-0) S. Introduction to integral equations, the calculus of variations and difference equations.
MA 515 Linear Functional Analysis I. Preq: MA 426. 3(3-0) F. Metric spaces; Lebesgue measure and integration; L p and / p spaces; Reisz-Fischer and Reisz representation theorems; normed linear spaces and Hilbert spaces.
MA 516 Linear Functional Analysis II. Preq: MA 515. 3(3-0) S. Basic theorems in Banach spaces, dual spaces, weak topologies; basic theorems in Hilbert spaces, and detailed theory of linear operators on Hilbert spaces; spectral theorem for self-adjoint completely con- tinuous linear operators.


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