PHY 260 — MATHEMATICS FOR PHYSICS IV
BSc BSc Physics · Kwame Nkrumah University of Science and Technology
Definition and historical background. Basic algebra and geometry of complex numbers. Definition. Transcendental functions; Euler’s formula and its applications. Complex conjugation of FCV. De Moivre’s theorem and calculation of roots. Trigonometric, hyperbolic and logarithmetric functions. Differentiability and analyticity of FCV. The Cauchy-Riemann relations. Integration of FCV. Cauchy’s integral theorem and integral formulae. Power series expansions for analytic functions: Taylor and Laurent expansions. Zeroes and isolated singularities of FCV. Cauchy’s residue theorem and its application to the evaluation of integrals: contour integration. Improper integrals. Conformal mapping by analytical functions. The error functions or integral. Gamma functions; stirling’s formula. The Beta functions. Application of the gamma and beta functions in integration of real functions
- Credits
- 2
- Level
- Level 200
Other courses on this programme
- FC 281 — FRENCH FOR COMMUNICATION III
- FC 282 — FRENCH FOR COMMUNICATION IV
- PHY 251 — ELECTRONICS I
- PHY 252 — ELECTRONICS II
- PHY 253 — CLASSICAL MECHANICS I
- PHY 254 — CLASSICAL MECHANICS II
- PHY 255 — THERMODYNAMICS
- PHY 256 — E.M. THEORY
- PHY 259 — MATHEMATICS FOR PHYSICS III
- PHY 261 — PROGRAMMING WITH PASCAL I
- PHY 262 — PROGRAMING WITH PASCAL II
- PHY 263 — NUCLEAR PHYSICS
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