PHY 359 — MATHEMATICS FOR PHYSICS V
BSc BSc Physics · Kwame Nkrumah University of Science and Technology
Definition. Subsequences. Convergent and divergent sequences. Monotonic sequences of real numbers. Definition. Alternating series. Absolute and conditional convergence. Tests for convergence of series with positive terms. Series of non-negative terms. The number e. Tests for convergence: the root and ratio tests; the integral test. Rearrangements of series. Examples of sequences of real-valued functions. Uniform convergence and continuity. The Cauchy condition for uniform convergence. Uniform convergence of infinite series. Uniform convergence and differentiation. Uniform convergence and integration. Bounded convergence. Mean convergence. Integration and differentiation theorems. Taylor series. Orthogonal systems of functions. Linear independence of functions. Fourier series of a function relative to an orthogonal system. Mean-square approximation. The trigonometric Fourier series. Parseval’s formula and its use in the evaluation of some infinite numerical series. Half-range trigonometric Fourier series. Sine and cosine series. The polynomial solutions to the Hermite, Legendre and laguerre polynomials: the Hermite, Legendre and laguerre polynomials. The Bessel equation: the Bessel functions. The modified Bessel functions. The wave and heat equations in one dimension. Solution by separation of variables. The Laplace equation. Solution by separation of variables. COURSES IN AREA OF SPECIALISATION 1. PHYSICS WITH APPLIED MATHEMATICS
- Credits
- 3
- Level
- Level 300
Other courses on this programme
- PHY 351 — QUANTUM MECHANICS
- PHY 353 — SOLID STATE PHYSICS I
- PHY 355 — ENVIRONMENTAL PHYSICS I
- PHY 357 — FLUID DYNAMICS
- PHY 363 — COMPUTER ARCHITECTURE
- PHY 365 — BIOMEDICAL LABORATORY I
- PHY 367 — MEDICAL PHYSICS I
- PHY 369 — RADIOBIOLOGY I
- PHY 371 — PROGRAMMING WITH C++ I
- PHY 373 — MINI-PROJECT WITH APPLICATION PACKAGES I
- PHY 375 — COMPUTER HARDWARE COMPONENTS I
- PHY 379 — ANALOGUE CIRCUITS
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