PHY 259 — MATHEMATICS FOR PHYSICS III
BSc BSc Physics · Kwame Nkrumah University of Science and Technology
Directional and partial derivatives. Total derivatives (Differentials). The gradient vector. Differentials of composite functions. Condition for existence of the differential. Partial derivatives of higher order. Applications of partial differentiation: parametric integration; the Jacobian; the inverse and implicit function theorem; extremum problems. Multiple integrals (MI). Surface and volume integrals. Condition for existence of MI. Evaluation of MI: repeated integration; change of variables. Vectors in Cartesian coordinate systems. Change of axes. Scalar and vector fields. Vector fields in a plane. Line integrals; Green’s theorem. Vector fields in space. Gauss’s and Stokes’ theorems. Curvilinear coordinates
- 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 260 — MATHEMATICS FOR PHYSICS IV
- PHY 261 — PROGRAMMING WITH PASCAL I
- PHY 262 — PROGRAMING WITH PASCAL II
- PHY 263 — NUCLEAR PHYSICS
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