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Main
UQU Programs
Physics

Advanced Theoretical Physics

PHYS3202
3 hours English

Advanced Theoretical Physics

Advanced Theoretical Physics PHYS
PHYS2201 Theoretical Physics
3 hours One requisite
1 Series solutions of differential equations / legendre, bessel, hermite, and laguerre functions / Legendre’s equation / Leibniz’ rule for differentiating products / Rodrigues’ formula / Generating function for legendre polynomials / Complete sets of orthogonal functions / Orthogonality of the legendre polynomials / Normalization of the legendre polynomials / Legendre series / The associated legendre functions / Generalized power series or the method of frobenius / Bessel’s equation / The second solution of bessel’s equation / Graphs and zeros of bessel functions / Recursion relations / Differential equations with bessel function solutions / Other kinds of bessel functions / The lengthening pendulum / Orthogonality of bessel functions / Approximate formulas for bessel functions / Series solutions; fuchs’s theorem / Hermite functions; laguerre functions; ladder operators
2 Partial differential equations / Laplace’s equation; steady-state temperature in a rectangular plate / The diffusion or heat flow equation; the schr?dinger equation / The wave equation; the vibrating string / Steady-state temperature in a cylinder / Vibration of a circular membrane / Steady-state temperature in a sphere / Poisson’s equation / Integral transform solutions of partial differential equations
3 Calculus of variations / The euler equation / Using the euler equation / The brachistochrone problem; cycloids / Several dependent variables; lagrange’s equations / Isoperimetric problems / Variational notation
1.1 Mapped to: K1

Identify mathematical model for many scientific and engineering problems involving partial differential equations.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
2.1 Mapped to: S1

Apply series solutions to solve differential equations in physical problems.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
2.2 Mapped to: S2

Use partial differential equations to model wave, heat flow and related phenomena.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
2.3 Mapped to: S2

Solve a variational problem by constructing an appropriate functional, and solving the Euler Lagrange equations.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
3.1 Mapped to: V1

Work individually or within a team in research projects with high professionalism.

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
Assessment
Weight
Mid-term Exam
30%
Homework’s & Quizzes
20%
Final Exam
50%
Total
100%