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Theoretical Physics

PHYS2201
4 hours English

Theoretical Physics

Theoretical Physics PHYS
1 Vector analysis application / Applications of vector multiplication / Triple products / Differentiation of vectors / Fields / Directional derivative; gradient / Some other expressions involving ? / Line integrals / Green’s theorem in the plane / The divergence and the divergence theorem / The curl and stokes’ theorem
2 Fourier series and transforms / Simple harmonic motion and wave motion; periodic functions / Applications of fourier series / Average value of a function / Fourier coefficients / Dirichlet conditions / Complex form of fourier series / Other intervals / Even and odd functions / An application to sound / Parseval’s theorem / Fourier transforms
3 Integral transforms / Development of the fourier integral / Fourier transforms—inversion theorem / Fourier transform of derivatives / Convolution theorem / Momentum representation / Transfer functions / Laplace transforms / Laplace transform of derivatives / Other properties / Convolution (faltungs) theorem / Inverse laplace transform
4 Ordinary differential equations / Separable equations / Linear first-order equations / Other methods for first-order equations / Second-order linear equations with constant coefficients and zero right-hand side / Second-order linear equations with constant coefficients and right-hand side not zero / Other second-order equations / The laplace transform / Solution of differential equations by laplace transforms / Convolution / The dirac delta function
1.1 Mapped to: K1

Define vector fields (gradient, divergence, Curl)

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
1.2 Mapped to: K2

Demonstrate Fourier series associated with simple functions and apply them to selected physical problems.

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

Solve differential equations using the method of separation of variables and Laplace transforms.

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

Apply Fourier and Laplace transforms to solve physics problems.

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.