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Compulsory Modules, Semester 1 and 2

Physics I and II (PHY111, PHY121)


  • Kinematics and dynamics of mass points
  • Dynamics of point systems and rigid bodies
  • Mechanics of gases and fluids


  • Terms, equations of state
  • Elements of kinetic gas theory
  • First and second law of thermodynamics
  • Application of the laws

Electricity and Magnetism:

  • Electrostatics, stationary currents
  • Magnetic fields, time variable currents
  • Maxwell equations

Wave theory:

  • Wave dispersion (elastic and electromagnetic waves)
  • Breaking, bending and interference in acoustics and optics

Further topics:

  • Mathematical tools (vector fields, complex notation)
  • Additional lecture experiments for Physics I & II
  • Additional topics for Physics I & II (e.g. tops, hydrodynamics)
  • Theory of special relativity
  • Maxwell equations in differential form
  • Radiation of illuminated charges (e.g. dipole or synchrotron radiation)

Labs for Physics I and II (PHY112, PHY122)

Selected experiments, including writing of a report and completion of an error calculation:

  • Measurement of physical quantities and error calculation
  • Absorption of radiation and radioactivity
  • Determining of mechanical quantities and material constants
  • Mechanical oscillations and resonance
  • Steam pressure curve of water
  • Specific warmth and adiabatic index
  • Determining of fundamental constants
  • Alternating current circuits
  • Magnetic field measurements
  • Waves and interference, optical representation
  • Spectroscopy

Supplements to Physics I (PHY110)

  • Taylor Expansion

  • Differential equations

  • Vector fields

  • Differential operators, gradient, divergence, rotation

  • Complex notation

  • Matrix inversion, Eigenwerte

  • Fourier Transformations


Supplements to Physics II (PHY120)

  • Hydrodynamics, Navier-Stokes equations

  • Gravity, Kepler's Law

  • Atmospheric Physics

  • Brownian motion and transport phenomena

  • Fourier optics and wave theory

  • movement of charges in el-magn. fields

Scientific Computing (PHY124)

  • Linux
  • Graphical Display
  • Programming in Python
  • Important algorithms and program libraries for linear algebra, differential equations and probability/statistics
  • Various examples in Physics

Analysis I and II (MAT121, MAT132)

  • Differential and integral calculus for real value functions with one variable
  • Number systems: Completion from Q to R; complex numbers
  • Sequences and series; Constancy of functions; Sequences and series of functions; Intermediate value theorems
  • Differential calculus; local behavior of functions (Extrema); Mean value theorems; Riemann integration; Fundamental theorem; Improper integrals
  • Elementary functions
  • Power series and Taylor series, multivariate differential calculations
  • Derivatives of multivariate graphs; partial derivatives, Taylor series; local behavior of a graph;convexity
  • Theorem of inverse functions; theorem of implicit functions; real manifold; local extrema with constraints
  • Integral calculations in Rn; transformation equation; length and area content
  • Vector analysis: vector fields, rotations, divergence, Stokes’ theorem; divergence theorem; Green’s theorem

Linear Algebra (MAT111)

  • Basics and algebraic structures: sets, groups, bodies, rings, Euclidean rings, residue bodies and body extensions
  • Matrices and linear systems of equations:vector spaces, matrices, Gaussian elimination method, linear dependence, generating system, basis, equivalence of matrices, similarity of matrices, linear algebra over rings
  • Determinant: Symmetric group, Multilinear mappings, Determinant as normalized alternating mapping, Further properties of the determinant, Orientation
  • Eigenvalues and eigenvectors: Definition and diagonalizability criterion, characteristic polynomial and trigonalizability, theorem of Cayley-Hamilton, fundamental theorems


Lineare Algebra II für Physikstudierende (MAT142)

  • Tensors
  • Infinitely dimensional vector spaces


Study guide

The Guide to Physics Studies provides comprehensive information about the Bachelor's and Master's programs.