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Mathematik 1 EXAM INCOMING
❖ Exam: end of March 2026 Grade: —
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Ch. 1 — Foundations
Set Theory
Real Numbers — Algebraic & Ordering Axioms
Sup, Inf, Max, Min — Completeness Axiom
Absolute Value & Archimedean Property
Mathematical Induction & Binomial Coefficients
Complex Numbers
Sequences — Convergence & Monotonicity
Bolzano-Weierstrass & Cauchy Criterion
Infinite Series & Power Series
Ch. 2 — Continuity
Functions & Limits
Continuous Functions & Main Theorems
Exponential, Logarithm & Hyperbolic Functions
Trigonometric Functions
Ch. 3 — Differential Calculus
Differentiability
Extrema & Mean Value Theorems
Ch. 4 — Integral Calculus
Riemann Integral & Mean Value Theorems
Fundamental Theorem of Calculus
Integration of Rational Functions
Improper Integrals
Taylor Formula & Taylor Series
Local Extrema Criterion via Taylor
Ch. 5 — Ordinary Differential Equations
1st Order ODEs — Linear & Separated Variables
2nd Order Linear ODEs — Solution Space
Constant Coefficients & d'Alembert Reduction
Oscillation Problems & Inhomogeneous Equations
Ch. 6 — Linear Algebra
Vector Spaces
Matrices
Linear Systems & Gaussian Elimination
Inverse Matrix
Vector Spaces with Basis
Exam Prep
Past exam papers done
Maths for Physicists 2 SuSe 2026
❖ Exam: tbaGrade: —
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Analysis II
Multidimensional Differential Calculus
Partial Derivatives & Gradient
Multiple Integrals
Line & Surface Integrals
Integral Theorems (Gauss, Stokes, Green)
Complex Analysis & ODEs
Ordinary Differential Equations
Fourier Series
Fourier & Laplace Transform
Complex Numbers & Functions
Partial Differential Equations (intro)
Experimentalphysics 2 SuSe 2026
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Electrodynamics
Electrostatics & Coulomb's Law
Electric Field & Potential
Magnetostatics & Biot-Savart
Maxwell's Equations
Electromagnetic Waves
Optics & Modern Physics
Geometric Optics
Wave Optics & Interference
Diffraction & Polarisation
Special Relativity (intro)
Quantum intro (Photoelectric Effect, Compton)
Atomic Physics (Bohr Model)
Past exam papers done
Theoretical Mechanics 2 SuSe 2026
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Lagrange & Hamilton
Lagrangian Formalism
Hamiltonian Formalism
Noether's Theorem & Conserved Quantities
Canonical Transformations
Poisson Brackets
Further Topics
Rigid Body & Moment of Inertia
Oscillations & Normal Coordinates
Chaotic Dynamics (intro)
Relativistic Mechanics (intro)
Problem sets fully worked through