This is the reference page for information on my lecture course on Linear Perturbations and the Cosmic Microwave Background.

General information:

**Where**: Philosophenweg 12, Room GHS

**When**: Tuesdays from 11.15 to 13.00. First lecture on 19th April 2016.

References:

- Cosmological perturbations: Kodama & Sasaki 1984 and Carlo Baccigalupi’s lecture notes
- CMB physics and anisotropies: Hu & Dodelson 2002
- Normal modes and Boltzmann equation: Hu & White 1997
- Experiments: lambda.gfsc.nasa.gov
- http://arxiv.org/abs/1302.4640 by J. Lesgourges
- Fluctuations in the Cosmic Microwave Background, Matthias Zaldarriaga’s Thesis

In addition see the ppt’s attached for some of the lectures.

(Preliminary) Calendar 2016 (Summer Semester)

First lecture on 19th April 2016

19.04.16 Lecture I

26.04.16 No Lecture

03.05.16 No Lecture

10.05.16 Lecture II (Background. Linear perturbations: classification in scalar, vector, tensor perturbations and Fourier expansion of various types.)

17.05.16: Lecture III (Perturbations, gauge, gauge invariant potentials. Perturbed Einstein equations; perturbed conservation equations.)

24.05.16: Exercise I (Matteo Martinelli: CAMB code. Please bring your laptop and install CAMB before the class, http://camb.info/)

31.05.16 Lecture IV (Cosmological Horizon; Evolution on sub horizon and super horizon scales).

07.06.16 Lecture V (Initial conditions and Harrison Zeldovich spectrum, Matter Power Spectrum, tensor equation).

14.06.16 Lecture VI (CMB, expansion in spherical harmonics and spectra, various components before CMB transfer and impact on the spectra, Boltzmann equation (background).

21.06.16 Exercise II (Yashar Akrami, specialised lecture)

28.06.16 Lecture VII (Boltzmann equation (perturbations), expansion in normal modes and total angular momentum method, integral solution along the line of sight, secondary effects).

05.07.16 Lecture VIII Polarization, experiments

12.07.16 Lecture IX Planck, Dark Energy, Future Experiments.

19.07.16: No Lecture

25.07.16: Exams at 10.00