PAP326 Cosmology II (Kosmologia II) 28.10-13.12

Due to the Independence Day holiday, there will be no exercise session on Friday, Dec 6th. The homework will be discussed in the following week.

Lecture on Dec 10 cancelled due to illness.

Lecturer: Hannu Kurki-Suonio, C328 (office hour Mo 10:30-11:30)

Assistant (exercises): Kimmo Kiiveri, A314

The lecturer and assistant can be contacted by e-mail at *firstname.lastname(at)helsinki.fi*

Lectures: Physicum A315, Mo 14-16 and Tu 12-14

Exercise sessions: Physicum A315, Fr 12-14

The course is lectured in English.

The first lecture of Cosmology I is on Tuesday, Sep 3rd,
and the first exercise session is on Friday, Sep 13th.

The last lecture of Cosmology I is on Tuesday, Oct 15th.

You can register for Cosmology I in WebOodi until September 3rd midnight.

If you miss this deadline, and still want to register, send a message to kumpula-student@helsinki.fi or go to see the education coordinators (Physicum C228).

Exam for Cosmology I is in Physicum E207
on Wednesday Oct 23rd, 9.00-13.00

RESULTS AND GRADES

Answers to exam questions: 1, 2, 3, 4, 5

The first lecture of Cosmology II is on Monday, Oct 28th,
and the first exercise session is on Friday, Nov 8th.

Exam for Cosmology II is
in Physicum D112
on Wednesday Dec 18th, 9.00-13.00

RESULTS AND GRADES

Answer to exam question 1; 2 can be found in lecture notes;
3,
4,
5

You can give feedback in WebOodi after the last lecture.

Note that the exams begin sharp on the hour, not quarter past.

A help sheet with information on units and key equations and a particle data table will be handed out in the exam. (Students may not bring books or their own notes to the exam.) Note that many equations in the help sheet are for Cosmology II.

You need to bring your own calculator to the exam.

Exam questions may be of similar nature to homework problems or similar to derivations in the lecture notes. There may also be an essay question.

If the exam date is impossible, students can agree with the lecturer (this must be done before the exam) to take it later, at a departmental exam. In this case the exercise points will contribute to the grade as usual. It is possible to retake the exam once, at a departmental exam (aka general exam), without retaking the course. The grade will then be based entirely on the exam, the exercise points no longer count. In both cases the exam has to be taken before the course is lectured again.

The departmental exams where Cosmology I may be taken are on Dec 13th, Jan 17th, June 5th, and Aug 14th.

The departmental exams where Cosmology II may be taken are on Jan 17th, March 13th, June 5th, and Aug 14th.

The June 5th exam is a remotely supervised examination at 12-15 pm (Note! The exam will last only for three hours). Student will receive detailed instructions on exam arrangements before the exam. If you want to participate in it, send the following information to the lecturer latest on Monday, May 25th: Name of the course, Name of the student, Student number, Student’s email address.

The Aug 14th exam is intended to be a normal exam. Register in WebOodi on 31st May 2020 at the latest.

Material covered so far:

Sep 3-23: Chapters 1-3

Sep 24: Sections 4.1-3

Sep 30: Sections 4.4-6

Oct 1: Sections 4.7-10

Oct 7: Sections 5.1-5

Oct 8: Sections 6.6-7

Oct 14: Read Sections 5.6-10

Oct 15: Read Sections 6.1-5 and 6.8

Chapter 8: Structure Formation

Chapter 9: Cosmic Microwave Background

Appendix B: Quantum Fluctuations during Inflation (not required in Cosmology II)

The above Cosmology II lecture notes in single file

Material covered so far:

Oct 28: Sections 7.1-2

Oct 29: Sections 7.3-7.5.1

Nov 4: Sections 7.5.2-7.7

Nov 5: Sections 7.8-8.1.3

Nov 11: Sections 8.1.4-8.2.2

Nov 12: Sections 8.2.3-9

Nov 18: Sections 8.2.10-8.3.5

Nov 19: Sections 8.3.6-8.4.5

Nov 25: Sections 8.5 (skipped the math, just looked at the prose and the results) and 8.6

Nov 26: Sections 8.7-8.8.2. Read Sec. 8.8.3 at home, needed for homework 11.4

Dec 2: Sections 9.1-3

Dec 3: Sections 9.4-7

Dec 9: Sections 9.5-12

Dec 10: Read Section 9.13

The first problems set will be given out on Sep 3rd, and the first exercise session is on Sep 13th.

Unlike most theoretical physics courses, in Cosmology we will not derive a self-contained theory from basic principles, but we will instead apply known theories to the study of the universe.

In Cosmology I the universe is treated in the approximation, where it is assumed homogeneous and isotropic. This approximation can be used for large scales and the early universe. This gives a basic picture of the composition and evolution of the universe. In Cosmology II we study deviations from homogeneity and isotropy.

Cosmology I is intended for the third (last) year of Bachelor studies or the first year of Master studies.
The recommended background for Cosmology I includes mathematical methods
(differential and integral calculus, e.g. Mapu I and II), classical mechanics, special relativity, quantum mechanics and statistical physics.
Quantum mechanics and statistical physics are not necessary, if the student is willing to accept some results
taken from these fields, which are presented in Chapter 4 of lecture notes.
Chapter 3 presents the results from general relativity that are needed for Cosmology I.
Students who prefer not to have many results presented to them without derivation could take **general relativity** first (but that would likely push Cosmology I to the second year of Master studies).

Cosmology II is intended for Master studies, to be taken after Cosmology I. Cosmology II requires additional mathematical methods (vector calculus, Fourier analysis and spherical harmonic analysis, e.g. Fymm I and Fymm II, assumed background) and borrows some results from cosmological (general relativistic) perturbation theory and quantum field theory (not assumed).

E.W. Kolb, M.S. Turner: The Early Universe (Addison-Wesley 1990)

T. Padmanabhan: Structure formation in the universe (Cambridge University Press 1993)

P. Coles, F. Lucchin: Cosmology - The Origin and Evolution of Cosmic Structure (Wiley 1995)

L. Bergström and A. Goobar: Cosmology and Particle Astrophysic (Wiley 1999)

J.A. Peacock: Cosmological Physics (Cambridge University Press 1999)

A.R. Liddle and D.H. Lyth: Cosmological Inflation and Large-Scale Structure (Cambridge University Press 2000)

M. Roos: Introduction to Cosmology, 3rd ed. (Wiley 2003)

S. Dodelson: Modern Cosmology (Academic Press 2003)

V. Mukhanov: Physical Foundations of Cosmology (Cambridge University Press 2005)

S. Weinberg: Cosmology (Oxford University Press 2008)

R. Durrer: The Cosmic Microwave Background (Cambridge University Press 2008)

A.R. Liddle and D.H. Lyth: The Primordial Density Perturbation: Cosmology, Inflation and the Origin of Structure (Cambridge University Press 2009)

Last updated: May 15, 2020