**Course Information Sheet, 2016.****Instructor: Alan H. Guth, Room 6-322, Ext. 3-6265, guth@ctp.mit.edu .****Teaching Assistant: Jianshu (Victor) Li, jshu_li@mit.edu , 857-253-9325 .****Lecture Hours: Mondays and Wednesdays, 11:05 a.m. - 12:25 p.m., in Room 4-163.****Office Hours:****Alan Guth:****Wednesdays, 4:00-5:00 pm, Room 6-322.****Jianshu (Victor) Li:****Thursdays, 5:00-6:00 pm, Room 8-308.****Exceptions for the week of Quiz 1:****Alan Guth****Monday, October 3, 4:00-5:00 pm, Room 6-322 (no office hour Wednesday 10/5/16)****Jianshu (Victor) Li****Tuesday, October 4, 5:00-6:00 pm, Room 3-333 (no office hour Thursday 10/6/16)****Exception: Alan Guth, office hour on Thursday, October 13, 3:00-4:00 pm, Room 6-322 (no office hour Wednesday 10/12/16)****Exceptions for the week of Quiz 2:****Alan Guth****Monday, November 7, 4:00-5:00 pm, Room 6-322 (no office hour Wednesday 11/9/16)****Jianshu (Victor) Li****Tuesday, November 8, 5:00-6:00 pm, Room 3-333 (no office hour Thursday 11/10/16)****Exceptions for the week of Quiz 3:****Jianshu (Victor) Li****Monday, December 5, 4:00-5:00 pm, Room 4-163 (no office hour Wednesday 12/7/16)****Jianshu (Victor) Li****Tuesday, December 6, 5:00-6:00 pm, Room 4-163 (no office hour Thursday 12/8/16)**-
**Class Contact List**(For Class Members Only) **Quiz 1: Wednesday, October 5, 2016**COVERAGE: Lecture Notes 1, 2, and 3; Problem Sets 1, 2, and 3; Weinberg, Chapters 1, 2, and 3; Ryden, Chapters 1, 2, and 3. (While all of Ryden's Chapter 3 has been assigned, questions on the quiz will be limited to Section 3.1. The material in Sections 3.2 and 3.3 will be discussed in lecture later in the course, and you will not be responsible for it until then. Section 3.4 (for the k=0 case) may help you understand the cosmological Doppler shift, also discussed in Lecture Notes 2, but there will be no questions specifically focused on Ryden's discussion.) REVIEW SESSION: Sunday, October 2, 2016, Room 4-237, with Victor Li. REVIEW PROBLEMS (with formula sheet and solutions): PDF (1 up), or PDF (2 up). QUIZ LOGISTICS: the quiz will be during the usual class time in our usual room, 4-163. You will not need calculators and they will not be allowed. The formula sheet from the Review Problems will be reproduced on the quiz, but otherwise it is a closed-book quiz, no notes allowed. **Quiz 2: Wednesday, November 9, 2016 -- Postponed until Monday, November 14, 2016**COVERAGE: Lecture Notes 4 and 5, and through the section on ``Dynamics of a Flat Radiation-Dominated Universe'' of Lecture Notes 6; Problem Sets 4, 5, 6, and 7; Weinberg, *The First Three Minutes,*Chapters 4 through the end of the book; In Ryden's*Introduction to Cosmology,*we have read Chapters 4, 5, and Sec. 6.1 during this period. These chapters, however, parallel what we have done or will be doing in lecture, so you should take them as an aid to learning the lecture material; there will be no questions explicitly based on these sections from Ryden. But we have also read Chapters 10 (*Nucleosynthesis and the Early Universe*) and 8 (*Dark Matter*) in Ryden, and these are relevant material for the quiz, except for Sec. 10.3*(Deuterium Synthesis).*We will return to deuterium synthesis later in the course. You can also ignore Ryden's Eqs. (10.11), (10.12), and (10.13) for now. A more detailed description of the coverage can be found on the first page of the Review Problems for Quiz 2.REVIEW SESSION: Sunday, November 6, 2016, 7:00 pm, with Victor Li, in Room 3-442. Remember that Daylight Saving Time ends at 2:00 am on Sunday morning! REVIEW PROBLEMS (with formula sheet and solutions): PDF (1 up), or PDF (2 up). QUIZ LOGISTICS: the quiz will be during the usual class time in our usual room, 4-163. You will not need calculators and they will not be allowed. The formula sheet from the Review Problems will be reproduced on the quiz, but otherwise it is a closed-book quiz, no notes allowed. **Quiz 3: Wednesday, December 7, 2016**COVERAGE: Lecture Notes 6 (pp.~12-end), Lecture Notes 7 and 8. Problem Sets 7-9; Steven Weinberg, *The First Three Minutes,*Chapter 8 and the Afterword; Barbara Ryden,*Introduction to Cosmology,*Chapters 9*(The Cosmic Microwave Background)*and 11*(Inflation and the Very Early Universe);*Alan Guth,*Inflation and the New Era of High-Precision Cosmology.*One of the problems on the quiz will be taken verbatim (or at least*almost*verbatim) from either the homework assignments, or from the starred problems on the Review Problems.REVIEW SESSION: Sunday, December 4, 2016, 7:30 pm, with Victor Li, in Room 4-237. REVIEW PROBLEMS (with formula sheet and solutions): PDF (1 up), or PDF (2 up). QUIZ LOGISTICS: the quiz will be during the usual class time in our usual room, 4-163. You will not need calculators and they will not be allowed. The formula sheet from the Review Problems will be reproduced on the quiz, but otherwise it is a closed-book quiz, no notes allowed.

## 2016 Lecture Notes

Lecture Notes are available only to users with an MIT personal certificate. If you have an account on the MIT Athena system, click here to get a personal certificate. If you have trouble getting this link to work, contact Alan Guth. If you are not affiliated with MIT, you can request access to the Lecture Notes by sending email to Alan Guth. (If he fails to respond, please try again!)

## Barbara Ryden Textbook

Barbara Ryden's textbook, *Introduction to Cosmology*(Addison-Wesley, 2003) is available by permission of the author to members of this class, as identified by MIT personal certificates. If you are a member of the class and are having trouble with this link, contact Alan Guth.

## 2016 Lecture Slides:

Format Size: Slides

10.67 x 8 inLetter (4up)

11 x 8.5 in1 Wednesday

09/07/16Slides for Opening Lecture

*Inflationary Cosmology: Is Our Universe Part of a Multiverse, Part 1*PDF (1 up) PDF (4 up) 2 Monday

09/12/16Slides for Lecture 2

*Inflationary Cosmology: Is Our Universe Part of a Multiverse, Part 2*PDF (1 up) PDF (4 up) 3 Wednesday

09/14/16Slides for Lecture 3

*The Doppler Effect and Special Relativity*PDF (1 up) PDF (4 up) 4 Monday

09/19/16Slides for Lecture 4

*The Kinematics of the Homogeneous Expanding Universe*PDF (1 up) PDF (4 up) 5 Wednesday

09/21/16Slides for Lecture 5

*The Kinematics of the Homogeneous Expanding Universe, Part 2*PDF (1 up) PDF (4 up) 6 Monday

09/26/16Slides for Lecture 6

*The Dynamics of Newtonian Cosmology, Part 1*PDF (1 up) PDF (4 up) 7 Wednesday

09/28/16Slides for Lecture 7

*The Dynamics of Newtonian Cosmology, Part 2*PDF (1 up) PDF (4 up) 8 Monday

10/03/16Slides for Lecture 8

*The Dynamics of Newtonian Cosmology, Part 3*PDF (1 up) PDF (4 up) 10 Monday

10/17/16Slides for Lecture 10

*Introduction to Non-Euclidean Spaces*PDF (1 up) PDF (4 up) 11 Wednesday

10/19/16Slides for Lecture 11

*Non-Euclidean Spaces: Closed and Open Universes*PDF (1 up) PDF (4 up) 12 Monday

10/24/16Slides for Lecture 12

*Non-Euclidean Spaces: Geodesic Equation*PDF (1 up) PDF (4 up) 18 Wednesday

11/16/16Slides for Lecture 18

*Cosmic Microwave Background and the Cosmological Constant*PDF (1 up) PDF (4 up) 19 Monday

11/21/16Slides for Lecture 19

*The Cosmological Constant*PDF (1 up) PDF (4 up) 20 Wednesday

11/23/16Slides for Lecture 20

*Supernovae Ia and Vacuum Energy Density*PDF (1 up) PDF (4 up) 22 Wednesday

11/30/16Slides for Lecture 22

*Grand Unified Theories and the Magnetic Monopole Problem*PDF (1 up) PDF (4 up)

## 2016 Problem Sets:

**Problem Set #1:**Due Friday, September 16, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #2:**Due Friday, September 23, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #3:**Due Friday, September 30, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #4:**Due Monday, October 17, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #5:**Due Friday, October 21, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #6:**Due Friday, October 28, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #7:**Due Friday, November 4, 2016 ^{*}

Problem 4 is being held over until Problem Set #8PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #8:**Due Friday, November 18, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) **Problem Set #9:**Due Friday, December 2, 2016 ^{*}PDF (1 up) PDF (2 up) **Related Links:**- Perlmutter
*et al.*1998 Supernova Ia Data: [ TEXT | CSV | EXCEL ]

This data is taken from Tables 1 and 2 of http://arXiv.org/abs/astro-ph/9812133, later published as Perlmutter*et al.*,*Astrophysical Journal***517**:565--586 (1999). - Riess
*et al.*2004 Supernova Ia Data. [ TEXT | CSV | EXCEL ]

This data is taken from Table 5 of http://arXiv.org/abs/astro-ph/0402512, published as Riess*et al.*,*Astrophysical Journal***607:**665-687 (2004).

The graph shown as Figure 4 of the paper apparently includes all the supernova measured with the HST (Hubble Space Telescope), and all the supernova classified as "gold".

**Solutions:**PDF (1 up) PDF (2 up) **Problem Set #10:**Due Wednesday, December 14, 2016 ^{*}PDF (1 up) PDF (2 up) **Solutions:**PDF (1 up) PDF (2 up) ^{*}Problem sets are due at 4:00 pm. They are to be placed in the course homework box, at the intersection of the 3rd floor of Bldg 8 and the 4th floor of Bldg 16.

## 2016 Quizzes:

**Review Problems for Quiz 1:**PDF (1 up) PDF (2 up) **Quiz 1:**PDF (1 up) PDF (2 up) **Quiz 1 Solutions:**PDF (1 up) PDF (2 up) **Review Problems for Quiz 2:**PDF (1 up) PDF (2 up) **Quiz 2:**PDF (1 up) PDF (2 up) **Quiz 2 Solutions:**PDF (1 up) PDF (2 up) **Review Problems for Quiz 3:**PDF (1 up) PDF (2 up) **Quiz 3:**PDF (1 up) PDF (2 up) **Quiz 3 Solutions:**PDF (1 up) PDF (2 up)

## 2016 Grade Histograms:

**Quiz 1, with cuts**PDF (1up) **Quiz 2, with cuts**PDF (1up) **Quiz 3, with cuts**PDF (1up) Final Weighted Averages,

with grade distribution

and cuts.PDF

## 8.286 Web Page Information from Previous Years

Back to the Physics Homepage.

*Last modified: Thursday, December 22, 2016 2:35 pm*- Perlmutter