Quick links

Homeworks
Quizzes
Handouts
Exam Resources
Cheat Sheets
Schedule

Office Hours: W 1-2 pm
Office: 812 Evans

e-mail: tabrizianpeyam@hotmail (I left out the .com for anti-spam purposes)

(12/18) AAAAAND you're DONE!!! Thank you for flying Peyam Airlines, it's been a pleasure serving you, and hope to see you on board again soon!

(12/03) The final exam is on Tuesday, December 16th, and will cover everything, with special emphasis on material after the second midterm.
- I will hold review sessions on Monday, December 8th, Wednesday, December 10th, and Friday, December 12th, from 12 pm to 1 pm in 9 Evans. Here are the problems I'm going to cover: Part I   Part II   Part III   and here is an Answer Key
- Special Office Hours: Monday, December 8th, Wednesday, December 10th, and Friday, December 12th from 1 pm to 2 pm, AND Friday, December 12th, from 3 pm to 4 pm
- Exam resources: You can find a study guide, a mock exam, and practice exams below.

(11/24) Here are the Notes from Friday's special section.

(11/24) I will be out of town on Monday, November 24, and on Wednesday, November 26, so there won't be any discussion section those two days. Please slide Homeworks 21 and 22 under my office door by 2 pm on those two days. There will be a make-up discussion on Friday, November 21, from 4 pm to 5 pm in 39 Evans (sorry about the abrupt room change).

(11/05) Welcome to the differential equations-part of the course! Make sure to check out my differential equations-handouts available here . People in the past told me they're very useful for surviving the differential equations-part of the course.

(10/21) The second midterm is on Thursday, October 30th, and will cover sections 4.5 - 6.3.
- I will hold a review session on Tuesday, October 28th, from 5 pm to 7 pm in 390 Hearst Mining Building. Here are the Problems I'm going to cover and here is an Answer Key .
- Special Office Hours: Monday, October 27th, from 1 pm to 2 pm and Wednesday, October 29th, from 1 pm to 2 pm AND from 3 pm to 4 pm
- Exam resources: You can find a study guide, a mock exam, and practice exams below.
- Pizza party: On Friday, October 31st, there won't be an official section, but if you come by 9 Evans, I will serve some pizza (and more!) and you can get your exams back

(10/02) The first midterm is on Tuesday, October 7th, and will cover sections 1.1 - 4.4.
- I will hold a review session on Thursday, October 2nd, from 5 pm to 7 pm in 130 Wheeler . Here are the Problems I'm going to cover and here is an Answer Key .
- Special Office Hours: Friday, October 3rd, from 4 pm to 5 pm and Monday, October 6th, from 1 pm to 2 pm AND from 3 pm to 4 pm
- Exam resources: You can find a study guide, a mock exam, and practice exams below.
- Pizza party: On Wednesday, October 8th, there won't be an official section, but if you come by 9 Evans, I will serve some pizza and you can get your exams back

(09/05) Here are the Notes from Thursday's special section.

(09/05) I will be out of town on Friday, September 5. Quiz 2 will be administered on Friday from 12:10 pm to 12:30 pm; after you turn it in you're free to go. There will be a make-up discussion section on Thursday, September 4, from 5 pm to 6 pm, in 736 Evans .

(08/30) Welcome to Math 54! On this website you can find hints to all the homework assignments, practice exams, and useful handouts. Use bspace to check your grades and piazza to ask questions! Get ready for an exciting linear algebra-adventure.

Here you can find hints and due dates to all the homework assignments, as well as solutions to the graded problems.

Note: Please take those hints with a grain of salt! There might be some errors, especially since the edition of the book changed.

Note: Check them out! You'll find them very useful for the differential equations - part of the course!

Second-order differential equations - Handout   (ignore the section on variation of parameters)

Higher-order differential equations - Handout   (ditto)

Systems of differential equations - Handout   (ignore the section on undetermined coefficients, variation of parameters, and the matrix exponential)

Partial Differential Equations - Handout   (ignore the section on Laplace's equation; everything else is actually fair game for the exam)

Midterm 1

Midterm 1   Solutions

Midterm 1 - Study Guide

Mock Midterm (Nadler)   Solutions

Mock Midterm (Peyam)   (slightly on the easier side) Solutions  

Midterm 1 (Peyam)   (excellent, try it out!) Solutions  

Problems covered during the Midterm 1 - Review Session   Answer Key  

Midterm 1 (Ribet)   (ignore 3b) Answer Key

Midterm 1 (also from Ribet)   (only do 1bc, 4, 5) Answer Key

Midterm 1 (Vojta)   (ignore 1ef, 5) Answer Key

Midterm 1 (also from Vojta)   (only do 1b, 2, 5; in 1, the 4 should be a -4)   Answer Key

Midterm 2

Midterm 2   Solutions   Extra solutions to Problem 1   (courtesy DongGyu)

Midterm 2 - Study Guide

Mock Midterm (Nadler)   Solutions   More detailed solutions (courtesy DongGyu Lim)

Midterm 2 (DongGyu)   Solutions  

Mock Midterm (Peyam)   (slightly on the easier side)   Solutions

Midterm 2 (Peyam)   (excellent, try it out!) Solutions  

Problems covered during the Midterm 2 - Review Session   Answer Key  

Midterm 2 (Ribet)   (only do 1, 2, and the first question in 3)   Answer Key

Midterm 2 (Vojta)   (only do 1, 6; in 1, the 4 should be a -4)   Answer Key

Midterm 2 (Bergman)   (only do 1, 2cdf, 5)   Answer Key

Midterm 2 (Tataru)   (only do 1, 4, 5acd)   Answer Key

Final Exam

Final Exam   Solutions

Final Exam - Study Guide

Mock Final (Nadler)   Solutions

Mock Final (Peyam)   (slightly on the easier side) Solutions  

Final (Peyam)   (really excellent, try it out!) Solutions  

Problems covered during the Final Exam - Review Session: Part I   Part II   Part III   Answer Key

Final (Canez)   Solutions   (excellent practice final, that's the one I used to study for my Math 54 final)

Final (Ribet)   Solutions

Final (also from Ribet)   Solutions

Final (Holtz)   Solutions   (this is also a very good practice final!)

Final (Vojta)     Answer Key

Final (Bergman)   Answer Key

Final (Lenstra)   Answer Key   (has good chapter 10 - questions)

Final (Poonen)   Answer Key   (has a good multiple-choice part)

Final (Trang)   Answer Key   (has a good multiple-choice part)

Final (Tarr)   Solutions

Proof of Abel's lemma

This diagram illustrates our progress in this course. It will be updated weekly: