Math 54

Spring 2015

 

This is the webpage for Math 54 Spring 2015


Quick links

Homeworks
Quizzes
Handouts
Exam Resources


General Info

Office Hours: Tu 12:30 - 1:30 PM
Office: 812 Evans

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


Announcements

(05/12) AAAAAND you're DONE!!! Congratulations! Enjoy your Peyamazing summer, you've deserved it!!!

(04/30) The final exam is on Tuesday, May 12th, from 11:30 am to 2:30 pm and will cover the entire course.
- I will hold a review sessions on Tuesday, May 5th, from 11 am to 12:30 pm, and Thursday, May 7th, from 11 am to 12:30 pm in 2 Evans. Here are the problems I'm going to cover and here is an answer key
- Special Office Hours: Tuesday, May 5th, from 12:30 pm to 2 pm, Wednesday, May 6th, from 3 pm to 4 pm, and Thursday, May 7th, from 10 am to 11 am, in 812 Evans.
- Exam resources: You can find a study guide, a mock exam, and practice exams below.
- Note: I will be leaving town immediately after the second review session, and won't be back until Monday evening, so if you need to see me in person, please do so before Thursday at 11 am. I will be available by e-mail when I'm away.

(04/09) The second midterm is on Friday, April 17th, and will cover sections 1.1 - 9.1.
- I will hold a review session on Tuesday, April 14th, from 11 am to 12:30 pm in 2 Evans. Here are the problems I'm going to cover and here is an answer key (with detailed solutions to 8)
- Special Office Hours: Tuesday, April 14th, from 12:30 pm to 1:30 pm, and Thursday, April 16th, from 12:30 pm to 2:30 pm, in 812 Evans.
- Exam resources: You can find a study guide, a mock exam, and practice exams below.

(03/13) I will have a Pi-Day celebration on Friday, March 13th, from 1:30 pm to 3 pm in 812 Evans. Don't be shy, stop by and have some pie!

(02/19) The first midterm is on Friday, February 27th, and will cover sections 1.1 - 4.5.
- I will hold a review session on Tuesday, February 24th, from 11 am to 12:30 pm in 2 Evans. Here are the problems I'm going to cover and here is an answer key. (On Thursday, I will cover 4.4 - 4.6, and there will be no quiz that day)
- Special Office Hours: Tuesday, February 24th, from 12:30 pm to 2 pm, and Thursday, February 26th, from 12:30 pm to 2:30 pm, in 812 Evans.
- Exam resources: You can find a study guide, a mock exam, and practice exams below.

(01/21) Welcome to Math 54! On this website you can find important announcements, hints to the homework problems, as well as practice exams, quiz solutions, and useful differential equations-handouts. Get ready for an exciting linear algebra-adventure.


Homeworks

In my section, you do not need to turn in homework, but you should still do them by the due date in order to prepare yourself for the quizzes and exams.

Here you can find all the homework assignments at a glance: Homework Assignments

Here you can find hints to various Math 54-problems I've compiled in the past: Hints-Bank

Homework Sections Hints Solutions Due Date
Homework 1
1.1, 1.2, 1.3
Hints Solutions Tuesday, January 27
Homework 2
1.4, 1.5, 1.7, 1.8, 1.9
Hints Solutions Tuesday, February 3
Homework 3
2.1, 2.2, 2.3, 3.1, 3.2
Hints Solutions Tuesday, February 10
Homework 4
3.3, 4.1, 4.2
Hints Solutions Tuesday, February 17
Homework 5
4.3, 4.4, 4.5
Hints Solutions Tuesday, February 24
Homework 6
4.6, 4.7
Hints Solutions Tuesday, March 3
Homework 7
5.1, 5.2, 5.3, 5.4
Hints Solutions Tuesday, March 10
Homework 8
6.1, 6.2, 6.3, 6.4
Hints Solutions Tuesday, March 17
Homework 9
6.5, 6.7, 7.1
Hints Solutions Tuesday, March 31
Homework 10
4.1, 4.2, 4.3, 4.4, 4.5
Hints Solutions Tuesday, April 7
Homework 11
4.6, 6.1, 6.2, 9.1
Hints Solutions Tuesday, April 14
Homework 12
9.4, 9.5, 9.6, 9.7
Hints Solutions Tuesday, April 21
Homework 13
9.8, 10.2, 10.3, 10.4
Hints Solutions Tuesday, April 28
Homework 14
10.5, 10.6, 10.7
Hints Solutions Tuesday, May 5


Quizzes

Quizzes in my sections will be given on Thursdays during the last 10-20 minutes of section, except for exam weeks. No make-up quizzes will be given. Your lowest quiz score will be dropped.

Quiz Sections Quiz Solutions Date
Quiz 1
1.1, 1.2, 1.3
Quiz 1 Solutions Thursday, January 29
Quiz 2
1.4, 1.5, 1.7, 1.8, 1.9
Quiz 2 Solutions Thursday, February 5
Quiz 3
2.1, 2.2, 2.3, 3.1, 3.2
Quiz 3 Solutions Thursday, February 12
Quiz 4
3.3, 4.1, 4.2
Quiz 4 Solutions Thursday, February 19
Quiz 5
4.6, 4.7
Quiz 5 Solutions Thursday, March 5
Quiz 6
5.1, 5.2, 5.3, 5.4
Quiz 6 Solutions Thursday, March 12
Quiz 7
6.1, 6.2, 6.3, 6.4
Quiz 7 Solutions Thursday, March 19
Quiz 8
6.5, 6.7, 7.1
Quiz 8 Solutions Thursday, April 2
Quiz 9
4.1, 4.2, 4.3, 4.4, 4.5
Quiz 9 Solutions Thursday, April 9
Quiz 10
9.4, 9.5, 9.6, 9.7
Quiz 10 Solutions Thursday, April 23
Quiz 11
9.8, 10.2, 10.3, 10.4
Quiz 11 Solutions Thursday, April 30


Differential-Equations-Handouts

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

Second-order differential equations - Handout  

Higher-order differential equations - Handout  

Systems of differential equations - Handout  

Partial Differential Equations - Handout  


Exam Resources

Midterm 1

Solutions to Midterm 1

Midterm 1 - Study Guide

Mock Midterm 1 (Vojta)   Solutions

Mock Midterm 1 (Peyam)   (slightly on the easier side) Solutions  

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

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

Midterm 1 (also from Ribet)   Answer Key   (ignore 1a, 2, 3b)

Midterm 1 (Nadler)   Solutions   (ignore 1, 2, 6)

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

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

Midterm 1 - T/F questions   (OPTIONAL, for extra practice)   Solutions  

Problems covered during the Midterm 1 - Review Session   Answer Key

Midterm 2

Solutions to Midterm 2

Midterm 2 - Study Guide

Mock Midterm 2 (Vojta)   Solutions

Mock Midterm 2 (Peyam)   (slightly on the easier side)   Solutions

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

Midterm 2 (Ribet)   Answer Key

Midterm 2 (Nadler)   Solutions   Extra solutions to Problem 1   (ignore 1, 6)

Midterm 2 (Vojta)   (in 1, the 4 should be a -4)   Answer Key   (ignore 3)

Midterm 2 (Bergman)   Answer Key   (ignore 2, 5)

Midterm 2 (Tataru)   Answer Key   (ignore 4, 5)

Proof of Abel's lemma

Midterm 2 - T/F questions   (OPTIONAL, for extra practice)   Solutions  

Problems covered during the Midterm 2 - Review Session   Answer Key

Final Exam

Final Exam - Study Guide

Mock Final (Vojta)   Solutions

Mock Final (Peyam)   (slightly on the easier side) Solutions   (make sure to also look at Mock Midterm 2, as it is more comprehensive)

Final (Peyam)   (really excellent, try it out!) Solutions   (make sure to also look at Peyam's Midterm 2)

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 Exam (Nadler)   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

Problems covered during the Final Exam - Review Session   Answer Key


Progress

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