Math 1A - Spring 2011

This is the webpage for Math 1A Spring 2011, Sections 101 (MWF 9-10 AM in 3102 Etcheverry) and 104 (MWF 10-11 AM in 3102 Etcheverry). On this webpage, you can find a summary of administrative announcements, solutions to a couple of difficult problems, as well as study guides, handouts and practice exams.

Other resources you can use are under Prof. Steel's Homepage or under bspace.


General Info

Office Hours: Tu 11-12 PM and W 11-12 PM, and by appointment
Office: 830 Evans

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


Announcements

(05/12) Congratulations! You're done! Have a nice summer!!!

Info about the Final exam:

(05/11) The Final Exam is on Wednesday, 05/11, from 3 pm to 6 pm in Wheeler Auditorium.

(05/02 - 05/11) Special Final Exam Office Hours:
- Monday, 05/02, 12:15 - 12:45 pm
- Tuesday, 05/03, 2 - 3 pm
- Wednesday, 05/04, 1:30 - 2:30 pm (note the time change)
- Thursday, 05/05, 1 - 3 pm
- Friday, 05/06, 11-12 pm (note the time change)
- Monday, 05/09, 2:45 - 4:30 pm
- Tuesday, 05/10, 12 - 6 pm
- Wednesday, 05/11, 12 - 2:30 pm

(05/02 - 05/09) Review Sessions for the Final Exam:
- Monday, 05/02, 9 am - 12 pm in 81 Evans: This will focus on the material up to midterm 2
- Wednesday, 05/04, 3 pm - 6 pm in 6 Evans: This will focus on the material after midterm 2 (Chapters 5 and 6)
- Friday, 05/06, 1:30 pm - 4 pm in 385 Leconte (note the small time change): I'll go over Prof. Steel's practice final
- Monday, 05/09, 11:30 am - 2:30 pm in 7 Evans: I will give you a mock final, which I'll grade and comment on overnight

(05/02 - 05/06) Other Review Sessions:
- Monday, 05/02, 12-1 pm in 10 Evans (led by Dan & Andy, bring questions!)
- Wednesday, 05/04, 12-1 pm in 10 Evans (led by Prof. Steel)
- Friday, 05/06, 12-1 pm in 10 Evans (led by Prof. Steel)

(05/09 - 05/10) Bspace Chatroom sessions:
- Monday, 05/09, from 10 pm to 12 am
- Tuesday, 05/10, from 9 pm to 12:30 am

(04/08) Midterm 2 is on Friday, 04/08 from 12 pm to 1 pm in 10 Evans. It covers sections 3.4 - 4.9, excluding section 3.11, 4.6 and 4.8

(04/04 - 04/08) Special Midterm 2 Office hours (all in 830 Evans):
- Tuesday, 04/05, from 11 am to 12:30 pm
- Wednesday, 04/06, from 11 am to 1 pm and from 2 pm to 3 pm
- Thursday, 04/07, from 11 am to 1 pm and from 5 pm to 6 pm
- Friday, 04/08, from 11 am to 12 pm

(04/04 - 04/08) Review Sessions for Midterm 2 are on:
- Monday, 04/04 from 5 pm to 8 pm in 891 Evans
- Tuesday, 04/05 from 5:30 pm to 7:30 pm in 50 Barrows. This is a repeat from Monday's review session for people who can't make it on Monday
- Wednesday, 04/06 from 5 pm to 8 pm in 2304 Tolman. I will go over the second practice midterm in detail
- Also, there will be mini-review sessions during regular discussion section on 04/04, 04/06 and 04/08

(03/28 - 04/01) Office hours this week are Th/F 11-1 pm in 830 Evans

(03/21 - 03/25) No class (lecture/discussion section) because of Spring Break

(02/23) Midterm 1 is on W 02/23 from 12 pm to 1 pm in 10 Evans. Mini-review sessions from 9:10 am to 10 am / 10:10 am to 11 am in 3102 Etcheverry

(02/22) Special Midterm 1 Office hours: Tu 02/22 from 11:05 to 1 pm, 2 pm to 3:20 pm, and 5:15 pm to 6:30 pm in 830 Evans

(02/21) No class (lecture/discussion section) because of President's day

(02/17) Review session for Midterm 1 is on 02/17 from 5:30 PM to 8:30 PM in 156 Dwinelle

(01/17 - 01/21) Office hours this week are W 11-12 PM and F 11-12 PM in 830 Evans

(01/17) No class (lecture/discussion section) because of MLK holiday


Study Guides

Study Guide for Midterm 1

Complete list of definitions for Midterm 1

Study Guide for Midterm 2

Complete list of definitions for Midterm 2

Study Guide for the Final

Complete list of definitions for the Final


Answer keys to the Homeworks

Answer Key to Homework 1

Answer Key to Homework 2

Answer Key to Homework 3

Answer Key to Homework 4

Answer Key to Homework 5

Answer Key to Homework 6

Answer Key to Homework 7

Answer Key to Homework 8

Answer Key to Homework 9

Answer Key to Homework 10

Answer Key to Homework 11

Answer Key to Homework 12

Answer Key to Homework 13


Solutions to a couple of problems (some of them are on your homework, others are not)

Solution to 3.3.51

Solution to 3.5.40

Solution to 3.5.69

Solution to 3.7.24

Solution to 3.8.11

Solution to 3.9.13

Solution to 3.9.38

Solution to 3.9.43

Solution to 3.9.44

Solution to 3.10.36

Solution to 4.1.57

Solution to 4.2.36

Solutions to 4.4.14, 4.4.15, 4.4.49, 4.4.71

Solution to 4.8.38

Solution to 5.1.26

Solutions to 5.2.67, 5.2.68


Other notes

Proof of the formula for the derivative of arccos

Proof of the formula for the derivative of arccos (shorter/neater version, but without any explanations)

Concavity

Related rates

Graphing functions using the DISAIC method

Slant asymptotes

Optimization problems

The area problem

Volumes

The book's proof of the FTC

The book's proof of the FTC (shorter/neater version, but without any explanations)

A much easier and neater proof of the FTC

Non-integrable functions and the Lebesgue integral (just for fun, won't be on the exam)


Practice exams

Midterm 1

Midterm 1 (Borcherds)   Answer Key

Midterm 1 (Christ)   (Brief) Solutions

Midterm 1 (Haiman)   Solutions

Midterm 1 (Vojta)   (Brief) Solutions

Problems covered during the official Midterm 1 review session

Problems covered during the review-discussion on 03/23

Midterm 2

Midterm 2 (Borcherds)   Answer Key

Midterm 2 (Christ)   Solutions

Midterm 2 (Haiman)   Solutions

Midterm 2 (Vojta)   Solutions

Problems covered during the official Midterm 2 review session

Problems covered during the review-discussion on 04/04

Problems covered during the review-discussion on 04/06

Problems covered during the review-discussion on 04/08

Midterm 2 - Extra for Experts (a list of more challenging problems in the book)

Final Exam

Final (Borcherds)   Answer Key

Final (also from Borcherds)   Answer Key

Final (Christ)   (Brief) Solutions

Final (Vojta)   Solutions

Final (Agol)   Solutions

Final (Adiredja)   Solutions

Final (Froehle)   Solutions

Final (Jones) (this one is hard!) Answer Key

Problems covered during the Final exam review session (chapters 1, 2, 3, 4)

Problems covered during the Final exam review session (chapters 5, 6)

Final Exam - Extra for Experts (a list of more challenging problems in the book)