1 Goltijas

Optimization Problems Homework Mastermathmentor Answer

 

 

  This is the webpage for Math 1A Fall 2013!


General Info

Office Hours: F 2-3 pm
Office: 1041 Evans (or 30 Wheeler)

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


Quick links

Study Guides
Homeworks
Quizzes
Solution-Bank
Solved Problems
Handouts
Exam Resources
Schedule


Announcements

(12/17) Congratulations, you're DONE!!! Have a fantastic winterbreak!

(12/07) The Final Exam is on Tuesday, 12/17 from 8 am to 11 am in the RSF Fieldhouse.

Review Session: MWF of RRR Week 1-2 pm in 30 Wheeler. Here are the problems I'm going to cover: Part I   Part II   Part III   ( Answers )
Office Hours: MWF of RRR Week 2-3 pm either in 30 Wheeler or in 1041 Evans.
Study Guide/List of definitions: You will find a study guide/list of definitions here
Practice exams: You can find LOTS of practice exams here
Quizzes: I would recommend reviewing all the quizzes, especially Quizzes 10 and 11, which you can find here

(10/17) Midterm 2 is on Thursday, 11/14 from 2 pm to 3:30 pm in 155 Dwinelle. It covers sections 3.4 - 4.9, excluding sections 3.11, 4.6 and 4.8

Review Session: Tuesday, 11/12, from 5 to 7 pm in 78 Barrows . Here are the problems I'm going to cover: Review Problems and Answer Key
Office Hours: Wednesday 11/13, 2-4 pm in 1041 Evans . You can find the other GSIs office hours here: Schedule
Study Guide/List of definitions: You will find a study guide/list of definitions here
Practice exams: You can find LOTS of practice exams here
Quizzes: I would recommend reviewing Quizzes 5-9, which you can find here
Pizza Party: Pizza party on Friday 11/15 from 1-2 pm at LaVal's!

(10/01) Due to a power outage in Dwinelle, Midterm 1 will be held on Thursday instead of Tuesday!
- On Wednesday, I will hold an office hour in 30 Wheeler from 1-2 pm instead of section
- No homework/quiz due on Friday
- Pizza party on Friday from 1-2 pm at LaVal's!

(09/26) Midterm 1 is on Thursday, 10/03 from 2 pm to 3:30 pm in 155 Dwinelle. It covers sections 1.1 - 3.3

Review Session: Thursday, 09/26, from 5:30 to 7:30 pm in 155 Kroeber. Here are the problems I'm going to cover: Review Problems and Answer Key
Office Hours: Friday, 09/27, 2-3 pm in 30 Wheeler, and Monday, 09/30, 2-4 pm in 30 Wheeler/1041 Evans. You can find the other GSIs office hours here: Schedule
Study Guide/List of definitions: You can find a study guide/list of definitions here
Practice exams: You can find LOTS of practice exams here
Quizzes: I would recommend reviewing Quizzes 1-4, which you can find here

(09/11) From now on, my Friday office hours will be held from 2-3 pm in 30 Wheeler (the usual discussion section room)

(09/02) This website has been updated and is now fully functional. Enjoy! :)

(08/30) Welcome to Math 1A! Hope you'll have lots of fun!


Study Guides

Study Guide for Midterm 1   ( Old version )

Complete list of definitions for Midterm 1

Study Guide for Midterm 2   ( Old version )

Complete list of definitions for Midterm 2

Study Guide for the Final Exam   ( Old version )

Complete list of definitions for the Final Exam   (updated!)


Homeworks

Note: 'OLD' refers to the old/6th edition of the textbook, so if you have the old edition of the textbook, make sure to hand in the OLD homework (e.g. 'OLD Homework 1').
But if you have the new/7th edition of the textbook, please hand in the regular edition of the homework (e.g. 'Homework 1')

Homeworks Assignment Answer Key Assignment (old edition) Answer Key (old edition) Due Date
Homework 1 Homework 1 Homework 1 - Answer Key
OLD Homework 1
OLD Homework 1 - Answer Key Friday, September 6th
Homework 2 Homework 2 Homework 2 - Answer Key
OLD Homework 2
OLD Homework 2 - Answer Key Friday, September 13th
Homework 3 Homework 3 Homework 3 - Answer Key
OLD Homework 3
(Extra problem)
OLD Homework 3 - Answer Key Friday, September 20th
Homework 4 Homework 4 Homework 4 - Answer Key
OLD Homework 4.1
OLD Homework 4.2
OLD Homework 4.1 - Answer Key
OLD Homework 4.2 - Answer Key
Friday, September 27th
Homework 5 Homework 5 Homework 5 - Answer Key
OLD Homework 5.1
OLD Homework 5.2
OLD Homework 5.1 - Answer Key
OLD Homework 5.2 - Answer Key
Friday, October 11th
Homework 6 Homework 6 Homework 6 - Answer Key
OLD Homework 6
OLD Homework 6 - Answer Key Friday, October 18th
Homework 7 Homework 7 Homework 7 - Answer Key
OLD Homework 7
(Extra Problems)
OLD Homework 7 - Answer Key Friday, October 25th
Homework 8 Homework 8 Homework 8 - Answer Key
OLD Homework 8
(Extra Problem)
OLD Homework 8 - Answer Key Friday, November 1st
Homework 9 Homework 9 Homework 9 - Answer Key
OLD Homework 9
(Extra Problems)
OLD Homework 9 - Answer Key Friday, November 8th
Homework 10 Homework 10 Homework 10 - Answer Key
OLD Homework 10.1
OLD Homework 10.2
OLD Homework 10.1 - Answer Key
OLD Homework 10.2 - Answer Key
Friday, November 22nd
Homework 11 Homework 11 Homework 11 - Answer Key
OLD Homework 11
(Extra Problems)
OLD Homework 11 - Answer Key Monday, December 2nd
Homework 12 Homework 12 Homework 12 - Answer Key
OLD Homework 12
OLD Homework 12 - Answer Key Wednesday, December 11th


Quizzes

Quizzes Quiz Solutions Date
Quiz 1 Quiz 1 Solutions Friday, September 6th
Quiz 2 Quiz 2 Solutions Friday, September 13th
Quiz 3 Quiz 3 Solutions Friday, September 20th
Quiz 4 Quiz 4 Solutions Friday, September 27th
Quiz 5 Quiz 5 Solutions Friday, October 11th
Quiz 6 Quiz 6 Solutions Friday, October 18th
Quiz 7 Quiz 7 Solutions Friday, October 25th
Quiz 8 Quiz 8 Solutions Friday, November 1st
Quiz 9 Quiz 9 Solutions Friday, November 8th
Quiz 10 Quiz 10 Solutions Friday, November 22nd
Quiz 11 Quiz 11 Solutions Friday, December 6th


Solution Bank

The following files contain solutions/answer keys/hints to a LOT of problems in the book which I've compiled over the last semesters teaching 1A.

Solution bank (new edition of the textbook)

OLD Solution bank (old edition of the textbook)


Worked-out solutions to a couple of problems

Note: The number in parentheses refers to the problem in the old edition. If there are no parentheses, then it's the same problem for both editions.
For example, the problem in the first file is 3.3.55 for the new edition, and 3.3.51 for the old edition. And for example, the problem in the 5th file is 3.8.11 in both editions.
The title in each file refers to the problem in the old edition, but it's the same solution for the new edition.

Solution to 3.3.55 (3.3.51)

Solution to 3.5.44 (3.5.40)

Solution to 3.5.44, 3.5.45, 3.5.46   (3.5.40, 3.5.41, 3.5.42)

Solution to 3.5.80 (3.5.69)

Solution to 3.7.26 (3.7.24)

Solution to 3.8.11

Solution to 3.9.13

Solution to 3.9.40 (3.9.38)

Solution to 3.9.45 (3.9.43)

Solution to 3.9.46 (3.9.44)

Solution to 3.10.36

Solution to 4.1.57

Solution to 4.2.36

Solutions to 4.4.16, 4.4.17, N/A, 4.4.76 (4.4.14, 4.4.15, 4.4.49, 4.4.71)

Solution to 4.8.38

Solution to 5.1.30 (5.1.26)

Solutions to 5.2.69, 5.2.70 (5.2.67, 5.2.68)


Handouts

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)

Rates of change

Differential equations

Related rates

What f' and f'' tell us about f

Graphing functions using the DISAIC method

Slant asymptotes

Optimization

The area problem

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

Properties of integrals

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

Volumes


Midterm 1

Practice Midterm 1 (Steel)   Solutions   (Note: For the old version, the corresponding problems are: 3 page 128, 35 page 164, N/A, and 48 page 188)

Midterm 1 (Peyam)   Solutions

Midterm 1 (Peyam; only do 1 and 2)   Solutions

Midterm 1 (Borcherds)   Answer Key

Midterm 1 (Christ)   (Brief) Solutions

Midterm 1 (Haiman)   Solutions

Midterm 1 (Vojta)   (Brief) Solutions

Problems covered during the Midterm 1 - Review Session   Answer Key

Midterm 2

Practice Midterm 2 (Steel)   Solutions

Midterm 2 (Peyam; ignore 1 and 2)   Solutions

Midterm 2 (Peyam)   Solutions

Midterm 2 (Borcherds)   Answer Key

Midterm 2 (Christ)   Solutions

Midterm 2 (Haiman)   Solutions

Midterm 2 (Vojta)   Solutions

Exponential Growth/Decay - Problems

Related rates - Problems

Optimization - Problems

Harder optimization and related rates - Problems

Miscellaneous Midterm 2 - Problems

Problems covered during the Midterm 2 - Review Session   Answer Key

Final Exam

Practice Final (Steel)   Solutions

Final (Peyam) (this one is hard!)   Solutions

Final (also from Peyam)   Solutions

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

Limits, Derivatives, Integrals   Answer Key  

Problems covered during the Final Exam review Session: Part I   Part II   Part III   ( Answers )


Schedule


Progress

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

AB Calculus Manual (Revised 1/2016)

This page provides the AB Calculus Manual for the classroom - all chapters of this manual are provided as free downloads! This section is a complete high school course for preparing students to take the AB Calculus exam.

 

In addition to the Essentials section of the manual that provide complete coverage of all topics for the AB exam, there is a Non-Essentials section as well that givers topics that are relevant to AB calculus but not on the actual AP exam. There is also a Review section that goes over the most common algebraic concepts that give students trouble.

 

This manual can easily replace an expensive textbook. Teachers teach right from it and students write in it.

 

The Solution Manual is exactly the same as the student manual except that the solutions with all important steps are shown. There is a one-to-one relationship between the pages of the student manual and the solution manual. So, for example, page 73 will have a series of problems and blank space for the students to write in the solutions. The solution manual's page 73 will have the same problems but with the solutions shown.

 

New: In addition, a set of answer pages (no shown work, just the answer) comes with the solution manual.  It is also available in download form as a stand-alone product.

 

Purchase the Calc AB Solution Manual!
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Only $129.95
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Calc AB Answers only (no work

shown) in download form.

Only $14.95.

 

 

AB Calc Cover Pages

ABSolutionsp000Cover.pdf  0.5MB

Download
Free
Essentials

Pages 1-26

01. Introduction

02. Tangent Lines

03. Slope secant/tangent

04. Limits graphical

05. Limits Algebraic

ABStudentsp001-026.pdf  4.4MB

Download Free

Pages 27-46

06. Derivative definition

07. Derivatives w/ technology

08. Differentiation techniques

09. Chain Rule

ABStudentsp027-046.pdf  4.6MB

Download Free
Pages 47-69
10. Derivatives of trig functions
11. Implicit differentiation
12. Derivatives transcendentals
13. Derivatives of inverses
14. Linear approximations

ABStudentsp047-069.pdf  4.4MB

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Pages 70-93
15. Continuity/differentiability
16. Related rates

ABStudentsp070-093.pdf  2.5MB

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Pages 94-121
17. Straight-line motion
18. 3 important theorems
19. Function analysis

ABStudentsp094-121.pdf  4.5MB

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Pages 122-151
20. Curve sketching
21. Absolute extrema
22. Optimization
23. Economic optimization
24. L'Hospital's rule

ABStudentsp122-151.pdf  3.3MB

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Pages 152-170
25. Indefinite integration
26. u-substitution
27. Riemann sums

ABStudentsp152-170.pdf  3.9MB

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Pages 171-184
28. Definite integrals
29. Accumulation function
30. Fundamental Theorem

ABStudentsp171-184.pdf  3.8MB

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Pages 185-198
31. Definite integrals u-sub
32. Integrating transcendentals
33. Motion revisited

ABStudentsp185-198.pdf  2.3MB

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Pages 199-212
34. Average value, 2nd FTC
35. Inverse Trig
36. Area between curves

ABStudentsp199-212.pdf  3.2MB

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Pages 213-240
37. Volumes

38. Integral Applications (just added)
39. Slope fields
40. DEQ's
41. Exponential growth
42. Other growth models

ABStudentsp213-240.pdf  3.6MB

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Non-Essentials
Pages 241-265
1a. Introduction
12a. Logarithmic differentiation
14a. Differentials
24a. Newton's method
26a. L'Hospital advanced
29a. Exact area w/limits
37a. Volume shells

ABStudentsp241-265NonEss.pdf  5.1MB

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Review
Pages 266-276
Complex fractions
Inverses
Exponentials/logs
Graphical solutions
Sigma notation

ABStudentsp266-276Review.pdf  3.4MB

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Free

 

Calculus Review questions are available on the
AP Calc Review page: click here

(Previously items 49 and 50.)

 

 

 

Purchase the Calc AB Solution Manual!
Only $99.95
(for download)
 
Full Calc AB Manual in printed form.
Only $54.95
(plus $10 shipping)
 
Calc AB Solution Manual in printed form.
Only $129.95
(plus $10 shipping)
 

Calc AB Answers only (no work

shown) in download form.

Only $14.95.

 

 

 

 

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