Rating: **4.8**/5.0 (39 Votes)

Category: Homework

Homework Assignments

Homework will be collected at the due dates indicated below, and should be completed by 5 pm (on the indicated due date). Your completed homework assignments should be submitted into the homework dropbox (located in the basement of AP&M) labeled 20B and your TA's name.

Please note that due to scheduling constraints, some assignments are longer than others.

A good practice is to do the homework questions associated with a particular section immediately after it is covered in class.

Please observe the following neatness guidelines for homework that you turn in to be graded.

Otherwise, you will not receive full credit and your assignment may not be graded at all.

- Write cleanly and legibly on clean, white paper that is not torn from a spiral notebook.
- Write your
*Name*.*PID*. and*Section*on the front page of your assignment.

*Section 5.2:*13, 51, 58, 80*Section 5.3:*11, 23, 35, 43, 46*Section 5.4:*5, 11, 17, 21, 31

*Section 5.5:*8, 12*Section 5.6:*14, 18, 24, 26, 34, 40, 50, 60, 82, 84, 92*Section 6.1:*3, 16, 18, 30, 38, 42, 50

*Section 6.2:*7, 10, 12, 13, 20, 21, 52, 53, 56*Section 6.3:*9, 11, 13, 16, 23, 25, 26, 27, 45, 46, 48, 50*Section 7.1:*14, 24, 28, 36, 38, 42, 44, 46, 48, 52, 58, 70

*Section 11.3:*8, 10, 12, 16, 18, 20, 24, 26, 38, 54*Section 11.4:*7, 8, 10, 12, 13, 14, 16, 18*Note:*Skip*Arc Length and Speed*(pg 620-623)

*Supplement 1.6:*1, 2, 3, 4

*Supplement 2.2:*1a, 2, 3, 4, 5*Section 7.2:*2, 6, 10, 12, 22, 32, 34, 40, 47, 48, 52, 54*Section 7.4:*3, 4, 8, 12*Note:*Skip Hyperbolic Substitution and Inverse Hyperbolic Functions (pg 450-452)

*Supplement 3.2:*1, 2, 4, 6, 8

*Supplement 4.4:*1, 2, 3*Section 7.5:*6, 8, 12, 22, 26, 36, 46, 67*Supplement 5.6:*1, 2, 3, 4*Section 7.6:*8, 15, 16, 28, 35, 42, 44, 45, 49, 67, 70, 72

*Section 7.8:*4, 8, 10, 34 (Skip error bound), 36 (Skip error bound)*Note:*Skip Error Bounds (pg 456-460)

*Section 10.1:*4, 7, 11, 14, 18, 24, 36, 44, 50, 68*Note:*Skip Bounded and Monotonic Sequence Definitions and Theorems (pg 543-545)

*Section 10.2:*2, 4, 6, 12, 14, 21, 25, 27, 32, 36*Section 10.3:*3, 10, 14, 16, 18, 24, 26, 32, 36, 40, 46, 54, 60*Section 10.4:*6, 7, 9, 11, 24, 25, 28*Note:*Skip Conditional Convergence (pg 570-573)

*Section 10.5:*3, 6, 10, 17, 22, 24, 43, 44, 50, 51*Section 10.6:*8, 11, 18, 23, 28, 35, 36, 37*Note:*Skip Power Series Solutions of Differential Equations (pg 585-588)

*Section 10.7:*1, 5, 9, 20, 30, 31, 37, 54, 55*Section 9.1:*2, 3, 6, 13, 17, 21, 34, 35, 43*Section 9.2:*5, 9, 17, 22

Midterms:

Thursday, January 31

Thursday, February 28

*Final Exam Stats:* Top Quartile: 82/100, *MEDIAN: 71/100*. Low Quartile: 59/100*Class Grades Stats:* Top Quartile: 3.6, MEDIAN: 2.9, Low Quartile: 2.2

Grades are now posted in Catalyst. PLEASE READ THIS CAREFULLY FIRST:

* ALL your scores are posted, including those dropped. As stated in the syllabus, your lowest non-blank quiz and worksheet scores were NOT counted towards your respective averages, even though they do appear in your grade record. The dropping happens in calculations. Any blank score is excused and is also not counted toward your grade.

* If you'd like to see or pick up your final exam, you can just stop by at my office hours posted below. Please let me know your class (Math 125), your quiz section (FA, etc), and your name. You are welcome to review your exam and ask any questions, but if you remove the exam from my office there will be no later re-grades. *Office hours: Monday, 4/1, 1:30-2:30pm, Wednesday, 4/3, 2-3pm.*

You can also pick up your exam without any appointment at any of my *spring quarter office hours* that are held in my office ( *Mondays, 1:30-3:30pm* ). Or, you can email me for an appointment; if you do, list all your free times for a period of at least 2-3 days.

Have a good Spring Break!

Final exam: *SATURDAY, March 16, 1:30pm-4:20pm, in MLR 301*. *Cover-page instructions (READ* )

On exam day, please *do not enter the exam room until we ask you to do so*.

Bring: *Photo ID. a non-graphing & non-integrating calculator, pencils and erasers. May also bring:* one 8.5''x11'' two-sided

(Using an inappropriate note-sheet or any extra papers is a form of academic misconduct.)

REVIEW/study:

Here's a brief*list of the main topics**covered this quarter*.

Review the examples done in your text and lecture, plus any problem types that you found more difficult when you encountered them on your homework, quizzes, or exams.

PRACTICE:

If you need them, here are some *Practice Integrals* (+ solutions. but first try them yourself!)*Here's the**final exam ARCHIVE* (contains almost all final exams since 2005, + answers)

Here's another final, from 2004, with detailed solutions.

The final exam is comprehensive and about 10 pages long.

Read each question very carefully and follow directions. Check your work if you have time.

Start with whichever question looks easiest, work carefully, do your best, and don't spend too long on any one problem or page.

Show your work and use correct notation! Answers with incomplete/missing work may not get much credit.*There are different versions of the exam.* Do not cheat -- it is a serious academic offense and will not be tolerated.

This week we'll discuss some applications of diff eqs on Monday (topics from 3.8, 9.4), then review for the final for the rest of the week.

*In Lecture:* Sections 8.3, 9.1, 9.3, and some of 3.8*.* Please print and bring this handout: §8.3. Section 8.3 covers a Physics application: Center of Mass. The topic starts with a summation in the case of discrete data and eventually replaces the summation with an integral for the case of a thin plate.

Many applied problems in Physics, Engineering, Economics, etc can be modeled using Differential Equations. They are often very difficult to solve and we will focus on the just easiest cases. The notation and terminology are introduced in §9.1. Then we discuss Separable Equations in §9.3. These are differential equations that can be solved using the techniques we have been studying this quarter. Several applications are covered, including mixing problems.

*In Quiz Section*.

Tuesday: Hwk Q&A & Midterm Return. Here are the solutions to Midterm 2: version 1 & version 2

Thursday: Worksheet 7 (Diff Eqs) (<--PRINT & BRING)

In Lecture: We'll wrap up section 7.8, then review for Thursday's midterm. On Friday, we'll start the last batch of applications, by discussing section 8.1 (arclength of a curve)

In Quiz Section:

Tuesday: Hwk Q&A (7.7-7.8) & Midterm Prep

Thursday: Midterm 2

Homework: Sections 7.7 & 7.8 close on Tuesday. (Also, review/practice for the midterm.)

MIDTERM 2: Thursday, Feb 28, in your quiz section

It covers: 6.4-6.5, 7.1-7.5, 7.7-7.8

Bring: a simple scientific (non-graphing, non-integrating) calculator, photo ID

and one 8.5x11 handwritten sheet of notes (two-sided OK).

Not allowed: cell phones, music players, other electronic devices.

Here's a list of the main topics to review <-- READ

Here's a departmental exam archive <-- PRACTICE

Here are a couple old exams I gave: Winter '05 (+ sol ), Spring '05 (+sol ) <-PRACTICE

There will be an extra review Q&A session on Wednesday, 4-5:20, PAA A110.

CLUE is holding a review session for Math 125 on Wednesday night, 8:00-10:00pm, in MGH 38

*In Lecture:* Integrals requiring several techniques were presented in *Section 7.5*. Lots of practice is the only way to get good at integration. Here are also some Extra Practice Homework Problems in addition to the usual WebAssign homework this week.

We have already seen how to approximate integrals using Riemann Sums. This works quite well if we use midpoints for our sample points. *Section 7.7* introduces two more techniques for approximating integrals, the Trapezoid Rule and Simpson's Rule. These are key techniques for use in applications. You may skip the error estimation formulas.

Improper Integrals are covered in *Section 7.8*. These are a combination of a Definite Integral and a Limit. There are two types of Improper Integral and you should understand the difference. You should understand convergence and divergence. You'll probably have to review one-sided limits when studying integrals that are improper because of discontinuity. L'Hospital's Rule is also useful here. Here's a limits quick-review sheet .

*In Quiz Section*.

Tuesday: Hwk Q&A (7.1, 7.2) & *Quiz #4* (*from* 7.2 & 7.3)

Thursday: *Worksheet 6,* Integration Techniques (<-- please *print & bring with you!* )

*Homework*. *Sections 7.4&7.5* close on *Wednesday. (* Afterwards, work on 7.7&7.8, and review/practice for the midterm.)

*In Lecture:* This week we'll continue with methods of integration. You may find that you need to *review some trigonometry, and completing the square* . when studying *Section 7.3*. Many students find this section difficult. The final integration technique we cover is *Partial Fractions in Section 7.4*. This is a fairly complex algebraic technique for simplifying rational functions. To make things easier, we cover only the cases where the denominator factors into linear terms, is itself an irreducible quadratic, or factors into (possibly repeated) linear terms times a single irreducible quadratic term. This should give you the basic idea of the technique. You'll probably have to *review long division of polynomials* . The technique of Rationalizing Substitutions is also in this section.

Integrals requiring several techniques are presented in *Section 7.5*. These can get rather difficult. In this section we'll also practice identifying which method is most likely to work.

*In Quiz Section*.

Tuesday: Hwk Q&A (7.1, 7.2) & *Quiz #3* (*from 6.4 work* )

Thursday: *Worksheet 5,* Partial Fractions (<-- please *print & bring with you!* )

*In Lecture:* This week we'll wrap up the Ch 6 applications (a bit more about work, then discuss average value in 6.5), and we'll start studying additional methods of integration. Chapter 7 is devoted to techniques for computing integrals. Some of these can be rather challenging. We start with Integration by Parts in Section 7.1. This is basically the Product Rule done backwards. Once you get the hang of it, you should not find it too difficult. The Trigonometric Integrals in Section 7.2 are needed to do Trigonometric Substitution in Section 7.3. Some of the integrals in Section 7.2 can get quite lengthy (and tricky, see Example 8).

*In Quiz Section*.

Tuesday: Homework Q&A and midterm return. Here are the solutions: *version 1* and *version 2* .

Thursday: *Worksheet 4, Integration By Parts* (<-- please *print & bring with you!* )

*Homework*. *3 assignments from Sections 6.4/6.5* close on *Thursday night. <<<--- This is a hard homework -- start it early!!*

*MIDTERM 1*. *Thursday, Jan 31, in your quiz section*

It covers: 4.9, 5.1-5.5, 6.1-6.3

Bring: a scientific (non-graphing, non-integrating) calculator, one 8.5x11 handwritten sheet of notes (one or two-sided).

Not allowed: cell phones, music players, other electronic devices.

Here's a list of the main topics to review.

Here's a departmental exam archive

Here's the exam I gave my Math 125 students last winter: Winter 2012 Midterm 1 + *solutions*

CLUE is holding a review session for Math 125 on *Wednesday night,**8:00-10:00pm, in room 389 of Mary Gates Hall*

*In Lecture:* Monday we'll finish section 6.3 (handout. plus some extra examples), Wednesday we'll review for the midterm, Friday we'll discuss a hard application, work (6.4)

*In Quiz Section*.

Tuesday: Homework Q&A and midterm prep

Thursday: Midterm I

*In Lecture:* Stewart 6.1-6.3. This week we'll discuss some applications of integrals: area between curves, and volumes of 3D solids of revolution. Many students have trouble visualizing these 3D solids. You should understand when to integrate with respect to x or y, and when to use shells or washers.It is important to understand how the formulas are derived. This helps you to learn how to apply integration to the problems you encounter in other fields. *Lecture Handouts:**Areas Handout (6.1)* & *Volumes Handout (6.2, 6.3)*

*In Quiz Section*.

Tuesday: Homework Q&A and *Quiz #2 (20 minutes, from 5.3 & 5.4)*

Thursday: Homework Q&A and Worksheet #3 (Area Between Curves) from the *worksheets packet. ← Remember to bring the worksheet with you!*

*Homework*. *Sections 5.4 & 5.5 are due**Wednesday night*. and *Section 6.1 is due on Thursday night*. in Webassign. Login via the link on the left sidebar.

*In Lecture:* Stewart 5.3-5.5. This week we'll discuss the Fundamental Theorem of Calculus, indefinite integrals, and a first method of integration (by substitution).

FTC shows the relationship between definite integrals and derivatives. Integration by substitution is helpful to recognize and reverse chain rule differentiation. *Handout for Friday's lecture* .

*In Quiz Section*.

Tuesday: Homework Q&A and *Quiz #1 (20 minutes, from 4.9-5.1) + Solution*

Thursday: Homework Q&A and Worksheet #2 (FTC practice) from the *worksheets packet. ← Remember to bring the worksheet with you!*

*Homework*. *Sections 5.1 & 5.2 are due**Tuesday night*. and *Section 5.3 is due on Thursday night*. in Webassign. Login via the link on the left sidebar.

*Welcome!**Tasks to accomplish during the first week:*

1) Read the S yllabus carefully. Make sure you understand the class rules.

2) Look over the class Schedule and mark all exam dates, homework due dates, etc on your calendar

3) Read carefully and bookmark the departmental math 125 website: http://www.math.washington.edu/

m125/.

4) *Print the worksheets packet**http://www.math.washington.edu/*

*m125/AllWorksheets125Win2013.pdf**. Bring them with you to quiz section on Thursdays starting this week.*

(Do not solve activities ahead of quiz section. They are to be attempted in groups, in class, with your TAs assistance)

5) LOGIN to Webassign (use your UWNetID). Play around a little -- explore its features.

Then read the textbook section 4.9 and start working on

6) Make sure you know well the following prerequisite topics. If you are rusty on any of these, catch up and get help as soon as possible!

Read each instruction and asnwer the exercises.

*a) You will find two exercises in this part. Click on each first symbol to practice short and long pronunciation. First, there are some examples, then you can do the exercises.*

*b) This is a pair of videos to study the use of these sounds. They are very interesting. Watch and repet them after her.*

*VERY IMPORTANT:* It is no necessary to print this exercise; The only you have to do it’s to post a comment on CELe – S-7-4-A space. Write your name and the number of the homework, for example: *HOMEWORK # 2 SYLVIA.*

*INSTRUCTIONS*. Choose one option and answer the exercises. When you finish print it, We will revise it next class. …

*If you want to practise more, you can click on:*

*3. READING AND LISTENING*

Click on the link, watch and listen to the song; answer the exercise. Print it with your result and add them to your portfolio.

Have an excellent week; see you next Saturday.

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Chapter 6 homework

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- Question 6: Harry Keyser

bag2 AT illinois DOT edu

- Office hours on Dec 13 is moved to Dec 9. Location: Room 145 Altgeld Hall. Time: 5:00 - 6:00 pm

- The material in Making Math serves as the textbook for the course

- The video below is intended to show you how to get access to the learning material in Making Math, work on the homework and submit your homework. The video is based on the material in the “Welcome” page of the Making Math tutorial “Getting Started with Making Math”.
- You should receive an email containing the enrollment URL of the course. Once you clicked into the enrollment URL, you will be led through a step-by-step process guiding you to create an account, validate you .edu email address, get a Mathematica passcode (a one-time process) and pay for the course. You should complete the above procedures before you start watching the video.
- Video: A quick introduction to Making Math

- Homework 1: due Tuesday. Sep 10, 2013, 11:55PM
- 1.3 Try It 01, 1.4 Try It 02, 2.3 Try It 01, 2.4 Try It 02

- Homework 2: due Monday. Sep 16, 2013, 11:55PM
- 2.5 Try It 03, 2.6 Try It 04, 3.3 Try It 01

- Homework 3: due Monday. Sep 23, 2013, 11:55PM
- 3.4 Try It 02, 3.5 Try It 03, 3.6 Try It 04

- Homework 4: due Saturday. Sep 28, 2013, 11:55PM
- 4.3 Try It 01, 4.4 Try It 02, 4.5 Try It 03

- Homework 5: due Friday. Oct 11, 2013, 11:55PM
- 5.3 Try It 01, 5.4 Try It 02, 5.5 Try It 03

- Homework 6: due Friday. Oct 18, 2013, 11:55PM
- 6.3 Try It 01, 6.4 Try It 02, 6.5 Try It 03

- Homework 7: due Friday. Oct 25, 2013, 11:55PM
- 7.3 Try It 01, 7.4 Try It 02

- Homework 8: due Friday. Nov 1, 2013, 11:55PM
- 8.3 Try It 01, 8.4 Try It 02, 8.5 Try It 03

- Homework 9: due Saturday. Nov 9, 2013, 11:55PM
- 9.3 Try It 01, 9.4 Try It 02, 9.5 Try It 03, 9.6 Try It 04

- Homework 10: due Friday. Nov 15, 2013, 11:55PM
- 10.3 Try It 01, 10.4 Try It 02, 10.5 Try It 03, 10.6 Try It 04

- Homework 11: due Thursday. Dec 5, 2013, 11:55PM
- 11.3 Try It 01, 11.4 Try It 02, 11.5 Try It 03

- Homework 12: due Monday. Dec 9, 2013, 11:55PM
- 11.6 Try It 04, 12.3 Try It 01, 12.4 Try It 02, 12.5 Try It 03

This calender contains the suggested date to start each unit, as well as homework due date and midterm exams date.

- Homework: 40%
- Two midterm exams each worth: 15%
- Final: 30%
- Total: 100%

All violations will be dealt with in accordance with University policy http://www.admin.illinois.edu/policy/code/article1 part4 1-401.html. Infractions include, but are not limited to, submitting work that is not your own, using notes, a calculator or ANY other electronic device during an exam..

Students with disabilities who require reasonable accommodations to participate in this class should see me and contact DRES as soon as possible.

If you have an illness, accident, family or other emergency that prohibits you from participating in any aspect of this course, you must have the Dean on Duty send me a letter to excuse you from your absence. You can contact the Dean on Duty at (217) 333--0050 or email: helpdean@illinois.edu. For more information go to Dean on Duty website.

Spring 2008, Math 430/630 - section 001

[ Lectures and homework | Graded assignments ]

Plus and minus grades will be assigned in borderline cases.

*Practice Homework:* The purpose of the exercises from the practice homework is to give you a chance to practice and refine the theory learned in class. You do not have to turn in these problems. Homework is going to be assigned after every section we cover in class. It is critical that you complete these assignments - the only way to learn math is by doing math!

*Graded homework:* Some of the assigned homework will be graded and will contribute 30% to your final course grade. The list of graded homework problems will be announced in class and can also be found online (see below). Please turn in the assigned homework on time, that is by the end of class on the day the homework is due. Late homework assignements will not be accepted.

*Written work:* We write to communicate. Please bear this in mind as you complete homework assignments and take exams. Work must be neat and legible to receive consideration. You must explain your work in order to obtain full credit; an assertion is not an answer. For specific suggestions see A guide to writing in mathematics classes .

*Disabilities:* Students with disabilities who will be taking this course and may need disability-related classroom accommodations are encouraged to make an appointment to see the instructor as soon as possible. Also, stop by the Office of Disability Services to register for support services.

- Attend class. You are always responsible for what is discussed in class, including announcements, home work assignments and discussion of material that is not covered in the book. If you miss a class, get a copy of someone's notes.
- Do NOT fall behind.
- Try to study with others in small groups. This is a great way to learn.

*Lectures and (practice) homework assignments:*

Review of Linear Algebra 1: Vector spaces

Review of Linear Algebra 1: Linear operators

*5.4* Invariant subspaces & the Cayley-Hamilton theorem

*5.4* Invariant subspaces & the Cayley-Hamilton theorem

*6.1* Inner products and norms

*6.1* Inner products and norms

*6.2* The Gram-Schmidt orthogonalization process

*6.2* The Gram-Schmidt orthogonalization process

*6.3* The adjoint of a linear operator

*6.4* Normal and self-adjoint operators

*6.5* Unitary and orthogonal operators

*6.5* Unitary and orthogonal operators

Spring break, no classes.

*6.6* Orthogonal projections and the spectral theorem

*6.8* Bilinear and quadratic forms

*7.1* The Jordan canonical form I

*7.1* The Jordan canonical form I

*7.1* The Jordan canonical form I

*7.2* The Jordan canonical form II

*7.3* The minimal polynomial

*7.4* The rational canonical form

*7.4* The rational canonical form

Review for the final exam

Graded homework assignments:

*Section and problems*

Thursday, February 7th

Thursday, February 14th

Tuesday, February 26

Tuesday, March 4

Thursday, March 20

Tuesday, April 22

Homework and events

*Final exam: Tuesday, December 10, 8:00-10:00 AM, Bradley 102.*

The emphasis is on Chapters 6 and 7 (about 70%), but the exam is comprehensive.

You are NOT allowed to use calculators.

*Review sessions:* Bradley 105; Sunday 08-DEC-2002, 7-8 PM, and Monday 09-DEC-2002, 4-6 PM.

A practice set is available. ( Answers ) Take its content with a grain of salt. It is only meant to give you an idea about the length and type of problems of a previous exam.

Look also over the assigned homework problems. If you need more practice problems, you can try the two practice exams from the end of our text-book.

- Sec. 7.2, Exs. 1, 3, 5, 8, 9 (see Example 5, p.436), 11*, 12, 19, 20*;

- Sec. 7.3, Exs. 1, 4, 8, 9*;

- Sec. 7.4, Exs. 1, 2, 7, 8, 9, 17, 18.

*Read:* Sections 7.2, 7.3 and 7.4 from the text-book.

- Sec. 6.3, Exs. 17, 19, 22*, 23*;

- Sec. 6.4: Read Example 8, pp.407-409; Exs. 2, 4, 5, 13, 15*;

- Review exercises, Chapter 6: 2, 5, 10, 11, 13, 21, 24*, 25, 31;

- Sec. 7.1, Exs. 2, 5, 6, 8, 12, 17, 23*.

*Read:* Sections 6.4 and 7.1 from the text-book.

- Sec. 6.2, Exs. 1, 5, 6, 8 (see Exp. 4, p.380), 11*;

- Sec. 6.3, Exs. 3, 4, 8, 9, 10, 12*, 16*.

*Read:* Sections 6.2, 6.3 and 6.4 from the text-book.

*2nd midterm exam:* Wednesday, November 13, 6-8 PM, Carson Hall Room L01.

It covers chapter 5 entirely, and 6.1. You will be allowed to use calculators.

*Review session:* Tuesday, November 12, 6-8 PM, Carson Hall Room L01.

A practice set is available. ( Answers ) Take its content with a grain of salt. It is only meant to give you an idea about the length and type of problems of a previous exam.

- Sec. 5.5, Exs. 22, 25, 27*, 28, 31, 32, 36, 37;

- Review exercises, Chapter 5, Exs. 16, 19, 22, 24, 33, 35, 36, 46a, 47;

- Sec. 6.1, Exs. 3, 6, 9, 10, 13, 15, 16, 17, 23.

*Read:* Sections 5.5, 5.6, and 6.1 from the text-book.

- Sec. 5.4, Exs. 1, 5, 8, 9, 15, 16, 20, 22, 23;

- Sec. 5.5, Exs. 1, 2, 4, 5, 8*, 9, 11, 13, 15, 17.

*Read:* Sections 5.4 and 5.5 from the text-book.

- Sec. 5.1, Exs. 3, 6, 10, 12*, 15;

- Sec. 5.2, Exs. 2, 3, 13, 16, 17;

- Sec. 5.3, Exs. 3, 8, 9, 15, 17, 20, 23, 24*, 26*.

*Read:* Sections 5.1, 5.2 and 5.3 from the text-book.

*1st midterm exam:* Wednesday, October 23, 6-8 PM, Carson Hall Room L01.

It covers all the sections discussed in class from Chapters 1, 2 and 4.

*Review session:* Tuesday, October 22, 6-8 PM, Rockefeller Center Room 1.

A practice set is available. ( Answers ) Take its content with a grain of salt. It is only meant to give you an idea about the length and type of problems of a previous exam.

*New.* As of October 15, I have placed a green binder with solutions of the graded homework problems at Baker library (in the basement of old Baker library, reserve section). Just ask for "Solution folder for Math 13" at the main desk. I shall keep this folder updated for the remaining of the semester.

- Review exercises, Chapter 2, p.168, Exs. 36, 40, 45, 49, 63*, 65*;

- Sec. 4.1, Exs. 2, 7, 11, 13;

- Sec. 4.2, Exs. 6, 7, 10, 11, 12*

(for problems 10 and 11: the arc length was defined in class and in ex. 9; compute also d*s*. ds, and ds/dt);

- Sec. 4.3, Exs. 3, 6, 10, 11, 14, 15

(the graphs of the vector fields of problems 10 and 11 can be found in the "Graphs and handouts" location);

- Sec. 4.4, Exs. 4, 5, 7, 12, 15, 26, 27*.

*Read:* Sections 4.1, 4.2, 4.3 and 4.4 from the text-book.

- Sec. 2.3, Exs. 4, 7, 11, 13, 16;

- Sec. 2.4, Exs. 2, 8, 9, 10, 13, 20, 21, 23*, 25*;

- Sec. 2.5, Exs. 1, 6, 10, 11, 15, 23, 24, 25, 28, 29, 36, 37, 43*.

*Read:* Sections 2.3, 2.4, 2.5 and 2.6 from the text-book.

****************************************************************October 9, 4:00-5:00 pm:* reception for calculus students, Collis Common Ground. (Why? To create the opportunity for students and their instructors to meet and discuss in an informal environment. Also to eat some free food :O)

- Sec. 1.5, Ex. 7;

- Sec. 1.6, Exs. 2, 5, 15, 18;

- Review exercises, Chapter 1, p.89, Exs: 69, 70;

- Sec. 2.1, Exs. 2, 6, 7, 14, 21, 25, 26;

- Sec. 2.2, Exs. 2, 9, 17.

*Read:* Sections 1.6, 2.1, 2.2 and 2.3 from the text-book.

- Sec. 1.1, pp.19-21, Exs. 18, 27, 33;

- Sec. 1.2, pp.35-39, Exs. 3, 17, 31;

- Sec. 1.4, pp.57-60, Exs. 3, 10, 21, 24, 28, 33.

*Read:* Sections 1.1, 1.2, 1.3, 1.4, and 1.5 from the text-book.

****************************************************************Note.* The problems marked with an asterisk (*) will not be graded, but I challenge you to solve them.