Welcome to Math 125

End of Term

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.

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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 handwritten sheet of notes.
(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.

-------------------------------------- Previous weeks: -----------------------

Week 10 (last):

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 Quiz Section:
Tuesday: Hwk Q&A + Bring Worksheet "Review for the Final Exam- part I"
Thursday: Hwk Q&A + Bring Worksheet "Review for the Final Exam- partII"

Homework: Sections 9.1 & 9.3 close Tuesday, and 3.8 MiscDiff Eqs is due Thursday.

Week 9 (March 4-8):

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)

Homework: Section 8.1 closes on Tuesday. Section 8.3 is due Thursday (start it early).

This week's lecture notes: Monday (8.3), Wednesday (8.3/9.1)

Week 8 (Feb 25-March 1):

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)

This week's lecture notes: Monday (7.8), most of Wednesday's in class review Q&A, Friday (8.1)
Last week's lecture notes:Solutions to section 7.5 Handout, Wednesday (7.5/7.7), Friday (7.7/7.8)

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

Week 7 (Feb 18-22):

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.)

This week's lecture notes:Solutions to section 7.5 Handout, Wednesday (7.5/7.7)

Last week's lecture notes: Monday (7.2/7.3), Wednesday (7.3/7.4), Friday (7.4/7.5)

Week 6 (Feb 11-15):

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!)

Homework: Sections 7.1&7.2 close on Tuesday, and section 7.3 closes on Thursday night.

This week's lecture notes: Monday (7.2/7.3), Wednesday (7.3/7.4), Friday (7.4/7.5)

Week 5 (Feb 4-8):

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!!

This week's lecture notes: Monday (6.4/6.5), Wednesday (7.1), Friday (7.2, with a couple extra examples)

Week 4 (Jan 28-Feb 1):

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

Homework: Sections 6.2 & 6.3 are due Tuesday night.

This week's lecture notes: Monday (6.3), Friday (6.4)

Week 3:

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.

Week 2:

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.

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Welcome! Tasks to accomplish during the first week:

1) Read the Syllabus 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 homework 4.9, due Thursday night.
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!