Instructor: Dr. Shari Ultman

Learning Assistants: Alex Hughes and Sami Johnson
• Making Connections: Tuesdays 3:00-4:15, ILC room 313
• Tutoring:
• Thursdays 9:00-11:00 in the Atrium of the Engineering Building
• Thursdays 3:00-4:15 in ILC room 313

Class Meetings
• Section 001: MWF 3:00--4:15pm, Education Building room 112.
• Section 002: MWF 9:00--10:15am, ILC room 402.

#### Announcements

Fri 5/10:Homework Assignment #13 on WebAssign: Some changes have been made to the due date for HW #13 in order to allow people who finish the assignment early to access "practice another version". The new due date is ten minutes before class on Friday --- however, you can automatically request an extension, and will not lose any points for doing so. Upshot: you have until 8:00am Monday 5/13 to finish this assignment. To continue working on it after class on Friday 5/10, use the "request extension" (you will not be penalized).

Thurs 5/9: Extensions on all WebAssign assignments (including homework assignment #13) will close on Monday 5/13 at 8:00 am. You will still be able to use "practice another version" after that time.

Mon 5/6: The plan for the rest of this week: today, we discuss curl, Green's theorem, and Stokes' Theorem; Wednesday, we discuss divergence and the Divergence Theorem. The WebAssign assignments corresponding to Monday and Wednesday's classes will be due at 11:59pm on Friday 5/10. Friday's class will be devoted to questions about WebAssign #31 & 32, and homework assignment #13 (which will be due on Monday 5/13 at 8:00am).

Thurs 5/2:Exam 4 will be returned in class tomorrow. The majority of class time will be spent working in groups on the problems in WebAssign assignment #30: Vector Surface Integrals. If you have a laptop or other mobile device that can access WebAssign, please bring it.

Mon 4/29: There's a subtlety in problem #11 of WebAssign assignment #28 ("Conservative Vector Fields"); you are performing work against the field. In other words, the work performed is the negative of the value of the line integral of F over the given curve: $\textrm{Work} = - \int_C \vec{F} \cdot d\vec{s}$.

Fri 4/19: There is a WebAssign assignment due Monday 4/22. It is a review of material we will be using for the remainder of the course.

(from xkcd)

Thurs 4/5: Two notes on the WebAssign problem set on integrating in polar coordinates (due on Friday):

• For problem #4, the "practice another version" solution key uses a triple integral to find the volume. We will discuss triple integrals and volume beginning on Friday, but for now, use a double integral (this is the same idea as the volume example we did in class on Wednesday).

• Problem #8 involves a boundary curve $x + y = c$. This is not one of the curves you will be responsible for in polar integrals on an exam, which are:
• circles centered at the origin: $r=c$;
• rays from the origin: $\theta = c$;
• lines parallel to the coordinate axis: $y = c$ or $x = c$.
But it's a good exercise. Hint: to find lower limit of integration with respect to $r$, use polar coordinates to write the equation $x + y = c$ as $r\cos\theta + r\sin\theta = c$, then solve for $r$. Integrate in the order $dr \, d\theta$.

Wed 4/3: Dr. Ultman's office hours are cancelled today.

Wed 3/20: A reminder regarding notes for the exam. You are allowed one side and one side only of an 8.5" x 11" sheet of paper for handwritten note. I will be checking notes at the beginning of the exam. If you are using both sides, your notes will be confiscated. You are also allowed to print out and use the derivatives/integral sheet, and the equation sheet. These may not contain extra notes.

Mon 3/18: Several announcements:

• Estimates of course grades based on work competed so far can be found on BlackBoard (Gradebook).

• Also on BlackBoard are the answers to the second two sections of the additional problems from Friday's class. They can be found on the Discussion Board. Feel free to use these threads to discuss your approaches to these problems. As always, if you find a mistake and you are the first person to email Dr. Ultman, you will get one point extra credit on the next exam.

• Sami wants to know whether she should change the time of her tutoring session, currently scheduled from 9:00--11:00 on Thursdays (the Thursday afternoon session will continue to meet at the same time). Please take a moment to participate in the survey.

• Finally, there will be an exam review tomorrow (Tuesday 3/19) in ILC room 313 from 3:00-4:15. It's open to everyone. Rumor has it, there will be chocolate.

Fri 3/15: Additional problems from today's class.

Mon 3/4: Please note: today is the final day to withdraw. All you current scores are posted: HW 1--4, Midterm 1 and clicker scores through Wed 2/27 are posted on BlackBoard. WebAssign scores are available on WebAssign. Information about computing your grade can be found on the course syllabus.

Tues 2/24: If you missed the motion on circles problems listed for Homework Assignment #3, you can do them now and turn them in on Friday (2/27 3/1). If you do this, please turn in these problems at the end of Assignment #4.

Also, a reminder on entering trig functions on WebAssign. I the argument is a scalar multiple of t, use parenthesis or leave a space. For example, enter "$\sin 5t$" or "$\sin(5t)$", not "$\sin\!5t$".

Thurs 2/21: Arc length integrals are often complicated to evaluate, usually due to the square root in the integrand. It is good practice to try working out these integrals by hand, but it is not necessary to spend unduly large amounts of time on it. Using look-up tables and technology for an assist on complicated integrals is valid (there's a link to Wolfram Alpha on the Links'' page). If you use a table or technology on written homework assignments, please make a note so that the grader knows you haven't simply skipped steps.

Wed 2/20: Regarding problem #10 from the WebAssign assignment due today... We discussed this in the afternoon section. I made a very common mistake. I made the problem more difficult than it actually is. What I tried to find was an explicit parametrization so that the speed of the particle as it passes through the point $(4,1/16)$ is 2 cm/s. What the problem actually asked for was just the velocity vector at the one point $(4,1/16)$.

To find the velocity, all that's needed is the direction and magnitude. The direction is the unit vector tangent to the curve. The magnitude is the speed given in the statement of the problem.

Use the parametrization $\vec{r}(t) = $, take its derivative, and evaluate the derivative at $t=4$. The derivative $\vec{r}'(4)$ is tangent to the curve at the point $(4,1/16)$. Find the unit vector by dividing by the magnitude: $\hat{e}_{\vec{r}'(4)}=\vec{r}'(4)/\|\vec{r}'(4)\|$. Finally, multiply the unit vector by 2.

Tues 2/19: The course webpage may be unavailable from approximately 7:30-8:30am tomorrow morning.

Fri 2/15: Assignment 3 has been updated; please note the changes to the problems assigned corresponding to today's lecture. Also, see the end of the slides for today's class for notes on the examples appearing on the slides (we didn't get to all of them in class).

Wed 2/13:

• The deadline for finishing the WebAssign assignment #07/Introduction to Curves (for full credit) has been extended to 11:59pm on Friday. There is no written homework due this Friday.

• The graphing application I use on class is a Mac utility called "grapher" (located in the "utilities" folder). On the "Links" page are links to online graphing applets, and to a download site for a PC graphing application. (Disclaimer: I have no experience with this application. As always, exercise caution when downloading applications from the internet.)

Thurs 2/7: Internship Opportunities at INL

Two WebAssign announcements:

• If you are having problems accessing the "practice another version" button after your third submission: the "practice another version" button will only appear after you have either clicked in answer box, or have checked your previous submissions. If that does not work, clear your web browser cookies and temporary file cache. If that still does not work, try using a different browser.

• There may occasionally be problems with WebAssign questions that do not become apparent until after students begin working on them. An example is question #9 on assignment #06 (planes). WebAssign was incorrectly marking some students' answers, telling students that the planes were parallel when in fact they were not. When a problem of this type is detected, the question will remain in the assignment, but its point value will be set to zero. When this occurs, there will be a note at the top of the assignment (under either "instructions" or "description").

Mon 2/4: Don't forget, the second "making connections" session is tomorrow, Tues 2/5 in ILC 313, 3:00--4:15. There's room for more people to join. Tomorrow's topic will be the dot and cross product, with a focus on vector projections and decompositions.

Information for Midterm 1 has been posted on the Exams page.

Wed 1/30: Browsers and WebAssign: some people are reporting that WebAssign works best using Google Chrome for PC's and Firefox for Macs.

Answer to the "angle between roads" problem from class today: $\theta \approx 1.59$ radians ($\theta \approx 91.12^{\circ}$) --- or, if your choices lead you to measure the supplementary angle, $\theta \approx 1.55$ radians ($\theta \approx 88.88^{\circ}$).

WebAssign #03 (Dot Product 1) problem #8 part 1: WebAssign is behaving strangely. For some versions of this problem, if the magnitude is an integer $n$ it will only accept answers in the form $\sqrt{n^2}$. I've reported the problem to WebAssign and set the point value to this part to zero (so problem #8 is worth 5 points, not 6).

Tues 1/29: Reminder: clicker points will be counted beginning tomorrow. In order for your responses to be counted, you need to register your device on BlackBoard. This includes ResponseWare.

To register, go to the course BlackBoard site. Under "Tools", follow the "TurningPoint Registration Tool" link. Enter your response device ID as prompted. If you are using ResponseWare, enter your response ID.

Note to ResponseWare users: even if your response ID and name appeared correctly on the "Clicker Test" .pdf documents for Wed 1/23 and Fri 1/15, you still need to register your response ID on BlackBoard. If you have questions or problems registering, contact Dr. Ultman.

Mon 1/28: A reminder that the first "Making Connections" session (led by the class Learning Assistants Alex Hughes and Sami Johnson) will be held tomorrow from 3:00--4:15pm in ILC 313. These sessions are designed to help students see how the material discussed in class is used in the homework problems. Seating is limited to the first 30 students who show up. Please bring your textbook, or some way to access the ebook.

Drop-in tutoring and help sessions with the Learning Assistants begins on Thursday this week. Office hours with Dr. Ultman continue. See the schedule above for times and locations.

Clicker Test for Monday 1/28: you should be able to check you clicker on BlackBoard gradebook. The number in the column "clicker test 01/28" should be the number of responses recorded for your clicker in class today. (A question for ResponseWare users: do your responses show up on BlackBoard?)

Fri 1/25: To everyone reporting the problem with the WebAssign feedback on the differentiation review: thank you. It should be working now. Let me know if you have further problems.

Thurs 1/24: WebAssign should always indicate whether or not a submitted answer is correct by displaying a green check mark if an answer is correct or a red "x" if it is incorrect.

A new forum has been added to the "Discussion Board" on BlackBoard: "Talk to Alex and Sami". Alex Hughes and Sami Johnson (the class Learning Assistants) will be moderating this forum.

You can now "subscribe" to all forums on the BlackBoard "Discussion Board". If you click the "Subscribe" button at the top of each forum page, you will be sent an email whenever a new comment is posted on that forum. You need to subscribe to each forum separately.

Wed 1/23: BSU has a new clicker support website, including users guides and information about using mobile devices (ResponseWare).

Results of today's clicker tests are posted on BlackBoard under "Course Documents".

A General Discussion Forum and a Study Group Forum have been opened on the "Discussion Board" on BlackBoard.

Thurs 1/17: If you have an older model of clicker, it should work for this class. We'll run clicker tests on the first three days of class. Clicker responses won't be counted for a grade until Wed 1/30.

Tues 1/14: Welcome to Math 275, Spring 2013. If you find broken links, typos or other problems in any of the pages of this course website, please notify Dr. Ultman at the e-mail address above. Some information that may be of immediate interest:

• The Course Syllabus.
• Information about the course text (Rogawski's Calculus: Early Transcendentals, 2nd edition), including available versions, can be found on the Course Texts page.
• We will be using WebAssign. Registration information is here.
• We will be using "clickers".
• To register your clicker, log onto the class site on BlackBoard. Go to "Tools > TurningPoint Registration Tool" and enter your device ID as prompted.
• If you prefer to use a mobile device instead of a clicker, you can buy a ResponseWare license either at the BSU Bookstore or online here. The school code is Xuj4. More information about using mobile devices can be found here. A warning: due to the wireless capabilities in the BSU classrooms, ResponseWare (the platform that enables mobile devices to be used as clickers) can be unreliable. If you choose to use a mobile device instead of a clicker, you do so at your own risk.
• You are responsible for registering your clicker (or mobile device) by 5:00pm on Tuesday 29 January.
• The three lowest "clicker" scores will be dropped. If you miss a class or forget to bring your clicker, etc., this will count as one of your low scores.
• What you need to know from previous math classes.