You can see videos of worked solutions here. I recommend you don’t watch the video for a particular question until you’ve already spent at least 20 minutes trying to answer the question on your own.
Author: Kate Poirier (Page 1 of 3)
We’ll finish up course material on Thursday, but you can get started on remaining Webwork sets now.
- Complex Numbers – Direction
- you can complete all problems now
- “argument” means “angle” or “direction”
- Complex Numbers – Magnitude
- you can complete all problems now
- Complex Numbers – Polar Form
- you can complete most problems now
- you can find the modulus (magnitude) and angle or $a+bi$ form of complex numbers $\zeta$ now
- ignore questions asking you for the product $\zeta_1 \cdot \zeta_2$ or quotient $\zeta_1 \div \zeta_2$ until after Thursday’s class
- Vectors – Components
- you can complete all problems now
- Vectors – Magnitude and Direction
- you can complete all problems now
- Vectors – Unit Vectors
- ignore this set until after Thursday’s class
All Webwork sets have been reopened. You have until Wednesday, December 18 to complete anything you didn’t complete previously. Please note that while most sets are due at 11:59pm, the following sets are due at 11:58pm (these are the sets corresponding to topics we’re discussing now):
- Complex Numbers – Direction
- Complex Numbers – Magnitude
- Complex Numbers – Operations
- Complex Numbers – Polar Form
- Sequences – Binomial Theorem
- Vectors – Components
- Vectors – Magnitude and Direction
- Vectors – Unit Vectors
You have until tonight to finish Part 2 of the project. Part 3 (which involves more writing and less calculation) is due next Monday night. Please proofread your work.
The instructions for your Test #3 Solutions OpenLab assignment are the same as for Test #1 and Test #2 solutions. Your post is due by Thursday, December 12 at 11:59pm. Don’t forget to select the category Test #3 Solutions before publishing your post.
Your Final Exam Review OpenLab assignment has three steps:
- Create your own final exam. Refer to questions from the final exam review sheet, WeBWorK, quizzes, tests, and the textbook to put together an exam that reflects all the topics you saw in this course. Your exam should have ten questions (but many questions should have a part (a) and a part (b) so your exam will have up to 20 questions). Don’t worry about whether you can answer the questions yourself; try to select good exam questions. Submit your final exam as an OpenLab post with the Subject Final Exam Review and the category Final Exam Review – Questions.
- Take one of your classmates’ final exams. Set aside 100 minutes and take the exam as though it were actually the final exam: turn your phone off and leave your notes, etc, in another room. After time is up, make a note of which questions you struggled with (you will need to spend more time studying these topics); figure out the solutions to these problems. Make a good copy of your solution sheet and post this on the OpenLab. Link to your classmate’s OpenLab post with the questions in your post and select the category Final Exam Review – Solutions.
- Repeat step 2 but with your own final exam.
Due dates:
Step 1: Final exam questions are due by Friday, December 13 at 11:59pm
Steps 2 & 3: Final exam solutions are due by Monday, December 16 at 11:59pm
Bonus (optional): Grade somebody else’s final exam. Submit your questions/concerns as a comment on their Solutions post. Submit these by Wednesday, December 17 at 11:59pm.
Steps 1, 2, and 3 (and the optional bonus step) are each worth one participation point.
Here is the flyer for tomorrow’s credit card workshop. I don’t know what exactly will be presented in the workshop but I assume it will be incredibly useful and will build on the work you’ve been doing in all three parts of the project.
Reminder:
I’m going through your Part #1 of your projects now and somebody has entered the name “JT.” Apparently, it’s not the only person in the class with those initials. If you are JT, please let me know who you are so I can give you credit for your work.
I wrote the wrong sections for Test #3 on the board today. As announced many times throughout the semester, Test #3 covers the green sections on the schedule, so Sections 13-20.
For the Webwork questions where you are manipulating a graph to match the formula of the function, determine the amplitude, phase shift, and period first. When you’re dragging points, if you change the phase shift, it might alter your period (especially if you’re trying to do this on a phone instead of a computer) so change the phase shift first, then your period.
For the Webwork questions where you are given graphs and entering formulas, click on the picture of the graph to enlarge it. You’ll be better able to see the scale on the x-axis this way.
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Webwork
Three of the Webwork sets that were initially due on Monday are now due next Wednesday. You can definitely look at those three before Tuesday’s class (Trigonometry – Graphing Period, Trigonometry – Graphing Phase Shift, Trigonometry – Graphing Comprehensive).
For Trigonometry – Unit Circle (due Monday) you can use the tables we were starting to complete in class today. Complete the remaining rows using the information you already have from Quadrant 1. (You could just use the calculator for this but that’s missing the point.) For problem #3, you do need to know that $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$.
For Trigonometry – Graphing Amplitude (due Monday) you need to remember that once you know the graph of a function, you know how to graph *transformations* of this function. (The three other Trigonometry – Graphing Webwork sets are similar, but Amplitude should involve the easiest transformation.)
Test #3 – Review
Test #3 will be given in class on Tuesday, November 26 (right before the Thanksgiving break). It will cover the green topics on the schedule (which now includes some updates); this includes all the exponential, logarithmic, and trigonometric sections.
Your instructions for the Test #3 Review are the same as they were for Test #1 Review and Test #2 Review. Your OpenLab post is due by Friday, November 22 at 11:59pm.
Project Parts #2 and #3
The last two parts of the project will not be due until after the Test #3. We will take a just quick look at them in class next Thursday and you’ll complete them on your own. You can get started before (at least take a look) now.
Part #2 due Monday, December 2 at 11:59pm (at the end of Thanksgiving break)
Part #3 due Monday, December 9 at 11:59pm (involves more writing and less calculation)
- I’ve changed the deadline for one of the sets that was due on Monday; Logarithmic functions – equations is now due Wednesday.
- This week’s quiz will cover material/exercises from Sections 13-16 of your text.
- Our conversation about Part #1 of the project in class last week about bank accounts, credit cards, and investments made me think about a few things:
- We talked about how difficult it is to get along in the US in 2019 without a bank account or without a credit card, but it’s not necessarily in everyone’s best interest to have one. For example, if someone is undocumented or doesn’t have a permanent address, they would have to weigh the pros and cons of making such a decision. There could be other reasons as well.
- We talked a little about investing money in the stock market instead of keeping it in a bank account. It’s important to stress that the value of the stock market over time is not an exponential function; in particular, it goes up and down. However, over a long period of time, the stock market does display approximate exponential growth. For example, the average annual return of the S&P 500 over the last 50 years is around 8 or 9%. Compare this rate to the rates you looked up for savings accounts, which are much lower.
- We are about to start the trigonometry unit of the course. I will assume you have seen some trigonometry in your life. You have the option to complete a trigonometry activity as a refresher outside of class. Anyone who completes the project perfectly will earn 5 participation points (there is no partial credit). The trigonometry activity can be accessed here. It is due by 11:59pm on Tuesday, November 19.
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