## Instructor Contact and General Information

 Instructor: Luís Finotti Office: Ayres Hall 251 Phone: 974-1321 (don't leave messages! -- e-mail (finotti at math dot utk dot edu) me if I don't answer!) e-mail: finotti at math dot utk dot edu Office Hours: by appointment. We can use Zoom (long distance) or you can come to my office.

 Textbook: D. J. Velleman, "How to Prove It: A Structured Approach", 2dn Edition, Cambridge University Press, 2006. Prerequisite: One year of calculus or equivalent. Class Meeting Time: Mondays from 2:30pm to 3:30pm and Thursdays from 7pm to 8pm, via Zoom. (Section 301.) Exams: Midterm: 06/25 (due on Blackboard by 11:59pm). Final: 07/06 (due on Blackboard by 11:59pm). Grade: Best between 34% for HW Average and 33% (each) for Midterm and Final, and 20% for HW Average and 40% (each) for Midterm and Final. (Lowest HW score dropped in the HW average.)

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## Course Information

### Summer Course Warning!

This is a summer course, in which 16 weeks are squeezed into 5. So, as you can imagine, the pace is quite fast. Summer Courses are for very motivated students! If you usually study one hour a day during the regular semester (5 hours a week), the equivalent would be to study three hours a day in the summer semester! If you count (regular) lecture time (7.5 hours a week) and studying time (15 hours a week), that would amount to 22.5 hours a week dedicate to this course!

You cannot just catch up on the weekends'' in a course like this, as by then we will have covered way too much material. You should catch up immediately if you fall behind, as you will not be able to follow classes and things just start to accumulate in a faster pace than you will likely be able to catch up. I strongly recommend that you review, do problems and study every day!

I've had students taking more than one summer course in the past at the same session, and although it is possible to do it, I'd consider it a Herculean task and would usually advise against it. If you decide to do it, just make sure you are prepared for it! (Tell your loved ones you will see them in July.)

### Course Format

This will be a flipped course, i.e., students will learn a lot on their own, by reading the text and watching short related videos, while the times with the instructor will be spent with questions, solving problems and interactions with students.

You can always request for something you want to see in a video: a problem, some proof in the book, an example, some clarification, etc. If you think it can be done well enough in a lecture (on-line meeting) save it for then, though! If not, just post you request in the "Q&A - Math Related" forum on Blackboard.

Lectures'' will be on-line, via Zoom. I will assign reading and exercises to be done (or attempted) before our lectures. In lecture I will answer questions, solve problems and perhaps provide a few more examples. On the other hand, all (or most of) the content of the lecture will be question driven''. (But, questions such as Can you further explain X?'' or Can you give us examples of Y?'' are more than welcome.) If there are no questions or requests, the lecture will be quite short. It's essential you come to lectures prepared! Otherwise the chances of you getting anything out of this course (and passing it) are quite slim.

I recommend you attend the lectures even if you don't have any questions about the material, as I will take surveys and ask questions that might be relevant to all. You also might learn different ways of doing (or viewing) some problems.

It is only the third time I am teaching a course in this format (flipped/online), so your feedback is quite important and will help shape the course.

### Meetings

We will meet online Mondays from 2:30pm to 3:30pm and Thursdays from 7pm to 8pm using Zoom.

Alternatively, you can just login to Zoom and enter Meeting ID 545 412 677.

I strongly recommend you try it out before our first meeting. Please read the LiveOnline@UT page carefully. In particular, look for Test Flights dates, when you can test Zoom before our first meeting. (Also, take a close look at Getting Started page.)

In our meetings we will use Sage Math Cloud (SMC) for our discussions. Before classes start, you should receive an invitation to collaborate on a project that I've created for this course (Math 504 -- Summer 2016).

On our meetings you will see me share my browser running SMC to answer your questions. You will be able to see and type in the same document live. (Similar to Google Docs.)

We can enter math in SMC using LaTeX. (More on LaTeX below.) The edited document with questions and answers will be stored in our project and you can look at it whenever you want/need. (I will also use SMC to post solutions to HW problems.)

Please watch this video for more details: Introduction to SMC and How We Will Use It.

Note: A regular summer course like ours (5 weeks) meets for 7.5 hours in a week. We will meet online for just about 2 hours a week. The remaining 5.5 should be spent reading the text and watching the videos. Note that these hours should not count as "studying time", but as "lecture time". Our 2 hour meetings, though, could count as "studying time". But again, relative to one hour study time a day (5 hours a week) for a regular semester, translate to 15 hours a week for a summer semester, and the meeting times count as only 2 of those!

### Piazza (Discussion Board)

We will use Piazza for discussions. (Except for live meetings.) The advantage of Piazza is that it allows us (or simply me) to use math symbols efficiently and with good looking results (unlike Blackboard).

### Homework 7: Not to be turned in!

 Section 6.3: Turn in: None. Extra Problems: 2, 5, 9, 12, 16. Section 6.4: Turn in: None. Extra Problems: 4, 6, 7, 19.

### Final: 07/06 by 11:59pm

Chapters 4, 5 and 6. (No Chapter 1, 2 or 3.)

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