Study Hammack, Section 1.1 again. In particular, do more exercises. If I check your homework, I expect to see you have now attempted most if not all of the exercises.
Study Hammack, Section 4.2. That means read it carefully and create, on a piece of paper, a point-form summary of the section and a list of questions or things you don’t understand. As always, I might check this or use this in class.
Reminder: you should be meeting with your study group this week. You can always find group assignments under `Resources’ above.
Make contact with your group members and set up a meeting time(s) during Week 2 in preparation for your homework/presentation Friday September 2. I require that you meet once each week, beginning Week 2. You should plan for a 2-hour long meeting, or to meet twice (longer if you plan to be social instead of efficient). You can always find the groupwork assignments and reports under `Resources’ above.
Study Hammack Section 1.1. The word “study” means you should:
read actively, asking yourself questions and answering them
create a point-form a summary of the main points
try some of the exercises (as many as you feel are helpful, at least a few from each section)
write a list of the things you don’t yet understand from this first reading. It’s expected that you won’t master it by reading it alone the first time, but the first step is to identify what you need to ask.
Bring your point-form summary and list of things you don’t understand to class. I may circulate to check you have brought them. I will eventually stop reminding you to do this, but you should always bring your work to class.
Make sure you have read all the info on this website (top navigation bar), including goals, syllabus, grading.
Read Section 4.1 of Hammack. Read carefully and thoughtfully, as always.
Come up with other examples of theorems. You might consult your calculus book, or the internet. Don’t just copy anything with the title “Theorem” above it. Instead, pick examples whose statements you feel you understand.
Choose at least one theorem from this book or your examples which is in the form “If P, then Q”. Understand its statement as fully as possible. In particular, answer the following on a piece of paper:
State the theorem.
Give examples and an intuitive explanation of all the words used (e.g. function, integer, continuous etc.), so that you can explain their meaning to someone.
Be able to identify the hypothesis (P) and conclusion (Q).
Give examples of situations in which the hypothesis is satisfied.
In each such situation, check that the conclusion is satisfied.
Reminder: whenever I assign daily tasks, you must bring your work to class, as I may check it for completeness.