# New Week 2 – 7.2 Riemann Sums

Welcome to the second week. Pretty much like the first week. Here we go…

### Step 1: Week 2 kickoff meeting – Monday 10:10 am

• You can see the recording of Monday’s meeting from the link in Canvas
• Agenda: Talk about last week, discuss new simplified grading policy and C/NC grades, overview of Week 2, introduce Riemann Sums

### Step 3: Read the Book

• Use the eBook on WebAssign to read Section 7.2
• Reading the book is maybe the hardest step in this list but you will be so much more prepared to succeed on the homework and quizzes. Go slow, take your own notes, try out the calculations as you go.
• Key points in the reading:
• Section 7.2 is probably one of the most important sections in the textbook to really read. Take your time and try to absorb the story that is being told here. This notation and setup is the backbone for the entire chapter, and if you can understand this story then the rest of the chapter will be relatively straightforward.
• Definition 7.5 is a doozy but you need to know all this notation, including the part after the centered equation. That information about delta x, x_k, and x^*_k is really important to understanding what the Riemann sum noation is all about.
• Make sure you understand what “signed area” means and why it is automatically this signed area that is computed when you make a Riemann sum approximation.
• Definitions 7.6, 7.7, and 7.8 are about special types of Riemann sums; each is different only in the way that the heights of the rectangles are determined (or if a trapezoid is used instead).
• Key examples and how they relate to the HW:
• Example 1 is a lot like the first three problems in the homework. For those problems you don’t need to use any sigma notation at all, just use the notation.
• Examples 2 and 3 are about the sigma notation and all the other ancillary notation that comes with Riemann sums. This is what you’ll be doing in the last three homework problems.
• Example 4 is also like the first three homework problems, except that in those homework problems you don’t need to write out the sigma notation. Make sure you understand both the sigma notation and how it relates to the pictures at the end of the example, and what is being added up in each case.

### Step 4: Take a break

• Don’t forget to rest. And eat. Eat something nice that you like. Eat nice food that makes you feel good. Then go take a nap.

### Step 8: Week 2 Roundup/Drop-In Meeting – Thursday 4-6 pm

• NEW DAY/TIME – Attend the Zoom drop-in 4-6pm Thursday 4/2 (link in Canvas)
• Or, if you can’t attend, watch the recording: (Link to be added in Canvas later)
• Agenda: Discuss wekly updates, get math help, ask Dr. Taalman anything

### Step 9: Finish the homework

• If you haven’t finished the WebAssign yet then do that now 🙂

### Step 10: Take the Mastery Quiz for Section 7.2

• When you’re ready, take the 7.2 Mastery Quiz in Canvas (and retake if needed)
• Note: I recommend you take your first quiz attempt by Friday or Saturday if possible