# New Week 3 – 7.3 Definite Integrals

### Step 1: Week 3 kickoff meeting – Monday 10:10 am

• You can see the recording of Monday’s meeting from the link in Canvas
• Agenda: Discuss new Week 3 instructions with different structure (built to help you start the HW more quickly), discuss the definition of the “definite integral”, give an overview of the main theorems in the section.

### Step 2: Get started on the WebAssign homework ASAP

• Log into WebAssign from Canvas and start the Section 7.3 homework
• Be sure to use the e-book when you need help and to look at relevant definitions, theorems, and examples
• Problems 1-2 ask you to calculate definite integral values using geometry and areas of things you know about, like triangles and circles.
• You’ll also have to understand how area under the x-axis is counted negatively; see Theorem 7.10 and the figure below it in the e-book.
• This Common Geometric Area video from ProfRobBob goes through worked examples of these types of problems.
• Problems 3-5 ask you to calculate definite integral values using other known definite integral values, and properties of definite integrals.
• Problems 6-7 ask you to set up definite integrals as limits of Riemann sums, and then compute those sums for large values of n, and then as n “goes to infinity”.
• Problems 8-9 ask you to calculate definite integral values using the formulas for certain simple definite integrals.
• See Theorem 7.13 and Example 3
• You may have to use algebra or definite integral properties to split up the definite integrals to make them match the ones in Theorem 7.13 so you can apply those formulas.

### Step 3: Take a break

• Sit outside in the sun alone and close your eyes and listen to the wind pass through the new leaves on the trees. Deep breath. This time is just for you and you don’t need to do anything but sit in the sun for now.

### Step 4: Get help if you need it… until you’ve finished and mastered the homework

• Attend the Zoom drop-in 4-6pm Thursday (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
• If you need help now or at any point: For math questions, use Canvas Chat or Discussion, or contact the SMLC. For other questions text Dr. Taalman directly.

### Step 5: Take the Mastery Quiz for Section 7.3

• When you’re ready, take the 7.3 Mastery Quiz in Canvas (and retake if needed)
• I recommend you take your first quiz attempt by Friday or Saturday