Monday 3/13 – More Riemann Sums

// Before class

  • Welcome back from break!
  • Before class you should have completed the Spring Break Kahn Academy assignment (see the previous post) and finished at least 2/3 of the homework for Section 7.2

// During class

  • Daily Quiz on Section 7.2 (again)
  • Recap of Section 7.2 and discussion of examples and homework problems

// After class

  • Finish all remaining homework from Section 7.2
  • Study for Wednesday’s Homework Quiz on Section 7.1, Section 7.2, and the Kahn Academy assignment

Wednesday 3/1 – Riemann Sums

// Before class

  • You should have completed all homework for Section 7.1, and read and taken notes on Section 7.2

// During class

  • Daily Quiz on Section 7.2
  • Discussion and group work on Section 7.2

// After class

  • There will be NO CLASS this Friday, March 3.
  • Instead of class you will complete a series of Khan academy lessons about Riemann Sums. These particular lessons match well with what we’re doing in Section 7.2. Material from these lessons will be fair game for the quiz during Problems Day after break, on Wednesday, March 15.
  • In addition, as usual, there are homework exercises from Section 7.2. However, we will be spending two days on this section, so you don’t have to finish all of this homework before Monday’s class. I recommend finishing about 2/3 of it by then, if possible. Here is a suggested minimum set of problems:
    • Thinking Back – all problems
    • Concepts – #0, #1, #2, and at least five more from #3–20
    • Skills – At least 2 problems from #21–26, 5 problems from #27–33, 3 problems from #34–38, and 6 problems from #39-44
    • Applications – At least 1 problem from #45–47 (don’t worry about #48-49)
    • Proofs – This time just do 1 problem from #50-53
  • Since we’ll be covering Section 7.2 again on Monday, we will have another Daily Quiz on Section 7.2 and also time to answer your questions from the homework.

Monday 2/27 – Addition and Accumulation

// Before class

  • You should have read and taken notes on Section 7.1

// During class

  • Daily Quiz on Section 7.1
  • Discussion and group work on Section 7.1
  • Talk about this week’s schedule and Riemann Sums worksheet assignment for over Spring Break

// After class

  • Complete all homework for Section 7.1 before Wednesday’s class. Here is a suggested minimum set of problems:
    • Thinking Back – all problems
    • Concepts – #0, #1, #2, and at least five more from #3–20
    • Skills – At least 4 problems from #22–28, 3 problems from #29–34, all 6 problems from #35–40, 2 problems from #41–43, 2 problems from #44-46, and 3 problems from #47–52
    • Applications – At least 1 problem from #53–55 (#56 and #57 are interesting but only if you’re curious)
    • Proofs – At least 2 problems from #58–62
  • Read and take notes on Section 7.2 to prepare for Wednesday’s class and Daily Quiz

Friday 2/24 – Test Recap

// Before class

  • Rest, recover, catch up if you need to

// During class

  • Hand back exams
  • Work in groups to get to 100% mastery on all exam problems
  • Discussion of Homework Notebooks

// After class

  • If you didn’t do as well as you wanted to on the test, then take time this weekend to review and catch up. Go to the SMLC or ask questions in the class Slack channel if you need help. Look at the exam key and figure out how to do the problems that you missed.
  • According to our trusty Calendar, we’ll be covering Section 7.1 on Monday. This material is a bit different from what we’ve been doing in recent weeks, so you might want to take extra time to read and take notes on this section. The more effort you put into preparing for Monday’s class, the more you’ll understand this new material. Monday’s Daily Quiz will be a little more intensive than usual, in order to encourage you to prepare for this new Chapter.

Wednesday 2/22 – FIRST MIDTERM

Are you still awake? It’s 11pm the night before the exam, if you’re still up then go to bed and get some rest so your brain will be ready to FIGHT tomorrow!

// Before class

  • Study! And make sure your Notebook is in order.

// During class

  • Test 1, worth 100 points, you can use your Notebooks in the last 10 minutes of this 50-minute exam

// After class

  • Rest. Breathe. I’m going to try to get everything graded by Friday’s class.
  • If you think you might not have done well, then set aside some time before Friday to review the topics you think you might still need to work on. You’ll have another chance on that material for the final and you can start working on that right now.

Monday 2/20 – Review Day

// Before class

  • You should have completed all homework for Section 6.4
  • In addition you should already have done the minimum amount of homework for each Section of Chapters 5 and 6, and have a list of questions that you are still having trouble with and what got you stuck on each one
  • You should be near the end of your study plan for preparing for Wednesday’s exam. For tips and answers to basic logistical questions, see the Test 1 information page

// During class

  • You will ask me questions. I will answer them and we will discuss. Preference will be given to questions that are asked within the online questions form.

// After class

  • Keep studying for Wednesday’s midterm exam, and make sure your Notebook is in good shape so that it can rescue you in the last 10 minutes of the exam. Don’t forget to get lots of rest on Tuesday night and eat an egg on Wednesday morning before the exam.

Things to know about the new functions

// What’s new?

Here is a list of the new functions we’ve defined this semester:

\(e^x\)
\(b^x\)
\(e^{kx}\)
\(\log_b x\)
\(\ln x\)
\(\ln |x|\)
\(\sin x\)
\(\cos x\)
\(\tan x\)
\(\sec x\)
\(\cot x\)
\(\csc x\)
\(\sin^{-1} x\)
\(\tan^{-1} x\)
\(\sec^{-1} x\)

// What should we know?

For each of these functions you need to know the following:

  • The domain of the funciton (where it is defined)
  • The range of the function (possible outputs)
  • The graph of the function (including relevant roots, asymptotes, and global behavior)
  • How to compute basic values of the function (especially at 0 or other important points)
  • The limit of the function at \(\infty\) and at \(-\infty\) (or ends of domain, if smaller)
  • How the function is related to other functions in the list (inverse, combinations, etc)
  • The derivative of the function (and how we proved that derivative formula)

// Then what?

Of course, you’ll also need to deal with combinations of these functions, but start with the basics. Get all this into your Notebook in case you need to reference it during the last 10 minutes of Wednesday’s exam. Good luck studying everyone, let me know on Slack if you have any questions.


Friday 2/17 – Inverse Trig Functions

// Before class

  • You should have completed all homework for Section 6.3, and read and taken notes on Section 6.4 to prepare for today’s Daily Quiz

// During class

  • Daily Quiz on Section 6.4
  • Discussion and group work on Section 6.4 material
  • Various dire warnings about the quickly approaching day of the midterm exam

// After class

  • Complete all homework for Section 6.4 before Monday’s class. Once again, any problems using the “Squeeze Theorem” can be skipped, since we are not covering that theorem in this class. Here is a suggested minimum set of problems:
    • Thinking Back – all problems
    • Concepts – #0, #1, #2, and at least five more from #3–22
    • Skills – At least 8 problems from #23–38, 2 from #39–44, 4 from 45–52, 6 from #53–66, 1 from #67–74 (if you’re feeling brave), 4 from #75–82, 1 from #83–86, (skip #87–88)
    • Applications – once again, don’t worry about these for this section
    • Proofs – 1 problem from #91–92, 1 problem from #94–95
  • Be ready with questions on Chapters 5 and 6 to ask during the Review Day on Monday
  • Continue to implement your STUDY PLAN FOR WEDNESDAY’S MIDTERM EXAM

Wednesday 2/15 – Trig Lims and Derivs

// Before class

  • You should have read and taken notes on Section 6.3

// During class

  • Daily quiz on reading for Section 6.3
  • Discussion and group work on Section 6.3

// After class

  • Complete all homework for Section 6.3 before Friday’s class. Please note that we are not covering the Squeeze Theorem, so you can skip any questions about that theorem. Here is a suggested minimum set of problems:
    • Thinking Back – all problems
    • Concepts – #0, #1, #2, and at least five more from #3–22
    • Skills – At least 10 problems from #23–42 (note the instructions to do these two ways if possible), at least 10 problems from #43–68, and 1 from #69–72, 1 from #73–76, 1 from #77–80, (skip #81–84), 2 from #85–88, 2 from #89–91
    • Applications – don’t worry about these for this section
    • Proofs – 1 problem from #99–100, 2 problems from #101–104
  • Read and take notes on Section 6.4 to prepare for Friday’s Daily Quiz
  • Continue to implement your STUDY PLAN FOR NEXT WEEK’S MIDTERM EXAM

Monday 2/13 – Problems Day

// Before class

  • Complete all homework from previous Sections, and be ready with questions to ask and explore in class

// During class

  • Daily quiz (attendance survey only)
  • Go over problems from any previous section
  • Possible homework quiz?

// After class

  • Catch up on any homework problems you have not yet completed
  • Start reviewing for the FIRST MIDTERM NEXT WEDNESDAY; make a study plan and then get started!
  • Read Section 6.3 and take notes in your Notebook to use on the Daily Quiz

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