Calculus I, Fall 2022


Week 1

1 Mon, 5 Sep Download the Course Syllabus.

Download the Introduction to Physics used in today's class.

We will use the text Elementary Calculus. Follow this link to download this free open source textbook.

Paul's Online Notes is a useful website which includes a review of everything you need for Calculus I. If you find you've forgotten some things (like trigonometric identities or laws of logarithms), you can look at several worked-out examples here.

Please use my Eckerd email to get in touch with me. I do not check Moodle daily, so if you send me a message on Moodle, it may take several days to get a response.
2 Wed, 7 Sep Make sure you have completed the Algebra Review. These are necessary skills for this semester. Consider taking Precalculus first if you have a lot of difficulty with these problems.
3 Fri, 9 Sep Here are today's notes on What Calculus is All About.

Some students had calculus last semester, while others haven't had math in over a year. This weekend, work on reviewing your Algebra Skills. By class on Monday, send me an email letting me know (1) the numbers of the problems on the Algebra Review which were difficult for you, and (2) what you did to review these types of problems.

It's OK to send me an email saying that you understood how to do everything on the Algebra Review. You can use Paul's Online Notes as a start, but you can search for videos on how to work out any type of math problem. Send me links to what you used to review, or if you didn't watch videos, just let me know what you did.

As a college student — and future scientist — you will need to take more responsibility for your learning. You will never become a lead scientist on a research project if all you do is the minimum amount to get by. You need initiative. Start getting in that mindset now!

The assignment is worth 5 points. It is a completion grade only. It's up to you to do decide what you need to work on this weekend.

The additional Office Hour this semester is on Tuesday from 2:00—3:00 in the second floor lobby of MPC (the math department).


Week 2

4 Mon, 12 Sep Here is a link to today's animation: Desmos: Secant Lines.

Reminder: tomorrow is the end of the add/drop period.

Reminder: Homework quiz Friday. You can bring your hand-written notebook and a scientific, non-graphing calculator.

Homework: Study Examples 1.2 and 1.3 in the text. Problems: p. 14, #2, 3, 5, 7, 9.
5 Wed, 14 Sep Here are the notes on the Derivative of $\sin(x)$ from today's class.

There is a Homework Quiz on Friday on what we've done so far except what we cover in class today. Remember, you may bring your hand-written notebook and non-graphing calculator to the quiz!

Homework: Problems 1—4 from today's notes.
6 Fri, 16 Sep For homework, do the exercises given at the end of Geometry of the Derivative.

Extra Credit assignment: Critique this handout! As I write notes for the class, I would like feedback on if they are understandable and help you with the concepts. For example, I got feedback last semester and so revised the lesson on Introduction to Physics for this semester. So you can write a one-page critique (one inch margins all around, 12 pt type, 27 lines with a one-line title). It's not enough just to say you liked something or didn't understand something — you need to say why. Essentially, you get full points for a thoughtful critique, and few points for a superficial critique. The assignment is worth 0.25 percentage points on your final grade average. So this is a great way to learn some calculus and give yourself some bonus points!

This assignment must be printed out, and is due on Monday.


Week 3

7 Mon, 19 Sep Homework: #1, 3, 5, 7, 9, and 11 in Section 1.4, page 26. Also, Exercise 1 from the notes on Rules of Differentiation.
8 Wed, 21 Sep Download solutions to Homework Quiz 1.

Download the handout on Using Differentiation Rules.

For homework, finish the problems from the handout, and study for your quiz! Note: the Chain Rule is not on the quiz since we just covered it today.
9 Fri, 23 Sep Here is the homework for Monday.

Office Hours next Tuesday are slightly changed: 1:30—2:30.


Week 4

10 Mon, 26 Sep Class cancelled by Eckerd College due to hurricane Ian.
11 Wed, 28 Sep Today's lesson is The Geometry of Second Derivatives. You are expected to read this handout and do the homework. The text and solutions are very detailed, so try to follow along as best as you can.

Please email with questions. I expect to be available to answer questions all during the next few days as long as the power doesn't go out (which is very likely). So if you don't here back from me soon, know that this is the case and I will look at my emails as soon as I am able.

There will ne NO quiz on Friday. Thus, there will be a total of 7 Homework Quizzes, and I will drop your lowest score.
12 Fri, 29 Sep Here is a link where you can download a Precalculus Textbook to review exponential functions.

Here is the handout on Exponential Functions. Do the homework at the end of the notes.


Week 5

13 Mon, 3 Oct Welcome back! Thanks to all who could respond to my email. Based on your responses, we will go over Wednesday's and Friday's notes in class today. Wednesday we will go over logarithms, and Friday will be a review for next Monday's exam. Logarithms will not be on the exam.

Focus on studying the homework problems. Basically, I write an exam by looking at the homework assignments, and taking one or two problems from each. Some will be the same as on the quizzes, but there will be questions from the homework that were not on the quizzes.

You can bring a note card to the exam. I will provide those on Wednesday. You may also bring a scientific, non-graphing calculator.
14 Wed, 5 Oct Download solutions to Homework Quiz 2.

Here are today's notes on The Natural Logarithm. Your homework for next Wednesday is at the end of the notes. Complete solutions are given.
15 Fri, 7 Oct Download solutions to the revised version of Homework Quiz 2.

As an aide to your studying, here is a list of things which will definitely be on the Exam. There will be other questions as well. Remember, there will be no logarithms on the Exam.

Don't forget your note card and non-graphing calculator! Making a note card is not a substitute for studying!
  1. Draw a displacement curve given the velocity curve and/or vice versa.
  2. Use the definition of the derivative.
  3. Find an equation of a tangent line.
  4. Work with an equation for exponential growth.
  5. Take derivatives using power, product, quotient, and chain rules.
  6. Answer questions about where a function is increasing/decreasing, and where it is concave up/down.


Week 6

16 Mon, 10 Oct Exam today! Homework is at the end of last Wednesday's handout.
17 Wed, 12 Oct Download today's notes on Limits and Continuity. Homework is at the end.

Remember, NO Homework Quiz on Friday.
18 Fri, 14 Oct Download today's notes on Optimization. Homework is at the end.

Download Solutions to Exam I.


Week 7

19 Wed, 19 Oct Download today's notes on Applications of the Extreme Value Theorem. The homework is at the end of the notes.

There will be a Homework Quiz on Friday on the notes from Days 14, 17, and 18.

New dates for Homework Quizzes: October 21, November 11, and December 2.

New Exam dates: October 31 and November 18.
20 Fri, 21 Oct Download today's notes on the Intermediate Value Theorem. The homework is at the end of the notes.


Week 8

21 Mon, 24 Oct Download today's notes on the Asympototes and Limits at Infinity, I. The homework is at the end of the notes.
22 Wed, 26 Oct Download today's notes on the Asympototes and Limits at Infinity, II. The homework is at the end of the notes.

Review the handouts and bring questions to the in-class review on Friday. Start making your note card! And remember not to just read over the notes, but study actively by reworking out problems you had difficulty with. Be sure you can do these only with your note card handy, not by having the notes open in front of you.
23 Fri, 28 Oct Download solutions to last Friday's quiz.

Look for an email tomorrow with a few specifics about questions which will definitely be on the exam Monday.


Week 9

24 Mon, 31 Oct Exam II today.
25 Wed, 2 Nov Download today's notes on the Asympototes and Limits at Infinity, III. The homework is at the end of the notes.
26 Fri, 4 Nov Download today's notes on Tangents to Curves. The homework is at the end of the notes. Solutions will be posted on Sunday.


Week 10

27 Mon, 7 Nov Download today's notes on a Summary of Limits in Calculus. Homework is at the end.

Download Solutions to Exam II.
28 Wed, 9 Nov Download today's notes on Inverse Trigonometry I. Homework is at the end.

Look for an email tomorrow about office hours. The current prediction is that Tropical Storm Nicole will be passing right over us tomorrow afternoon. I will send an email out about 12:30 tomorrow with an update. Please check your email before coming to MPC.
29 Fri, 11 Nov Download today's notes on Inverse Trigonometry II. Homework is at the end.


Week 11

30 Mon, 14 Nov Download today's notes on Graphing. Homework is at the end.

Please come prepared for the in-class review on Wednesday. I will not have anything formally prepared, but will take as many questions as time allows. We will also go over the last Homework Quiz.

As a reminder, I will have Office Hours on Thursday. I am covering a class for Prof. Copenhaver right before; I will update on Wednesday with the times.
31 Wed, 16 Nov Download solutions to Homework Quiz 4.

Download practice problems for the Exam Friday. Solutions will be posted later today.

Remember that office hours are from 1:15 to 3:00 tomorrow.
32 Fri, 18 Nov Exam 3 today!


Week 12

33 Mon, 21 Nov Download today's notes on Continuity and Derivatives.

Download the homework.

Download solutions to Exam 3.


Week 13

34 Mon, 28 Nov Download solutions to the homework.

Download today's notes on Antiderivatives.
35 Wed, 30 Nov Download today's notes on Antiderivatives II.

The Thursday Office Hour is moved to 4:00 before the pizza party/discussion.
36 Fri, 2 Dec Download today's notes on Areas. Homework is at the end of the handout.


Week 14

37 Mon, 5 Dec Download today's notes on Area Functions. Homework is at the end of the handout.

Make sure you have or borrow a calculator which can evaluate trigonometry for the Final Exam. Numerical answers will be required, and there is no sharing of calculators.

Remember that I am giving you a handout with all derivatives/antidervatives for the Final Exam.
38 Wed, 7 Dec Download today's notes on The Inverse Chain Rule. Homework is at the end of the handout.

We will have an in-class review for the Final Exam on Friday. Bring questions! Remember, the Final Exam is at 11:30 on Monday. You will have three hours, so there should be very little time pressure. Make sure you have a calculator which can perfrom trigonometry operations.