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Do only these tasks before our first class:

* Watch this video: Welcome!

* How to be a student in a flipped classroom (about 11 minutes).

* Read this information on MyMathLab that you should have received in an email.

You do not need to do an of the assignments outside of this box until after our first class.

1/31: In Person Learning Today! Live Stream and/or Zoom Links Are On The Help Page - FINALIZED

You are encouraged to use my office hours (Zoom or in person) for help hours on the homework. However, you may not ask questions over homework on the day that the assignment is due.

Do NOT assume that any assignment beyond today's is correct! I often change them the day of class. If you don't see the word in the assignment, the assignment may change!

Introductory Reading and Activities - There is nothing to turn in for reading assignments, but the material could appear on quizzes. **Complete all of these activities before class on Friday!**

* Read the course introduction (syllabus) at this link. This document contains
information that you may need to know. Some of it could appear on
a quiz. Also read these keys to success in calculus.

* Read the Carthage Academic Honesty Guidelines. There is a link at the top of this page.

* Take this brief background survey before class on Friday. (Yes, this is required, and you will receive credit for doing it!) You will need to log in to your Carthage
account.

* Read this page on homework expectations.

* Read this page on free tutoring opportunities.

* Create an account on MyMathLab and enroll in our course.
There are instructions at this link. I will check this on Friday, and you will receive a few points for creating this account! If you don't have a code, sign up for a free trial and get a code as soon as possible. **There is no reason not to do this!**

*** Do the first assignment on MyMathLab. It is a skills assessment assignment that will count as homework. You will only have one try at this assignment. (Normally I will give you an unlimited number of attempts, but the purpose of this assignment is to see if we need to review this material.) **

* Check the blog (see the link on the left side of this page) for updates. You should check the blog every day. I will provide homework hints, comments on how our class went, and more!

Required Videos to View Before Class on 2/2, Which is on Friday Today's Data in Excel Formal

Introductory Videos - you may wish to jot down a few notes.

* Using the Web Page (for those who missed class)

* Office hours - Zoom and in-person (of course, there are no in-person office hours during remote learning)

* Multimedia resources in MyMathLab (I made this video last spring.)

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Data From My Bike Ride

(2) Calculus, Velocity, and Distance

(3) Lines and the Point-Slope Form (The print on the screen may be a little blurry. That's why you should have the handout in front of you!)

(4) Parallel, Perpendicular, Vertical and Horzontal Lines

(5) Watch this video produced by Arizona State University. It could increase your grade significantly! You could also listen to this radio program. You can read the article, or click on the blue "Listen" button on the left side of the page. You can read the text as well, but listening might be more effective.

* **While you are watching the videos or immediately after watching the videos, take this quiz. **You should take this quiz before our next class! This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.

* MyMathLab didn't really have any good videos on this topic. When there are some, I will let you know here.

* The MyMathLab assignment over these videos is officially assigned after our next class, but you could start it now **so you can ask questions in class**.

Optional material from the Khan Academy

* The Khan Academy can be a great study tool. I don't anticipate assigning any problems from that site, but if you want to use the site as a study or review tool, please create an account on Khan Academy. You can use your Carthage e-mail (Google) or your Facebook account as a login for Khan. Let me know right away if you have any difficulties. **Then add me as a Coach.** My coach ID is my e-mail address (my Carthage address with msnavely as the name). The class code is 5PDW2J. You do not need to create an account to view the optional videos.

* Here is a video on the point slope form.

* Here is a video using both the point slope form and the slope intercept form.

**Before you leave the classroom on today, you will take this quiz. Do not take this quiz before class.**

Today's VQ for class use - take the quiz at the link above, not here!

2/1: In-Person Learning - FINALIZED

Today's in-class work will an algebra review and will include an in-class quiz.

2/2: In Person Learning Today! - FINALIZED

The Reading and Homework assigned today are due on 2/7.

Reading Assignment

* Read Section A.3 in HHW up to the section on Parallel and Perpendicular Lines.

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* Fill out this homework response form after you have completed the assignment. This will count as a writing assignment.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/5.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Definition of a Function

(2) Function Notation (Make sure you have your handout - the words on the screen aren't very readable.)

(3) Function Evaluation

(4) Types of Functions

(5) Polynomials

(6) Function Composition

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.

* I have created an optional video assignment over this material in MyMathLab. The videos deal with function composition.

* The MyMathLab assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions..

Optional material from the Khan Academy

* Here is a video on evaluating composite function, and here is another video on the same topic.

Optional: Sign up for your free MAA membership at this link.

Today's VQ for class use - take the quiz at the link above, not here!

2/5:In Person Learning Today! - FINALIZED

The Reading and Homework assigned today are due 2/9.

Reading Assignment

* Read pages 7-11 in HHW.

* Read this handout on functions. It's a little silly, but it might help clarify some concepts.

* Read pages 14-16 (Up through and including Composite Functions) in HHW.

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/7.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Function Diagrams

(2) First Examples

(3) More Examples

(4) Products and Function Composition

(5) Linear Equations and Inequalities

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.

* There is a very short MyMathLab assignment over this material. Most of the homework is in the handout. MyMathLab has no videos on these topics.

* The MyMathLab assignment and the homework assignment from the handout over these videos is officially assigned after our next class, but you should start it now so you can ask questions.

Optional material from the Khan Academy

* A video over linear equations; one over linear inequalities.

2/7: In Person Learning Today! - FINALIZED

The Reading and Homework assigned today are due 2/12. Last day to add or drop a course.

Reading Assignment

* Read Appendix A.1 in HHW. Much of this should be review, so a light reading will probably be enough. If there is something that you do not understand, come talk to me in my office so I can help.

* These is no reading assignment over function diagrams.

Homework

* Do the homework exercises in the handout. Write them on a piece of paper, then turn them in at the start of class or send them to me via email before class starts. If you choose to submit homework via email, please send one document that includes all pages of your written homework. You watched the videos to prepare for today's class.

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/9.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Distance

(2)
Definition of a Limit

(3) The First Example

(4) One-Sided Limits

(5) Conjecturing Values for Limits

(6) One More Example Involving a Graph

If you've had trouble accessing the eText, here is a video on where to find it!

* The MyMathLab assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions.

* I did not find any videos in MyMathLab that were particularly helpful.

Optional material from the Khan Academy

* Here is a video on estimating limits from a graph.

2/8: Quiz today over the material that we TALKED ABOUT IN CLASS on 2/1 (algebra), 2/2(bike ride and lines), and 2/5 (functions). The videos assigned on 2/5 and discussed in class on 2/7 are NOT on this quiz. FINALIZED

This is a quiz, and you should not do anything that you would not do if you were taking the quiz in class in person. You may use a calculator, paper, and a writing utensil. That's all! No phones are allowed on any exams or quizzes.

NO PHONES ARE PERMITTED ON ANY QUIZ OR EXAM! If I see your phone at any time before you turn in your quiz, you will receive a 0 on this quiz. No excuses, no exceptions! Place your phone in a zippered pocket in your backpack and zip it shut or place your phone on the table at the front of the classroom.

You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Norse code (used to communicate with Vikings), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource whatsoever. You are not permitted to use your notes, your text, any text, MyMathLab, YourMathLab, AnyoneElsesMathLab, Google, WolframAlpha, anything on our course website (except of course the link to the quiz!)., or any other internet resource that I've omitted.

2/9: In Person Learning Today! - FINALIZED

The Reading and Homework assigned today are due 2/14.

Reading Assignment

* Skim Section 2.2 in HHW for examples on finding limits from graphs.

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* Fill out this homework response form after you have complete the homework assignment.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/12.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Defining the Trigonometric Functions

(2) Triangle Trigonometry

(3) Special Angles

(4) The Pythagorean Identities

(5) Finding Exact Values for Trigonometric Functions, part I

(6) Finding
Exact Values for Trigonometric Functions, part II

(7) Quadratic Equations

* There is an optional video assignment in MyMathLab over this material.

* The MyMathLab assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions.

Optional material from the Khan Academy

* Here is another video on quadratic inequalities.

2/12: In-Person Instruction Today! - FINALIZED

The Reading and Homework assigned today are due 2/16.

Reading Assignment

* Read Section 1.3 in HHW.

* There is a table of important trig identities on the Help Page. You need to know these, except as indicated!

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/14.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Introduction to Exponential and Logarithm Functions

(2) Properties of Exponential Functions

(3) Zero to the Zero

(4) Properties of the Logarithm Functions

(5) Equations Involving Exponential and Logarithm Functions

* The MyMathLab assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* A video about solving exponential equations.

* A video about solving logarithmic equations.

2/14: In-Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 2/19.

Reading Assignment

* Read Sections 1.5 and 1.6 in HHW.

Homework

* Do the MyMathLab over today's material.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/16.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Introduction to Derivatives

(2) The Definition of the Derivative

(3) The Basic Derivatives You Need to Memorize

(4) The Sum Rule

(5) The Product Rule

(6) The Function Composition Rule

(7) Examples of the Chain Rule

(8) The Quotient Rule

(9) The Slope of the Tangent Line

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. You should receive an email confirmation so you can check your answers.

* There is no video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Nothing really on the Khan Academy either. We'll use some of their videos when we examine each rule individually.

* Tutoring is available! Instructions are at this link. Walk-in hours are also available with no appointment.

2/15: Quiz today over the material covered on 2/7 (Function Diagrams), 2/9 (Limits), and 2/12 (Trig).

2/16: In-Person Instruction. - FINALIZED

The Reading and Homework assignments are due 2/21.

Reading Assignment

* There is no reading from the text today. Review your notes from class.

Homework

* Do exercises 1-2 in the notes on page 23. You should have diagrams for those functions from an earlier assignment. You will turn in your work through Schoology again.

* Do the MyMathLab assignment for today. You may use the rules I taught you in class; **you do not need to use limits**.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/19.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) The \(k/0\) case

(2) Limits as \(x\rightarrow \infty\)

(3) Rational Functions

(4) Trigonometric Functions, Exponential Functions, and Polynomials

(5) Examples

(6) Optional Example

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. You should receive an email confirmation so you can check your answers.

* There is NO optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is a video on limits at infinity. Actually, there are a number of good videos here.

2/19: In-Person Instruction Today! - FINALIZED

The Reading and Homework are due 2/23.

Reading Assignment

* Read Section 2.6 in HHW.

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/21.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Finding a Slope Using a Limit

(2) Finding a Derivative Using a Limit

(3) The Tangent Line to a Tangent Line

(4) The Derivative of \(a(x):= |x|\)

(5) A Polynomial Example

(6)
A Rational Example

(7) The Square Root Function - The is a typo in this video. The equation of the tangent line should be \(y=3+\frac{1}{6}(x-9)\).

(8) What Is a Derivative?

* While you are watching the videos or immediately after watching the videos, take this quiz. This video quiz involves some computation, so have paper and pencil handy. You should take this quiz before our next class! This will count as a quiz. After you take the quiz, I will review your answers then release them to you, just to make sure no correct answers are marked as incorrect.You should also receive an email confirmation so you can check your answers.

* The MyMathLab assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions. Use limits to compute the derivatives in this assignment! I could ask you to do that on our upcoming exam.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* A video on the definition of the derivative, and an example.

2/21: In-Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 2/26.

Reading Assignment

* Skim Sections 3.1 and 3.2 in HHW.

Homework

* Do the MyMathLab over today's material. **Use limits to compute the derivatives in this assignment!** I could ask you to do that on our upcoming exam.

* Compute the following derivatives using the definition of the derivative (that means using limits) on paper and submit your work on paper. Use proper notation! If you do not use a limit, you will not receive any credit.

(a) \(y=-12x^2\)

(b)
\(f(x)=5+x^2\)

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/23.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) The Sum Rule

(2) The Product Rule

(3) The Triple Product Rule

(4) Examples

(5) The Quotient Rule

(6) Examples

(7) One More Example

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Many videos. Here is a page with product rule videos, and one with quotient rule videos.

2/22 : Quiz today over the material covered on 2/14 (Exponential Functions), 2/16 (Derivatives), and 2/19(Limits). - FINALIZED

* We will work on derivatives today after the quiz for those who wish to stick around. There will be no additional homework assigned.

2/23: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 2/28.

Reading Assignment

* Read Section 3.3, especially for the examples. You can skip the small section on higher order derivatives and the section on the exponential functions. We'll do that later.

Homework

* Do the MyMathLab assignment for today.

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/26.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) The Derivative of \(f(x)=a^x\)

(2) Can \((a^x)'=a^x\)?

(3) Examples I

(4) Examples II

(5) The Second Derivative

(6) Higher Order Derivatives

(7) Derivatives on the Computer

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. You should receive an email confirmation so you can check your answers.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is a video on the second derivative, and one on the derivative of the exponential function.

2/26: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 3/1.

Reading Assignment

* Read the skipped parts from Section 3.3, specifically the exponential functions and higher order derivatives.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 2/28.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

These videos were recorded during the pandemic lockdown. Ignore any references to this being a "Thursday class" - during the lockdown we had to cover new material on Thursdays because we lost an entire week due to cancelled classes. Special thanks to Wildwood Presbyterian Church in Grayslake, Illinois, for allowing me to use a classroom to record these videos.

(1) Introduction to Falling Object Problems

(2) First example of a falling object problem

(3) Another example

(4) One last example (Of course, you can also ask questions in office hours or in class, in addition to the blog as mentioned in the video)

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. After you take the quiz, I will review your answers then release them to you, just to make sure no correct answers are marked as incorrect.You should also receive an email confirmation so you can check your answers.

* The MyMathLab assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions. Use limits to compute the derivatives in this assignment! I could ask you to do that on our upcoming exam.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* I didn't find the Khan academy particularly helpful.

2/28: In Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 3/11.

Reading Assignment

* Read Section 3.4 in HHW.

Homework

* Do the MyMathLab over today's material.

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/1.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) The Derivative of \(f(x)=\sin x\)

(2) The Handholding Theorem The geometric proof of the limit in this video.

(3) Finishing the Proof

(4)
The Derivative of \(f(x)=\cos x\)

(5) The Rest of the Trigonometric Derivatives

(6) Examples

* While you are watching the videos or immediately after watching the videos, take this video quiz. You should take this quiz before our next class! This will count as a quiz. You should receive an email confirmation so you can check your answers.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is a video involving the trigonometric functions. There are many others.

2/29: Exam 1 over the material covered from 1/31-2/26 (derivatives of exponential functions). Any question asked in homework, on quizzes, on video quizzes, or covered in the notes could appear on the exam.

You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Norse code (used to communicate with Vikings), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource whatsoever. You are not permitted to use your notes, your text, any text, MyMathLab, YourMathLab, AnyoneElsesMathLab, Google, WolframAlpha, anything on our course website (except of course the link to the exam!), or any other internet resource that I've omitted.

I will provide a calculator for you to use. No phones!

*** Fill out this exam reflection before class on Monday after break.**

3/1: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 3/13.

Reading Assignment

* Read Section 3.5 in HHW.

Homework

* Do the MyMathLab assignment for today.

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/11.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) The Chain Rule - Some Intuition

(2) The Formal Chain Rule

(3) The Power Rule

(4) Functions of the Form \(g(x)=e^{(f(x))}\)

(5) Functions of the Form \(s(x)=\sin(f(x))\) and \(c(x)=\cos(f(x))\)

(6) More Examples

* There is NO optional video assignment in MyMathLab over this material. All the publisher had was a 40 minute lecture. See the Khan Academy for more instruction if needed.

*** Don't forget to fill out this exam reflection before class on Monday.**

Optional material from the Khan Academy

* Here is a video on the chain rule.

*
I highly recommend the exercise entitled Practice: Identifying Composite Functions.

Spring Break!

3/4:Spring Break!

3/6: Spring Break!

3/7 : Spring Break!

3/8: Spring Break!

3/11: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 3/15.

Reading Assignment

* Read Section 3.6 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/13.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class. Special thanks to Wildwood Presbyterian Church in Grayslake, Illinois, for allowing me to use a classroom to record these videos.

(1) What is an implicit function? (There is instruction on how to take notes. Maybe a good reminder?)

(2) The chain rule revisited

(3) Implicit differentiation on a circle

(4) The first example

(5) The second example

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. After you take the quiz, I will review your answers then release them to you, just to make sure no correct answers are marked as incorrect.You should also receive an email confirmation so you can check your answers.

* The MyMathLab assignment over these videos is officially assigned after our next class, but you should start it now so you can ask questions. Use limits to compute the derivatives in this assignment! I could ask you to do that on our upcoming exam.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is an additional 8-minute video on implicit differentiation.

* A video example on computing a derivative using implicit differentiation. (About 5 minutes)

* A video example on finding the slope of a tangent line using implicit differentiation. (About 5 1/2 minutes)

3/13: In-Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 3/18.

Reading Assignment

* Read Section 3.7 in HHW.

Homework

* Do the MyMathLab over today's material.

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/15.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) The derivative of ln x and more

(2) The derivative of ln(f(x))

(3) The derivative of the arcsine function

(4) Examples involving arcsin(x) and arctan(x)

(5) What to do with x^x and similar functions

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* The derivative of the arcsine function.

* The derivative of the arctangent function.

* A video on choosing which rule to use. Highly recommended!

3/14 : Quiz over the material covered on 2/28 (Falling Objects), 3/1 (Trig Derivatives), and 3/11 (Chain Rule). As usual, the quiz will begin at 12:30.

3/15: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 3/20.

Reading Assignment

* Read Section Sections 3.8-3.9 in HHW, skipping material and examples that are not relevant to the videos.

Homework

* Do the MyMathLab assignment for today.

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/18.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Problem solving strategies and related rates

(2) The sliding ladder problem

(3) Walking away from a lamppost

(4) A leaky conical tank

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Introduction to related rates

* A problem involving a triangle

* The sliding ladder problem

* Water pouring into a cone

3/18: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 3/22.

Reading Assignment

* Read Section 3.10 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/20.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Introduction to Extreme Values

(2) Definitions

(3) Two Examples

(4) An Example with a More Challenging Derivative

(5) An Example With a Cusp

* While you are watching the videos or immediately after watching the videos, take this quiz. You should take this quiz before our next class! This will count as a quiz. After you take the quiz, I will review your answers then release them to you, just to make sure no correct answers are marked as incorrect.You should also receive an email confirmation so you can check your answers.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is a video on finding extreme values.

* Another really good example.

3/20: In Person Instruction - FINALIZED

The Reading and Homework assignments are due 3/25.

Reading Assignment

* Read Section 4.1 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/22.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Rolle's Theorem and the MVT

(2) A Proof and an Example

(3) An Example Revisited - Finding Where a Function Is Increasing

(4) An Example Involving Mathematica

(5) The Last Two Examples

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* A video showing how to find where a function is increasing/decreasing.

* Another example of finding where a function is increasing/decreasing.

3/21: Quiz over the material covered on 3/13 (Implicit Differentiation), 3/15 (Logarithms, Inverse Trig Functions), and 3/18 (Related Rates Problems).

3/22: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 3/27.

Reading Assignment

* Read Sections 4.2 and 4.3 in HHW, skipping material and examples that are not relevant to the videos.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/25.

NOTE!! THERE WILL BE AN OPEN NOTE QUIZ OVER THIS MATERIAL (SECOND DERIVATIVES) ON MONDAY!

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Introduction to the Second Derivative

(2) An Example Using the Second Derivative to Determine Concavity

(3) An Improved Second Derivative Test

(4) The Last Example

(5) One More Example

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* How to find inflection points from a graph.

* Finding inflection points.

* Mistakes when finding inflection points: one common mistake, and another mistake.

3/25: In-Person Instruction - FINALIZED - OPEN NOTE QUIZ TODAY OVER THE MATERIAL IN THE VIDEOS THAT YOU WATCHED FOR TODAY!

The Reading and Homework Assignments are due 4/3.

Reading Assignment

* Read Section Section 4.4 in HHW, skipping material and examples that involve curve sketching. We'll tackle that topic in a future class.

Homework

* Do the MyMathLab over today's material.

* Check the blog every day for new entries.

Required Videos to View Before Class on 3/27.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Introduction to L'Hopital's Rule

(2) Two Related Examples

(3) The \(1^\infty\) Case

(4) The \(0^0\) Case

(5) The \(\infty-\infty\) Case

* There is an optional video assignment in MyMathLab over this material. **The videos are particularly good this time.**

Optional material from the Khan Academy

* There are many examples online. Here is one in the 0/0 case.

* A limit as x approaches infinity

* A challenging example

3/27: In-Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 4/5.

Reading Assignment

* Read Section 4.5 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/3.

With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Curve Sketching - Our First Example

(2) Curve Sketching - An Unusual Example

(3) Finding the Information Ourselves

(4) Factoring Helps!

(5) An Example With Asymptotes

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* This is a 20 minute video, but it shows curve sketching start-to-finish.

* An example involving a logarithm function, but it's 25 minutes long.

3/28: Quiz today - Today's quiz covers the material covered in class on 3/20, 3/22, and 3/25, extreme values and where to find them. There will also be a quiz over basic derivatives and the algebra needed to use the basic differentiation formulas. The second quiz should require no work, only memorization and knowledge.

3/29: EASTER BREAK - NO CLASS

4/1: EASTER BREAK - NO CLASS

4/3: In-Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 4/8.

Reading Assignment

* Re-read Section 4.4 in HHW, concentrating on the curve sketching examples.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/5.

BEFORE CLASS ON FRIDAY, MAKE YOUR FLASH CARDS AND PRACTICE YOUR DERIVATIVES!

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Linear Approximation

(2) An Example Involving an Exponential

(3) A Final Example, and Differentials (The differential of \(f(x):= x + \sin x\) is \(df = (1+\cos x)\, dx\). Part of this is invisible due to the glare on the board.)

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is an example that involves a rational function.

4/4: Quiz today over finding extreme values (the material that was on our last quiz) and the material covered on 3/27 (L'Hopital's Rule). Concentrate your efforts on finding extreme values and points of inflection.

There will also be a quiz over basic derivatives and the algebra needed to use the basic differentiation formulas. Practice for this using the flash cards I made for you. The second quiz should require no work, only memorization and knowledge.

The quiz will begin at the usual time.

4/5: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 4/10.

Reading Assignment

* Read Section 3.11 in HHW.

Homework

* Do the MyMathLab over today's material.

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/8.

Today's Mathematica File for those who have Mathematica, or those who use Mathematica Online. For those who don't have Mathematica at home, here is an online Newton's Method calculator. You need to be able to do this by hand, but you can check your work here.

(1) How Newton's Method Works

(2) The Formula for Newton's Method

(3) Newton's Method as a Process

(4) A Calculator Example

(5) Making a Good Guess I

(6) Making a Good Guess II

(7) The Quadratic Formula and its Relatives

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is one video from another source. Not much on the Khan Academy.

* Some pictures of comples Newton's Method in action: n=3 and n=5.

4/8: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 4/12.

Reading Assignment

* Read Section 4.7 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/10.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Introduction to Optimization Problems

(2) The First Example Revisited

(3) A Different Constraint on a Rectangle

(4) A Curve Defines a Rectangle

(5) Making a Can

(6) Making a Square and a Circle

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is an very good sum of squares problem.

* Maximizing profit.

4/10: In-Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 4/15.

Reading Assignment

* Read Section 4.6 in HHW. Reading the examples in this section is really important!

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/12.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) What is an Antiderivative?

(2) An Important Public Service Announcement

(3) Computing and Verifying Antiderivatives

(4) Initial Conditions

(5) Rules for Antiderivatives

(6) Basic Examples

(7) Some Important Examples

(8) A Recurring Example, part I

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* You could work through this entire series of lessons on the basic rules.

* This lesson discusses doing a little algebra before finding an antiderivative.

* Here is a lesson on trig and exponential functions.

* This lesson explains the difference between \(\ln x\) and \(\ln |x|\).

4/11: Exam 2 over the material covered from 2/21 (Derivatives) to 4/8 (Newton's Method). Yes, there is some overlap with exam 1.

You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Norse code (used to communicate with Vikings), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource whatsoever. You are not permitted to use your notes, your text, any text, MyMathLab, YourMathLab, AnyoneElsesMathLab, Google, WolframAlpha, anything on our course website (except of course the link to the exam!), or any other internet resource that I've omitted.

I will provide a calculator for you to use. No phones!

4/12: WE WILL NOT MEET IN PERSON! I need to leave for a math conference at 11:45. I will take questions over this material through the blog, email, and in class on Monday. FINALIZED

The Reading and Homework Assignments are due 4/17.

Reading Assignment

* Read Section 4.8 in HHW.

* Using your flash cards, study antiderivatives! The side of the card that says \(f'(x)\) is now the function, and the other side that says \(f(x)\) is the antiderivative. For example, the antiderivative of \(-\cos x\) is \(\sin x\); stated another way, the antiderivative of
\(\cos x\) is \(-\sin x\).

Homework

* Do the MyMathLab over today's material.

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/15.

(1) Introduction to Signed Area

(2) Signed Area From Functions

(3) Accumulation Functions

(4) A Recurring Example, part II

* There is NO optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* No good videos this time.

4/15: In Person Instruction - FINALIZED

The Reading and Homework Assignments are due 4/19.

Reading Assignment

* Read Section 5.1 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/17.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

Today's Mathematica File, and for Mathematica Online.
For those of you without Mathematica, this site can help you check your work on Riemann sums.

(1) What if We Can't Use Geometry?

(2) A Second Example With Help From Mathematica

(3) An Example Using Data

(4) Riemann Sums

(5) The Definite Integral

(6) Properties of Integrals

(7) A Recurring Example, part III

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is a video that uses midpoints. I don't use midpoints, but it's a good example of using rectangles.

* An example that uses a table of values rather than a function.

4/17: In-Person Instruction Today! - FINALIZED

The Reading and Homework assignments are due 4/22.

Reading Assignment

* Read Section 5.3 in HHW.

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class. **For the Riemann sum problems, when the exercise says "lower sum", use left endpoints. When the problem says "upper sum" use right endpoints.** That works for increasing functions, which should be the case for these problems.

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/19.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) The Fundamental Theorem of Calculus

(2) Examples Using the FTC

(3) The Fundamental Theorem of Calculus, Second Form

(4) Examples Using the Second Form

(5) More Examples (Note that I forgot an \(x\) in my antiderivative - should be \(tan x\).)

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* This video deals with the derivative of an integral, as does this one.

* An example where you need to do some algebra first, and one involving a logarithm function.

* Review the background material covered up to 2/19. Most of this should be very familiar by now.

4/18: Quiz today over the material covered from 4/8 (Newton's Method) 4/12 (Antiderivatives), and 4/15 (Signed Area). FINALIZED

After the quiz, we will have an optional class on the Fundamental Theorem of Calculus. On Friday, we will hear a candidate for a mathematics position at Carthage.

4/19: In-Person Instruction Today! - FINALIZED. We will meet in person, but will hear a mathematics candidate speak.

The Reading and Homework Assignments are due 4/24.

Reading Assignment

* Read Section 5.4 in HHW.

Homework

* Do the MyMathLab over today's material.

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/22.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1) Reversing the Chain Rule

(2) Two More Trig Antiderivatives

(3) Four Examples

(4) Three More Examples

(5) One Example, Two Answers

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Lots of good examples out there. Here is a basic example.

* Here is an example involving logarithms.

4/22: In-Person Instruction Today! - FINALIZED

The Reading and Homework Assignments are due 4/26.

Reading Assignment

* Read Section 5.5 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/24.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Substitutions and Definite Integrals

(2) Examples

(3) One Example, Two Substitutions

(4) Area Between Two Curves

(5) Two More Examples

(6) The Recurring Function, part IV

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is one video with some basic example.

* An example with an exponential function.

4/24: In-Person Instruction - FINALIZED

The Reading and Homework assignments are due 4/29.

Reading Assignment

* Read Section 5.6 in HHW.

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* Check the blog every day for new entries.

* Please fill out this brief survey for the Aspire Center regarding career support.

Required Videos to View Before Class on 4/26.

* None!

4/25 : Quiz today over the material covered on 4/17 (Riemann Sums), 4/19 (The Fundamental Theorem of Calculus), 4/22 (Substitution for antiderivatives). There will also be a second quiz over basic antiderivatives, similar to the last question on our previous quiz. - FINALIZED

4/26: In-Person Instruction - FINALIZED

The Reading and Homework Assignments are due 5/1. THERE AREN'T ANY!

Reading Assignment

* None.

Homework

* No MML assignment!

* Check the blog every day for new entries.

Required Videos to View Before Class on 4/29.

This online demonstration shows how to visualize the solids we're studying today in some cases.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) The Amazing Adding Machine

(2) Motivating the Method

(3) Our First Examples

(4) Slicing the Can Vertically

(5) Examples

(6) More Examples

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is an example with semi-circular cross-sections.

* Here is an example with triangular cross-sections.

4/29: In-Person Instruction Today - FINALIZED

The Reading and Homework Assignments are due 5/3.

Reading Assignment

* Read Section 6.1 in HHW up to Solids of Revolution: The Disk Method, skipping material and examples that are not relevant to the videos.

* There is also a bonus MyMathLab assignment over the "favorite function" type problems and a few other
topics. I recommend that you take a look at that assignment as you study for the final.

Homework

* Do the MyMathLab over today's material. You may use everything we have learned in the course to do the problems in this assignment; you do not need to use limits of sums, and in fact I strongly discourage you from using limits of sums.

* Check the blog every day for new entries.

Required Videos to View Before Class on 5/1.

Here are the formulas for volumes of solids of revolution, and here is the Mathematica code for visualizing the solids. I also found some online code for visualizing solids of revolution, and which you can download here as well.

(1) Disks and Washers

(2) The First Example

(3) Examining the Region

(4) Rotation about y=-2

(5) Rotation About x=0

(6) Rotation About y=3

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is an example involving \(y=x^2\).

* Here is an example about the \(y\)-axis.

* A generalization of the disk method.

5/1: In Person Instruction - FINALIZED

The Reading and Homework Assignments are due 5/6.

Reading Assignment

* Re-read Section 6.1 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 5/3.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) When Disks Aren't A Great Choice

(2) The Shell Method

(3) An Easier Way!

(4) One Region, Multiple Axes

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* Here is an example involving shells and \(y=x^{1/3}\).

* An example with an upper and a lower function.

5/2 : Quiz Today over the material covered from 4/22 (Substitutions), 4/24 (Substitutions on definite integrals), 4/26 (integration review), and 4/29 (volumes by slicing). - FINALIZED

5/3: In Person Instruction - FINALI ZED

The Reading and Homework Assignments are due 5/8.

Reading Assignment

* Read Section 6.2 in HHW.

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 5/6.

These videos were recorded last spring. Ignore any references to things that don't seem relevant to our class.

(1) Arc Length

(2) When Everything Works Great

(3) Surfaces of Revolution

(4) The Surface Area of a Cone

(5) Another Example

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* An arc length example.

5/6: In Person Instruction - FINALIZED

The Reading and Homework Assignments are due 5/10.

Reading Assignment

* Read Sections 6.3 and 6.4 in HHW.

Homework

* Do the MyMathLab assignment over today's material. You watched the videos to prepare for today's class.

* There is an optional MML assignment over getting information from graphs.

* Check the blog every day for new entries.

5/8: In-Person Instruction - Exam Review Day. This class is optional. All I will be doing is taking questions from you. I will live stream the session as usual.

5/9 : Exam 3 over the material covered from 4/12 (Antiderivatives) - 5/6 (Arc Length/Surface Area).

You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Course code (used to communicate with college registrars), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource whatsoever. You are not permitted to use your notes, your text, any text, MyMathLab, YourMathLab, AnyoneElsesMathLab, Google, WolframAlpha, anything on our course website (except of course the link to the exam!), or any other internet resource that I've omitted.

I will provide a calculator for you to use. No phones!

5/10: In-Person Instruction - Exam Review Day. This class is optional. All I will be doing is taking questions from you. I will live stream the session as usual.

5/13: Final Exams

Our final exam is today from 1:00-3:00 - we will use the final exam slot for our lab time. This cumulative final exam covers the entire course.

This is an exam, and you should not do anything that you would not do if you were taking the quiz in class in person. You may use the calculator I provide, paper, and a writing utensil. That's all!

You are not permitted to communicate with any human being by any means, including but not limited to, talking, phone conversations, text messages, email messages, hand signals, smoke signals, semaphore, Morse code, Force code (used to communicate with Jedi Knights), social media, antisocial media, or any other means that I've omitted. You are not permitted to use any internet resource whatsoever. You are not permitted to use your notes, your text, any text, MyMathLab, YourMathLab, AnyoneElsesMathLab, Google, WolframAlpha, anything on our course website (except of course the link to the exam!), or any other internet resource that I've omitted.
** That certainly includes communicating with other class members during the exam!**

5/14: Final Exams

5/15: Final Exams

5/16 : SUMMER BREAK BEGINS!

Template

Reading Assignment

* Read

Homework

* Check the blog every day for new entries.

Required Videos to View Before Class on 5/26.

* With the handout available either printed or online, watch these videos and take notes in the handout. If you have access to a printer, print a copy of the handout to use while watching the videos. If you do not have access to a printer, copy the handouts onto a piece of paper to use while watching the videos. Any questions on the videos? Ask them in the blog!

(1)

* While you are watching the videos or immediately after watching the videos, take this video quiz. You should take this quiz before our next class! This will count as a quiz. After you take the quiz, the answers should appear on the screen. You should also receive an email confirmation so you can check your answers.

* There is an optional video assignment in MyMathLab over this material.

Optional material from the Khan Academy

* The