# Lecture Videos

Lecture Videos – Here you will find the YouTube playlist for the class

Our synchronous Zoom class videos can be found by clicking here.

# Syllabus

Syllabus – Here you will find the syllabus for the course

# Online HW

Homework will be done online via the Rederly platform which hosts a WeBWork server. You have been emailed a link that allows you to sign up for the HW. Contact me if you did not get the link.

# Old Quizzes with Answers

Quizzes and tests in our class will be given in a different format, mostly consisting of multiple choice, select all that apply and short answer questions–where you show your work separately. However, the mock quizzes and mock tests on this page will still be very useful.

Mock Quiz 7 – covers linear approximation, exponential growth/decay, marginal functions

Mock Quiz 8 – covers linear approximation and related rates

Mock Quiz 9 – covers critical points and absolute extrema/closed interval method

Mock Quiz 10 – covers curve sketching, and everything involved in the process

# Test Reviews

**Review for test 1**

Here is the review guide for the first exam. It comes to you in the form of a test. It is important to note that **the test you will be getting is 50 minutes long.** Here’s how to go about preparing for the test:

Step 1: Go over the items you will be expected to be able to do on the test. These are:

- Simplifying different sorts of functions, including ratios of functions, logarithmic and exponential functions.
- Finding the average rate of change of a function over some interval.
- Be able to solve exponential equations and log equations.
- Computing limits.
- Finding the derivative of a function via the definition of the derivative and using this to find a tangent line.
- For bonus problems, study Linear Approximation, Exponential Growth and Decay, or L’Hopital’s rule.

**WARNING:** Don’t spend too much time reviewing the above! A couple hours tops. You already put in the time and effort into these topics by doing homework and studying for quizzes, you just want to hone your skills a bit and brush up. Anything more is wasting time. You want to assess how you will do on a long form test as soon as possible, so don’t wait too long to start step 2.

Step 2: After doing your quick brush-up of the topics, complete the test below under timed conditions. Give yourself 50 minutes, no distractions, and take by yourself under test conditions.

Step 3: After doing the test, take a break. Then come back and assess for yourself how you did.

You can find the solutions here. Do NOT look at these unless you’ve taken the test under test conditions first.

You may also consult your classmates or see someone in the math help room to go over items you feel sketchy on. I highly recommend that you do this step with other people–either a small group of your classmates or one experienced tutor–it is not very efficient otherwise.

Step 4: Brush up again on the topics that you assessed gave you trouble in step 3.

Step 5: Try similar problems to the test, and be sure to always time yourself. If you were OK on time, you may practice topic by topic on anything you were shaky on. If timing is also an issue, create another mock test of the same format (or better, have someone make one for you) and retake that test. Assess how well you did again.

Step 6: You may ask someone to swap problems out for similar problems in the homework and quizzes. Practicing problems you’re familiar with will not help anything but your ego. So doing the same test over and over will have diminishing returns. Getting familiar problems correct is more a matter of memory than it is of proficiency and understanding. So practice similar problems, but not the same problems.

Step 7: Ask Jhevon for advice at any point after step 2.

**Review for test 2
**

Here is the review guide for the first exam. It comes to you in the form of a test. It is important to note that **the test you will be getting is 50 minutes long.** You should spend about 1 hour on the mock test. Here’s how to go about preparing for the test:

Step 1: Go over the items you will be expected to be able to do on the test. These are:

- Evaluating integrals, including using substitution.
- Finding the average rate of change of a function over some interval.
- Solving marginal function problem.
- Solving exponential growth/decay problems.
- Solving related rates problems.
- Solving optimization problems.
- Know how to sketch curves and find all the important features to do so.
- Know how to use the closed interval method to find absolute extrema.

**WARNING:** Don’t spend too much time reviewing the above! A couple hours tops. You already put in the time and effort into these topics by doing homework and studying for quizzes, you just want to hone your skills a bit and brush up. Anything more is wasting time. You want to assess how you will do on a long form test as soon as possible, so don’t wait too long to start step 2.

Step 2: After doing your quick brush-up of the topics, complete the test below under timed conditions. Give yourself 60 minutes, no distractions, and take by yourself under test conditions.

Step 3: After doing the test, take a break. Then come back and assess for yourself how you did.

Step 4: Brush up again on the topics that you assessed gave you trouble in step 3.

Step 5: Try similar problems to the test, and be sure to always time yourself. If you were OK on time, you may practice topic by topic on anything you were shaky on. If timing is also an issue, create another mock test of the same format (or better, have someone make one for you) and retake that test. Assess how well you did again.

Step 6: You may ask someone to swap problems out for similar problems in the homework and quizzes. Practicing problems you’re familiar with will not help anything but your ego. So doing the same test over and over will have diminishing returns. Getting familiar problems correct is more a matter of memory than it is of proficiency and understanding. So practice similar problems, but not the same problems.

Step 7: Ask Jhevon for advice at any point after step 2.

**Review for the Final Exam**

Hi all,

To help you prepare for the final, below is the final I gave in spring 2019. Use it in the same way I asked you to use the tests above. It is written to be 2 hours and 15 minutes long, so do not take longer than that to work through it.

Also, please note the following:

- I couldn’t find the solutions. The final I gave in spring 2020 was on a different online platform and it’s hard to get the printout of the problems in a nice pdf. So the spring 2019 final should suffice.
- The final is an in-person test, so the format of your final will be different.
- Noteworthy differences are: your final will be formatted similar to how tests have been formatted this semester; there are no choices, you will have to do all problems, as usual; I was thinking of asking you to find area between two curves, as well as ask you to approximate an expression with linear approximation, so expect those topics on your final, I don’t think they are on this one.
- Because your final will have a multiple choice component, expect some “conceptual” questions as well. Nothing strange, like the problems you’ve been getting in tests this semester. That being said, working through this final will give you very good practice, and will be a good review of the class and what I expect you to know. But in addition to working through these problems, make sure you can go over the final, and explain the concepts used in solving the problems.
- Without further ado, here’s the final: