# Excerpts from the textbook:

First five sections of the text that are covered in our syllabus. (The margins are a bit weird.) Will be taken down soon!

# Videos

Lecture Videos – Here you will find the YouTube playlist for section R04, Spring 2018

More Lecture Videos – Here you will find the YouTube playlist for section R03, Spring 2018

# Syllabus

Syllabus – Here you will find the syllabus for the course

# Quiz Answers

Quiz 1 Blank – A blank version of quiz 1 for extra practice

Quiz 1 Answers – Answers to quiz 1

Quiz 2 Blank – A blank version of quiz 2 for extra practice

Quiz 2 Answers – Answers to quiz 2

Quiz 3 Blank – A blank version of quiz 3 for extra practice

Quiz 3 Answers – Answers to quiz 3

Quiz 4 Blank – A blank version of quiz 4 for extra practice

Quiz 4 Answers – Answers to quiz 4

Quiz 5 Blank – A blank version of quiz 5 for extra practice

Quiz 5 Answers – Answers to quiz 5

Quiz 6 Blank – A blank version of quiz 6 for extra practice

Quiz 6 Answers – Answers to quiz 6

Quiz 7 Blank – A blank version of quiz 7 for extra practice

Quiz 7 Answers – Answers to quiz 7

Quiz 8 Blank – A blank version of quiz 8 for extra practice

Quiz 8 Answers – Answers to quiz 8

Quiz 9 – A blank version of quiz 9 for extra practice

Quiz 9 Answers – Answers to quiz 9

Quiz 10 Blank – A blank version of the quiz for extra practice

Quiz 10 Answers – Answers to quiz 10

# Test Solutions

Test 1 – A blank version for extra practice

Test 1 Solutions – Solutions to test 1

Test 2 – A blank version for extra practice

Test 2 Solutions – Solutions to test 2

# 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 as written here is 1 hour and 15 minutes long, however, the test you will be getting is 50 minutes long.** There is benefit, however, to being able to sit through a longer test and do more problems in one sitting than you’d actually be required to do for test 1. 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.
- Finding composite functions: f(g(x)), etc.
- Finding the domains of various kinds of functions.
- Be able to solve exponential equations and log equations.
- Be able to set up expressions/functions based on geometric objects or a situation that is verbally described. Also be able to use said expressions/functions to solve problems; similar to the kinds of problems from section 1.1 #45 – 51 odd, that you did for HW 1, as well as Jhevon’s hotdog stand example in the second lecture (“Lecture 1”).
- 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, be able to recall derivative formulas, and compute derivatives of given functions using these formulas.

**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.

Step 3: After doing the test, take a break. Then come back and assess for yourself how you did. 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 to redo the test in 45 to 50 minutes.

Step 6: Check the solutions here; as in check them while discussing your attempt with a tutor.

Step 7: If you feel you’re remembering too much, swap problems out for similar problems in the homework and quizzes, or have someone do this for you. Practicing problems you’re familiar with will not help anything but your ego. Getting familiar problems correct is more a matter of memory than it is of proficiency and understanding.

Step 8: Ask Jhevon for advice at any point after step 2.

**Review for test 2
**

Here is the review guide for the second exam. It comes to you in the form of a test. It is important to note that **the test as written here is 1 hour and 15 minutes long. **Here’s how to go about preparing for the test:

Step 1: Before looking at the test, do your preliminary studying. You must treat this test as a real test. How you do one it the first time around will probably be pretty close to how you will perform on the actual test. So take this seriously. First, go over the items you will be expected to be able to do on the test. These are:

- Be able to find the derivatives of various functions.
- Know about marginal functions; how to find them, how to use them.
- Review exponential growth and decay.
- Review related rates.
- Review Optimization.
- Review curve sketching.
- Review finding absolute maximums and minimums.
- For bonus problems, be able to use the righthand, lefthand, or midpoint rules to approximate the area under the curve. Be able to find the exact area under the curve using an integral. Review the basic rules of integration and know how to use them.

**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.

Step 3: After doing the test, take a break. Then come back and assess for yourself how you did. 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 to redo the test in 45 minutes. You should probably do this on another day. You don’t want to remember too much and then mistake remembering for understanding. See step 7.

Step 6: After attempting the review on your own–with no help from anyone. You can check the solutions here when reviewing.

Step 7: If you feel you’re remembering too much, swap problems out for similar problems in the homework and quizzes, or have someone do this for you. Practicing problems you’re familiar with will not help anything but your ego. Getting familiar problems correct is more a matter of memory than it is of proficiency and understanding.

Step 8: Ask Jhevon for advice at any point after step 2.

**Review guide for the final**

Reviewing the old reviews, tests and quizzes is a good place to *start* reviewing for the final. Extra practice problems can be found in the handouts given in class and lastly the homework. The final will be about 2 hours and 15 minutes long and will require students to do nine problems total. There will be 11 problems split among two sections, with options for the second section. The breakdown is as follows:

Part I: Four compulsory problems. Topics: Finding derivatives, computing integrals, exponential growth/decay, and using the limit definition to find a derivative and then compute a tangent line.

Part II: Seven problems will be given from which students must complete five. There is no extra credit for doing more than the required number of problems, but I’ll give you credit for the best five problems completed if you complete more. Topics include: finding limits, related rates, optimization, curve sketching (including finding all the elements involved), approximating integrals, finding areas under curves, finding areas between curves, absolute extrema, and marginal analysis.