# It is IMPORTANT that you do not prematurely look at any solution file on this page. Follow the instructions given here and in class on when and how to access any testing and solutions documents.

# Excerpts from the text:

First six sections of the text. This will help with some of your functions review as well as the first few sections of our syllabus. Will be taken down soon.

# Lecture Videos

Lecture Videos – Here you will find the recorded lecture playlist for the class.

# Syllabus

Syllabus – Here you will find the syllabus for the course.

# Online HW

Instructions on how to enroll in the class can be found here.

The class key for this class is: **fordham 2154 8336**

The login page, once you’ve enrolled can be found here.

# Grades

You can see your current grades here!

# Ask questions

Need to ask a question about math/the class? Use this Forum.

You can post anonymously, but you don’t have to. It’s better for the community if we can learn each other’s names 🙂

# Take tests–Gradescope

Log in here to take your tests and Final!

# Lecture Notes

You can find the lecture notes here, look under the tab called “Lecture Notes”.

# Test Solutions

Solutions to tests can be found under the “Solutions to Tests” tab here.

# Quiz Blanks & Answers – From a Past Semester

Our class will not have quizzes. This section is for practice. I’ll talk about how to use these in class. It’s IMPORTANT that you do not abuse these.

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 the quiz for extra practice

Quiz 4 Answers – Answers to quiz 4

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

Quiz 5 Answers – Answers to quiz 5

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

Quiz 6 Answers – Answers to quiz 6

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

Quiz 7 Answers – Answers to quiz 7

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

Quiz 8 Answers – Answers to quiz 8

Quiz 9 Blank – A blank version of the quiz 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 (with calculations and graph) – Solutions to quiz 10

Quiz 11 Blank – A blank version of the quiz for extra practice

Quiz 11 Answers – Answers to quiz 11

Quiz 12 Blank – A blank version of the quiz for extra practice

Quiz 12 Answers – Answers to quiz 12

Quiz 13 Blank – A blank version of the quiz for extra practice

Quiz 13 Answers – Answers to quiz 13

# 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.** 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:

- Being able to find a derivative using the definition of the derivative and finding the tangent line to a function.
- Know about continuity; how to change values in a function to make it continuous; how to determine where a given function is continuous.
- Computing all sorts of limits.
- Stating the Intermediate Value Theorem and applying it to prove the existence of roots to an equation.
- Computing derivatives using the derivative rules and formulas.
- For bonus problems, finding derivatives using more sophisticated techniques, like logarithmic differentiation. Discussing the concavity and inflection points of a function. Solving simple Related Rates problems.

**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.

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.

Step 9: When you feel like you’re absolutely ready and you’ve completed the above and studied until you’ve passed out. Access the test below and complete it in 50 minutes. This is an old test I gave my class in the spring. Your test will be similar.

Old Test 1 – A blank version of test 1 for extra practice – This is from Spring 2019

Old Test 1 Solutions – Solutions to test 1 – Use this responsibly! I’ll talk about this in class.

**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 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:

- Computing various integrals.
- Optimization
- Motion problems
- Mean Value Theorem
- Finding absolute maximums and minimums
- Computing the derivatives of definite integral functions
- Using linear approximation to approximate some value
- Finding areas using finite and infinite Riemann sums
- For bonus problems: Finding areas between curves, using differentials to approximate errors, computing more integrals with more sophisticated techniques, like integration by parts.

**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.

Step 6: You can check the solutions here after trying the review yourself.

Step 7: Have someone else create a similar test, and do that. Any calculus tutor can do this for you easily (if your calc tutor can’t, find another tutor). 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. So find a way to practice new problems. For the calculation based problems, like finding integrals, consider doing drills as described in class to get proficient at them.

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

Step 9: When you feel like you’re absolutely ready and you’ve completed the above and studied until you’ve passed out. Access the test below and complete it in 50 minutes. This is an old test I gave my class in the spring. Your test will be similar.

Old Test 2 – A blank version of test 2 for extra practice – This is from Spring 2019

Old Test 2 Solutions – Solutions to test 2 – Use this responsibly! I’ll talk about this in class.

**Final Exam Review**

Here is a mock final. Solutions will NOT be provided. Math 1206 Mock Final.

For more practice, you can have someone create more mock finals for you based on the above. A good tutor would be able to do this.

Here are some more final exams, not written by me, but covers most of the same topics. They are written to be 2 hours and 15 minutes long.

Sample final 1 (no solutions)

# Documents and Class Handouts

Related Rates – Handout covering section 2.8 in the text.

Curve Sketching – Handout covering section 3.5 in the text.

Optimization – Handout covering section 3.7 in the text.

Integration Worksheet – Some problems for integration practice.