The City College of New YorkCCNY
Department of Mathematics
Division of Science

Math 195 GH - Spring 2019

Course Syllabus

Math 195 GH Spring 2019 Syllabus - Course syllabus. Contains grading policy, requirements, assignments and other important info.

Video Recordings of Lectures

Click here for video recordings of the lectures posted on YouTube.

Quiz Answer Keys

Be careful using the answers. It is often the case that students view the answers prematurely and in the end it doesn't help. Blank versions are provided here as well. If you did poorly on a quiz, do not look at the answers right away. Print out THE VERSION YOU TOOK, go over this version slowly. No help at first. If you still do poorly after going over it slowly, then use your text/notes to help. If that still doesn't go well, go see a tutor. Only after this point should you look at the answers--after you've made several attempts on your own and then got human help. At the end of this cycle, print out the OTHER version, the one you didn't take, and then go through that, no help, under timed conditions. The grade you get then will accurately represent what you understand.

Quiz 1

Quiz 2

Quiz 3

Quiz 4

Unfortunately, while they are not exactly the same, both versions of quiz 4 are similar. When printing, one version got corrupted and I had to create another version on the spot with short time. I ended up reusing some stuff. There will still be some benefit in following the instructions at the top of this section, but it will be less so with this quiz.

Quiz 5

Quiz 6

Quiz 7

Quiz 8

Quiz 9

Khan Academy

Khan Academy Links have been compiled and organized by the course supervisor. These links go directly to the appropriate Khan Academy page to learn and practice the topics in our syllabus.

I have not vetted these myself, but they are worth checking out for students who like to practice this way.

Reviews for Tests

Test 1 Review

FOLLOW THE ADVICE/INSTRUCTIONS!

The most important assessment metric is what you can do correctly by yourself. If you did not get a problem correct entirely by yourself, assume you don't understand that problem. Whether you get help from looking at a written solution, or an answer, or a hint from another human, or by watching virtual Jhevon on YouTube, any help you get indicates that there's something you don't understand. Strive to be able to do a problem correctly all by yourself. When you can get several problems for some topic correct, back to back, while almost being bored, then you can say you understand that topic. At all times, prioritize what you can do on your own.

I am not saying don't get help (you should!), but don't confuse the help for your own understanding. I will give you instructions on how/when to get help in this section. Be sure to distinguish between what you originally did vs what you got help with. Use a different writing color, or use a different paper all together. You need to save your original work, and don't copy the help you got from somewhere else in the same place as your original work. Your original attempt must be kept in its original form. Do not contaminate this. Any time you get help, write it somewhere else or write it in a different color ink, etc.

Don't practice the same problems over and over. It is easy to confuse "understanding" with "remembering". If you need more practice on a certain problem type, consult your textbook for new problems.

A. Do some preliminary studying, as I've been describing in class and have been suggesting by quizzes (know general formulas, methods, concepts, etc.) This should not take you too long, assuming you've been studying for quizzes. But take some time to really sharpen up on these. Work out all the kinks, so you can recall a fact quickly and accurately, by rote, on command.

B. Save all the scrap paper that you use for studying.

C. Below you will see problem sets to complete, taken from past finals. Do one problem set at a time, in its entirety, under test conditions. The time you should take will be indicated. Do not go beyond this. If you run out of time before you complete a problem, write "ran out of time" in the space where you'd normally write the solution. You may do the solution afterwards (somewhere else, or with a different color ink) just to see that you could do it if you had not ran out of time. After each set, assess how you did, using any source--but a tutor or teacher is best.

D. Pay attention to the type of problem you're really good and/or fast at doing. These should be the problems that you do FIRST on the actual test. Do not do a test in order. Do what is easiest first. This builds momentum, confidence, and ensures that you don't lose points by running out of time when you could have done a problem. A slight variation on this is to start by doing the test in order, but the moment you realize you're stuck, just move on quickly and come back later. Since some people will get engrossed in a problem, let me put a time limit here: 2 minutes. If you're looking at a problem for 2 minutes and nothing is coming to you, move on. (Each problem should take you about 6.5 minutes total.)

E. Go here to access the final exams mentioned. Do the indicated problems within the indicated time. After each set, fill in the gaps with your notes, or the help of a tutor, etc. Then, once confident you understand, move on to the next set. The goal is, by the time you get through all problem sets, all your major gaps would have been filled. But you must do the work by yourself first, BEFORE getting help. It's OK if you leave something blank or half done at the first run through. Just fill in the gap afterwards, and again, make sure you don't confuse your original attempt (or lack thereof) with the help that you get! Keep these separate! You (or I) will need this to assess (and fix) your weaknesses later.

  • Fall 2010: 1, 3, 4, 7, 10, 11, 12, 13, 14, 15, 20, 22, 23 (1 hour and 15 minutes)

  • Spring 2011: 1, 3, 4, 7, 10, 11, 12, 13, 14, 15, 20, 22, 23 (1 hour and 15 minutes)

  • Fall 2012: 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 17, 22, 23, 24 (1 hour and 40 minutes)

  • Fall 2015: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18 (1 hour and 30 minutes)

  • Spring 2017: 1, 2, 3, 4, 5, 6, 7 ,8, 9, 10, 11 (1 hour and 10 minutes)

  • Spring 2018: 2, 5, 6, 7, 9, 11, 12, 16 (52 minutes)

  • Summer 2018: 2, 6, 7, 9, 10, 11, 12, 16, 21 (1 hour)

  • Winter 2019: SKIP THIS! Do NOT look at this final. We are saving it for the final exam review!

F. In the interest of time, you may complete several (2 or 3) problem sets before seeing me or a tutor. But you should do so BEFORE getting through the last problem set. You should be checking your work with a tutor (or some other way) intermittently. And after each such occasion, you should practice new problems to see if what you were told has sunk in.

Test 2 Review

Test 2 will be a Take Home Test. However, if you think that means you shouldn't be studying, that would be a big mistake. Study for it as if it is not a take home. This will help you study for the final at the same time, which is WAY more important. A good test 2 grade will not save you if you get a bad final exam grade.

  • Follow the advice/instructions from the test 1 review.

Go here to access the final exams mentioned. Do the indicated problems within the indicated time.

  • Fall 2010: 2,5,6,8,9,16,17,18,19,20,21,24 (1 hour and 12 minutes)

  • Spring 2011: 2,5,6,8,9,16,17,18,19,20,21,24 (1 hour and 12 minutes)

  • Fall 2012: 5,12,13,14,15,16,18,19,20,21 (1 hour)

  • Fall 2015: 1,12,13,16,17,19,20,21,22,23,24 (1 hour and 5 minutes)

  • Spring 2017: 11,12,13,14,15,16,17,18,19,20 (1 hour)

  • Spring 2018: 1,3,4,10,12,13,14,15,17,18,19,20 (1 hour and 12 minutes)

  • Summer 2018: 1,3,4,5,12,13,14,15,17,18,19,20 (1 hour and 12 minutes)

  • Winter 2019: SKIP THIS! Do NOT look at this final. We are saving it for the final exam review!

Final Review

Do the following in the order shown.

  • Within one day of the last class, studying for the final as you have been instructed to study throughout the course. Learn your main definitions and formulas, learn the manipulations, learn the Dos and DONTs, learn the typical problems and how to do them, and the differences between each problem type (how is solving an equation different from solving an inequality, etc.), etc. I've given a lot of advice on how to study and how to know you're doing it right and how to know you're following up correctly. Hopefully you paid attention, wrote it all down and started putting it into practice when I gave the advice. By now, all the kinks should be worked out and you should be good at studying this way. I won't go into all the advice here, but the second sentence in this paragraph is to give you an idea of what I mean by "study".

  • Within two days of the last class, go here and do the Winter 2019 final under test conditions. THIS SHOULD BE THE FIRST TIME YOU ARE SEEING THESE PROBLEMS. As I instructed, you were to not look at this final in your prep for previous tests. If you did, this step would be a bit harder. You need to find someone who knows what they are doing to create a final for you of similar difficulty. Pay them if you have to. Whatever it takes. Once you have an unfamiliar problem set that can work as a final, do that.

  • Within three days after the last class, assess how you did on the final in the bullet point above. Be honest!!! If you get anything wrong, even if it is for a "silly" reason, take it seriously and look over the topic. Work out the gaps in your knowledge. Let this inform the second round of your studying. Study based on these gaps. At this point, your studying will be very individual to you.

  • As much as is possible, rinse and repeat the bullet points above. Get several problem sets and work them out under test conditions. These should be as close to a final as possible. If you forgot the problems for the old finals, you can redo them (with less time). If you didn't do the review for the tests when you should have, now's your time to do them and make up for that. Do not cheat yourself, don't go easy on yourself, ask someone to make challenging tests and do them and honestly assess yourself. Revise your mistakes and do the process over again. Keep doing it until you're getting an A.

  • You MUST do the first three bullet points as instructed. If, after that, you REALLY don't have time. (More than likely you do even if you think you don't. You will lie to yourself to stop the discomfort, be aware of this!) But if you REALLY don't have time, then make problem sets consisting ONLY of problems you have a lot of difficulty with. Hopefully this is smaller than an entire final. Once you create a test full of your worst nightmares, give yourself 6 minutes per problem, and do this nightmare test under test conditions. Then follow up as I have been instructing you to.

It may take you 3 cycles of studying and doing practice finals, it may take you 20. It does not matter. Whatever it takes, however long it takes, whatever it costs, whatever inconveniences arise, DO NOT STOP UNTIL YOU HIT THE MARK. This is how success is achieved. That's what it takes. It's uncomfortable and frustrating, which is why many are not successful. But the end result is SO rewarding. The end result is that you will be able to take on bigger challenges. Some will run from this frustration and challenge. You need to be different. What you want is on the other side. Keep pushing. At all cost, keep pushing. Your success is in YOUR hands, and no one else's. Not even mine. You will give yourself a grade at the end of this term, I'm just the guy recording it in CUNY first. Keep pushing!

Blank Tests and Solutions

How to use these tests and solutions

Remember, there is no substitute for your own work. If you just go straight to looking at the solutions, it will not be as helpful to you. Especially if you're not doing so well, and you feel like you didn't do so well on the test. Print out the blank versions first. Work through the version that you took and try to fill in the gaps on your own. First, work through it with no help, then you may use your notes to help you. If you still have gaps or insecurities, you can get help from a tutor. At this point, when seeing the tutor, you can print out the solutions and take them with you and have the tutor review them and help you understand them. Once you're confident your gaps are filled in, try the OTHER version under test conditions (with slightly less time), and you can check your work with the solutions then. Be sure to distinguish what you do on your own vs what you do with notes vs what you do with a tutor. Your metric of understanding is ALWAYS what you can do on your own.

Test 1

Test 2

Announcements

  • Test 1 is on March 27.
  • Last day to withdraw is April 1.
  • Test 2 is on May 15. The test was moved to this day because of the snow day.
  • The final is on Mon. May 20th at 6:00pm.
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