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To properly prepare for your upcoming midterm exam, here are some pointers: - The exam covers Lessons 1 to 7 in my book.
- Several profs have stated this term that there will be no PROOF on the exam this year. They have finally got
rid of that. So, do not waste your time memorizing the "required proofs" that I list on pages 3 and 4 of my book.
- Don't do the limits first! Almost always, the first page of the exam is limits to do. But limits is a vast topic, and often students find themselves stumped by one or more of the limits they are asked to do. That is no way to start your exam!
- Instead, I suggest you flip to the question that says "Do the derivatives of the
following" and start there. If you have properly prepared (by thoroughly studying Lesson 5 in my book), you should feel confident that you can do any derivative put in front of you. Also, as you are walking into the exam room, you should be reciting to yourself, "Don't miss GOOFY CONSTANTS!" There is always a goofy constant in the derivatives, spot it, and don't miss it. And, DON'T FORGET THE NEW POWER WHEN YOU DO A POWER
RULE! That is a very common silly mistake.
- Make sure you have all your trig derivatives memorized, and my 1-2-3 Trig Table straight (see Lesson 1 Trig Review). At the very least, make sure you have memorized that sin0 = 0 and cos0 = 1. Also, be ready to solve a sinh/h limit like I go through in Lesson 2, #16. You should be familiar with Squeeze Theorem (Lesson
2, #17), too. They put one on the midterm last term, and may do the same this term.
- Make sure you know that e to the power of 0, e^0 = 1, in fact that anything to the power of 0 equals 1. Might come into play. Make sure you ln(1) = 0 and ln(e) = 1. See my logs and exponentials review in Lesson 1.
- Make sure you have thoroughly practised Lesson 6 (Implicit
Differentiation) and understood the concept of legal derivatives vs illegal derivatives (my metaphor). This is a major question on the midterm, and very doable if you make the effort to practice.
- Don't give up on Related Rates Word Problems (Lesson 7)! They aren't that bad. There really are only about 4 or 5 different questions. A few hours effort and you can learn how to do every single one of the problems I give you in the
lesson. At the very least, be able to do my Lesson 7 Lecture Problems #1, #2, #3, and #5.
Good luck, and I am happy to assist if you have a question while studying. My preference is that you contact me via Whatsapp @ my phone number 204-489-2884. |
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