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Precalculus- Topics On Final Exam

Please note that the following topics will be covered on the final exam. Please note that a more heavy emphasis is placed on term 2 material than term 1 material.

  • Composite Functions
  • Limits of a function
  • One-sided functions
  • Continuity
  • Derivatives
  • Product Rule
  • Quotient Rule
  • Chain Rule
  • Power Rule
  • Finding Tangents
  • Implicit Differentiation
  • Higher Derivatives
  • Asymptotes
  • First Derivative Test (Increasing/Decreasing Functions)
  • Second Derivative Test (Concavity, Points of Inflection)
  • Radians/Degrees
  • Trigonometric Identities
  • Trigonometric Proofs
  • Derivatives of Trigonometric Functions

**NOTE: The other day I told some of you that sin x approached 1 in a question. I misinterpreted the x as being when x=o but in reflection, x is equal to the angle of rotation thus when there is 0 rotation, sin x is also equal to 0. Please take note of this correction (sin x=0, not 1). Sorry if I confused anyone.

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Order of Oral Exams

This is just a reminder for students of the order for each oral exam next week:

Precalculus

  1. Brian
  2. Kelcy
  3. Clare
  4. Lauren
  5. Matt
  6. Nabila
  7. Mac
  8. Ricky
  9. Chase

Chemistry

  1. Lauren
  2. Brian
  3. Matt
  4. Chase
  5. Mac
  6. Clare
  7. Nabila
  8. Ricky

Physics

  1. Mac
  2. Nabila
  3. Matt
  4. Brian
  5. Kelcy
  6. Lauren

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Precalculus- Oral Exam Details

The oral exam for precalculus will be focused on chapters 2, 4 and 5 from the text. This includes:

1. Derivatives

  • Power rule
  • Sum and Difference Rules
  • Product Rule
  • Quotient Rule
  • Chain Rule
  • Implicit Differentiation

2. 1st and 2nd Derivative Tests

You may be asked to solve and explain a problem as well as answer follow-up questions from me. The oral exam should take approximately 10 minutes and is worth 10% of your final grade.

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Physics- Reflection Assignment, June 3, 2009

In the last week, we have been watching some speakers talk on some of the bigger ideas that are dominating in the field of physics as well as in science in general. You have had the opportunity to hear some of the brightest and most knowledgeable people speak. You are asked to write a reflection on some of the things you have seen and what your thoughts, opinions or questions are after hearing these speeches.

This is a very open-ended reflection. You may choose to speak on one video or idea or talk about the broader issues that each video touched on. Some prompters to get you started:

  • Do you feel more certain or less certain about science now that you have heard the assumptions that are necessary for quantum mechanics to be true?
  • What are some questions that have been raised?
  • What are your thoughts on the super collider? In light of the recent failures, is this a project worthy of the investment?
  • Is pursuing the super collider experiment ethical?
  • Did Richard Dawkins raise fair points about the difference between faith and science or was he biased in his representation?
  • Do you think that that other dimensions could exist?

The reflection may be written inĀ  first-voice but should have correct grammar, spelling and be well organized. The reflection should be between 200-250 words and can be emailed to me. Please complete your reflection by Monday, June 8th (email should be received by 8AM).

Richard Dawkins Video

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Precalculus- Reminder about Trigonometric Identities Assignment

This is just a reminder that the trigonometric identities assignment will be due Monday, June 1st in class. Please ensure that you have written legibly and that you have included all the required information.

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Math Days

toothpastefordinner.com
toothpastefordinner.com

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Precalculus- Test on Thursday, May 28, 2009

This is just a reminder that there will be a precalculus test this upcoming Thursday, May 28th.

  • Vertical and Horizontal Asymptotes (5.1 and 5.2)
  • Concavity and Inflection (5.3)
  • Second Derivative Test (5.4)
  • Functions of Related Values (6.1)
  • Addition and Subtraction Formulae (6.2)
  • Double Angle Formulae (6.3)
  • Half-Angle Formulae (notes)

In addition to these topics, you should be familiar with the basic trigonometric properties, including:

  • Pythagorean Identity
  • csc x, cot x, sec x
  • Radians and Degrees
  • tan x =sin x/cos x

For those who are interested in starting to study, you can review topics from chapter 5 using your homework notes but also pg. 245 (#1-4).For chapter 6 problems, try pg. 268 (#4, 6, 7) and pag. 295 (#1-3).

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