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Calculus

CliffNotes Calculus AB & BC

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Kelley Calculus

PETERSON?S MASTER AP CALCULUS AB & BC 2nd Edition W. Michael Kelley Mark Wilding, Contributing Author An ARCO Book ARCO is a registered trademark of Peterson?s, and is used herein under license by Peterson?s. About Peterson?s, a Nelnet company Peterson?s (www.petersons.com) is a leading provider of education information and advice, with books and online resources focusing on education search, test preparation, and financial aid. Its Web site offers searchable databases and interactive tools for contacting educational institutions, online practice tests and instruction, and planning tools for securing financial aid. Peterson?s serves 110 million education consumers annually. For more information, contact Peterson?s, 2000 Lenox Drive, Lawrenceville, NJ 08648;

AP CALCULUS BC REVIEW GUIDE

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Calculus
Multivariable calculus
Mean value theorem
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Fundamental theorem of calculus
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ap calc review guide

2009?2010 AP BC Calculus First Semester Exam Review Guide I. ?BIG 7? THEOREMS (be able to state and use theorems especially in justifications) Intermediate Value Theorem Extreme Value Theorem Rolle?s Theorem Mean Value Theorem for Derivatives & Definite Integrals FUNDAMENTAL THEOREM OF CALCULUS ? Be sure you remember the 2nd part is called the Total Change Theorem Also, in your justifications, if a problem says it is differentiable at x = a, then the function is continuous at x = a. (Differentiability implies continuity, but not vice-versa.) II. VOCABULARY/KEY CONCEPTS CHAPTER 1: 1. Distinguish the graphs of parent functions without the use of a calculator. (handout) 2. Define an absolute value function as a piecewise function. (pg. 17)

How to mae good Grades

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HOW TO MAKE GOOD GRADES IN CALCULUS ONE IMPORTANT TIP : DON?T STUDY HARDER STUDY SMARTER
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Calculus

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Unit Circle

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Basic Aglebra

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Algebra
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Basic algebra

Basics of Algebra Algebra is a division of mathematics designed to help solve certain types of problems quicker and easier. Algebra is based on the concept of unknown values called variables, unlike arithmetic which is based entirely on known number values. This lesson introduces an important algebraic concept known as the Equation. The idea is that an equation represents a scale such as the one shown on the right. Instead of keeping the scale balanced with weights, numbers, or constants are used. These numbers are called constants because they constantly have the same value. For example the number 47 always represents 47 units or 47 multiplied by an unknown number. It never represents another value.

light mechanical model

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Chemistry
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the amplitude of a wave is the wave's height from zero to the crest. the wavelength is the distance between the crests. the frequency is the number of wave cycles to pass a given point per unit of time. the SI unit of cycles per second is called hertz (Hz). the wavelength snf frequency of light are inversely proportionate to each other. the product of the frequency and wavength is always a constant (c), the speed of light.

Trigonometry

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Calculus

Pre ? Calculus Math 40S: Explained! www.math40s.com 9 Pre ? Calculus Math 40S: Explained! www.math40s.com 10 Trigonometry Lesson 2 Part One ? The Unit Circle The Unit Circle What you see here is the unit circle. This is a useful tool in: a) Comparing angles in degrees & radians. b) Finding exact values of the six trigonometric ratios. It is very important you memorize the unit circle

Using integration to find position and velocity

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Acceleration, velocity, and Position The connections between position, velocity, and acceleration formed one of the important themes of differential calculus. We will find that these relationships also form an important application of the definite integral, especially in cases in which one of the quantities varies with time.? To discuss these concepts, we will use the notation:? Relating velocity to acceleration? Remembering that the acceleration is defined by the derivative? we can apply the Fundamental Theorem of Calculus to write this relationship in the form? If we pick call the initial time??and the final time??, then this integral has the form? Relating Position to Velocity? The velocity is defined by the derivative? By the Fundamental Theorem of Calculus,?

REVIEW ON ALGEBR before Calc

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Algebra 2 review before Calculus

Honors Pre- Calculus Packet #1: Sections 1 ? 13, TEACHER?S EDITION Section 1. Find the product of the polynomials. 1. 2. 3. 4. 1) 16x2-8x+1 2) 4x2-20x+25 3) 2x3+18x2+54x+54 4) 2x3+21x2-31x+60 5. 6. 7. 8. 5) 4x2-9 6) 49x2-16 7) 2x2+12x+18 8) 9. (x ? 2)(x2 + 2x + 4) 10. 11. 12. 9) x3-8 10) 8x3+36x2+54x+27 11) 24m2+48mn+24n2 12) 3x3-25x2+18x+24 Section 2. 1. Given: , , , , find the following: (a) (b) (c) (d) 1a) 13 1b) 1c) 4 1d) (e) (f) (g) (h) 1e) {(5, 3), (4, 2), (7, 1)} 1f) no inverse, not 1-1 1g){(3, 1/5), (2, ?), (1, 1/7) } 1h) 2. Given and , find the following: (a) (b) (c) (d) 2a) -3 2b) 2c) -38 2d) (e) (f) (g) (h)

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