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Theorem

AP CALCULUS BC REVIEW GUIDE

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Calculus
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Mathematical analysis
Mathematics
Calculus
Multivariable calculus
Mean value theorem
Differentiable function
Fundamental theorem of calculus
Integral
Extreme value theorem
Fundamental theorem
Theorem
Rolle's theorem
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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)

Geometry Theorems and Postulates

Subject: 
Geometry
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Mathematics
Geometry
Logic
Euclidean geometry
Plane
Surfaces
Line
Dimension
Theorem
Axiom
Projective geometry
Finite geometry
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postulates theorems

MATH NOTES PART ONE Geometry- A metric system of measuring the earth Four parts of a mathematics system- undefined terms, defined terms, postulates, theorems Defined terms- postulates, theorems Undefined terms- a point (use capitals), a line (name it with capitals, or name it line l), a plane (adds a new dimension) Zero-dimension- the dimension of a point One-dimension- the dimension of a line Two-dimensional- the dimension of a plane Collinear- when two points are on the same line Non-collinear- when two points are NOT on the same line Non-coplanar- if the point can never be in the plane Postulates- statements accepted without proof Theorem- statements that can be proven with postulates Segment- is part of a line that has two endpoints
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