Grade 12 Unit 10

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Grade 12 Unit 10

MATHEMATICS 1210 CALCULUS AND REVIEW CONTENTS

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CALCULUS AND REVIEW the derivative and the integral that make up the differential calculus and the integral calculus. The third section is an introduction to slope of functions. The fourth section is a review that consists of major concepts of all ten LIFEPACs.

This LIFEPAC® contains four sections. The first section, Mathematical Induction, is a form of proof to be used on expressions or formulas that have consecutive integers in their results. The second section is an introduction to limits and an application of limits. The limit is the foundation of

OBJECTIVES Read these objectives. The objectives tell you what you should be able to do when you have successfully completed this LIFEPAC. When you have completed this LIFEPAC, you should be able to: 1.

Evaluate summation statements.

2.

Prove propositions by mathematical induction.

3.

Evaluate functions.

4.

Evaluate difference quotients.

5.

Evaluate limits of functions.

6.

Find the slope of a function by the limit process.

7.

Find the angle of intersection between two lines.

8.

Solve problems representative of precalculus.

Survey the LIFEPAC. Ask yourself questions about this study. Write your questions here. _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________

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I. MATHEMATICAL INDUCTION

OBJECTIVES 1. Evaluate summation statements. 2. Prove propositions by mathematical induction.

SUMMATION

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PROOFS BY MATHEMATICAL INDUCTION

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Review the material in this section in preparation for the Self Test. The Self Test will check your mastery of this particular section. The items missed on this Self Test will indicate specific areas where restudy is needed for mastery.

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SELF TEST 1

Score Teacher Check

14 17

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_______________________ _______________________ Initial Date

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