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WELCOME TO CALCULUS

WELCOME TO CALCULUS

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WELCOME TO CALCULUS

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  1. WELCOMETOCALCULUS Spring 2012 MAT 161 Mrs. King

  2. Introduction to Limits Created by Mrs. King OCS Calculus Curriculum

  3. What is Calculus? • Calculus is a process of applying limits to pre-calculus topics. • Calculus is mathematics in motion!

  4. http://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdfhttp://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdf

  5. http://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdfhttp://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdf

  6. http://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdfhttp://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdf

  7. http://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdfhttp://media.wiley.com/product_data/excerpt/84/07645249/0764524984.pdf

  8. What is Calculus?

  9. Before Calculus: • What is the x value of the removable discontinuity?

  10. Exploring the Concept of Limit

  11. Compare: Before Calculus: With Calculus: • What happens AT x=1? • What happens as the x values APPROACH 1?

  12. Informal Definition of Limit • If f(x) becomes arbitrarily close to a single number L as x approaches a number c from either side, the limit of f(x), as x approaches c, is L.

  13. Exploring the Concept of Limit

  14. Exploring the Concept of Limit

  15. Remember: • Calculus is math in motion. • When working with limits, (as in life), it’s not the destination which matters, it is the journey.

  16. Homework Page 54-55, #2, 3, 4, 6, 7, 9-16, 18