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MAT183: November 2011 – March 2012

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Calculus I

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Contents

- Functions, Limits And Continuity
- Differentiation
- Applications Of Differentiation
- Integration
- Applications Of Integration

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Notes

Click here to download.

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Tests Schedule

**Test 1: **~~8/1/2012 (Sunday) Week 6~~ 15/1/2012 (Sunday) ~~8.30am – 9.30am~~ 10am-11am (Dewan Dahlia)

a) Functions, Limits and Continuity

b) Differentiation
**Test 2: 5/2/2012 (Sunday) 10am-11am (Dewan Dahlia)**

a) Intervals of increasing and decreasing functions

b) Concavity and inflection points

c) Graphs of rational functions

d) Maximum and minimum values

e) Applied maximum and minimum problems

f) Integration
**Test 3: **~~26/2/2012 (Sunday)~~ 29/2/2012 (Wednesday) ~~10am-11am~~ 8:30pm-9:30pm (Dewan Dahlia)

a) Integration by substitution

b) Area as a limit and the definite integrals

c) Properties of definite integrals

d) The Mean-Value Theorem for Integrals

e) The Fundamental Theorem of Calculus

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References

- Anton, H., Bivens, I. & Davis, S. (2005).Calculus (8th ed.).John Wiley & Sons, Inc.
- Finney, Weir and Giordano, Thomas’ Calculus 10th edition, Addison-Wesley Pub. Com., 2001
- James Steward, Calculus 5th edition, Brooks/Cole Pub. Com., 1999.
- G.L.Bradley and K. L. Smith, Calculus, 2nd edition, Prentice-Hall Inc., 1999.
- D. Varberg and E. J. Purcell, Calculus, 7th edition, Simon and Schuster (Asia ) Pte. Ltd., 1997.
- Edwards and Penny, Calculus With Analytic Geometry 5th edition, Prentice Hall International Inc., 1998.

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