MAT183: November 2011 – March 2012

Calculus I

Contents

1. Functions, Limits And Continuity
2. Differentiation
3. Applications Of Differentiation
4. Integration
5. Applications Of Integration

Notes

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Tests Schedule

1. 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
2. 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
3. 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

References

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