1 / 13

Revision on High School Maths

Revision on High School Maths. Leo Cheung. About me. Leo Cheung Office: SHB117 Office Hours: Friday 9:30-12:30 Email: hycheung@cse. Agenda. Revision on basic Maths Induction Calculus. Logarithm. Given , express b in terms of a Prove.

seth
Download Presentation

Revision on High School Maths

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Revision on High School Maths Leo Cheung

  2. About me • Leo Cheung • Office: SHB117 • Office Hours: Friday 9:30-12:30 • Email: hycheung@cse

  3. Agenda • Revision on basic Maths • Induction • Calculus

  4. Logarithm • Given , express b in terms of a • Prove (HKCEE 92)

  5. Polynomials • Find quotient and remainder of • Factorize

  6. Arithmetic Progression • Calculate 1 + 3 + 6 + 8 + 11 + 13 + 16 + 18 + … + 48 + 51

  7. Interest • $1000 deposited • 10% interest rate per year (compound) • What is the balance after 5 years?

  8. Interest • $1000 deposited in the beginning of each year • 10% interest rate per year (compound) • What is the balance at the end of the 5th years?

  9. Induction • Prove 2+6+10+…2(2n-1) = 2n2 • Using induction, we have to prove • It is true for n=1 • If is true for n=k, then it is true for n=k+1

  10. Differentiation • Slope of a function • Useful in CSCI2800

  11. Integration • Inverse of differentiation • Area under a curve • Useful in ENGG2040

  12. Integration

  13. References • Additional mathematics : an exploratory approach • By S.W. Li, W.H. Wong, C.M. Yeung. • Hong Kong Educational Pub. Co. • Additional Mathematics : a guided course • By C.K. Chan, O.K. Fok, L.S. Ko. • Canotta Pub.

More Related