Math AI
applications and interpretation
lecture notes
Topic 1. Number and algebra
- 1A. Basic algebra [SL and HL]
- 1B. Complex numbers - Matrices [HL only]
Topic 2. Functions
- 2A. Theory of functions [SL and HL]
- 2B. Modelling with functions [SL and HL]
Topic 3. Geometry and trigonometry
- 3A. Trigonometry [SL and HL]
- 3B. Vectors - Graph theory [HL only]
Topic 4. Statistics and probability
- 4A. Descriptive Statistics and Probability [SL and HL]
- 4B. Further Statistics [SL and HL]
[Detailed notes on 4B are under construction. Find some SHORT NOTES-GUIDES on the use of GDC at the end of this page]
Topic 5. Calculus
- 5A. Differentiation [SL and HL]
- 5B. Integration [SL and HL]
Notice: I am still organizing this section. At the moment, Most of the documents are complete.
Minor thinks have to added in: 2B and 5B
Under construction: 4B (Further Statistics)
SHORT NOTES on Further Statistics.
GDC instructions are for CASIO fx. I guess, the general methodology presented can be adapted to any other appropriate type of GDC.
- Chi-square test for GOF [SL and HL]
- Chi-square test for independence [SL and HL]
- Hypothesis test for means μ1, μ2 of Normal [SL and HL]
- Confidence interval for mean μ of Normal [HL only]
- Hypothesis test for mean μ of Normal [HL only]
- Hypothesis test for λ of Poisson [HL only]
- Hypothesis test for proportion p - Binomial [HL only]
- Hypothesis test for correlation ρ [HL only]
- Critical Region - Type I & II errors [HL only]