Math AI

applications and interpretation

exercise

Numbering of the documents is in accordance with my lecture notes

   [MAI  xxx ]  =  Questions together with extra space for answer
                [S]  =  Solutions

Titles in GREEN are for SL and HL  

Titles in BROWN are only for HL

 Documents in grey font are under construction.


Topic 1. Number and algebra


1A. Basic algebra

1B. Complex numbers - Matrices

  • [MAI 1.8] Complex - Cartesian                                   [S]
  • [MAI 1.9-1.10] Complex - Polar                                    [S]
  • [MAI 1.11] Sinusoidal functions                                    [S]
  • -------------------------------------------------
  • [MAI 1.12-1.13] Matrices                                              [S]
  • [MAI 1.14] Matrix equations - the system AX=B        [S]
  • [MAI 1.15] Transformation matrices                           [S]
  • [MAI 1.16] Eigenvalues - Eigenvectors                       [S]

Topic 2. Functions 


2A. Theory of functions

2B. Modelling with functions

  • [MAI 2.13-2.14] Linear, quadratic, cubic models     
  • [MAI 2.15] Power function model                           
  • [MAI 2.16] Exponential model                                   [S]  
  • [MAI 2.17] Financial applications                               [S} 
  • ------------------------------------------------------
  • [MAI 2.18] Sinusoidal model                                     
  • [MAI 2.19] Logistic model                                      
  • {MAI 2.20-2.21 ] Nat. log model - Linearisation   
  • [MAI 2.22] Piecewise model                                 

Topic 3. Geometry and trigonometry


3A. Trigonometry

3B. Vectors - Graph theory

  • [MAI 3.9-3.10] Vectors - Basic notions
  • [MAI 3.11-3.12] Dot product and Cross product
  • [MAI 3.13-3.14] Vector equation of a line
  • -------------------------------------------------------


Topic 4. Statistics and probability


Topic 4A. Descriptive Statistics - Probability

Topic 4B. Further Statistics


Topic 5. Calculus


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