PGD01C01
Core theory
3 credits
5 modules · 29 topics

Mathematical and Statistical Foundation of Data Science

Mathematical and statistical building blocks used across data science: discrete math, graphs, linear algebra, vector geometry, and probability.

Course outcomes
  • Use mathematical concepts in the field of data science.

  • Employ the techniques and methods related to the area of data science in a variety of applications.

  • Apply logical thinking to understand and solve the problem in context.

References
  1. G. Strang, Introduction to Linear Algebra, 5e, Wellesley-Cambridge Press, 2016.

  2. Bendat & Piersol, Random Data: Analysis and Measurement Procedures, 4e, Wiley, 2010.

  3. Montgomery & Runger, Applied Statistics and Probability for Engineers, 5e, Wiley, 2011.

  4. David G. Luenberger, Optimization by Vector Space Methods, Wiley, 1969.

  5. O'Neil & Schutt, Doing Data Science, O'Reilly, 2013.

  6. Kenneth H. Rosen, Discrete Mathematics and Its Applications, 7e, McGraw-Hill, 2011.

  7. Mott, Kandel & Baker, Discrete Mathematics for CS & Mathematicians, 2e, PHI, 2002.

  8. Mitzenmacher & Upfal, Probability and Computing, 2e, Cambridge, 2017.

  9. Agresti, Franklin & Klingenberg, Statistics: The Art and Science of Learning from Data, 4e, Pearson, 2017.