Mathematical Foundation of Data Science

Learn App Data Science concepts with Mathematics

Limited offer2k/mo2.5k/mo

Duration

16 weeks

Level

Intermediate

Online

Yes

Syllabus Overview

Probability & Foundations (1–6)

  • Probability, CDF, and key Distributions
  • Expected Value and Variance; Conditional Expectation
  • Introduction to Markov Chains

Sampling, Estimation & Inference (7–10)

  • Random Samples; Sampling Distribution of Estimators
  • Method of Moments & Maximum Likelihood
  • Statistical Inference (CIs, hypothesis testing)

Multivariate Models & PCA (11–13)

  • Multivariate statistical models
  • Principal Component Analysis (PCA)
  • Model Overfitting

Graph Theory Essentials (14–20)

  • Graph Theory overview; Overfitting recap linkage
  • Isomorphism; Planar graphs; Graph Coloring
  • Hamiltonian & Euler graphs
  • Permutations & Combinations

Data Mining (21)

  • Basics of data mining tasks and workflows

Applied CS Topics (22–30)

  • Network Protocols; Web Traffic Analysis
  • Computer Security; Software Engineering
  • Computer Architecture; OS & Distributed Systems
  • Bioinformatics; Machine Learning; Recent Trends

Prerequisites

Basic Python programming knowledge and understanding of fundamental programming concepts