This course introduces the foundational data science tools and techniques, including basic probability theory and statistics. A variety of exploratory data analysis techniques will be covered, including numeric summary statistics and basic data visualization. Students will be guided through installing and using R and R-Studio, a free software used in data analysis. This course is presented for beginners who want to start and complete the foundational part of data science, before moving onto the more advanced topics in Statistics and Machine Learning.

Introduction to R [2]

R fundamentals

Arithmetic with R

Numerical Data Handling: Vectors and Matrices

Categorical Data Handling

Data frames and Lists

Data Visualization in R [3]

Basis R graphics

Different plot types

Bivariate data visualization

Descriptive Statistics using R [3]

Exploring Categorical Data

Exploring Numerical Data

Numerical Summaries: Mean, Variance, Correlation

Introduction to probability [4]

Definition of probability

Conditional probability

Bayes’ rule

Independence of events

Random variable & Probability distributions [4]

            Probability mass/density function

            Distribution function

            Expectation and Variance

Discrete distribution: Binomial

Continuous distribution: Normal

Joint distribution [4]

Bivariate distribution

Independence of random variables

Covariance and correlation