This course will introduce some of the fundamental concepts of statistics and statistical methods. One of the goals of this course is to discuss applications of statistical methods to solve real-world problems.
The course is organized into three parts. The first part introduces descriptive statistics, probability, distributions and convergence of random variables. The second part introduces sampling and experiment design. The third part introduces inference and learning from data where it covers topics such as parametric inference, hypothesis testing, statistical learning, regression and classification. The course will have two projects where the first project gives the students a taste of real-world data collection and statistical analysis, and the second project gives experience with statistical learning using real-world datasets. Students will use software to implement and experiment with the concepts taught in the course.