23MAT205 / Probability, Statistics and Numerical Methods(CIVIL)

Probability, Statistics and Numerical Methods is a core course designed to build a strong mathematical foundation for analyzing uncertainty, interpreting data, and solving complex problems using computational techniques. The probability component introduces the fundamental concepts of randomness, events, and probability laws, along with random variables and standard probability distributions, enabling students to model and predict uncertain phenomena. The statistics portion focuses on methods for collecting, organizing, analyzing, and interpreting data, including descriptive measures, sampling techniques, estimation, and hypothesis testing, which support informed decision-making. The numerical methods section emphasizes the development and application of algorithmic approaches to obtain approximate solutions for mathematical problems that cannot be solved analytically, such as solving nonlinear equations, performing interpolation, numerical integration, and handling systems of linear equations. Overall, this course equips students with essential analytical, computational, and problem-solving skills that are widely applicable in engineering, science, data analysis, and research domains.