Numerical methods are routinely used in all disciplines of science and engineering, which serve as the approximate solutions to real-time problems. This course will cover the formulation/mathematics behind the contemporary numerical methods, which later will be applied to solving the example real world problems. The emphasis of the course will be more on the deep understanding of these numerical methods, with homework geared towards application and analysis of this. Midterm and final exam will be geared towards testing your understanding of advantages/limitations of numerical methods.