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Course Introduction
《 Computational Mathematics》 

Computational mathematics is the study of algorithms use to solve mathematical problems. In this course, we introduce numerical methods for solving systems of linear equations and nonlinear equations. Approximation theory including polynomial interpolation, numerical differentiation and numerical integration will also be covered. Numerical errors arisen from various approximations in some of the above mentioned topics will be analyzed. Moreover, roundoff errors from computations under floating point arithmetic will be discussed. Finally, students will learn methods for solving ordinary differential equations numerically and understand the stability/consistency of the numerical methods they use.
