(1) Round-Off Error, Algorithms and Convergence (2) Solution of Equations in One Variables (3) Interpolation and Polynomial Approximation (4) Numerical Differentiation and Integration (5) Approximation Theory
*(optional)(6) Numerical Solutions of Nonlinear Systems

(1)誤差與收斂分析(2)單變數函數求解：二分法、固定點、牛頓法、誤差分析、Steffensen加速法、多項式求實數與複數根(3)插值與多項式逼近：Lagrange多項式、資料數據近似、均差、Hermite插值、三次樣條插值(4)數值微分與積分：數值微分、外推法、數值積分、Romberg積分、自適應法、高斯積分(5)近似方法：最小平方法、正交多項式。*(optional)(6)非線性系統的數值解：多變數牛頓法、最陡下降法。