必修

本課程將延續初等微積分的進度，內容為介紹不定積分、定積分、積分法則、瑕積分、積分應用、偏導數、重積分及無窮級數等。

1.使學生學習過程中與高中(職)數學銜接.
2.使學生了解微積分的基本概念.
3.使其所學應用到專業方面.

1. 不定積分
2. 定積分
3. 瑕積分
4. 積分的應用
5. 積分法則
6. 偏導數
7. 重積分

1. The Indefinite Integral.
2. The Definite Integral (Integration by Substitution)
3. Improper Integrals
4. Applications of Integration (Area Between Curves, Business and Economics, Continuous Random Variables, Expected Value, Normal and Poisson Probability Distributions)
5. Techniques of Integration ( Integration by Parts, Numerical Integration)
6. Partial Derivatives (Optimizing Functions of Two Variables, Least-Squares, Lagrange Multipliers)
7. Multiple Integrals