CALCULUS Ⅱ
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课程概述

Calculus II is an important compulsory basic theory course for engineering and economic management undergraduates in Colleges and universities, which belongs to the basic mathematics course. It is the necessary foundation of most science and engineering courses. This course is the first key basic course for undergraduate students after enrollment. It plays an important role in establishing scientific thinking method, learning mathematical modeling ability, training scientific, rigorous and assiduous learning attitude.

授课目标

This course covers infinite series, vector and multi-variable calculus. It is the second semester in the BJTU freshman calculus sequence. Topics include

(1) Power series.

(2) Vectors, Partial derivatives and its Application, Double and Triple Integrals.

(3) Vector Calculus in 2- and 3-space, The three major theorems (Green's, Stokes', Gauss').

(4) Second order linear differential equations.

课程大纲
预备知识
  1. Calculus I

  2. Linear Algebra

参考资料

1. James Stewart, Calculus,  7th Edition.

2. Calculus, 10th Edition, George B. Thomas, Ross L. Finney, Maurice D. Weir, Joel Hass, Frank R. Giordano. Pearson Addison-Wesley, 2005.