课程

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SPOC学校专有课程
高等数学(英)(Calculus)
第2次开课
开课时间: 2022年01月18日 ~ 2022年07月03日
学时安排: 每周4课时
当前开课已结束 已有 17 人参加
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—— 课程团队
课程概述

Calculus is designed to serve students majoring in Chemecal Science and Environmental Science and Engineering. The contents include: Vectors and the geometry of space; Partial derivatives; Multiple integrals; Infinite sequences and seriers; Differential equations.  Through the study of this course, students can master the most basic knowledge of multivariate calculus, and lay the necessary mathematical foundation for learning the following courses.

成绩 要求

 Midterm     20%

 Final Exam  50%

  Homework  30%

课程大纲
Vectors and the geometry of space
1.1 Three-Dimensional Coordinate systems
1.2 Vectors and vector algebra
1.3 The planes and Lines in Space
1.4 Equations for a surface
1.5 Equations for a curve
Partial derivatives
2.1 Fundamental concepts, limits and continuity
2.2 Partial derivatives
2.3 The chain rule
2.4 Total Differential
2.5 Directional Derivatives and Gradients
2.6 Applications of patial derivatives- Geometric Application
2.7 Extreme Values of Function of two or three variables
Multiple integrals
3.1 Double integrals
3.2 Triple integrals
3.3 Line integrals
3.4 Green's Theorem
3.5 Surface integrals
Infinite sequences and series
4.1 Numerical Series
4.2 Functional Series
4.3 Taylor Series
Differential equations
5.1 Modeling with Differential Equations
5.2 Separable Equations
5.3 Linear Equations
5.4 Second-order Linear Equations
展开全部
天津大学
2 位授课老师
张玉琴

张玉琴

副教授

潘宇

潘宇

讲师

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