描述
曲线与曲面。极坐标、柱坐标与球坐标。偏导数、梯度、极值与拉格朗日乘子法。全微分。矩形与一般区域上的重积分。表面积分。线积分。向量微分算子。格林定理、斯托克斯定理、散度定理。应用。
先修课程
- 先修课程：BIT 1200 。
条件与方式
- 不计学分（Precludes additional credit for Precludes additional credit for MATH 2004 .）。
- 先修课程：BIT 1200 。
- 每周三小时讲座，每周一小时辅导。
原文参考文本
Curves and surfaces. Polar, cylindrical and spherical coordinates. Partial derivatives, gradients, extrema and Lagrange multipliers. Exact differentials. Multiple integrals over rectangular and general regions. Integrals over surfaces. Line integrals. Vector differential operators. Green’s Theorem, Stokes’ theorem, Divergence Theorem. Applications.
- Prerequisite(s): BIT 1200 .
- Precludes additional credit for Precludes additional credit for MATH 2004 .
- Lectures three hours a week, tutorial one hour a week.
来源与参考
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来源参考 : https://calendar.carleton.ca/undergrad/courses/BIT/