描述
向量场、参数曲线与曲面、线积分与格林定理、曲面积分、斯托克斯定理与散度定理。实数公理,上确界与下确界,完备性。n 维欧几里得空间的拓扑。序列、子序列、紧性。
先修课程
- 先修课:MATH 2001 成绩为 C- 或以上;或经学院许可。
条件与方式
- 与 BIT 2005(不再开设)、MATH 2000(不再开设)、MATH 2004、MATH 2008 和 MATH 3009 不得同时计学分。
- 先修课:MATH 2001 成绩为 C- 或以上;或经学院许可。
- 每周三小时讲课,每周一小时三十分钟辅导。
原文参考文本
Vector fields, parametric curves and surfaces, line integrals and Green's theorem, surface integrals, Stokes' theorem and divergence theorem. Real number axioms, limit superior and inferior, completeness. Topology of n-dimensional Euclidean space. Sequences, subsequences, compactness.
- Prerequisite(s): MATH 2001 with a grade of C- or higher; or permission of the School.
- Precludes additional credit for Precludes additional credit for BIT 2005 (no longer offered), MATH 2000 (no longer offered), MATH 2004 , MATH 2008 , and MATH 3009 .
- Lectures three hours a week, tutorial one and a half hours a week.
来源与参考
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来源参考 : https://calendar.carleton.ca/undergrad/courses/MATH/