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描述
向量微积分与微分几何 向量场、向量代数、向量微积分；梯度、旋度与散度。极坐标、柱坐标与球坐标。格林、斯托克斯与散度定理。曲面微分几何入门。专题可能包括微分形式、外微分、框架、Gauss-Bonnet 定理。讲座，每周3小时；实验/辅导，每周1小时。先修课程：MATH 1P11或MATH 1P12；MATH 2P03。注：本课程可能通过多种授课方式开设。授课方式将在学期相关的学术时间表中列出。
先修课程
- 先修课程：MATH 1P11或MATH 1P12；MATH 2P03。
条件与方式
- 先修课程：MATH 1P11或MATH 1P12；MATH 2P03。
- 注：本课程可能以多种授课方式开设。授课方式将在适用学期的学术课程表中列出。
原文参考文本
Vector Calculus and Differential Geometry Vector fields, vector algebra, vector calculus; gradient, curl and divergence. Polar, cylindrical and spherical coordinates. Green's, Stokes' and divergence theorems. Introduction to differential geometry of surfaces. Topics may include differential forms, exterior calculus, frames, Gauss-Bonnet theorem. Lectures, 3 hours per week; lab/tutorial, 1 hour per week. Prerequisite(s): MATH 1P11 or MATH 1P12 ; MATH 2P03 . Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.
- Prerequisite(s): MATH 1P11 or MATH 1P12 ; MATH 2P03 .
- Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.
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来源参考 : https://brocku.ca/webcal/2024/undergrad/math.html