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理论演算18.014 Calculus with Theory I |
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| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theor... |
| 主讲教师: | Christine Breiner |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 信息不详。欢迎您在右侧留言补充。 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | 18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus. Topics: Axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary functions. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor, Natasha Bershadsky, and Alex Retakh for their help with this course web site. |
| 关 键 词: | 微积分与理论; 无穷级数; 幂级数; 泰勒定理 |
| 课程来源: | 麻省理工大学公开课 |
| 最后编审: | 2016-03-17：cmh |
| 阅读次数: | 40 |