source: UCIrvineOCW 上次更新日期:2015年1月26日
UCI Math 2A: Single-Variable Calculus (Fall 2013)
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Description: UCI Math 2A is the first quarter in Single-Variable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.
UC Irvine OpenCourseWare 0:22
Lecture 01. Functions. 51:03
Lecture 02. Functions and Transformations. 46:30
Lecture 03. Functions and Slopes. 48:29
Lecture 04. Inverse Functions. 50:23
Lecture 05. Tangents, Slopes, and Limits. 51:27
Lecture 06. Calculating Limits. 48:21
Lecture 07. Continuity. 47:28
Lecture 08. Intermediate Value Theorem, Limits of Infinity. 44:23
Lecture 09. Derivatives. 42:06
Lecture 10. Derivatives, Part II. 43:44
Lecture 11. Midterm Review. 46:46
Lecture 12. Calculating Derivatives. 51:52
Lecture 13. Trigonometric Derivatives. 50:20
Lecture 14. Chain Rule. 41:35
Lecture 15. Implicit Differentiation. 46:17
Lecture 16. Section 3.6 52:16
Lecture 17. Exponential Growth. 47:29
Lecture 18. Related Rates. 46:48
Lecture 19. Compound Interest. 43:20
Lecture 20. Max/Min 45:19
Lecture 21. Mean Value Theorem. 46:49
Lecture 22. 49:00
Lecture 23. L'Hospital's Rule 45:56
Lecture 24. Curve Sketching. 52:12
Lecture 25. Optimization. 44:13
Lecture 26. Antiderivatives. 42:08
Lecture 27: Final Exam Review 45:59