source: UCIrvineOCW 上次更新日期：2015年1月26日
UCI Math 2B: Single-Variable Calculus (Fall 2013)
View the complete course: http://ocw.uci.edu/courses/math_2b_ca...
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.
UC Irvine OpenCourseWare 0:22
Lecture 01. Course Introduction & Antiderivative. 46:44
Lecture 03. Definite Integral. 54:25
Lecture 04. The Fundamental Theorem of Calculus. 47:26
Lecture 05. Indefinite Integral & The Net Change Theorem. 44:43
Lecture 06. The Substitution Rule. 47:39
Lecture 07. Areas Between Curves. 52:26
Lecture 08. Calculating The Volume of Solids. 55:13
Lecture 09. Mid-Term Review 48:25
Lecture 10. Integration by Parts 46:51
Lecture 11. Trigonometric Integrals 44:54
Lecture 12. Trigonometric Substitution 49:04
Lecture 13. Integration by Partial Fractions 50:06
Lecture 14. Strategy for Integration 51:35
Lecture 15. Indeterminate Forms and L'Hospital Rule 48:36
Lecture 16. Improper Integrals 50:22
Lecture 17. Arc Length, Review Integration Techniques 49:37
Lecture 18. Mid-Term II Review 46:08
Lecture 19. Sequences 49:28
Lecture 20. Series 47:30
Lecture 21. Integral Test and Estimates of Sums 48:28
Lecture 22. The Comparison Test 49:13
Lecture 23. The Comparison Test/ Alternating Series Test, Part II. 46:19
Lecture 24. Strategies for Testing Series 50:31
Lecture 25. Power Series 50:36
Lecture 26. Representing Functions as Power Series 49:45
Lecture 27. Taylor Series and Maclaurin Series 48:11
Lecture 28. Final Review 49:46
