《麻省理工开放课程：单变量微积分》(Single Variable Calculus)共39课更新完毕[MP4]

用户共享的电驴资源列表
[单变量微积分：导数，斜率，速度与变化率].Lecture.01.Derivatives.slope.velocity.rate.of.change.mp4	112.02 MB
[单变量微积分：极限，连续和三角函数].Lecture.02.Limits.continuity.Trigonometric.limits.mp4	114.95 MB
[单变量微积分：导数，商数，正弦和余弦].Lecture.03.Derivatives.of.products.quotients.sine.cosine.mp4	108.54 MB
[单变量微积分：链式法则和高阶微分].Lecture.04.Chain.rule.Higher.derivatives.mp4	100.44 MB
[单变量微积分：隐函数微分]Lecture.05.Implicit.differentiation,.inverses.mp4	106.81 MB
[单变量微积分：指数,log,对数微分;双曲函数].Lecture.06.Exponential.and.log.Logarithmic.differentiation;.hyperbolic.functions.mp4	104.43 MB
[单变量微积分：扩展和复习].Lecture.07.Continuation.and.Review.mp4	111.06 MB
[单变量微积分：线性二次逼近].Lecture.09.Linear.and.quadratic.approximations.mp4	101.40 MB
[单变量微积分：曲线构图].Lecture.10.Curve.sketching.mp4	112.33 MB
[单变量微积分：极值问题].Lecture.11.Max-min.problems.mp4	108.94 MB
[单变量微积分：相关变率].Lecture.12.Related.rates.mp4	108.27 MB
[单变量微积分：牛顿迭代法及应用].Lecture.13.Newton's.method.and.other.applications.mp4	116.05 MB
[单变量微积分：微分中值定理与不等式].Lecture.14.Mean.value.theorem;.Inequalities.mp4	108.13 MB
[单变量微积分：微分,不定积分].Lecture.15.Differentials,.antiderivatives.mp4	106.38 MB
[单变量微积分：微分方程和分离变量].Lecture.16.Differential.equations,.separation.of.variables.mp4	98.85 MB
[单变量微积分：定积分].Lecture.18.Definite.integrals.mp4	102.69 MB
[单变量微积分：微积分基本定理].Lecture.19.First.fundamental.theorem.of.calculus.mp4	104.77 MB
[单变量微积分：第二基本定理].Lecture.20.Second.fundamental.theorem.mp4	107.74 MB
[单变量微积分：对数和几何应用].Lecture.21.Applications.to.logarithms.and.geometry.mp4	109.46 MB
[单变量微积分：壳层体积与平均值].Lecture.22.Volumes.by.disks.and.shells.mp4	108.59 MB
[单变量微积分：工作，平均值，概率].Lecture.23.Work,.average.value,.probability.mp4	105.69 MB
[单变量微积分：数值积分].Lecture.24.Numerical.integration.mp4	109.81 MB
[单变量微积分：考试3复习].Lecture.25.Exam.3.review.mp4	107.47 MB
[单变量微积分：三角代换].Lecture.27.Trigonometric.integrals.and.substitution.mp4	101.72 MB
[单变量微积分：返向代换积分].Lecture.28.Integration.by.inverse.substitution;.completing.the.square.use.mp4	105.43 MB
[单变量微积分：部份分式].Lecture.29.Partial.fractions.mp4	105.70 MB
[单变量微积分：部份积分;削减公式].Lecture.30.Integration.by.parts,.reduction.formulae.mp4	111.78 MB
[单变量微积分：参数方程,弧长,表面积].Lecture.31.Parametric.equations,.arclength,.surface.area.mp4	98.74 MB
[单变量微积分：极坐标，在极区的坐标].Lecture.32.Polar.coordinates;.area.in.polar.coordinates.mp4	107.34 MB
[单变量微积分：考试4复习].Lecture.33.Exam.4.review.mp4	106.92 MB
[单变量微积分：不定形式.-洛必达法则].Lecture.35.Indeterminate.forms.-.L'Hôspital's.rule.mp4	105.90 MB
[单变量微积分：反常积分].Lecture.36.Improper.integrals.mp4	107.71 MB
[单变量微积分：无穷级数的收敛性测验].Lecture.37.Infinite.series.and.convergence.tests.mp4	109.18 MB
[单变量微积分：泰勒级数].Lecture.38.Taylor's.series.mp4	103.42 MB
[单变量微积分：期末复习].Lecture.39.Final.review.mp4	85.37 MB
全选	3.64 GB

简介:


课程介绍：
本微积分课程内容包括介绍单变量函数的分化，整合与应用。
网友评论：
--教授也忘了三角函数和差化积公式,上课很风趣.
--不是忘了，我相信他，也许是授课的艺术，故做不知让学生回忆。
--喜欢美国的教学方式~
导师介绍


David Jerison received the A.B. from Harvard in 1975, and the Ph.D. from Princeton in 1980 under the direction of Elias Stein. Following an NSF postdoctoral fellowship at the University of Chicago, Professor Jerison joined the MIT mathematics faculty in 1981. His research is focussed on PDEs and Fourier analysis. He served as Chair of the Undergraduate Mathematics Committee, 1988-91, Chair of the Pure Mathematics Committee, 2002-04, and co-Chair of the Graduate Student Committee 2007-09. He is currently Chair of the Pure Mathematics Committee and directs SPUR, the mathematics department's summer undergraduate research program as well as the mathematics component of RSI (Research Science Institute) a summer science and engineering research program for high school students. A prior Sloan research fellow and Presidential Young Investigator, Professor Jerison was elected Fellow of the American Academy of Arts Sciences in 1999. In 2004, he was selected for a Margaret MacVicar Faculty Fellowship for a ten-year period.
截图：


注：
1.我会把麻省所有的微积分课程发出来，大约200个视频，有需要的同学请关注。
2.课件：http://ocw.mit.edu/courses/mathematics/18-...e-notes/，因为官网速度下载较快，这里暂不提供。
3.2003秋季课程：单变量微积分汉化网页，仅供参考，因为我发的是06年的，内容不一样：http://www.myoops.org/cocw/mit/Mathematics...ndex.htm