微積分(二)
Calculus II
| 節 | 週二 |
|---|---|
3 10:10–11:00 | 微積分(二) YX406（陽明） 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Course introduction Applications of integrals: area, average 2020/03/03 |
| 第 2 週 | Applications of integrals: volume Improper integrals - The comparison test 2020/03/10 |
| 第 3 週 | Review of differential equations Solving autonomous differential equations: separation of variable Solving nonautonomous differential equations: separation of variable 2020/03/17 |
| 第 4 週 | Quiz 1 Analysis of autonomous differential equations: equilibria Stability theorem for autonomous differential equations Biological examples for autonomous differential equations - Exponential population growth - Logistic population growth 2020/03/24 |
| 第 5 週 | Systems of autonomous differential equations Predator-prey model Euler’s method to systems of autonomous differential equations Equilibria of systems of autonomous differential equations Phase plane Nullclines 2020/03/31 |
| 第 6 週 | Phase plane trajectory Direction arrows The dynamics of competition between two species 2020/04/07 |
| 第 7 週 | Quiz 2 Limits and continuity of multivariable functions Partial derivatives Double integrals over rectangles Double integral in polar coordinates 2020/04/14 |
| 第 8 週 | Midterm exam 2020/04/21 |
| 第 9 週 | Deterministic vs. stochastic Sample space and events Set theory Classical definition of probability Axioms of probability 2020/04/28 |
| 第 10 週 | Conditional probability - Special cases for conditional probability The law of total probability Bayes’ theorem 2020/05/05 |
| 第 11 週 | Independence Random variables Probability mass function (pmf) Cumulative distribution function (cdf) 2020/05/12 |
| 第 12 週 | Quiz 3 Expectations of discrete random variables Variances of discrete random variables Bernoulli random variable 2020/05/19 |
| 第 13 週 | Binomial random variable Geometric random variable 2020/05/26 |
| 第 14 週 | Poisson random variable Continuous random variable Probability density function (pdf) Cumulative distribution function (cdf) 2020/06/02 |
| 第 15 週 | Quiz 4 Probability density function of a function of a random variable Expectations of continuous random variables Variances of continuous random variables 2020/06/09 |
| 第 16 週 | Uniform random variable Exponential random variable 2020/06/16 |
| 第 17 週 | Normal (Gaussian) random variable 2020/06/23 |
| 第 18 週 | Final exam 2020/06/30 |
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