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中级

完成时间大约为31 小时

建议:8 weeks of study...

英语(English)

字幕:英语(English)

100% 在线

立即开始,按照自己的计划学习。

可灵活调整截止日期

根据您的日程表重置截止日期。

中级

完成时间大约为31 小时

建议:8 weeks of study...

英语(English)

字幕:英语(English)

学习Course的学生是

  • Economists
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  • Financial Advisors
  • Data Scientists
  • Data Analysts

教学大纲 - 您将从这门课程中学到什么

1
完成时间为 4 小时

The basics of the set theory. Functions in Rn

11 个视频 (总计 116 分钟), 1 个测验
11 个视频
Promo1分钟
1.1. Definitions and examples of sets14分钟
1.2. Operations on sets9分钟
1.3. Open balls in Rn9分钟
1.4. Sequences in Rn. Closed sets.10分钟
1.5. Bounded and compact sets10分钟
1.6. Functions and level curves in Rn16分钟
1.7. Domain and limit of a function. Continuous functions.13分钟
1.8. Continuity of a function. Weierstrass theorem.13分钟
1.9. Composite function.12分钟
1.10. Continuity of a composite function3分钟
2
完成时间为 5 小时

Differentiation. Gradient. Hessian.

13 个视频 (总计 115 分钟), 2 个测验
13 个视频
2.2. Example of differentiation. Cobb-Douglas function.9分钟
2.3. Tangent plane.7分钟
2.4. Total differential.7分钟
2.5. Chain rule for multivariate functions.8分钟
2.6. Gradient of the function.9分钟
2.7. Economic applications of the gradient.9分钟
2.8. Equation of a circumference. Smooth curves.13分钟
2.9. Chain rule for differentiation.10分钟
2.10. Linear approximation. Example of tangent plane for particular function.10分钟
2.11. Second-order derivatives.10分钟
2.12. Young's Theorem.5分钟
2.13. Hessian matrix.5分钟
1 个练习
Limits. Derivatives. Continuity1小时
3
完成时间为 4 小时

Implicit Function Theorems and their applications.

12 个视频 (总计 93 分钟), 1 个测验
12 个视频
3.2. Implicit Function Theorem.5分钟
3.3. Applications of the Implicit Function Theorem (part 1).10分钟
3.4. Applications of the Implicit Function Theorem (part 2).7分钟
3.5. Gradient is perpendicular to a level curve of a function.11分钟
3.6. Implicit function theorem for the function of many variables.6分钟
3.7. Example of application of the IFT for the function of many variables.8分钟
3.8. Implicit Function Theorem for the system of implicit functions. Jacobian matrix.10分钟
3.9. Example of application IFT for the system of implicit functions (part 1).8分钟
3.10. Example of application IFT for the system of implicit functions (part 2).7分钟
3.11. Example of application in microeconomics.6分钟
3.12. Cramer's rule.2分钟
4
完成时间为 5 小时

Unconstrained and constrained optimization.

15 个视频 (总计 112 分钟), 2 个测验
15 个视频
4.2. Global max. Local max. Saddle point.9分钟
4.3. Unconstrained optimization.9分钟
4.4. Critical point. Taylor's formula.12分钟
4.5. Quadratic forms. Positive definiteness. Negative definiteness.7分钟
4.6. Sylvester's criterion (part 1).7分钟
4.7. Sylvester's criterion (part 2).5分钟
4.8. Examples of Hessians (part 1).7分钟
4.9. Example of Hessians (part 2).4分钟
4.10. Sufficient condition for a critical point to be a local maximum, a local minimum and neither of both.7分钟
4.11. Examples of finding and classification of critical points (part 1).6分钟
4.12. Examples of finding and classification of critical points (part 2).4分钟
4.13. Constrained optimization.9分钟
4.14. Lagrangian.5分钟
4.15. Example of constrained optimization problem.4分钟
1 个练习
Partial derivatives and unconstrained optimization.1小时
4.6
4 个审阅Chevron Right

来自Mathematics for economists的热门评论

创建者 MISep 1st 2019

The Best Course for Economists and Mathematicians and Coursera is an excellent platform for learners.

讲师

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Kirill Bukin

Associate Professor, Candidate of sciences (phys.-math.)
Faculty of Economic Sciences, Department of Theoretical Economics

关于 国立高等经济大学

National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communicamathematics, engineering, and more. Learn more on www.hse.ru...

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