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Math for AI Beginner Part 2 : Vector Calulus · LearnSpace
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Math for AI Beginner Part 2 : Vector Calulus

Курс от Korea Advanced Institute of Science and Technology(KAIST)
Начальный≈ 9 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

This course is for learning basic AI and related mathematical concepts and techniques needed for formulating and solving problems in engineering using AI. This course selects, introduces and explains AI concept, 4th industrial revolution, machine learning concept,and it's applications using vector calculus. To use vector calculus for AI, this course introduces gradient, divergence and curl of a vector point function and related identities including evaluation of line, surface and volume integrals using Gauss, Stokes and Green’s theorems and their verification with the physical interpretations of common forms of applications of partial differential equations in various disciplines of study for AI and Math beginners. Upon successful completion of the course, students should appreciate mathematics as a useful tool for formulating (modelling) and solving AI related engineering problems and have a basic understanding of some concepts in vector calculus for AI.

Навыки, которые вы освоите

CalculusIntegral CalculusApplied MathematicsAdvanced MathematicsArtificial IntelligenceMachine LearningMathematical ModelingDifferential EquationsArtificial Intelligence and Machine Learning (AI/ML)Mathematics and Mathematical Modeling

Программа курса

7 модулей · 30 учебных материалов

01Week 1 Basic Introduction of Artificial Intelligence5 материалов
1-1 What is Artificial Intelligence?Видео1-2 Why AI comes out recently?Видео1-3 How AI & 4th Industrial Revolution is related?Видео1-4 So why we need to know Math for AI?Видео

Учитесь у экспертов

Yoon Yong Jin

Design Thinking & Global Startup

Math for AI Beginner Part 2 : Vector Calulus
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Обучение на Coursera

≈ 9 ч

7 модулей

Язык: Английский

Субтитры: Венгерский, Узбекский, Казахский

Часть программы вашего университета
Week 1 QuizЗадание
02Week 2 Introduction of Vector Calculus5 материалов
2-1 Review on VectorsВидео2-2 Surfaces in 3D spaceВидео2-3 Straight lines and curves in 3D spaceВидео2-4 Differentiation of vector functions of one variableВидеоWeek 2 QuizЗадание
03Week 3 Vector Function and Gradient5 материалов
3-1 Motion of the Point Mass in 3D spaceВидео3-2 Vector function of spaceВидео3-3 The nabla operator and GradientВидео3-4 Calculating rate of change of function f(x,y,z)ВидеоWeek 3 QuizЗадание
04Week 4 Applications of Gradient/Div/Laplacian/Curl5 материалов
4-1 Gradient and Normal Vectors to curves & surfacesВидео4-2 Divergence and Curl with Laplacian OperatorВидео4-3 Review of Integral for Vector CalculusВидео4-4 Line Integral and Work done by forcesВидеоWeek 4 QuizЗадание
05Week 5 Integral Vector Calculus: Green Theorem & Surface Integral5 материалов
5-1 Integration over a simple closed curveВидео5-2 Double Integral in Cartesian and Polar CoordinationВидео5-3 Green TheoremВидео5-4 Introduction of Surface IntegralВидеоWeek 5 QuizЗадание
06Week 6 Flux/Gauss Theorem/Stoke Theorem4 материалов
6-1 Example of Surface Integral & Flux across a surfaceВидео6-2 Gauss(Divergence) TheoremВидео6-3 Stoke Theorem & Conservative force field and path-independent line integrals in 3DВидеоWeek 6 QuizЗадание
07Final Exam1 материалов

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Final ExamЗадание