К содержимому
learnspaceYOUR NEXT CHAPTER
ПРОСТРАНСТВО ОБУЧЕНИЯ
ГлавнаяКаталог курсовМоё обучениеCoursera

Знания без границ

Учитесь у лучших университетов и компаний мира.

Открыть Coursera
Интеграция
Пространство университета
Моё пространствоСтраница курса
↵
ЯЛичный кабинетСтудент
© 2026 LearnSpaceКаждый день — возможность узнать больше.Помощь
Mathematics for Engineers: The Capstone Course · LearnSpace
Назад в каталог
courseraМатематика

Mathematics for Engineers: The Capstone Course

Курс от The Hong Kong University of Science and Technology
Средний≈ 9.8 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Mathematics for Engineers: The Capstone Course provides a capstone project for students who are completing the Mathematics for Engineers specialization. Students will first learn some basic concepts in computational fluid dynamics, and then apply these concepts to compute the fluid flow around a cylinder. Access to MATLAB online and the MATLAB grader is given to all students who enroll. Before enrolling, students should have already taken courses in matrix algebra, differential equations, vector calculus and numerical methods, and be able to program in MATLAB. The course contains 22 short video lectures and a full set of lecture notes. After each lecture, there are problems to solve, and at the end of the second and third weeks, there is a substantial MATLAB programming assignment. Download the lecture notes from the link https://www.math.hkust.edu.hk/~machas/flow-around-a-cylinder.pdf Watch the promotional video from the link https://youtu.be/FlM1de9Sxh0

Навыки, которые вы освоите

MatlabMathematical ModelingApplied MathematicsEngineering AnalysisDifferential EquationsNumerical AnalysisMathematical SoftwareSimulation and Simulation SoftwareMechanicsCalculusMechanical Engineering

Программа курса

3 модулей · 61 учебных материалов

01Governing Equations28 материалов

Welcome to Mathematics for Engineers: The Capstone Course

Welcome and Course InformationЧтениеCourse OverviewВидеоMATLAB OnlineЧтениеDeep Dive into the Flow Around a CylinderPLUGIN

Introduction to Week One

Учитесь у экспертов

Jeffrey R. Chasnov

Professor

Mathematics for Engineers: The Capstone Course
В каталоге вашей программы

Инвестируйте в себя

Новые знания — в удобное для вас время.

Начать на Coursera

Обучение откроется на Coursera
в новой вкладке

Обучение на Coursera

≈ 9.8 ч

3 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Венгерский, Польский

Часть программы вашего университета
Week One IntroductionВидео

Governing Equations

Navier-Stokes Equations | Lecture 1ВидеоPlane Couette FlowЧтениеChannel FlowЧтениеPipe FlowЧтениеVorticity Equation | Lecture 2ВидеоVector IdentitiesЧтение

Flow Geometry

Geometry of the Flow | Lecture 3ВидеоFlow BoundariesЧтениеTwo-dimensional Flow | Lecture 4ВидеоCurl of the Vorticity-Velocity Cross ProductЧтениеScalar Vorticity in Cartesian CoordinatesЧтениеScalar Vorticity Equation in Cartesian CoordinatesЧтениеStream Function | Lecture 5ВидеоStream Function in Cartesian CoordinatesЧтениеScalar Vorticity in terms of the Stream Function in Cartesian CoordinatesЧтениеStream Function as a Vector PotentialЧтениеStreamlines | Lecture 6ВидеоStreamlines in Cartesian CoordinatesЧтение

Nondimensionalization and Coordinates

Reynolds Number | Lecture 7ВидеоStream Function Equation when Re = 0ЧтениеLog-polar Coordinates | Lecture 8ВидеоSteady Flow EquationsЧтение

Quiz

Week One AssessmentЗадание
02Steady Flows15 материалов

Introduction to Week Two

Week Two Introduction Видео

Iterative Method

Finite Difference Method | Lecture 9ВидеоEven and Odd FunctionsЧтениеIteration Equations | Lecture 10ВидеоSOR EquationsЧтение

Boundary Conditions

Free-stream Boundary Conditions | Lecture 11ВидеоVorticity Free-Stream Boundary ConditionЧтениеCylinder Boundary Conditions | Lecture 12ВидеоTest the Cylinder Boundary ConditionЧтениеSummary of the Boundary Conditions | Lecture 13ВидеоStarting SOR with zero vorticityЧтение

Programming Assignment: Steady Flow at Re = 10

MATLAB Program (Steady) (Part A) | Lecture 14ВидеоMATLAB Program (Steady) (Part B) | Lecture 15ВидеоSteady Flow at Re = 10Внешний инструментReference solution to "Steady Flow at Re = 10"Чтение
03Unsteady Flows18 материалов

Introduction to Week Three

Week Three Introduction Видео

Difference Equations

Periodic Boundary Conditions | Lecture 16ВидеоGhost PointsЧтениеFinite Difference Equations | Lecture 17ВидеоVorticity Finite Difference EquationЧтениеStream Function Computation | Lecture 18ВидеоMATLAB Coding of Right-Hand SideЧтениеStream Function Boundary Conditions | Lecture 19ВидеоThree-by-Three GridЧтениеVorticity Computation | Lecture 20ВидеоComputational TimeЧтение

Programming Assignment: Unsteady Flow at Re = 60

MATLAB Program (Unsteady) (Part A) | Lecture 21ВидеоMATLAB Program (Unsteady) (Part B) | Lecture 22ВидеоUnsteady Flow at Re = 60Внешний инструментReference Solution to "Unsteady Flow at Re = 60"Чтение

Farewell

Concluding RemarksВидеоPlease Rate this CourseЧтениеAcknowledgementsЧтение