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Basic Engineering Mathematics · LearnSpace
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Basic Engineering Mathematics

Курс от Birla Institute of Technology & Science, Pilani
Начальный≈ 17.5 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Master the fundamental mathematical principles critical for engineering success with our Comprehensive Engineering Mathematics course. This structured program builds your proficiency in complex numbers, matrices, trigonometry, and calculus—the essential mathematical toolkit for any engineer. Through practical examples and real-world applications, you'll develop the analytical skills necessary to solve engineering problems across various disciplines. The course progresses logically from algebraic concepts to advanced calculus techniques, ensuring a solid foundation for further engineering studies. By completion, you'll confidently apply these mathematical tools to model, analyze, and solve engineering challenges in your professional work or academic pursuits. Skills Covered - Complex Number Operations and Applications - Matrix Algebra and System Solutions - Trigonometric Function Analysis - Differential Calculus Techniques - Integral Calculus Applications - Differential Equation Modeling - Mathematical Problem-Solving for Engineering

Навыки, которые вы освоите

Integral CalculusLinear AlgebraDifferential EquationsCalculusAlgebraTrigonometryAdvanced MathematicsEngineering AnalysisApplied MathematicsDerivativesMathematical Theory & AnalysisMathematical ModelingEngineering

Программа курса

6 модулей · 103 учебных материалов

01Complex Numbers & Quadratic Equations19 материалов

Course Introduction

Basic MathematicsВидеоCourse Overview & InformationЧтение

Complex Numbers

Real & complex number systemВидеоArgand PlaneВидео

Учитесь у экспертов

BITS Pilani Instructors Group

Преподаватель курса

Basic Engineering Mathematics
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в новой вкладке

Обучение на Coursera

≈ 17.5 ч

6 модулей

Язык: Английский

Субтитры: Дари, Пушту

Часть программы вашего университета
Complex conjugateВидео
Algebra of complex numbersВидео
Algebra of complex numbers - ExamplesВидео
When Real Solutions Aren't Enough: Complex Numbers in Quadratic EquationsDIALOGUE
Check Your Understanding: Complex NumbersЗадание

Quadratic Equations

Types of equationsВидеоRoots of a quadratic equation by factorizationВидеоRoots of a quadratic equation by the formulaВидеоRoots of a quadratic equation - ExamplesВидеоQuadratic equation & rootsВидеоRecommended Reading: Complex Numbers & Quadratic EquationsЧтениеCheck Your Understanding: Quadratic EquationsЗаданиеCopy of Check Your Understanding: Quadratic EquationsЗадание

Summary and Assignment

Summary: Complex Numbers & Quadratic EquationsЧтениеTest Yourself: Complex Numbers & Quadratic EquationsЗадание
02Matrices22 материалов

Introduction and Algebra of Matrices

Definition of a matrixВидеоTypes of matricesВидеоAlgebraic operations on matricesВидеоAlgebra of matrices – ExamplesВидеоRecommended Reading: MatricesЧтениеCheck Your Understanding: Algebra of MatricesЗадание

Inverse of a Matrix

Inverse of a matrix by ad joint methodВидеоInverse of a matrix – Example 1ВидеоCheck Your Understanding: Inverse of a MatrixЗадание

System of Equations

System of equations - IntroductionВидеоSystem of equations – Matrix formВидеоSolution of system of equationsВидеоSolution of system of equations - ExamplesВидеоRecommended Reading: Inverse of a Matrix & System of EquationsЧтениеCheck Your Understanding: System of EquationsЗадание

Rank of a Matrix

Rank of a matrixВидеоRank of a matrix - ExamplesВидеоRecommended Reading: Rank of a matrix and its propertiesЧтениеCheck Your Understanding: Rank of a matrixЗаданиеMatrix Transformation: From Cofactors to InverseDIALOGUE

Summary and Assignment

Summary: MatricesЧтениеTest Yourself: MatricesЗадание
03Trigonometry15 материалов

Trigonometry

Basics of TrigonometryВидеоTrigonometric RelationsВидеоBasics of Trigonometry: ExamplesВидеоTrigonometric IdentitiesВидеоTrigonometric Identities - Example 1ВидеоTrigonometric Identities - Example 2ВидеоIdentity Detective: Strategic Approaches to Trigonometric ProblemsDIALOGUERecommended Reading: TrigonometryЧтениеCheck Your Understanding: TrigonometryЗадание

Applications of Trigonometry

Applications of Trigonometry - 1ВидеоApplications of Trigonometry - 2ВидеоRecommended Reading: Applications of TrigonometryЧтениеCheck Your Understanding: Applications of TrigonometryЗадание

Summary and Assignment

Summary: TrigonometryЧтениеTest Yourself: TrigonometryЗадание
04Differential Calculus and its Applications23 материалов

Limits and Continuity

FunctionsВидеоTypes of functionsВидеоDefinition of LimitВидеоStandard form, standard limitsВидеоIndeterminate formsВидеоLimits - ExamplesВидеоContinuity DefinitionВидеоContinuity - ExamplesВидеоDifferentiabilityВидеоRecommended Reading: Relations and Functions, Limits and Derivatives, Continuity and DifferentiabilityЧтениеCheck Your Understanding: Limits and ContinuityЗадание

Differentiation

Derivative of standard functionsВидеоDerivative of standard functions - ExampleВидеоDerivatives - PropertiesВидеоMean Value TheoremВидеоCheck Your Understanding: DifferentiationЗадание

Applications of Derivatives

Applications of Derivatives - ExamplesВидеоApplications of Derivatives - Maximum and Minimum of a FunctionВидеоApplications of Derivatives – First Derivative TestВидеоApplications of Derivatives – Second Derivative TestВидеоCheck Your Understanding: Applications of DerivativesЗадание

Summary and Assignment

Summary: Differential Calculus and its ApplicationsЧтениеTest Yourself: Differential Calculus and its ApplicationsЗадание
05Integral Calculus and its Applications12 материалов

Integration

Integral of a functionВидеоPropertiesВидеоMethods of Integration - 1ВидеоMethods of Integration - 2ВидеоProduct RuleВидеоDefinite integralsВидеоCheck Your Understanding: IntegrationЗадание

Applications of Integration

Applications of Integration – ExamplesВидеоApplications of Integration - ExamplesВидеоCheck Your Understanding: Applications of IntegrationЗадание

Summary and Assignment

Summary: Integral Calculus and its ApplicationsЧтениеTest Yourself: Integral Calculus and its ApplicationsЗадание
06Ordinary Differential Equations12 материалов

Types of Differential Equations

Types of Differential EquationsВидеоOrder and Degree of a Differential EquationВидеоCheck Your Understanding: Types of Differential EquationsЗадание

Solution of First Order and First Degree Differential Equations

First Order and First Degree Differential Equations – Variables SeparableВидеоHomogeneous Differential EquationsВидеоNon-homogeneous Differential EquationsВидеоExact and Non–exact Differential EquationВидеоFirst Order Linear Differential EquationsВидеоCheck Your Understanding: First Order and First Degree Differential EquationsЗадание

Summary and Assignment

Summary: Ordinary Differential EquationsЧтениеTest Yourself: Ordinary Differential EquationsЗаданиеCourse SummaryЧтение