How long does it take to complete this Course?

<text variant="body1">The course consists of 6 modules that can be completed in approximately 6 weeks, with 3-5 hours of study per week. However, you can progress at your own pace.

What background knowledge is necessary?

<text variant="body1">Basic algebra, arithmetic operations, and high school level mathematics are recommended. Familiarity with functions and coordinate geometry will be helpful but not required.

What topics are covered in this course?

The course covers complex numbers, quadratic equations, trigonometry, matrices, differential calculus, integral calculus, and ordinary differential equations.

What is the learning experience of this course?

The learning experience combines video lectures, reading materials, practice assignments, and comprehensive assessments. Each module builds on previous knowledge and provides ample opportunity for practice and application.

How is this course different from other mathematics courses?

This course is specifically designed for engineering applications, focusing on practical problem-solving rather than purely theoretical mathematics. All concepts are presented with relevant examples and applications to demonstrate their real-world utility.

What will I get if I subscribe to this Specialization?

When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.

Is financial aid available?

Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

Basic Engineering Mathematics

Ce cours n'est pas disponible en Français (France)

Nous sommes actuellement en train de le traduire dans plus de langues.

Basic Engineering Mathematics

Ce cours fait partie de Spécialisation "Mathematics for Engineering"

Instructeur : BITS Pilani Instructors Group

37 687 déjà inscrits

Inclus avec

6 modules

Obtenez un aperçu d'un sujet et apprenez les principes fondamentaux.

182 avis

niveau Débutant

Expérience recommandée

Planning flexible

2 semaines à 10 heures une semaine

Apprenez à votre propre rythme

90%

La plupart des étudiants ont apprécié ce cours

6 modules

Obtenez un aperçu d'un sujet et apprenez les principes fondamentaux.

182 avis

niveau Débutant

Expérience recommandée

Planning flexible

2 semaines à 10 heures une semaine

Apprenez à votre propre rythme

90%

La plupart des étudiants ont apprécié ce cours

Ce que vous apprendrez

Integrate trigonometric concepts to analyse and solve complex real-world engineering problems.
Critically evaluate and solve intricate systems of linear equations using matrix operations.
Synthesise the principles of differentiation and integration to develop and optimise engineering models.
Formulate and solve first-order and first-degree differential equations to effectively model a variety of engineering processes.

Compétences que vous acquerrez

Catégorie : Engineering Calculations
Catégorie : Differential Equations
Catégorie : Mathematical Modeling
Catégorie : Linear Algebra
Catégorie : Applied Mathematics
Catégorie : Engineering Analysis
Catégorie : Trigonometry
Catégorie : Calculus
Catégorie : Mathematical Theory & Analysis
Catégorie : Algebra

Détails à connaître

Certificat partageable

Ajouter à votre profil LinkedIn

Évaluations

22 devoirs

Enseigné en Anglais

Découvrez comment les employés des entreprises prestigieuses maîtrisent des compétences recherchées

En savoir plus sur Coursera pour les affaires

logos de Petrobras, TATA, Danone, Capgemini, P&G et L'Oreal

Élaborez votre expertise du sujet

Ce cours fait partie de la Spécialisation "Mathematics for Engineering"

Lorsque vous vous inscrivez à ce cours, vous êtes également inscrit(e) à cette Spécialisation.

Apprenez de nouveaux concepts auprès d'experts du secteur
Acquérez une compréhension de base d'un sujet ou d'un outil
Développez des compétences professionnelles avec des projets pratiques
Obtenez un certificat professionnel partageable

Il y a 6 modules dans ce cours

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.

Explore real and complex number systems, operations in the Argand plane, and techniques for solving quadratic equations using factorization and formula methods.

Inclus

11 vidéos3 lectures4 devoirs

11 vidéos Total 64 minutes

Basic Mathematics 2 minutes
Real & complex number system 4 minutes
Argand Plane 5 minutes
Complex conjugate 8 minutes
Algebra of complex numbers 9 minutes
Algebra of complex numbers - Examples 7 minutes
Types of equations 7 minutes
Roots of a quadratic equation by factorization 8 minutes
Roots of a quadratic equation by the formula 4 minutes
Roots of a quadratic equation - Examples 5 minutes
Quadratic equation & roots 5 minutes

3 lectures Total 25 minutes

Course Overview & Information 10 minutes
Recommended Reading: Complex Numbers & Quadratic Equations 5 minutes
Summary: Complex Numbers & Quadratic Equations 10 minutes

4 devoirs Total 90 minutes

Test Yourself: Complex Numbers & Quadratic Equations 30 minutes
Check Your Understanding: Complex Numbers 15 minutes
Check Your Understanding: Quadratic Equations 15 minutes
Copy of Check Your Understanding: Quadratic Equations 30 minutes

Master matrix operations, types, inverse calculations, solving systems of equations, and determining matrix rank for engineering applications.

Inclus

12 vidéos4 lectures5 devoirs

12 vidéos Total 94 minutes

Definition of a matrix 6 minutes
Types of matrices 11 minutes
Algebraic operations on matrices 9 minutes
Algebra of matrices – Examples 10 minutes
Inverse of a matrix by ad joint method 9 minutes
Inverse of a matrix – Example 1 6 minutes
System of equations - Introduction 9 minutes
System of equations – Matrix form 7 minutes
Solution of system of equations 5 minutes
Solution of system of equations - Examples 5 minutes
Rank of a matrix 10 minutes
Rank of a matrix - Examples 6 minutes

4 lectures Total 25 minutes

Recommended Reading: Matrices 5 minutes
Recommended Reading: Inverse of a Matrix & System of Equations 5 minutes
Recommended Reading: Rank of a matrix and its properties 5 minutes
Summary: Matrices 10 minutes

5 devoirs Total 78 minutes

Test Yourself: Matrices 30 minutes
Check Your Understanding: Algebra of Matrices 15 minutes
Check Your Understanding: Inverse of a Matrix 9 minutes
Check Your Understanding: System of Equations 15 minutes
Check Your Understanding: Rank of a matrix 9 minutes

Develop proficiency in trigonometric relationships, identities, and practical applications in engineering problems.

Inclus

8 vidéos3 lectures3 devoirs

8 vidéos Total 38 minutes

Basics of Trigonometry 4 minutes
Trigonometric Relations 8 minutes
Basics of Trigonometry: Examples 3 minutes
Trigonometric Identities 5 minutes
Trigonometric Identities - Example 1 4 minutes
Trigonometric Identities - Example 2 6 minutes
Applications of Trigonometry - 1 3 minutes
Applications of Trigonometry - 2 5 minutes

3 lectures Total 20 minutes

Recommended Reading: Trigonometry 5 minutes
Recommended Reading: Applications of Trigonometry 5 minutes
Summary: Trigonometry 10 minutes

3 devoirs Total 57 minutes

Test Yourself: Trigonometry 30 minutes
Check Your Understanding: Trigonometry 15 minutes
Check Your Understanding: Applications of Trigonometry 12 minutes

Learn about functions, limits, continuity, differentiation techniques, and applications including optimization and the mean value theorem.

Inclus

17 vidéos2 lectures4 devoirs

17 vidéos Total 151 minutes

Functions 6 minutes
Types of functions 11 minutes
Definition of Limit 8 minutes
Standard form, standard limits 11 minutes
Indeterminate forms 9 minutes
Limits - Examples 10 minutes
Continuity Definition 10 minutes
Continuity - Examples 9 minutes
Differentiability 6 minutes
Derivative of standard functions 9 minutes
Derivative of standard functions - Example 6 minutes
Derivatives - Properties 8 minutes
Mean Value Theorem 9 minutes
Applications of Derivatives - Examples 9 minutes
Applications of Derivatives - Maximum and Minimum of a Function 9 minutes
Applications of Derivatives – First Derivative Test 11 minutes
Applications of Derivatives – Second Derivative Test 11 minutes

2 lectures Total 15 minutes

Recommended Reading: Relations and Functions, Limits and Derivatives, Continuity and Differentiability 5 minutes
Summary: Differential Calculus and its Applications 10 minutes

4 devoirs Total 75 minutes

Test Yourself: Differential Calculus and its Applications 30 minutes
Check Your Understanding: Limits and Continuity 15 minutes
Check Your Understanding: Differentiation 15 minutes
Check Your Understanding: Applications of Derivatives 15 minutes

Study integration methods, standard functions, properties, product rule, and applications to engineering problems.

Inclus

8 vidéos1 lecture3 devoirs

8 vidéos Total 64 minutes

Integral of a function 7 minutes
Properties 5 minutes
Methods of Integration - 1 9 minutes
Methods of Integration - 2 7 minutes
Product Rule 8 minutes
Definite integrals 12 minutes
Applications of Integration – Examples 8 minutes
Applications of Integration - Examples 8 minutes

1 lecture Total 10 minutes

Summary: Integral Calculus and its Applications 10 minutes

3 devoirs Total 57 minutes

Test Yourself: Integral Calculus and its Applications 30 minutes
Check Your Understanding: Integration 15 minutes
Check Your Understanding: Applications of Integration 12 minutes

Understand differential equation types, order, degree, and solution methods for first-order equations including variable separable, homogeneous, and linear forms.

Inclus

7 vidéos2 lectures3 devoirs

7 vidéos Total 62 minutes

Types of Differential Equations 6 minutes
Order and Degree of a Differential Equation 6 minutes
First Order and First Degree Differential Equations – Variables Separable 8 minutes
Homogeneous Differential Equations 10 minutes
Non-homogeneous Differential Equations 9 minutes
Exact and Non–exact Differential Equation 14 minutes
First Order Linear Differential Equations 9 minutes

2 lectures Total 20 minutes

Summary: Ordinary Differential Equations 10 minutes
Course Summary 10 minutes

3 devoirs Total 57 minutes

Test Yourself: Ordinary Differential Equations 30 minutes
Check Your Understanding: Types of Differential Equations 12 minutes
Check Your Understanding: First Order and First Degree Differential Equations 15 minutes

Obtenez un certificat professionnel

Ajoutez ce titre à votre profil LinkedIn, à votre curriculum vitae ou à votre CV. Partagez-le sur les médias sociaux et dans votre évaluation des performances.

Préparer un diplôme

Le fait de suivre ce cours proposé par Birla Institute of Technology & Science, Pilani vous donnera un aperçu des enseignants ainsi que des sujets et contenus dans un programme diplômant connexe, ce qui peut vous aider à déterminer si le sujet ou l’université vous convient.

Instructeur

Évaluations de l’enseignant

(60 évaluations)

BITS Pilani Instructors Group

Birla Institute of Technology & Science, Pilani

30 Cours 61 790 apprenants

Offert par

Birla Institute of Technology & Science, Pilani

En savoir plus sur Math and Logic

Birla Institute of Technology & Science, Pilani
Mathematics for Engineering
Spécialisation
The Hong Kong University of Science and Technology
Mathematics for Engineers: The Capstone Course
Cours
Korea Advanced Institute of Science and Technology(KAIST)
Applied Math for Materials Science and Engineering
Cours
The Hong Kong University of Science and Technology
Mathematics for Engineers
Spécialisation

Pour quelles raisons les étudiants sur Coursera nous choisissent-ils pour leur carrière ?

Felipe M.

Étudiant(e) depuis 2018

’Pouvoir suivre des cours à mon rythme à été une expérience extraordinaire. Je peux apprendre chaque fois que mon emploi du temps me le permet et en fonction de mon humeur.’

Jennifer J.

Étudiant(e) depuis 2020

’J'ai directement appliqué les concepts et les compétences que j'ai appris de mes cours à un nouveau projet passionnant au travail.’

Larry W.

Étudiant(e) depuis 2021

’Lorsque j'ai besoin de cours sur des sujets que mon université ne propose pas, Coursera est l'un des meilleurs endroits où se rendre.’

Chaitanya A.

’Apprendre, ce n'est pas seulement s'améliorer dans son travail : c'est bien plus que cela. Coursera me permet d'apprendre sans limites.’

Avis des étudiants

5 stars
73,07 %
4 stars
18,68 %
3 stars
3,29 %
2 stars
1,09 %
1 star
3,84 %

Affichage de 3 sur 182

Révisé le 14 déc. 2023

thank you so much for the Basic mathematics course. very informative contents

Révisé le 23 juil. 2025

The course overall is very good, however I think the last parts (integration and differential equations) could be made much clearer

Révisé le 29 déc. 2024

This is a good refresher for anyone who is starting with or brushing up basic math

Voir plus d’avis

Ouvrez de nouvelles portes avec Coursera Plus

Accès illimité à 10,000+ cours de niveau international, projets pratiques et programmes de certification prêts à l'emploi - tous inclus dans votre abonnement.

Faites progresser votre carrière avec un diplôme en ligne

Obtenez un diplôme auprès d’universités de renommée mondiale - 100 % en ligne

Découvrir les diplômes

Rejoignez plus de 3 400 entreprises mondiales qui ont choisi Coursera pour les affaires

Améliorez les compétences de vos employés pour exceller dans l’économie numérique

Foire Aux Questions

This course covers fundamental mathematics concepts essential for engineering disciplines. It's important because these mathematical tools form the foundation of engineering analysis, modeling, and problem-solving across all engineering fields.

This course is designed for engineering students, technical professionals seeking to refresh their skills, and anyone needing a solid foundation in engineering mathematics for academic or professional advancement.

You'll be able to solve problems involving complex numbers, matrices, trigonometric functions, derivatives, integrals, and differential equations. These skills will enable you to tackle a wide range of engineering problems that require mathematical modeling and analysis.

To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.