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⇱ Basic Engineering Mathematics | Coursera


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Basic Engineering Mathematics

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Gain insight into a topic and learn the fundamentals.
4.6

186 reviews

Beginner level

Recommended experience

Flexible schedule
2 weeks at 10 hours a week
Learn at your own pace
90%
Most learners liked this course

Gain insight into a topic and learn the fundamentals.
4.6

186 reviews

Beginner level

Recommended experience

Flexible schedule
2 weeks at 10 hours a week
Learn at your own pace
90%
Most learners liked this course

What you'll learn

  • 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.

Details to know

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Assessments

22 assignments

Taught in English

Build your subject-matter expertise

This course is part of the Mathematics for Engineering Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
  • Learn new concepts from industry experts
  • Gain a foundational understanding of a subject or tool
  • Develop job-relevant skills with hands-on projects
  • Earn a shareable career certificate

There are 6 modules in this course

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 calculusβ€”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

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

What's included

11 videos3 readings4 assignments

11 videosβ€’Total 64 minutes
  • Basic Mathematicsβ€’2 minutes
  • Real & complex number systemβ€’4 minutes
  • Argand Planeβ€’5 minutes
  • Complex conjugateβ€’8 minutes
  • Algebra of complex numbersβ€’9 minutes
  • Algebra of complex numbers - Examplesβ€’7 minutes
  • Types of equationsβ€’7 minutes
  • Roots of a quadratic equation by factorizationβ€’8 minutes
  • Roots of a quadratic equation by the formulaβ€’4 minutes
  • Roots of a quadratic equation - Examplesβ€’5 minutes
  • Quadratic equation & rootsβ€’5 minutes
3 readingsβ€’Total 25 minutes
  • Course Overview & Informationβ€’10 minutes
  • Recommended Reading: Complex Numbers & Quadratic Equationsβ€’5 minutes
  • Summary: Complex Numbers & Quadratic Equationsβ€’10 minutes
4 assignmentsβ€’Total 90 minutes
  • Test Yourself: Complex Numbers & Quadratic Equationsβ€’30 minutes
  • Check Your Understanding: Complex Numbersβ€’15 minutes
  • Check Your Understanding: Quadratic Equationsβ€’15 minutes
  • Copy of Check Your Understanding: Quadratic Equationsβ€’30 minutes

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

What's included

12 videos4 readings5 assignments

12 videosβ€’Total 94 minutes
  • Definition of a matrixβ€’6 minutes
  • Types of matricesβ€’11 minutes
  • Algebraic operations on matricesβ€’9 minutes
  • Algebra of matrices – Examplesβ€’10 minutes
  • Inverse of a matrix by ad joint methodβ€’9 minutes
  • Inverse of a matrix – Example 1β€’6 minutes
  • System of equations - Introductionβ€’9 minutes
  • System of equations – Matrix formβ€’7 minutes
  • Solution of system of equationsβ€’5 minutes
  • Solution of system of equations - Examplesβ€’5 minutes
  • Rank of a matrixβ€’10 minutes
  • Rank of a matrix - Examplesβ€’6 minutes
4 readingsβ€’Total 25 minutes
  • Recommended Reading: Matricesβ€’5 minutes
  • Recommended Reading: Inverse of a Matrix & System of Equationsβ€’5 minutes
  • Recommended Reading: Rank of a matrix and its propertiesβ€’5 minutes
  • Summary: Matricesβ€’10 minutes
5 assignmentsβ€’Total 78 minutes
  • Test Yourself: Matricesβ€’30 minutes
  • Check Your Understanding: Algebra of Matricesβ€’15 minutes
  • Check Your Understanding: Inverse of a Matrixβ€’9 minutes
  • Check Your Understanding: System of Equationsβ€’15 minutes
  • Check Your Understanding: Rank of a matrixβ€’9 minutes

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

What's included

8 videos3 readings3 assignments

8 videosβ€’Total 38 minutes
  • Basics of Trigonometryβ€’4 minutes
  • Trigonometric Relationsβ€’8 minutes
  • Basics of Trigonometry: Examplesβ€’3 minutes
  • Trigonometric Identitiesβ€’5 minutes
  • Trigonometric Identities - Example 1β€’4 minutes
  • Trigonometric Identities - Example 2β€’6 minutes
  • Applications of Trigonometry - 1β€’3 minutes
  • Applications of Trigonometry - 2β€’5 minutes
3 readingsβ€’Total 20 minutes
  • Recommended Reading: Trigonometryβ€’5 minutes
  • Recommended Reading: Applications of Trigonometryβ€’5 minutes
  • Summary: Trigonometryβ€’10 minutes
3 assignmentsβ€’Total 57 minutes
  • Test Yourself: Trigonometryβ€’30 minutes
  • Check Your Understanding: Trigonometryβ€’15 minutes
  • Check Your Understanding: Applications of Trigonometryβ€’12 minutes

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

What's included

17 videos2 readings4 assignments

17 videosβ€’Total 151 minutes
  • Functionsβ€’6 minutes
  • Types of functionsβ€’11 minutes
  • Definition of Limitβ€’8 minutes
  • Standard form, standard limitsβ€’11 minutes
  • Indeterminate formsβ€’9 minutes
  • Limits - Examplesβ€’10 minutes
  • Continuity Definitionβ€’10 minutes
  • Continuity - Examplesβ€’9 minutes
  • Differentiabilityβ€’6 minutes
  • Derivative of standard functionsβ€’9 minutes
  • Derivative of standard functions - Exampleβ€’6 minutes
  • Derivatives - Propertiesβ€’8 minutes
  • Mean Value Theoremβ€’9 minutes
  • Applications of Derivatives - Examplesβ€’9 minutes
  • Applications of Derivatives - Maximum and Minimum of a Functionβ€’9 minutes
  • Applications of Derivatives – First Derivative Testβ€’11 minutes
  • Applications of Derivatives – Second Derivative Testβ€’11 minutes
2 readingsβ€’Total 15 minutes
  • Recommended Reading: Relations and Functions, Limits and Derivatives, Continuity and Differentiabilityβ€’5 minutes
  • Summary: Differential Calculus and its Applicationsβ€’10 minutes
4 assignmentsβ€’Total 75 minutes
  • Test Yourself: Differential Calculus and its Applicationsβ€’30 minutes
  • Check Your Understanding: Limits and Continuityβ€’15 minutes
  • Check Your Understanding: Differentiationβ€’15 minutes
  • Check Your Understanding: Applications of Derivativesβ€’15 minutes

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

What's included

8 videos1 reading3 assignments

8 videosβ€’Total 64 minutes
  • Integral of a functionβ€’7 minutes
  • Propertiesβ€’5 minutes
  • Methods of Integration - 1β€’9 minutes
  • Methods of Integration - 2β€’7 minutes
  • Product Ruleβ€’8 minutes
  • Definite integralsβ€’12 minutes
  • Applications of Integration – Examplesβ€’8 minutes
  • Applications of Integration - Examplesβ€’8 minutes
1 readingβ€’Total 10 minutes
  • Summary: Integral Calculus and its Applicationsβ€’10 minutes
3 assignmentsβ€’Total 57 minutes
  • Test Yourself: Integral Calculus and its Applicationsβ€’30 minutes
  • Check Your Understanding: Integrationβ€’15 minutes
  • Check Your Understanding: Applications of Integrationβ€’12 minutes

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

What's included

7 videos2 readings3 assignments

7 videosβ€’Total 62 minutes
  • Types of Differential Equationsβ€’6 minutes
  • Order and Degree of a Differential Equationβ€’6 minutes
  • First Order and First Degree Differential Equations – Variables Separableβ€’8 minutes
  • Homogeneous Differential Equationsβ€’10 minutes
  • Non-homogeneous Differential Equationsβ€’9 minutes
  • Exact and Non–exact Differential Equationβ€’14 minutes
  • First Order Linear Differential Equationsβ€’9 minutes
2 readingsβ€’Total 20 minutes
  • Summary: Ordinary Differential Equationsβ€’10 minutes
  • Course Summaryβ€’10 minutes
3 assignmentsβ€’Total 57 minutes
  • Test Yourself: Ordinary Differential Equationsβ€’30 minutes
  • Check Your Understanding: Types of Differential Equationsβ€’12 minutes
  • Check Your Understanding: First Order and First Degree Differential Equationsβ€’15 minutes

Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV. Share it on social media and in your performance review.

Prepare for a degree

Taking this course by Birla Institute of Technology & Science, Pilani may provide you with a preview of the topics, materials and instructors in a related degree program which can help you decide if the topic or university is right for you.

Instructor

Instructor ratings
4.5 (61 ratings)
Birla Institute of Technology & Science, Pilani
43 Coursesβ€’77,388 learners

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Showing 3 of 186

EA
Β·

Reviewed on Jul 23, 2025

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

UR
Β·

Reviewed on Apr 8, 2025

a very good course for basic mathematics by BITS Pilani institute

AV
Β·

Reviewed on Dec 29, 2024

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

Frequently asked 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.

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.

Basic algebra, arithmetic operations, and high school level mathematics are recommended. Familiarity with functions and coordinate geometry will be helpful but not required.

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

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.

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.

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.

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.

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.

Financial aid available,