What is this course and why is it important?

<text variant="body1">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.

Who is this course for?

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.

What will I be able to do after completing this course?

<text variant="body1">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.

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.

When will I have access to the lectures and assignments?

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.

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

本课程是 Mathematics for Engineering 专项课程的一部分

位教师：BITS Pilani Instructors Group

39,664 人已注册

包含在中

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6个模块

深入了解一个主题并学习基础知识。

185 条评论

初级等级

推荐体验

灵活的计划

2 周在 10 小时一周

自行安排学习进度

89%

大多数学生喜欢此课程

6个模块

深入了解一个主题并学习基础知识。

185 条评论

初级等级

推荐体验

灵活的计划

2 周在 10 小时一周

自行安排学习进度

89%

大多数学生喜欢此课程

您将学到什么

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.

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要了解的详细信息

可分享的证书

添加到您的领英档案

作业

22 项作业

授课语言：英语（English）

91% of learners achieved a positive career outcome

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Petrobras, TATA, Danone, Capgemini, P&G 和 L'Oreal 的徽标

积累特定领域的专业知识

本课程是 Mathematics for Engineering 专项课程专项课程的一部分

在注册此课程时，您还会同时注册此专项课程。

向行业专家学习新概念
获得对主题或工具的基础理解
通过实践项目培养工作相关技能
获得可共享的职业证书

该课程共有6个模块

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.

单元详情

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

涵盖的内容

11个视频3篇阅读材料4个作业

11个视频总计64分钟

Basic Mathematics2分钟
Real & complex number system4分钟
Argand Plane5分钟
Complex conjugate8分钟
Algebra of complex numbers9分钟
Algebra of complex numbers - Examples7分钟
Types of equations7分钟
Roots of a quadratic equation by factorization8分钟
Roots of a quadratic equation by the formula4分钟
Roots of a quadratic equation - Examples5分钟
Quadratic equation & roots5分钟

3篇阅读材料总计25分钟

Course Overview & Information10分钟
Recommended Reading: Complex Numbers & Quadratic Equations5分钟
Summary: Complex Numbers & Quadratic Equations10分钟

4个作业总计90分钟

Check Your Understanding: Complex Numbers15分钟
Check Your Understanding: Quadratic Equations15分钟
Copy of Check Your Understanding: Quadratic Equations30分钟
Test Yourself: Complex Numbers & Quadratic Equations30分钟

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

涵盖的内容

12个视频4篇阅读材料5个作业

12个视频总计94分钟

Definition of a matrix6分钟
Types of matrices11分钟
Algebraic operations on matrices9分钟
Algebra of matrices – Examples10分钟
Inverse of a matrix by ad joint method9分钟
Inverse of a matrix – Example 16分钟
System of equations - Introduction9分钟
System of equations – Matrix form7分钟
Solution of system of equations5分钟
Solution of system of equations - Examples5分钟
Rank of a matrix10分钟
Rank of a matrix - Examples6分钟

4篇阅读材料总计25分钟

Recommended Reading: Matrices5分钟
Recommended Reading: Inverse of a Matrix & System of Equations5分钟
Recommended Reading: Rank of a matrix and its properties5分钟
Summary: Matrices10分钟

5个作业总计78分钟

Check Your Understanding: Algebra of Matrices15分钟
Check Your Understanding: Inverse of a Matrix9分钟
Check Your Understanding: System of Equations15分钟
Check Your Understanding: Rank of a matrix9分钟
Test Yourself: Matrices30分钟

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

涵盖的内容

8个视频3篇阅读材料3个作业

8个视频总计38分钟

Basics of Trigonometry4分钟
Trigonometric Relations8分钟
Basics of Trigonometry: Examples3分钟
Trigonometric Identities5分钟
Trigonometric Identities - Example 14分钟
Trigonometric Identities - Example 26分钟
Applications of Trigonometry - 13分钟
Applications of Trigonometry - 25分钟

3篇阅读材料总计20分钟

Recommended Reading: Trigonometry5分钟
Recommended Reading: Applications of Trigonometry5分钟
Summary: Trigonometry10分钟

3个作业总计57分钟

Check Your Understanding: Trigonometry15分钟
Check Your Understanding: Applications of Trigonometry12分钟
Test Yourself: Trigonometry30分钟

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

涵盖的内容

17个视频2篇阅读材料4个作业

17个视频总计151分钟

Functions6分钟
Types of functions11分钟
Definition of Limit8分钟
Standard form, standard limits11分钟
Indeterminate forms9分钟
Limits - Examples10分钟
Continuity Definition10分钟
Continuity - Examples9分钟
Differentiability6分钟
Derivative of standard functions9分钟
Derivative of standard functions - Example6分钟
Derivatives - Properties8分钟
Mean Value Theorem9分钟
Applications of Derivatives - Examples9分钟
Applications of Derivatives - Maximum and Minimum of a Function9分钟
Applications of Derivatives – First Derivative Test11分钟
Applications of Derivatives – Second Derivative Test11分钟

2篇阅读材料总计15分钟

Recommended Reading: Relations and Functions, Limits and Derivatives, Continuity and Differentiability5分钟
Summary: Differential Calculus and its Applications10分钟

4个作业总计75分钟

Check Your Understanding: Limits and Continuity15分钟
Check Your Understanding: Differentiation15分钟
Check Your Understanding: Applications of Derivatives15分钟
Test Yourself: Differential Calculus and its Applications30分钟

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

涵盖的内容

8个视频1篇阅读材料3个作业

8个视频总计64分钟

Integral of a function7分钟
Properties5分钟
Methods of Integration - 19分钟
Methods of Integration - 27分钟
Product Rule8分钟
Definite integrals12分钟
Applications of Integration – Examples8分钟
Applications of Integration - Examples8分钟

1篇阅读材料总计10分钟

Summary: Integral Calculus and its Applications10分钟

3个作业总计57分钟

Check Your Understanding: Integration15分钟
Check Your Understanding: Applications of Integration12分钟
Test Yourself: Integral Calculus and its Applications30分钟

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

涵盖的内容

7个视频2篇阅读材料3个作业

7个视频总计62分钟

Types of Differential Equations6分钟
Order and Degree of a Differential Equation6分钟
First Order and First Degree Differential Equations – Variables Separable8分钟
Homogeneous Differential Equations10分钟
Non-homogeneous Differential Equations9分钟
Exact and Non–exact Differential Equation14分钟
First Order Linear Differential Equations9分钟

2篇阅读材料总计20分钟

Summary: Ordinary Differential Equations10分钟
Course Summary10分钟

3个作业总计57分钟

Check Your Understanding: Types of Differential Equations12分钟
Check Your Understanding: First Order and First Degree Differential Equations15分钟
Test Yourself: Ordinary Differential Equations30分钟