What will I be able to do upon completing the Specialization?

You will have completed most of the math curriculum offered to engineering students at many universities. This should prepare you well for your engineering specific courses.

Is this course really 100% online? Do I need to attend any classes in person?

This course is completely online, so there’s no need to show up to a classroom in person. You can access your lectures, readings and assignments anytime and anywhere via the web or your mobile device.

Can I just enroll in a single course?

Yes! To get started, click the course card that interests you and enroll. You can enroll and complete the course to earn a shareable certificate. When you subscribe to a course that is part of a Specialization, you’re automatically subscribed to the full Specialization. Visit your learner dashboard to track your progress.

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.

Can I take the course for free?

No, you cannot take this course for free. 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. If you cannot afford the fee, you can apply for financial aid.

Mathematics for Engineers Specialization

The Hong Kong University of Science and Technology

Mathematics for Engineers Specialization

Learn the mathematics needed to become an engineer. Study matrix algebra, differential equations, vector calculus, numerical methods and complete a capstone project.

Instructor: Jeffrey R. Chasnov

Top Instructor

Included with Coursera Plus

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5 course series

Get in-depth knowledge of a subject

4.9

(941 reviews)

Beginner level

Recommended experience

3 months to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

5 course series

Get in-depth knowledge of a subject

4.9

(941 reviews)

Beginner level

Recommended experience

3 months to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

What you'll learn

How to work with matrices and understand some fundamental concepts from linear algebra.
How to solve differential equations and apply them to model physical phenomena.
How to extend single variable calculus to three dimensions and differentiate and integrate scalar and vector fields.
How to analyze basic numerical techniques and write scientific computation programs in MATLAB.

Skills you'll gain

Tools you'll learn

Details to know

Shareable certificate

Add to your LinkedIn profile

Taught in English

71 practice exercises

See how employees at top companies are mastering in-demand skills

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logos of Petrobras, TATA, Danone, Capgemini, P&G and L'Oreal

Advance your subject-matter expertise

Learn in-demand skills from university and industry experts
Master a subject or tool with hands-on projects
Develop a deep understanding of key concepts
Earn a career certificate from The Hong Kong University of Science and Technology

Specialization - 5 course series

This specialization was developed for engineering students to self-study engineering mathematics. We expect students to already be familiar with single variable calculus and computer programming. Students who haven't yet taken calculus, should first take my course Calculus for Engineers. Through this specialization, students will learn matrix algebra, differential equations, vector calculus, numerical methods, and MATLAB programming. This will provide them with the tools to effectively apply mathematics to engineering problems and to become well-equipped to pursue a degree in engineering. To get a better understanding of what this specialization has to offer, be sure to watch the Promotional Video!

Applied Learning Project

Learners will write MATLAB programs to solve the computational fluid dynamics problem of the flow around a cylinder. At the end of the "Mathematics for Engineers: The Capstone Course", learners will be able to compute the iconic Kármán vortex street. To see a computation of the Kármán vortex street, you can watch the following video: https://youtu.be/FlM1de9Sxh0.

Matrix Algebra for Engineers

Course 119 hours

What you'll learn

Matrix multiplication, transpose, inverse, orthogonal matrices
Gaussian elimination, reduced row echelon form, LU decomposition
Vector Spaces, linear independence, Gram-Schmidt process, null space, column space, least-squares problem
Determinants, Laplace expansion, Leibniz formula, eigenvalue problem, matrix diagonalization, powers of a matrix

Skills you'll gain

Linear Algebra, Applied Mathematics, Algebra, Engineering Calculations, Advanced Mathematics, Arithmetic, Computational Logic, Engineering Analysis, and General Mathematics

Differential Equations for Engineers

Course 226 hours

What you'll learn

Separable and linear first-order differential equations, and their applications
Homogeneous and inhomogeneous second-order differential equations, and their applications
The Laplace transform and series solution methods
Systems of differential equations and partial differential equations

Skills you'll gain

Differential Equations, Linear Algebra, Applied Mathematics, Integral Calculus, Derivatives, Calculus, Vibrations, Advanced Mathematics, Electrical Engineering, Numerical Analysis, Engineering Analysis, and Mathematical Modeling

Vector Calculus for Engineers

Course 329 hours

What you'll learn

Vectors, the dot product and cross product
The gradient, divergence, curl, and Laplacian
Multivariable integration, polar, cylindrical and spherical coordinates
Line integrals, surface integrals, the gradient theorem, the divergence theorem and Stokes' theorem

Skills you'll gain

Integral Calculus, Applied Mathematics, Calculus, Geometry, Derivatives, Mechanical Engineering, Advanced Mathematics, Engineering, Physics, and Electrical Engineering

Numerical Methods for Engineers

Course 440 hours

What you'll learn

MATLAB and the foundations of scientific computing
Root finding methods such as Newton's method, and numerical linear algebra using the LU decomposition
Integration methods such as adaptive quadrature, and interpolation algorithms using a cubic spline
Numerical methods for solving ODEs, such as Runge-Kutta, and the finite difference method for solving PDEs

Skills you'll gain

Numerical Analysis, Matlab, Differential Equations, Linear Algebra, Scientific Visualization, Applied Mathematics, Mathematical Software, Algorithms, Programming Principles, Plot (Graphics), Engineering Calculations, Engineering Analysis, Computational Thinking, Integral Calculus, Simulations, Scripting, Mathematical Modeling, Calculus, Simulation and Simulation Software, and Estimation

Mathematics for Engineers: The Capstone Course

Course 59 hours

What you'll learn

Fundamentals of computational fluid dynamics
How to construct and solve a numerical method for computing the flow field around an infinite cylinder

Skills you'll gain

Matlab, Numerical Analysis, Mathematical Modeling, Differential Equations, Advanced Mathematics, Mechanical Engineering, Engineering Analysis, Simulation and Simulation Software, Finite Element Methods, Calculus, and Applied Mathematics

Earn a career certificate

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

Instructor

Top Instructor

Jeffrey R. Chasnov

The Hong Kong University of Science and Technology

17 Courses239,782 learners

Offered by

The Hong Kong University of Science and Technology

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Frequently asked questions

The five courses of the specialization are scheduled to complete after twenty-four weeks. Learners that find all the material new may take significantly longer.

Single variable calculus and some computer programming ability.

It is recommended to take the courses in the assigned order.

Mathematics for Engineers Specialization

What you'll learn

Skills you'll gain

Tools you'll learn

Details to know

See how employees at top companies are mastering in-demand skills

Advance your subject-matter expertise