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. 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!
Mathematics for Engineers Specialization
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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
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28,081 already enrolled
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Beginner level
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3 months at 10 hours a week
Flexible schedule
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Get in-depth knowledge of a subject
4.9
(921 reviews)
Beginner level
Recommended experience
3 months at 10 hours a week
Flexible schedule
Earn a career credential
Share your expertise with employers
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.
Overview
Skills you'll gain
- Engineering Calculations
- Mathematical Modeling
- Engineering Analysis
- Calculus
- Engineering
- Numerical Analysis
- Geometry
- Mechanical Engineering
- Differential Equations
- Integral Calculus
- Algebra
- Computational Thinking
- Finite Element Methods
- Simulation and Simulation Software
- Linear Algebra
- Advanced Mathematics
- Applied Mathematics
- Estimation
Tools you'll learn
What’s included
Shareable certificate
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Taught in English
71 practice exercises
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
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
Category: Linear Algebra
Category: Algebra
Category: Engineering Calculations
Category: Engineering Analysis
Category: General Mathematics
Category: Advanced Mathematics
Category: Applied Mathematics
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
Category: Differential Equations
Category: Linear Algebra
Category: Integral Calculus
Category: Numerical Analysis
Category: Mathematical Modeling
Category: Derivatives
Category: Calculus
Category: Advanced Mathematics
Category: Electrical Engineering
Category: Engineering Analysis
Category: Vibrations
Category: Applied Mathematics
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
Category: Applied Mathematics
Category: Integral Calculus
Category: Calculus
Category: Derivatives
Category: Advanced Mathematics
Category: Geometry
Category: Engineering
Category: Engineering Analysis
Category: Engineering Calculations
Category: Physics
Category: Mechanical Engineering
Category: Electrical Engineering
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
Category: Numerical Analysis
Category: Matlab
Category: Differential Equations
Category: Linear Algebra
Category: Scientific Visualization
Category: Engineering Analysis
Category: Scripting
Category: Computational Thinking
Category: Estimation
Category: Mathematical Software
Category: Engineering Calculations
Category: Plot (Graphics)
Category: Integral Calculus
Category: Programming Principles
Category: Calculus
Category: Simulation and Simulation Software
Category: Simulations
Category: Applied Mathematics
Category: Mathematical Modeling
Category: Algorithms
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
Category: Differential Equations
Category: Matlab
Category: Applied Mathematics
Category: Engineering Analysis
Category: Mathematical Modeling
Category: Numerical Analysis
Category: Scientific Visualization
Category: Finite Element Methods
Category: Mechanical Engineering
Category: Calculus
Category: Simulation and Simulation Software
Category: Plot (Graphics)
Category: Advanced Mathematics
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Instructor
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The Hong Kong University of Science and Technology
17 Courses236,622 learners
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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.
More questions
Financial aid available,