The Hong Kong University of Science and Technology
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.

Jeffrey R. Chasnov

Instructor: Jeffrey R. Chasnov

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4.9

(823 reviews)

Beginner level

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3 months
at 10 hours a week
Flexible schedule
Learn at your own pace
Get in-depth knowledge of a subject
4.9

(823 reviews)

Beginner level

Recommended experience

3 months
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.

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Taught in English

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Specialization - 5 course series

Matrix Algebra for Engineers

Course 119 hours4.9 (4,486 ratings)

What you'll learn

  • Matrices

  • Systems of Linear Equations

  • Vector Spaces

  • Eigenvalues and eigenvectors

Skills you'll gain

Category: Linear Algebra
Category: Engineering Calculations
Category: Engineering Analysis
Category: Applied Mathematics
Category: Computational Logic
Category: General Mathematics
Category: Advanced Mathematics
Category: Arithmetic
Category: Algebra

Differential Equations for Engineers

Course 226 hours4.9 (2,134 ratings)

What you'll learn

  • First-order differential equations

  • Second-order differential equations

  • The Laplace transform and series solution methods

  • Systems of differential equations and partial differential equations

Skills you'll gain

Category: Differential Equations
Category: Applied Mathematics
Category: Linear Algebra
Category: Mathematical Modeling
Category: Engineering Calculations
Category: Algebra
Category: Calculus
Category: Engineering Analysis
Category: Advanced Mathematics
Category: Numerical Analysis

Vector Calculus for Engineers

Course 330 hours4.8 (1,357 ratings)

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: Integral Calculus
Category: Applied Mathematics
Category: Calculus
Category: Geometry
Category: Derivatives
Category: Mechanical Engineering
Category: Physics
Category: Engineering
Category: Advanced Mathematics
Category: Electrical Engineering

Numerical Methods for Engineers

Course 441 hours4.9 (359 ratings)

What you'll learn

  • MATLAB and Scientific Computing

  • Root Finding and Numerical Matrix Algebra

  • Quadrature and Interpolation

  • Numerical Solution of Ordinary and Partial Differential Equations

Skills you'll gain

Category: Numerical Analysis
Category: Matlab
Category: Differential Equations
Category: Linear Algebra
Category: Engineering Calculations
Category: Scientific Visualization
Category: Programming Principles
Category: Engineering Analysis
Category: Computational Thinking
Category: Debugging
Category: Algorithms
Category: Integral Calculus
Category: Simulations
Category: Mathematical Modeling

Mathematics for Engineers: The Capstone Course

Course 59 hours4.9 (29 ratings)

What you'll learn

  • Computational Fluid Dynamics

  • Scientific Computing

Skills you'll gain

Category: Matlab
Category: Numerical Analysis
Category: Differential Equations
Category: Applied Mathematics
Category: Mathematical Modeling
Category: Engineering Calculations
Category: Finite Element Methods
Category: Civil Engineering
Category: Mathematical Theory & Analysis
Category: Simulation and Simulation Software
Category: Engineering Analysis
Category: Advanced Mathematics
Category: Scientific Visualization
Category: Computational Thinking
Category: Mechanical Engineering

Instructor

Jeffrey R. Chasnov

Top Instructor

The Hong Kong University of Science and Technology
16 Courses221,893 learners

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