Numerical Methods for Engineers (The Hong Kong University of Science and Technology)

This free-to-audit course is created specifically for engineering students learning MATLAB to solve mathematical equations. Numerical Methods for Engineers presents the MATLAB fundamentals of scientific computing that every engineer should be familiar with. You'll learn about root finding strategies, matrix algebra, integration and interpolation, ordinary and partial differential equations, and how to solve them with MATLAB. To take this course, you must be familiar with the fundamentals of matrix algebra, differential equations, and vector calculus, as well as have studied a programming language earlier. Students enrolled in the course will receive a complimentary MATLAB Online license for the duration of the course.

The course starts with the principles of scientific computing, such as how numbers are represented on a computer, and then dives deep into building basic numerical programs in MATLAB. Then, when you can't find an analytical solution, you'll learn about root-finding algorithms. You'll learn how to analyze performance using standard methods and how to utilize MATLAB to locate roots and solve the ODE boundary value problem. Following that, you'll study numerical matrix algebra to solve a system of linear equations and do operation counts to determine an algorithm's speed. You'll also learn how to compute eigenvalues and eigenvectors, as well as how to solve a system of nonlinear equations, which will come in handy for solving PDEs.

Finally, in the sixth and last week, you will solve partial differential equations. You'll use your matrix algebra expertise to solve huge systems of linear equations before moving on to iterative approaches and basic theoretical theories regarding stability. This course is 6 weeks long with 42 hours worth of material. You’ll learn from a combination of short lectures, practice problems, and practice programs. For paying learners, you’ll wrap up each week with a graded quiz and a programming project to test your understanding of the material.

Fun Facts

• The course has 690 bookmarks and 21 reviews on Class Central.
• This course is #3 in Class Central’s MATLAB topic.
• Jeffrey R. Chasnov is a Professor of Mathematics at the Hong Kong University of Science and Technology, who has authored numerous research articles in fluid turbulence and mathematical biology.

Institution: The Hong Kong University of Science and Technology
Provider: Coursera
Instructor: Jeffrey R. Chasnov
Level: Beginner
Workload: 42 hours total
Enrollments: 11K
Google Rating: 4.9 / 5.0
Certificate: Paid

Enroll here: coursera.org/learn/numerical-methods-engineers