MATH 412 Numerical Methods

Numerical techniques for problems such as interpolation, numerical differentiation and integration, differential equations, zeros of functions, solutions of linear systems, and error analysis.

For information regarding prerequisites for this course, please refer to the Academic Course Catalog.

The course addresses how to use computers to solve problems involving nonlinear equations, linear systems, curve fitting and interpolation, derivatives, integrals, differential equations, etc. For example, scientists and engineers are often challenged by solving a system of hundreds and thousands of linear equations in many fields, including artificial intelligence, data science, mechanical engineering, etc. Without computers and some knowledge of numerical methods, solving such a system is simply an impossible job.

Textbook readings and lecture presentations

No details available.

Course Requirements Checklist

After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in the Course Overview.

Written Homework Assignments (8)

The student will complete handwritten homework assignments and submit them as a PDF in Canvas each week.

Project Assignments (3)

Each project will be done in a programming language of the student’s choice, though Lua + Mathly and MATLAB are the easiest and best ones.

Quizzes: Written Exams (4)

The student will complete quizzes: written exams in the assigned modules. Each written exam will allow 1 attempt, be open-book/open-notes, cover 2 modules of material, and have a 2-hour time limit. All written exams will be handwritten and submitted in Canvas.