Course Information
About:
Numerical methods are techniques to approximate mathematical procedures (example of a mathematical procedure is an integral). Approximations are needed because we either cannot solve the procedure analytically (example is the standard normal cumulative distribution function) or because the analytical method is intractable (example is solving a set of a thousand simultaneous linear equations for a thousand unknowns).
Goals:
By end of this course, you will be able to use approximate methods for a few mathematical procedures.
Objectives:
In this Part 1 of 2 course, you will learn the numerical methods for the following mathematical procedures and topics - Differentiation, Nonlinear Equations, Simultaneous Linear Equations. Calculation of errors and their relationship to the accuracy of the numerical solutions is emphasized throughout the course, and is discussed in the introductory chapter.
Who should take this course
College Juniors in STEM (Science, Technology, Engineering and Mathematics) fields
Pre-requisites
Differential Calculus, Integral Calculus, Ordinary Differential Equations, High School Algebra
Materials Included:
Textbook Chapters, Video Lectures, Solutions to Quizzes, Online Quizzes
Cost to Participant
None except your time
How Long to Complete:
For each week, about 2.5 hours of lectures need to be watched and estimated time to read textbook and do quizzes is 5 hours. It is a 8-week long course.
Course Structure:
For each section, you have video lectures, followed by a textbook chapter, a quiz and solutions to quizzes, and online quizzes.
Have questions:
I am here to help. The assignments are automatically graded and I will answer any questions at the help forum. I will be the sole person to teach and moderate this self-paced course. If you have questions related to Canvas please see the Canvas Guides Links to an external site. first.
License
Licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.