Learning Objectives
After completing this pre-class module, you should be able to:
1) Enumerate reasons for the need for numerical methods.
2) Give examples for the above reasons from real-life as well as previous courses
3) Go through the stages (mathematical modeling, solving and implementation) of solving a particular physical problem
Videos
Title: Why Do We Need Numerical Methods
Summary: This video is an introduction to why we need numerical methods.
Learning Objectives: After watching this video, you will be able to enumerate and justify the need for numerical methods.
Transcript: Read the transcript
Slides without Annotation: View slides without annotations
Title: Steps of Solving Engineering Problems
Summary: This video teaches you the steps of solving an engineering problem- define the problem, model the problem, solve, and implementation of the solution.
Learning Objectives: After watching this video, you will learn how an engineering problem is modeled and solved. It is expected that you will be able to take the four steps to set up an engineering problem of your choice.
Transcript: Read the transcript
Annotated Slides: View slides with annotations
Title: Overview of Mathematical Processes Covered in This Course
Summary: This lecture shows you four mathematical procedures that need numerical methods – namely, nonlinear equations, differentiation, simultaneous linear equations, and interpolation.
Learning Objectives: After watching this lecture, you will find out through examples why we need to use numerical methods.
Transcript: Read the transcript
Slides With Annotation: View slides with annotations
Title: A Brief Review of Significant Digits with Examples
Summary: Learn how to count the number of significant digits in a number given in decimal (fixed point) and scientific (floating point) format.
Learning Objectives: After watching this lecture, you will be able to identify the number of significant digits in a decimal or scientific format number.
Slides with Annotation: View slides with annotations