This course provides the basic principles of solving differential equations using numerical methods to solve various mechanical engineering problems. Students will practice how to implement the mathematical principles into the user-friendly computer code, i.e., Matlab, to numerically solve differential equations. Prerequisite: students must possess basic math skills in algebra and calculus and elementary understandings of Newton’s second law and physical properties such as temperature, pressure, displacement, velocity, and acceleration before enrolling this course.
Upon successful completion of this course, students will be able to:
- Identify first and second order differential equations in mechanical engineering systems.
- Introduce principles of solving differential equations.
- Practice the implantations of mathematical principles into the user-friendly computer code.
- Quantify the numerical error in the obtained numerical solutions.
- Critically evaluate obtained mathematical solutions to analyze and design mechanical engineering systems.
Successful completion of this badge is awarded 0.5 online hours of credit. Workload for completion is based on the expectation that students will spend a minimum of 7.5 hours in instruction over the length of the badge and an additional 15 hours on preparation, readings, studying, writing, research and other assignments as determined by the badge instructor. Activities will involve working online, participating in asynchronous activities, and other offline work.
Grading Scale: Badge/No Badge
Evaluation: 100% completion of badge criteria