MECH 4500 - Advanced Engineering Math

Institution:

Utah Tech University

Subject:

Description:

Students learn to solve a wide range of engineering problems involving ordinary and partial differential equations. Topics include the method of characteristics, separation of variables, Fourier-Legendre series, Fourier-Bessel series, Multi-step methods, numerics for higher-order ODEs, radius of convergence, Newtons divided difference interpolation, Sturm-Liouville theory, numerics for elliptic, parabolic, and hyperbolic PDEs, and Blasius similarity solution for boundary layer flow. **COURSE LEARNING OUTCOMES (CLOs)** At the successful conclusion of this course students will: 1. Derive ordinary and partial differential equations governing problems in engineering. 2. Solve differential equations having analytical solutions. 3. Classify partial differential equations as parabolic, hyperbolic, or elliptic. 4. Discretize and solve partial differential equations using a range of numerical techniques and assess numerical stability. Prerequisites: MECH 2250 (grade C- or higher) OR Instructor Permission. SP

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.utahtech.edu/

Phone Number:

(435) 652-7500

Regional Accreditation:

Northwest Commission on Colleges and Universities

Calendar System:

Semester

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