MA341-005 Applied Differential Equations I

Office Hours:   M W: 10:30-11:20 AM,  through the Zoom or in person           

E-mail:  zhilin@ncsu.edu

Text Book:  Fundamentals of Differential Equations and Boundary Value Problems, by Nagle, Saff, and Snider, 7th Edition, Addison-Wesley. Available in digital form through Moodle & the library.

Prerequisite:   MA 242 or (MA 132 and MA 231). 

Suggested review materials:

• Differentiation
• Chain rule, derivative of composite functions, partial derivatives
  
• Total differentiation
  
• Integration
• Integration by parts
• Integration of combination of trig functions, polynomials, exponential and log functions and their products.
• Complex number system
• Polynomials and roots, trigonometric identities, differentiation  and integration
  
• Linear algebra: matrices, vectors, eigenvalues and eigen-vectors.

Grading: 

• Homework: 20% including some class practice.  Homework will be done using WebWork which is accessible from Moodle.    
• Two tests: 50 %
• Final Exam: 30 %
• Up to 5% extra credits for group works (3-4 in a group), and active class participation
  
• Class format:  in-person. Excessive absences (>=5) will lead to one grade level downgrade.
  

Materials:

1.1-1.3, 2.2-2.4, 2.5; 4.4-4.5, 4.7, 4.9-4.10, 6.1-6.3, 7.2-7.6, 7.9, 9.1-9.7, 5.3-5.4, 12.2-12.3
See materials for more details

Online Resources:

• ODE solvers:   https://onsolver.com/diff-equation.php             https://onsolver.com/system-equations.php

• Plot of directional fields:   https://www.desmos.com/calculator/p7vd3cdmei        https://aeb019.hosted.uark.edu/dfield.html/

• Integration/differentiation:  https://www.integral-calculator.com/                           https://www.derivative-calculator.net/

• Laplace transform and inverse Laplace transforms:  https://byjus.com/laplace-transform-calculator/

• Matrix Eigenvalues Calculator & More:     https://www.symbolab.com/solver/matrix-eigenvalues-calculator/eigenvalues
  

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H: Holiday  L: Last day of instruction; W: Wellness Day, Final: 4/25: 3:30 P.M. – 6:00 PM