MA 341 - Applied Differential Equations I

Course Schedule

Week Sections Topics
Week 1: Aug 18 1.1-1.2 Solutions & Initial Value Problems
Week 2: Aug 23,25 1.3-1.4,2.1-2.3 Direction fields, Eulers method, Separable equations, First order linear equations
Week 3: Aug 30, Sep 1 2.4,3.2-3.5 Exact equations, Selected Applications
Week 4: Sep 6, 8 4.1-4.3 Linear second order ODEs, Constant coefficients - Real and Complex roots
Week 5: Sep 13, 15 Review and Test #1 Test # 1 (Sep 15)
Week 6: Sep 20, 22 4.4-4.6 Undetermined coefficients, Superposition, Variation of parameters
Week 7: Sep 27, 29 4.8-4.9, 7.1-7.3 Mechanical vibrations, Laplace transforms - Introduction, Properties
Week 8: Oct 4 7.3-7.4 Laplace transforms - Properties, Inverse Transforms, No Class (Oct 6) - FALL BREAK
Week 9: Oct 11,13 7.5-7.6 Solving Initial Value Problems, Discontinuous & Periodic Functions
Week 10: Oct 18,20 7.7, Review and Test # 2 Convolution, Test # 2 (Oct 20)
Week 11: Oct 25,27 9.1-9.4 Linear Algebra, Matrices & Vectors, Linear Systems in Normal Form
Week 12: Nov 1,3 9.5-9.7 Real and Complex Eigenvalues, Nonhomogeneous Systems
Week 13: Nov 8,10 5.2-5.4 Elimination Methods for Systems, Phase Plane
Week 14: Nov 15,17 5.5-5.6, Review Mass-Spring Systems, Electrical Circuits
Week 15: Nov 22 Test # 3 Test # 3 (Nov 22), No Class (Nov 24) - THANKSGIVING BREAK
Week 16: Nov 28, Dec 1 12.2-12.4, Review Linear Systems in the Plane, Almost Linear Systems
Week 17: No class Final exams week Final Exam (Dec 8, 1-4 pm)