This was a third semester course of calculus concerning applied differential equations.
Course notes:
Week I:
Introduction (Definitions, Classification, Direction Fields)
Week II:
First-Order ODEs (Integrating Factors, Separable Equations)
Week III:
First-Order ODEs (Salt Tank Problems, Newton's Law of Cooling)
Week IV:
First-Order ODEs (Autonomous equations, Existence and Uniqueness Theorem)
Week V:
First-Order ODEs (Exact Equations, Conclusion) and
Second-Order ODEs (Introduction, Constant Coefficients)
Week VI:
Second-Order ODEs (Linear Homogeneous Equations, Wronskian)
Week VII:
Second-Order ODEs (Complex Roots of the Characteristic Equation)
Week VIII:
Second-Order ODEs (Repeated Roots, Reduction of Order, Undetermined Coefficients)
Week IX:
Second-Order ODEs (Mechanical and Electrical Vibrations, Forced Vibrations)
Week X-XI:
Systems of First-Order ODEs (Introduction, Vectors and Matrices, Basic Theory)
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