Kevin Carlin Fall 1997 MA355.01 TR 11:30
Preliminaries: complex numbers, calculus of complex functions, the exponential function.
First order equations: integration revisited, linear equations, separable equations, exact differentials.
Linear equations with constant coefficients: second order homogeneous equations, independence, second order inhomogeneous equations, variation of constants, higher order equations, annihilator method.
Linear equations with variable coefficients: non-singular equations, reduction of order, power series solutions, regular singularities.
Existence and uniqueness of solutions: successive approximation, Lipschitz conditions, convergence, uniqueness, systems of differential equations and higher order equations.
|8 quizzes||@ 20 points||160|
|2 tests||@ 100 points||200|
|Final exam||@ 140 points||140|
All grades are based on partial credit and will be adjusted according to difficulty.
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