COURSE IN ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATIONS

Conservation of Energy;Escape Velocitp;Exponential of Function;Order of a Differential Equation;Frobenius Method;Hermite Equation;Approximation of Solutions;Small Vibrations of a Pendulum; Preditors and Prey;Liapunov Stability;Geodesics on a Surface;The Theorems of Minding and Sturm;The Law of Cosines in Non-Euclidian Space;Linear Systems and Higher Order Equations;Autonomous Dynamical Systems;The Poinare-Bendixson Theorem;Variable Co-efficients;Periodic Co-efficients;The Floquet-Liapunov Theorem;The Wave Equation;D'alembert's Formula;Laplace's Equation;The Heat Equation;The Brachistochrone Problem;The Isoperimetric Problem;Geodesics on a Riemanian Surface;The Principle of Least Action;The Gauss-Bonnet Sheorem;Planetary Motion;The Plateau Problem