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2024 Spring MAT 2680 Differential Equations Reitz
A differential equation is an equation that relates a function to one or more of its derivatives. β The above rather boring description does little to convey just how fundamental, widespread, and amazingly effective differential equations are in describing the world around us. β Examples: Anything in motion. Also, many things that are not in motion. Also, many additional things to which the word βmotionβ does not really apply. β Further examples: spaceships in orbit, populations growing and shrinking, a cup of coffee slowly cooling, springs bouncing, financial markets rising and falling, electrical current flowing through a circuit, ocean waves, sound waves, light waves, vibrations in musical instruments and airplane wings and suspension bridges, β More examples: Pretty much everything. Topics include methods of solving ordinary differential equations and applications to various problems. Site header created using nightcafe studio, avatar created using Adobe Express
This is a 4 credit course. Topics include an in-depth study of functions such as polynomial functions,radical functions, rational functions,trigonometric functions, exponential and logarithmic functions; connections to vectors and complex numbers; solving trigonometric equations, and identities involving sum, double and half-angle formulas; Binomial Theorem and progressions.
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