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A differential equation is an equation that relates a function to one or more of its derivatives. – 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. – Examples: Anything in motion. Also, many things that are not in motion. Also, many additional things to which the word “motion” does not really apply. – 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, – More examples: Pretty much everything. Topics include methods of solving ordinary differential equations and applications to various problems. Avatar and site header created using nightcafe studio

A differential equation is an equation that relates a function to one or more of its derivatives. – 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. – Examples: Anything in motion. Also, many things that are not in motion. Also, many additional things to which the word “motion” does not really apply. – 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, – More examples: Pretty much everything. Topics include methods of solving ordinary differential equations and applications to various problems. Avatar and site header created using nightcafe studio

The main topics of this course will be an in-depth study of functions: polynomial functions, radical functions, rational functions, trigonometric functions, exponential and logarithmic functions. We will also study connections to vectors and complex numbers; solving trigonometric equations, and identities involving sum, double and half-angle formulas; and the Binomial Theorem.

The main topics of this course will be an in-depth study of functions: polynomial functions, radical functions, rational functions, trigonometric functions, exponential and logarithmic functions. We will also study connections to vectors and complex numbers; solving trigonometric equations, and identities involving sum, double and half-angle formulas; and the Binomial Theorem.