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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. Course Avatar and Site Header from a photo by Flickr user Timitrius: http://www.flickr.com/photos/nox_noctis_silentium/3929249893

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. Course Avatar and Site Header from a photo by Flickr user Timitrius: http://www.flickr.com/photos/nox_noctis_silentium/3929249893

This hybrid will provide an overview of the basic principles in development from prenatal to adolescent. We will review trends in contemporary research on physical, intellectual, emotional, and social development from birth through adolescence and the impact of the interaction of these various aspects of development upon the individual as a whole. Major issues examined in this course include the relation of nature to nurture, of genes to environment, of the developing individual to the changing social context, and of mental health to school performance. We will begin with the history of developmental psychology, and research methodologies. We will discuss the contexts in which children live, with a particular focus on family, peers, and the larger cultural context. Then, we will examine physical, cognitive, and socio-emotional development, with consideration of the cultural context, and focusing within each on examples of current research.

This hybrid will provide an overview of the basic principles in development from prenatal to adolescent. We will review trends in contemporary research on physical, intellectual, emotional, and social development from birth through adolescence and the impact of the interaction of these various aspects of development upon the individual as a whole. Major issues examined in this course include the relation of nature to nurture, of genes to environment, of the developing individual to the changing social context, and of mental health to school performance. We will begin with the history of developmental psychology, and research methodologies. We will discuss the contexts in which children live, with a particular focus on family, peers, and the larger cultural context. Then, we will examine physical, cognitive, and socio-emotional development, with consideration of the cultural context, and focusing within each on examples of current research.

A basic introduction to ordinary (not partial) differential equations. While systems are discussed, the focus is on the solution and analysis of single equations and the physical processes from which they may have originated. While many of the most common solution techniques are covered, including numerical, the emphasis is on qualitative analysis and the use of technology.

A basic introduction to ordinary (not partial) differential equations. While systems are discussed, the focus is on the solution and analysis of single equations and the physical processes from which they may have originated. While many of the most common solution techniques are covered, including numerical, the emphasis is on qualitative analysis and the use of technology.

Software for Computer Control

Software for Computer Control