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This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and Header images created with Hipster Logo Generator http://www.hipsterlogogenerator.com/

This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and Header images created with Hipster Logo Generator http://www.hipsterlogogenerator.com/

This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and Header images are public domain works from Glitch the Game, created by Tiny Speck, Inc. (http://www.glitchthegame.com/public-domain-game-art/)

This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and Header images are public domain works from Glitch the Game, created by Tiny Speck, Inc. (http://www.glitchthegame.com/public-domain-game-art/)

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 darkdenver (Steven Bratman): https://www.flickr.com/photos/darkdenver/

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 darkdenver (Steven Bratman): https://www.flickr.com/photos/darkdenver/

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 course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and site header created using tagxedo.com.

This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and site header created using tagxedo.com.