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MTH 210: Communicating in Mathematics

by GVSUmath
Playlist107 videos576,209 views
These screencasts are designed for students taking MTH 210, Communicating in Mathematics at Grand Valley State University. They are intended to be paired with the book "Mathematical Reasoning: Writing and Proof" by Ted Sundstrom. Screencasts are numbered by sections in that book (1.1.4 is the fourth screencast for section 1.1, for example).
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Sets and set operations (Screencast 5.1.1)

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Operations using infinite sets (Screencast 5.1.2)

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Subsets and set equality (Screencast 5.1.3)

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Cardinality (Screencast 5.1.4)

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Proving subset inclusion (Screencast 5.2.1)

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Proving set equality (Screencast 5.2.2)

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Disjoint sets (Screencast 5.2.3)

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Identities about sets (Screencast 5.3.1)

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Using set identities (Screencast 5.3.2)

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Using set identities, part 2 (Screencast 5.3.3)

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Using set identities, part 3 (Screencast 5.3.4)

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Cartesian products (Screencast 5.4.1)

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Proofs involving Cartesian products (Screencast 5.4.2)

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Functions: The big concepts (Screencast 6.1.1)

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Functions: Terminology (Screencast 6.1.2)

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Function example: Names to initials (Screencast 6.1.3)

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Function example: Counting primes (Screencast 6.1.4)

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Function example: Derivatives (Screencast 6.1.6)

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Function example: Averages (Screencast 6.1.7)

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Non-examples of functions (Screencast 6.1.8)

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Equality of functions (Screencast 6.2.1)

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Functions involving congruences (Screencast 6.2.2)

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Injective functions (Screencast 6.3.1)

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Surjective functions (Screencast 6.3.3)

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Compositions of functions (Screencast 6.4.1)

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Functions as sets of ordered pairs (Screencast 6.5.1)

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Sets of ordered pairs as functions (Screencast 6.5.2)

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Inverses of functions (Screencast 6.5.3)

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Working with inverse functions (Screencast 6.5.4)

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Relations (Screencast 7.1.1)

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Directed graphs for relations (Screencast 7.1.2)

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Properties of relations (Screencast 7.2.1)

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Equivalence relations (Screencast 7.2.2)

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