LOGIC FOR UNDERSTANDING MATHEMATICS
TABLE OF CONTENTS
SESSION 1:
Introduction
Chapter 0: Math: Clarity or Confusion
Chapter 1: Statement
Chapter 2: Connectives
SESSION 2:
Chapter 3: Truth Values of Statements Containing Connectives
Chapter 4: Truth Tables
SESSION 3:
Chapter 5: Tautology
Part of Chapter 6: Equivalence
SESSION 4:
Clear up any problems with Session 3 homework assignment
Stop here for first major test.
Tell how to prepare for first major test.
BEFORE VIEWING SESSION 5, TAKE MAJOR TEST 1
SESSION 5:
Go over the key of major test 1 and tell how to grade it.
SESSION 6:
Finish Chapter 6 of BOOK
Chapter 7: Implication
Chapter 8: List of Tautologies
SESSION 7:
Chapter 9: Valid Argument
SESSION 8:
Chapter 10: Direct Proof
SESSION 9:
Chapter 11: Indirect Proof
SESSION 10:
Clear up any problems with Session 9 homework assignment.
Stop here for second major test.
Tell how to prepare for the second major test.
BEFORE VIEWING SESSION 11, TAKE MAJOR TEST 2
SESSION 11:
Go over the key for major test 2 and tell how to grade it.
SESSION 12:
Chapter 12: Open Sentences
Chapter 13: Quantifiers
SESSION 13:
Chapter 14: Open Sentences Involving Two or More Quantifiers.
Chapter 15: Translation to Quantifiers
SESSION 14:
Chapter 16: Negations
Chapter 17: Direct Proof of If …, then … Statements
SESSION 15:
Chapter 18: Direct Proof of "Every" Statements
SESSION 16:
Clear up any problems with Session 15 homework assignment.
Stop here for third major test.
Tell how to prepare for the third major test.
BEFORE VIEWING SESSION 17, TAKE MAJOR TEST 3
SESSION 17:
Go over the key for major test 3 and tell how to grade it.
SESSION 18:
Chapter 19: Direct Proof of "For all x in I, P(x)" form.
SESSION 19:
Chapter 20: Proof of "L if and only if R".
Chapter 21: Subset
SESSION 20:
Chapter 22: Union and Intersection
Chapter 23: Difference of sets and indirect proof revisited.
SESSION 21:
Chapter 24: Axiom of Extent
SESSION 22:
Clear up any problems with Session 21 homework assignment.
Stop here for fourth major test.
Tell how to prepare for the fourth major test.
BEFORE VIEWING SESSION 23, TAKE MAJOR TEST 4.
SESSION 23:
Go over the key for major test 4 and tell how to grade it.
SESSION 24:
First Part of Chapter 25: Proof by Cases
SESSION 25:
Finish Chapter 25 with proof by cases within proof by cases.
Chapter 26: Direct Proof of "There Exists" Statements
SESSION 26:
Chapter 27:The "Let" Rule and Using "There Exists".
SESSION 27:
Chapter 28: Proper Subset
First Part of Chapter 29: Abbreviation of Proofs
SESSION 28:
Finish Chapter 29, Abbreviation of Proofs
SESSION 29:
Chapter 30: Mathematical Induction
SESSION 30:
Clear up any problems with Session 29 homework assignment.
Stop here for the Final Exam.
Tell how to prepare for the Final Exam.
BEFORE VIEWING SESSION 31, TAKE THE FINAL EXAM
SESSION 31:
Go over the key for the Final Exam and tell how to grade it.
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Algebra
II Logic
for Understanding Mathematics Calculus
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