A COURSE MODULE FOR MATHEMATICS IN THE MODERN WORLD
2019 04-MB-00066-0 978-621-04-0093-9 Core
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CONTENTS
CONTENTS
Preface
.............................................................................................................v
Chapter 1: The Nature of Mathematics...............................................................1 Lesson I: Mathematics in Nature ....................................................3 Lesson II: Numbers and Patterns ..................................................11 Chapter 2: Mathematics as a Language...........................................................17 Lesson I: The Language of Mathematics......................................19 Lesson II: Elementary Logic: Connectives, Variables, Quantifiers, and Negations ............................................29 Chapter 3: Problems, Reasons, and Solutions in Mathematics ....................39 Lesson I: Inductive Reasoning......................................................41 Lesson II: Deductive Reasoning ....................................................45 Chapter 4: Statistics and Data ..........................................................................51 Lesson I: Classification and Organization of Data ........................53 Lesson II: Measures of Central Tendency......................................57 Lesson III: Measures of Dispersion.................................................61 Lesson IV: Symmetric and Asymmetric Distributions ......................65 Lesson V: Presentation and Interpretation of Data ........................67 Chapter 5: Data Management Tools .................................................................77 Lesson I: Normal Distribution........................................................79 Lesson II: Linear Correlation Analysis............................................93 Lesson III: Simple Linear Regression Analysis ...............................99 Chapter 6: Commercial Mathematics .............................................................105 Lesson I: Simple Interest ............................................................107 Lesson II: Compound Interest...................................................... 111 Lesson III: Stocks and Bonds .......................................................115
iii
Chapter 7: Mathematics of Graphs.................................................................123 Lesson I: Fundamentals of Graph Theory ..................................125 Lesson II: Euler’s Formula ...........................................................129 Lesson III: Graph Coloring ............................................................133 Chapter 8: Linear Programming .....................................................................139 Lesson I: Solving Systems of Linear Inequalities........................141 Lesson II: Linear Programming....................................................147 Chapter 9: Logic ...............................................................................................153
Lesson I: Propositions.................................................................155 Lesson II: Truth Tables and Tautologies.......................................163 Lesson III: Conditional, Biconditional, and Related Statements........173 Lesson IV: Symbolic Arguments....................................................181 Lesson V: Arguments and Euler Diagrams ..................................191
Index
........................................................................................................ 201
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