A Course Module for Mathematics in the Modern World
Module 6 Commercial Mathematics
91 Lesson 1 Simple Interest ................................... 92 Lesson 2 Compound Interest ................................ 96 Lesson 3 StocksandBonds ................................. 99 108 Lesson 1 FundamentalsofGraphTheory...................... 109 Lesson 2 Euler’s Formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 Lesson 3 Graph Coloring ................................... 117 122 Lesson 1 Solving Systems of Linear Inequalities . . . . . . . . . . . . . . . . . 123 Lesson 2 Linear Programming ............................... 129 136 Lesson 1 Propositions ...................................... 137 Lesson 2 Truth Tables and Tautologies ........................ 143 Lesson 3 Conditional, Biconditional, and Related Statements. . . . . . . . . 151 Lesson 4 SymbolicArguments............................... 158 Lesson 5 ArgumentsandEulerDiagrams...................... 167
2025 04-MB-00068-0 978-621-04-5553-3 Core
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Module 7 Mathematics of Graphs
CONTENTS Contents
Module 8 Linear Programming
Preface ................................................................ v Module 1 The Nature of Mathematics 1 Lesson 1 Mathematics in Nature ............................. 2 Lesson 2 Numbers and Patterns ............................. 7 Module 2 Mathematics as a Language 13 Lesson 1 TheLanguageofMathematics....................... 14 Lesson 2 Elementary Logic: Connectives, Variables, Quantifiers,andNegations.......................... 22 Module 3 Problems, Reasons, and Solutions in Mathematics 30
Module 9 Logic
Index .................................................................. 178
Lesson 1 InductiveReasoning ............................... 31 Lesson 2 DeductiveReasoning .............................. 35 41 Lesson 1 Classification and Organization of Data. . . . . . . . . . . . . . . . 42 Lesson 2 MeasuresofCentralTendency....................... 44 Lesson 3 MeasuresofDispersion ............................ 48 Lesson 4 Symmetric and Asymmetric Distributions . . . . . . . . . . . . . . 51 Lesson 5 Presentation and Interpretation of Data . . . . . . . . . . . . . . . 53 65 Lesson 1 Normal Distribution ............................... 66 Lesson 2 LinearCorrelationAnalysis.......................... 79 Lesson 3 Simple Linear Regression Analysis . . . . . . . . . . . . . . . . . . . . 84 91 Lesson 1 Simple Interest ................................... 92 Lesson 2 Compound Interest ................................ 96 Lesson 3 StocksandBonds ................................. 99 108 Lesson 1 FundamentalsofGraphTheory...................... 109 Lesson 2 Euler’s Formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 Lesson 3 Graph Coloring ................................... 117 122 Lesson 1 Solving Systems of Linear Inequalities . . . . . . . . . . . . . . . . . 123 Lesson 2 Linear Programming ............................... 129 136 Lesson 1 Propositions ...................................... 137 Lesson 2 Truth Tables and Tautologies ........................ 143 Lesson 3 Conditional, Biconditional, and Related Statements. . . . . . . . . 151 Lesson 4 SymbolicArguments............................... 158 Lesson 5 ArgumentsandEulerDiagrams...................... 167
Module 4 Statistics and Data
iv
Module 5 Data Management Tools
Module 6 Commercial Mathematics
iii
Module 7 Mathematics of Graphs
Module 8 Linear Programming
Module 9 Logic
2025 Higher Education Learning Solutions for the General Education Program 530
Index .................................................................. 178
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