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MAT 1130: Mathematical Ideas

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MAT 1130: Mathematical Ideas

This OER was created for MAT 1130 Mathematical Ideas at Prince George’s Community College. It presents core quantitative concepts and supports practical reasoning skills across multiple areas of mathematics. It covers foundational topics such as set theory, formal logic, personal finance, probability, descriptive statistics, voting methods and apportionment. The text includes a collection of review exercises for every chapter, reinforcing key ideas and supporting mastery of course outcomes.

Mathematics
Author
Andy Jones
Publisher
Prince George's Community College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 50 sections
  1. 01: Sets
  2. 1.01: Basics of Sets
  3. 1.02: Operations with Sets
  4. 1.03: Applications of Sets
  5. 1.04: Review Exercises
  6. 02: Logic
  7. 2.01: Introduction to Formal Logic
  8. 2.02: Introduction to Truth Tables
  9. 2.03: Equivalent Logical Statements
  10. 2.04: Analyzing Symbolic Arguments
  11. 2.05: Review Exercises
  12. 03: Probability
  13. 3.01: Basics of Probability
  14. 3.02: Odds
  15. 3.03: Expected Value
  16. 3.04: Working with Events
  17. 3.05: Conditional Probabilities
  18. 3.06: Counting Methods
  19. 3.07: Probability with Counting Methods
  20. 3.08: Review Exercises
  21. 04: Statistics
  22. 4.01: Introduction to Statistics and Sampling
  23. 4.02: Frequency Distributions and Statistical Graphs
  24. 4.03: Measures of Central Tendency
  25. 4.04: Measures of Spread and Position
  26. 4.05: The Normal Distribution
  27. 4.06: Review Exercises
  28. 05: Personal Finance
  29. 5.01: Simple Interest
  30. 5.02: Compound Interest
  31. 5.03: Savings Annuities
  32. 5.04: Payout Annuities and Loans
  33. 5.05: Review Exercises
  34. 06: Voting and Apportionment
  35. 6.01: Voting Methods
  36. 6.02: Apportionment Methods
  37. 6.03: Review Exercises
  38. 07: Appendix of Prerequisite Skills
  39. 7.01: Reading and Writing Numbers
  40. 7.02: Rounding Numbers
  41. 7.03: Exponents and Roots
  42. 7.04: Scientific Notation
  43. 7.05: Inequalities
  44. 7.06: The Order of Operations
  45. 7.07: Solving Basic Equations
  46. 7.08: Equivalent Fractions
  47. 7.09: Adding and Subtracting Fractions
  48. 7.10: Multiplying and Dividing Fractions
  49. 7.11: Percent
  50. 7.12: Ratios and Proportions