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Mathematical Reasoning

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Mathematical Reasoning

This course explores topics in discrete mathematics including the language of logic, set theory, enumeration, probability, and statistics. Basic elements of probability and statistics will be used to solve problems involving the organization, description, and interpretation of data. Furthermore, it explores topics in Euclidean geometry.

Mathematics
Author
Pamini Thangarajah
Publisher
Mount Royal University
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 44 sections
  1. 1: Basic Language of Mathematics
  2. 1.0 : Introduction to the Basic Language of Mathematics
  3. 1.1: Compound Statements
  4. 1.2: More on Logical Statements
  5. 1.3: Arguments
  6. 1.E: Basic Language of Mathematics (Exercises)
  7. 2: Basic Concepts of Sets
  8. 2.0: Introduction
  9. 2.1: Subsets and Equality
  10. 2.2: Set Operations
  11. 2.3: Venn Diagrams and Euler Diagrams
  12. 2.4: Properties of Sets
  13. 2.E: Basic Concepts of Sets (Exercises)
  14. 3: Number Patterns
  15. 3.1: Proof by Induction
  16. 3.2: Arithmetic Sequences, Geometric Sequences : Visual Reasoning, and Proof by Induction
  17. 3.3: Recognising Sequences
  18. 3.4: Finite Difference Calculus
  19. 3.E: Number Patterns (Exercises)
  20. 4: Basic Concepts of Euclidean Geometry
  21. 4.1: Euclidean geometry
  22. 4.2: 2-D Geometry
  23. 4.3: 3-D Geometry
  24. 4.4: Transformations
  25. 4.5: Symmetry
  26. 4.6: Summary
  27. 4.E: Basic Concepts of Euclidean Geometry (Exercises)
  28. 5: Basic Concepts of Probability
  29. 5.1: Counting
  30. 5.2: Probability: Living with odds
  31. 5.3: Expected value
  32. 5.E: Basic Concepts of Probability (Exercises)
  33. 6: Introduction to Statistics
  34. 6.1: Qualitative Data and Quantitative Data
  35. 6.2: Descriptive Statitics:Measures of Center Measures of Variation and the Five -Number Summary
  36. 6.3: Introduction to Statistical Calculations using Microsoft EXCEL
  37. 6.4: Binomial distribution and Normal Distribution
  38. 6.E: Introduction to Statistics (Exercises)
  39. 7: Rational Reasoning
  40. 7.1: Dimensional Analysis
  41. 7.2: Egyptian Fractions
  42. 7.E: Rational Reasoning (Exercises)
  43. Mock exams
  44. Sample term test 1