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

Tác giả: Pamini Thangarajah
Nhà xuất bản: Mount Royal University
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 44 mục

1: Basic Language of Mathematics
1.0 : Introduction to the Basic Language of Mathematics
1.1: Compound Statements
1.2: More on Logical Statements
1.3: Arguments
1.E: Basic Language of Mathematics (Exercises)
2: Basic Concepts of Sets
2.0: Introduction
2.1: Subsets and Equality
2.2: Set Operations
2.3: Venn Diagrams and Euler Diagrams
2.4: Properties of Sets
2.E: Basic Concepts of Sets (Exercises)
3: Number Patterns
3.1: Proof by Induction
3.2: Arithmetic Sequences, Geometric Sequences : Visual Reasoning, and Proof by Induction
3.3: Recognising Sequences
3.4: Finite Difference Calculus
3.E: Number Patterns (Exercises)
4: Basic Concepts of Euclidean Geometry
4.1: Euclidean geometry
4.2: 2-D Geometry
4.3: 3-D Geometry
4.4: Transformations
4.5: Symmetry
4.6: Summary
4.E: Basic Concepts of Euclidean Geometry (Exercises)
5: Basic Concepts of Probability
5.1: Counting
5.2: Probability: Living with odds
5.3: Expected value
5.E: Basic Concepts of Probability (Exercises)
6: Introduction to Statistics
6.1: Qualitative Data and Quantitative Data
6.2: Descriptive Statitics:Measures of Center Measures of Variation and the Five -Number Summary
6.3: Introduction to Statistical Calculations using Microsoft EXCEL
6.4: Binomial distribution and Normal Distribution
6.E: Introduction to Statistics (Exercises)
7: Rational Reasoning
7.1: Dimensional Analysis
7.2: Egyptian Fractions
7.E: Rational Reasoning (Exercises)
Mock exams
Sample term test 1