CONTENT
1. Logic, logical and critical reasoning
• Introduction and importance of logic
• Inductive, deductive and abductive approaches of reasoning
• Propositions, arguments logical connectives, truth tables
• Logical fallacies
• Vann Diagrams
• Predicates and quantifies
• Quantitative reasoning exercises using logical reasoning concepts and techniques
2. Mathematical modeling and analyses
• Introduction to deterministic models
• Use of linear functions for modeling in real-world situations
• Modeling with the system of linear equations and their solutions
• Elementary introduction to derivatives in mathematical modeling
• Linear and exponential growth and decay models
• Quantitative reasoning exercises using mathematical modeling
3. Statistical modeling and Analyses
• Introduction to probabilistic models
• Bivariate analysis, scatter plots
• Simple linear regression model and correction analysis
• Basics of estimation and confidence interval
• Testing of hypothesis (z-test, t-test)
• Statistical inference in decision making
• Quantitative reasoning exercise using statistical modeling