Logic, logical and critical reasoning
Introduction and importance of logic
Inductive, deductive and abductive approaches of reasoning
Propositions, arguments (valid, invalid), logical connectives, truth tables, propositional
equivalences
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
