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Quantitative Reasoning-II (EVIDENCE-BASED PRACTICE) (QRE-212): Course contents (QER-212)

Course description

Quantitative reasoning (II) is a sequential undergraduate course that focuses on logical reasoning supported by mathematical and statistical concepts and modeling/ analysis techniques to equip students with analytical skills and critical thinking abilities necessary to navigate the complexities of the modern world. The course is designed to familiarize students with the quantitative concepts and techniques required to interpret and analyze numerical data and to inculcate an ability in students the logical reasoning to construct and evaluate arguments, identify fallacies and think systematically. Keeping the pre-requisite course of Qualitative Reasoning (I) as its base, this course will enable students to further their quantitative, logical and logical, and critical reasoning abilities to complement their specific major/field of study.

Course Learning Outcomes

By the end of this course, students shall have

1. Understanding of logic and logical reasoning

2. Understanding of basic quantitative modeling and analyses

3. Logical reasoning skills and abilities to apply them to solve quantitative problems and evaluate arguments

4. Ability to critically evaluate quantitative information to make evidence-based decisions through appropriate computational tools

Course contents

1. Logic, logical and critical reasoning

  •  Introduction and importance of logic
  •  Inductive, deductive, and abductive approaches to 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
  •  An 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

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