MTH104 Midterm and Final term Solved Past Papers

 

Sets and Logic, MTH104, is an introductory course that explores the basic ideas of mathematical logic and set theory. This course, which is designed for beginners, gives students a thorough understanding of sets, their characteristics, and their relationships. It also covers the fundamentals of formal logic and how they are used in mathematics and other fields.

MTH104 primarily examines the fundamental ideas of set theory, which is the study of collections of things in mathematics. In order to comprehend the fundamental ideas of sets, such as elements, subsets, unions, intersections, and complements, participants set out on a journey. Students learn about the basic characteristics of sets and how they are used in a variety of mathematical contexts through in-depth theoretical instruction and hands-on practice.

The study of formal systems of reasoning and inference is known as mathematical logic, and MTH104 introduces learners to its fundamental ideas. Concepts including propositions, logical operators, truth tables, quantifiers, and proofs are among the ideas covered in the propositional and predicate logic courses for participants. Participants gain the critical thinking and logical reasoning skills necessary for success in mathematics and other subjects via methodical analysis and problem-solving.

The use of logic and set theory in mathematics and other fields is examined in MTH104. The use of sets and logic in formalizing mathematical ideas, proving theorems, and resolving mathematical puzzles is taught to participants. They also learn about the applications of logic and set theory in computer science, philosophy, linguistics, and other disciplines, which helps them understand how multidisciplinary mathematics is.

Advanced subjects in logic and set theory, including cardinality, functions, relations, and formal systems, are covered in MTH104. In order to better understand the deeper ideas and uses of sets and logic in mathematics and other fields, participants study the structure and characteristics of infinite sets as well as the fundamentals of mathematical induction and recursion.