Lecture 01
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The document discusses key concepts in discrete mathematics and logic including sets of integers and real numbers, statements, truth values, logical connectives like negation, conjunction, and disjunction. Examples are provided to illustrate translating statements from English to symbolic representations and constructing truth tables.
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Lecture 01
The document appears to be a lecture outline on the topics of discrete mathematics including: what discrete mathematics is, sets of integers and real numbers, logic, statements, propositions, truth values, not propositions, rules, examples of understanding statements, compound statements, symbolic representation, logical connectives, translating statements from English to symbols, negation, truth tables, conjunction, and disjunction. Each section is numbered and briefly titled to outline the content and progression of the lecture.
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Course lecture I developed over section 6.2 of Patrick Hurley\'s "A Concise Introduction to Logic".
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
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- 2. CS-708 What is Discrete Mathematics – 6 Set of Integers & Real Numbers – 5b
- 3. CS-708 What is Discrete Mathematics – 6
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- 14. CS-708 Understanding Statements – 11c
- 15. CS-708 Example – 11b
- 16. CS-708 Compound Statement – 12a
- 17. CS-708 Symbolic Representation – 13a
- 18. CS-708 Logical Connectives – 14a
- 19. CS-708 Examples – 14b
- 20. CS-708 Translating from English to Symbols – 15
- 21. CS-708 Translating from English to Symbols – 16a
- 22. CS-708 Translating from English to Symbols – 16
- 23. CS-708 Translating from English to Symbols – 17a
- 24. CS-708 Translating from English to Symbols – 17b
- 25. CS-708 Negation – 19
- 26. CS-708 Truth Table for ~p – 20
- 27. CS-708 Conjunction – 21
- 28. CS-708 Truth Table for p ^ q – 22
- 29. CS-708 Disjunction – 23
- 30. CS-708 Truth Table for p q – 15