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The gradient of a straight line indicates how steep the line is. The gradient is calculated by taking the rise over the run between two points on the line. When the equation of a line is written in the form y=mx+c, the gradient m represents the slope and c represents the y-intercept. The gradient can be found by taking the difference of the y-coordinates and dividing by the difference of the x-coordinates between two points.
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This document discusses the slope of a line. It defines slope as the rise over the run between two points on a line. The document provides examples of calculating the slope of lines given two points through which the line passes. It also gives examples of finding the y-coordinate of a missing point when given the slope and one point.
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* Use slopes to identify parallel and perpendicular lines.
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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
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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- 2. Gradient • The Gradient of a straight line shows how steep a straight line is. • Gradient = 푑푖푓푓푒푟푒푛푐푒 푖푛 푦−푐표푟푑푖푛푎푡푒푠 푑푖푓푓푒푟푒푛푐푒 푖푛 푥−푐표표푟푑푖푛푎푡푒 푚 = 푦2 − 푦1 푥2 − 푥1
- 3. Examples The Gradient of this line = 3 3 = 1 Gradient = 4 2 = 2 The line is steeper, and so the Gradient is larger
- 4. The form y=mx+c When the equation of a straight line is written in the form y=mx+c, the gradient of the line m and the intercept on the y-axis is c. Slope or gradient (how steep the line is) Y intercept (where the line across the y axis)
- 5. Finding the equation of line (-3,-6) (0,4) m = −4 −(−6) 0 −(−3) = 2 3 푚 = 푦2 − 푦1 푥2 − 푥1 푦 = 푚푥 + 푐