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Mathematics and Sciences
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MS1401 – Engineering Physics |
Credit Hours: 3 + 1 |
Pre-requisite: None |
Introduction: An introductory course in Physics introducing the basic concepts in Physics that are required in various engineering courses at later stages. |
Contents: 1. Measurements and units Measurement errors, precision and accuracy, S.I. units. 2. Scalars and vectors Vector notation, addition and subtraction of vectors, resolution and composition of vectors, unit vector base vectors, scalar and vector products. 3. Rectilinear mechanics: Kinematics: Frame of reference, displacement, velocity and acceleration as time derivatives, kinematical equations of motion, distance-time and velocity-time graphs. Dynamics: Force and Newton’s laws of motion, linear momentum, impulse, law of conservation of linear momentum, solid (/dry) friction. 4. Rotational mechanics: Kinematics: Angular displacement, angular velocity, angular acceleration, kinematical equations of motion, relation between linear and angular kinematical quantities. Dynamics: Torque, moment of inertia, angular momentum, law of conservation of angular momentum. 5. Oscillations and waves: Oscillations: Simple harmonic motion, mass connected to a spring, simple pendulum, phase angle. Waves: Harmonic waves in one dimension, spatial/temporal phases, interference of two harmonic waves. 6. Fluid mechanics: Statics: Ideal fluid, pressure in a fluid, Pascal’s principle, hydraulic lift, Archimedes principle. Dynamics: Equation of continuity, Bernoulli’s equation. 7. Geometrical Optics: Ray picture of light, types of transparent media, reflection, refraction and total internal reflection of light, thin lens formula, optical instruments. 8. Introduction to Quantum theory: Quantization of energy, photon, particle nature of light, Compton effect, wave nature of matter, diffraction of electrons, wave particle duality and Bohr’s principle, Heisenberg’s uncertainty principle. |
Text Book and References: · D. Halliday, R. Resnick, J. Walker, Fundamentals of Physics Extended, 8th edition. · H. D. Young, R. A. Freedman, A. L. Ford, F. W. Sears, Sears and Zemansky’s university physics: with modern physics, 11th ed. |
MS1302 – Calculus |
Credit Hours: 3 + 0 |
Pre-requisite: None |
Introduction: Introductory course of calculus for applications in Engineering. |
Contents: Differential Calculus Introduction to functions, graphs, limits and continuity. Derivatives as a limit , Basic laws of differentiation, chain rule and implicit differentiation. Derivative as a slope and as a rate of change; tangent and normal, critical points, maxima, minima and point of inflection; optimization. Taylor and Maclaurin series and convergence, L’ Hopital rule and mean value theorem.
Integral Calculus Integral as anti-derivative, basic formulas and tables, indefinite and definite integrals. Methods of integration: substitution, by parts and partial fractions. Definite integral as limit of a sum, application to area, mean values and volume of solids of revolution. Polar coordinates, simple curves, graphs and area of plane figures ; parametric curves, arc length and surface of a solid of revolution.
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Text Book and References: · G.B Thomas, Calculus · Peter Kuhfittig, Basic Technical Mathematics with Calculus · Strauss, Bradley and Smith, Calculus
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Management Sciences
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Social Sciences
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Culture
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English
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