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ECU 104: ENGINEERING MATHEMATICS I
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| bet | 2/48 | | Sana | 02.01.2024 | | Hajmi | 327 Kb. | | #129611 |
Bog'liq BACHELOR OF SCIENCE ELECTRICAL ELECTRONICS ENGINEERING
The straight line: Equation of parallel and perpendicular lines; directed and undirected distances: The circle: General equation and equation at a tangent at a point of contact and from an external point: Polar coordinates and their definitions, relationship with Cartesian coordinates, graphs and equations: Ellipse parabola and hyperbola: Equations in standard form and with change of origin: Chord, tangent and normal including parametric form: Vectors: In two and three dimensions; addition, subtraction, multiplication by scalars, resolution, scalar and vector products; velocity and acceleration vectors. Applications to plane trigonometry, geometry of straight line in two and three dimensions, curve in two dimensions, and resultant force and velocity.
ECU 105: ENGINEERING MATHEMATICS II
Algebra: Surds, logarithms and indices: Quadratic functions, equations and inequalities; exponential functions; trigonometric functions, graphs and inverse for degree and radian measure, addition multiple angle and factor formulae; trigonometric identities and equations; Sine and Cosine rule; standard trigonometric formulae: Hyperbolic functions; Sinh and Cosh, Hyperbolic Identities (Osborne’s rule): Permutations and combinations: Binomial theorem and its application: Remainder theorem and its applications to solution of factorisable polynomial equations and inequalities: Complex numbers: arithmetic operations and geometric representations; modulus; arguments; De Moivre's theorem; applications: Roots of complex numbers; Hyperbolic functions; properties; graphs; identities.
EEE 100: ENGINEERING DRAWING I
Various aspects of graphic language: Aesthetic, artistic and Technical Drawing: Drawing in relation to design and production: Technical Drawing equipment for pencil work and ink work drawing, paper size, lines, lettering, numbering and titling: Applied geometry: Construction of Loci, threads, cams and gear teeth profiles: Orthographic projection of simple objects, first and third angle projections: Dimensioning: Pictorial drawing: Isometric, Oblique and perspective: Auxiliary views; true length of a line, true shape of a surface, true inclination of angles; development; interpenetration of geometric solids: Curves of interpenetration.
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