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EEE |1Year-2sem | Basic-Electrical-Engine

  BASIC ELECTRICAL ENGINEERING (Common with Electrical Engineering) Units Overview of DC Circuits DC Circuit Theorems Voltage and Current Sources Electro Magnetic Induction Batteries AC Fundamentals AC Circuits Various Types of Power Plants LIST OF PRACTICALS (To perform minimum six experiments) Operation and use of measuring instruments viz voltmeter, ammeter, CRO, Wattmeter, multi-meter and other accessories Determination of voltage-current relationship in a dc circuit under specific physical conditions and to draw conclusions. Measurement of resistance of an ammeter and a voltmeter Verification of dc circuits: Thevenin’s theorem, Norton’s theorem, Observation of change in resistance of a bulb in hot and cold conditions, using voltmeter and ammeter. Verification of Kirchhoff's Current and Voltage Laws in a dc circuit To find the ratio of inductance of a coil having air-core and iron-core respectively and to observe the effect of introduction of a magnetic core on coil inductance ...
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Polytechnic EEE 1st year, 1st sem Applied Mathematics I(A)


Units

  1. Algebra-I
  2. Algebra-II
  3. Trigonometry
  4. Differential Calculus-I
  5. Integral Calculus-I

Detailed Contents

Algebra-I (10 Marks)

  • Series- AP & GP, Sum, nth term, Mean
  • Binomial Theorem- for Positive, negative & fractional index (Without Proof), Application of Binomial Theorem.
  • Determinants- Elementary properties of determinant of order 2 & 3, Multiplication System of algebraic equation, Consistency of equation, Crammer's rule.

Algebra-II (10 Marks)


  • Vector Algebra:-
    Dot & Cross product, Scalar & Vector Triple Product.
  • Complex Number:-
    Complex numbers, Representation, Modulus and Amplitude De moivre's theorem, its application in solving algebraic equations, Mod. Function and its properties.

Trigonometry- (8 Marks)


  • Relation between sides and angles of a triangle- Statements of various formula showing relationship between sides and angles of a triangle.
  • Inverse circular function- simple case only

Differential Calculus-I (12 Marks)


  • Function, limits, continuity, functions and their graphs, range and domain, elementary methods of finding limits (right and left), elementary test for continuity and differentibility.
  • Methods of finding derivative, Function of a function, Logarithmic differentiation, Differentiation of implicit functions.

Integral Calculus-I (10 Marks)

Methods of Indefinite Integration:-

  1. Integration by substitution
  2. Integration by rational function
  3. Integration by partial fraction
  4. Integration by parts

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