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Applied Mathematica-1st | 12hrs. Live Class | Polytechnic 1st Semester | by Gaurav Sir.
1. ALGEBRA-I
1.1 Series: AP and GP; Sum, nth term, Mean

1.2 Binomial theorem for positive, negative and fractional index (without proof). Application of Binomial theorem.

1.3 Determinants: Elementary properties of determinant of order 2 and 3, Multiplication system of

algebraic equation, Consistency of equation, Crammer's rule

2. ALGEBRA-II

2.1 Vector algebra: Dot and Cross product, Scaler and vector triple product.

2.2 Complex numbers: Complex numbers, Representation, Modulus and amplitud Demoivre theorem, its application in solving algebraic equations, Mod. function and its properties.

TRIGONOMETRY

3.1 Relation between sides and angles of a triangle: Statement of various formulae showing relationship

between sides and angle of a triangle.

3.2 Inverse circular functions: Simple case only.

4. DIFFERENTIAL CALCULUS-I

4.1 Functions, limits, continuity, functions and their graphs, range and domain, elementary methods of finding limits (right and left), elementary test for continuity and differentiability.

4.2 Methods of finding derivative, Function of a function, Logarithmic differentiation, Differentiation of

implicit functions.

DIFFERENTIAL CALCULUS-II

5.1 Higher order derivatives, Leibnitz theorem. 5.2 Special functions (Exponential, Logarithmic, Hyperbolic, Inverse circular and function), Definition,

Graphs, range and Domain and Derivations of each of these functions. 5.3 Application-Finding Tangants, Normal, Points of Maxima/Minima, Increasing/Decreasing functions, Rate, Measure, velocity, Acceleration, Errors and approximation.

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