MATHEMATICAL TOOLS

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Lect # 1
Content Covered:

Variables, functions, angles, units of angles (Degree & radion) , conversion of units, Trigonometric ratios/ functions, values of trigonometric ratios, values of trigonometric ratios for angles grater than 90°,

Duration: 36 Minutes

Lect # 2
Content Covered:

unit circle method, CAST rule. Trigonometric formula, sine rule & cosine rule , Logrithem , exponential and inverse functions

Duration: 1 hr 02 Minutes

Lect # 3
Content Covered:

oordinate geometry , slope of a line , equation of straight line, parabola , ellipse, circle and rtectangular hyperbola.

Duration: 30 Minutes

Lect # 4
Content Covered:

Differentiation, geometrical meaning of differentiation, slope of a line, formulae for differentiation, rules of differentiation- addition/subtraction rule, product rule, quotient rule, constant multiple rule, chain rule.

Duration: 43 Minutes

Lect # 5
Content Covered:

Higher order Differentiation , implicit functions , important problems .

Duration: 25 Minutes

Lect # 6
Content Covered:

Differentiation as rate measurement, maxima & minima.

Duration: 50 Minutes

Lect # 7
Content Covered:

Integration, geometrical meaning of integration, formulae of integration,

Duration: 16 Minutes

Lect # 8
Content Covered:

Definite integration, rules of integration, addition/ subtraction rule, method of substitution. Integration by parts, Integration as area under curve, indefinite integration , area under curve.

Duration: 48 Minutes

Lect # 9
Content Covered:

ntroduction to vectors, null vector, unit vector, negative of a vector, graphical representation and mathematical representation of a vector, angle b/w two given vectors,

Duration: 36 Minutes

Lect # 10
Content Covered:

Resolution of vector.Addition of vectors, triangle method and parallelogram method, substraction of vectors.

Duration: 26 Minutes

Lect # 11
Content Covered:

Dot product and its uses.

Duration: 27 Minutes

Lect # 12
Content Covered:

Cross product and its uses , right hand screw rule

Duration: 48 Minutes

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