** MATHEMATICAL TOOLS **

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** Demo Video **

**All Lectures **

**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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