Calculus and Analytical Geometry [MATH-107]

Calculus and Analytical Geometry:-

To provide foundation and basic ground for calculus and analytical geometry background.In the end students will be able to define functions, their graphical behavior and to solve the mathematical problems using different techniques. It would serve them as a tool in making logics in computer programs.
Complex Numbers, Simple Cartesian Curves, Functions and Graphs, Symmetrical Properties, Curve Tracing, Limit and Continuity, Differentiation of Functions. Derivative as Slope of Tangent to a Curve and as Rate of Change, Application to Tangent and Normal, Linearization, Maxima/Minima. Integral as Anti-derivative, Indefinite Integration of Simple Functions. Methods of Integration: Integration by Substitution, by Parts.

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