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MTH101 : Calculus And Analytical Geometry

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Dr. Faisal Shah Khan
PhD. Mathematical Sciences
Portland State University (USA)

Course Contents

Absolute value ,Coordinates plane and graphs , Distance; Circles, Quadratic Equations, Limits, Continuity, Differentiation, Tangent Lines, Rates of Change, The Derivative, Derivatives of Trigonometric Functions Maximum and Minimum Values of Functions, Newton's Method, Roll's Theorem and the Mean Value Theorem, Integration by Substitution, Sigma Notation, Definite Integral, First and second Fundamental Theorem of Calculus, Applications of the Definite Integral: ,.Area between two curves, Volumes by Cylindrical Shells, Length of Plane Curves, Improper Integral , L'Hopital's Rule, Improper Integral, Infinite Series, Sequence and Monotone Sequences, Alternating Series; Conditional Convergence, Taylor and Maclaurin Series.