Unit: Infinite Sequence & Series Chapter: Error Bound & Interval of Series Reference: – Taylor Series, Remainder term, Lagrange error Bound, Alternating series error bound, Integral test, Comparison test, Ratio test, Root test, Geometric series, Power series, Maclaurin series, Binomial series, Estimating series sums, Interval estimation techniques. After studying this chapter, you should be […]
Unit: Infinite Sequence & Series Chapter: Divergence & Convergence Tests Reference: – Divergence test, Geometric series, Integral test, Comparison test, Limit comparison test, Alternating series test, Absolute convergence, Conditional Convergence, Ratio test, Root test, Taylor series, Radius of convergence, Interval of convergence. After studying this chapter, you should be able to: Introduction to Convergence & […]
Unit: Infinite Sequence & Series Chapter: Geometric, Harmonic & P – Series Reference: – Convergence & Divergence series, Geometric series, Telescopic series, Harmonic series, Finite & Infinite Geometric series, Absolute & Conditional convergence, Comparison test, Ratio & root test, Integral test, P- Series, Taylor series & Power series, Applications & Mathematical Analysis. After studying […]
Unit: Infinite Sequence & Series Chapter: Convergence of Infinite Series Reference: – Divergence test, Geometric series, Integral test, Comparison test, Limit comparison test, Alternating series test, Absolute convergence, Conditional Convergence, Ratio test, Root test, Taylor series, Radius of convergence, Interval of convergence. After studying this chapter, you should be able to: Introduction to Convergence & […]
Unit: Parametric Equations, Polar Coordinates & Vector-valued function Chapter: Area of Region by Polar Curve Reference: – Polar coordinates, Polar curves, converting equations, graphing polar curves, Symmetry, Area between curves, Area enclosed by a curve, Rose curves, Limacons & Cardioids, Polar equation of conics, Multiple intersection points. After studying this chapter, you should be able […]
Unit: Parametric Equations, Polar Coordinates & Vector-valued function Chapter: Derivatives of Function in polar Coordinates Reference: – Differentiability & Continuity, Increasing & Decreasing functions, Curve sketching, Analysis of a function, Optimization problems, First & Second Derivative test, Related rates, Local extrema, Implicit differentiation & Applications. After studying this chapter, you should be able to: Introduction […]
Unit: Parametric Equations, Polar Coordinates & Vector-valued function Chapter: Calculating Velocity, Speed & Acceleration along a curve Reference: – Tangent lines, Slope of curves, Velocity Function from a position function, Average speed & Acceleration over an interval, Relative motion & Velocity, Analyzing motion with parametric equations, Projectile motion & Components, Curvature & the second derivative. […]
Unit: Parametric Equations, Polar Coordinates & Vector-Valued Function Chapter: Position of Particles Moving in plane Reference: – Position vectors, Velocity vectors, Acceleration vectors, Scalar & Vector functions, Tangent vector, Tangent lines, Normal vector, Normal lines, Curvature & Arc length of a curve, Projectile Motion & Relative motion, Polar equations, Application of Vector calculus After studying […]
Unit: Parametric Equations, Polar Coordinates & Vector-valued function Chapter: Accumulation of Change over an Interval Reference: – Riemann sums, Definite integrals, Fundamental theorem, Antiderivatives, Area under a curve, Accumulation functions, Average value of functions, Mean value theorem for Integrals, Properties & Estimation, Trapezoidal rule, Simpson's Rule, Application & Motion problems. After studying this chapter, you […]
Unit: Parametric Equations, Polar Coordinates & Vector-Valued Function Chapter: Derivatives of Parametric & Vector-valued Functions Reference: – Parametric equations, Parametric curves, Tangent lines, Normal lines, Arc length, Curvature, Acceleration, Tangent Vectors, Normal Vectors, Binormal vectors, Unit Tangent, Planar curves, Polar coordinates, Applications & Properties After studying this chapter, you should be able to: Introduction […]