Unit: Limits & Continuity Chapter: Continuity of a Function & Domain Reference: – Jump & Infinite Continuous function, Interval of continuity, Continuity & Limits, Piecewise functions, Domain Restrictions, Infinite & Asymptote limits, Uniform Continuity, Common Functions, Vertical Asymptotes, Exponential limits, Logarithmic limits, Hole in the domain, Behaviour of functions & Domain After studying this […]
Unit: Limits & Continuity Chapter: Definition & Properties of Limits Reference: – Limit laws, Epsilon-delta notation, Algebraic properties of limits, Limits functions, Continuous & Discontinuous limits, Infinite & Asymptote limits, Intermediate value theorem, L-Hospital Rule, Squeeze theorem, Exponential limits, Logarithmic limits, Concept of limits, Behaviour of limits After studying this chapter, you should be […]
Unit: Application of Integrations Chapter: Area between Curves & Different Methods Reference: – Behaviour of a function, Different types of Asymptotes, Continuity of a function, Piecewise functions, Existence of Root Methods, Infinite & Asymptote limits, Bisection methods, Oblique Functions, Vertical Asymptotes, Exponential functions, Logarithmic limits, Squeeze theorem, Intermediate value theorem, Rational Functions After studying this […]
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. […]