Young, Kelley
Page Navigation
- Welcome
- Class Calendars
-
Resources
- Precalculus Topics
- Limits, Continuity, and Asymptotes
- Introduction to Derivatives
- Introduction to Antiderivatives
- Derivative and Integral Methods
- Characteristics of Curves
- Riemann and Trapezoidal Sums, Definite Integrals, and Average Value
- Improper Integrals, L'Hopital's Rule, and Second Fundamental Theorem
- Implicit Differentiation and Related Rates
- Parametric Equations and Vectors
- Integration by Parts and Partial Fractions
- Differential Equations: Exponential and Logistic Growth
- The Geometry of Calculus
- Polar Derivatives and Area
- Convergence and Divergence of Series
- Taylor and Maclaurin Polynomials and Series
-
The videos embedded below are provided to offer support for this course. They are in the following order.Introduction to Taylor and Maclaurin Polynomials
- Introduction to Taylor Polynomials
- MacLaurin Polynomial: sin(x)
- Taylor Polynomial: Natural LogMaclaurin Polynomial Natural Exponential Function
- Taylor Polynomial Numerically
- Taylor Polynomial for a Limit
- Taylor Polynomial and Local Extrema
- Taylor Polynomial for an Integral
Power and Taylor Series; Intervals of Convergence- Introduction to Power Series
- Interval of Convergence Example 1 Part 1
- Interval of Convergence Example 1 Part 2
- Interval of Convergence Example 2
- Interval of Convergence Example 3
- Interval of Convergence Example Wrap-up
Taylor Series; Three Special Series
- Introduction to Taylor Series and Example ()
- Three Maclaurin Series You Should Know
- Manipulation of Series Part 1
- Manipulation of Series Part 2
- Manipulation of Series Part 3
Representation of Functions as Power Series- Geometric Power Series Part 1
- Geometric Power Series Part 2
- Geometric Power Series Part 3
- Geometric Power Series Part 4
Differentiation and Integration of a Power Series
Introduction to Taylor and Maclaurin PolynomialsPower and Taylor Series; Intervals of ConvergenceRepresentation of Functions as Power Series
