Problem Solving with Ratios Using Tape Diagrams

Introduction to Ratios

Why is (h,k) the Vertex of a Quadratic Function in Vertex Form: f(x)=a(x-h)^2+k

Why is the Vertex of a Parabola the Point (-b/(2a), f(-b/2a)) when the Equation is in General Form

Using the Box Method to Factor Trinomials: Form Ax^2+Bx+C

Determine a Taylor Series for a Rational Function. f(x)=4/x

Determine a Degree Taylor Polynomial for a Degree 3 Polynomial?

Determine a Power Series and Indefinite Integral of a Natural Log Function

Determine a Power Series, Indefinite Integral, and Radius of Convergence for Rational Function

Determine a Power Series and Indefinite Integral of a Rational Function

Determine a Power Series and the Interval of Convergence for a Rational Function

Determine the Derivatives of a Power Series that Represents a Function

Determine a Maclauring Series and the Radius of Convergence: f(x)=sin((pi/2)x)

Find the Equation of a Polynomial of Degree 5 in Factored Form Given the Zeros and Multiplicity

Determine a Maclauring Series and the Radius of Convergence: f(x)=4(1-x)^(-2)

Determine a Maclauring Series and the Radius of Convergence: f(x)=ln(1+3x)

Determine the Radius of Convergence of a Power Series (Exponents)

Determine the Radius of Convergence of a Power Series (Alternating)

Determine the Interval of Convergence and Radius of Convergence of a Power Series (Factorial)

Determine the Interval of Convergence and Radius of Convergence of a Power Series (Alt)

Solve a System of Linear Equations with Fractions Using Elimination (2)

Solve a System of Linear Equations with Fractions Using Elimination (1)

Determine the Interval of Convergence and Radius of Convergence of a Power Series (Exp)

Write a Power Series for a Function Using the Geometric Power Series (Ex 2)

Write a Power Series for a Function Using the Geometric Power Series (Ex 1)

Determine if an Infinite Series Converges or Diverges Using the Ratio Test (Exp and Factorials)

Determine if an Infinite Series Converges or Diverges Using the Ratio Test (Exponent of p)

Determine if an Infinite Series Converges or Diverges Using the Root Test: Sum:n^p(0.5)^n

Determine if an Infinite Series Converges or Diverges Using the Limit Comparison Test

Determine if an Infinite Series Converges or Diverges Using the Limit Comparison Test

Determine if an Infinite Series Given as a Sum of Fracdtions Converges or Diverges: P-Series Test

Use a Contour Map to Estimate Partial Derivative Function Values

Determine if an Infinite Series Converges or Diverges Using the Alternating Series Test

Determine if an Infinite Series Given as a Sum of Converges or Diverges: Alternating Series Test

Determine if an Infinite Series Given as a Sum Converges or Diverges: Alternating Series Test

Determine if an Infinite Series Converges or Diverges: Alternating Geometric Series

Determine if an Infinite Series Converges or Diverges: Alternating Series Test - Exponential

Determine if an Infinite Series Given as a Sum of Converges or Diverges: Alternating Series Test

Determine if an Infinite Series Converges or Diverges: Integral Test (an^4)/(n^5+b)

Determine if an Infinite Series Converges or Diverges: Integral Test (an)/(n^2+b)

Determine if an Infinite Series Given as a Sum of Fractions Converges or Diverges: Integral Test

Determine the Limit as n Approached Infinity of n^(1/n)

Determine the Interval For Which an Infinite Geometric Series Converges: Sum:(x+a)^n

Determine the Interval For Which an Infinite Geometric Series Converges: Sum:(-ax)^n

Determine if an Infinite Geometric Series Converges or Diverges: Pi and Exponent Properties

Determine if an Infinite Geometric Series Converges or Diverges: Involves a Sum

Determine if an Infinite Geometric Series Converges or Diverges: Basic

Determine if a Telescoping Series Converges or Diverges: Requires Partial Fraction Decomposition

Determine if a Telescoping Series Converges or Diverges: Difference of Trig Expressions

Determine if a Telescoping Series Converges or Diverges: Difference of Fractions with Powers

Find the First Four Partial Sums Given a Formula For Terms in Sequence

Sequences: Determine if a Sequence Converges or Diverges (Example 1)

Sequences: Determine if a Sequence Converges or Diverges (Example 2)

Sequences: Determine if a Sequence Converges or Diverges (Example 3)

Sequences: Determine if a Sequence Converges or Diverges (Example 4)

Sequences: Determine if a Sequence Converges or Diverges (Example 5)

Sequences: Determine if a Sequence Converges or Diverges (Example 6)

Sequences: Determine the Formula for a Given Sequence of Terms: Arithmetic and Geometric

Sequences: Find the First 5 Terms of a Sequence Given a Sequence Formula

Conic Sections: Determine the Equation for a Hyperbola Given the Foci and Eccentricity