The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.

Index T...

tailTheorem 2: Tail Of a Series
 Example 2: Tail of a Geometric Series
 Alternating Series Test
TangentDefining Other Trigonometric Functions
 Theorem 4: Integrals of Trigonometric Functions
tangent lineDefinition of Differentials
 Tangent Line and Length of Curves
 Example 2: Tangent Line of a Spiral
tangent planeThe Tangent Plane
tangent planesProblems
Taylor polynomialsTaylor polynomials
 Example 1: Find Taylor Polynomials
 Mean Value Theorem and Taylors Formula
 Example 2: MacLaurin's Formula
 Example 3: MacLaurin's Formula for f(x) = sin x
 Generalized Mean Value Theorem
 Proof Of Taylor's Formula
 Taylor Series - Definition
Taylor seriesTheorem 1
Taylor's FormulaProblems;
Telescope mirrorsExamples of Parabolas
test for convergenceProblems
The reciprocals of nonzero infinitesimalsSummary
Theorem of PythagorasLaw of Cosines
topographic mapCorollaries
total differentialExample 1: Increment and Total Differential (Product Function)
 Example 2: Increment and Total Differential (Biquadratic Function)
total differentialsProblems
transcendental functionTheorem 3:
Transfer PrincipleSummary
 I. The Extension Principle
 Application of the Principles
 Hyperreal Numbers
 Example 1 - Euler approximation
transient part of the solutionExample 6
translation of axesTranslation of Axes
 Completing the Squares
Trapezoidal ApproximationExample 2: The Length of the Path of a Ball
 Numerical Integration
 Trapezoidal Approximation
 Example 1
 Trapezoidal Rule
 Example 1 (Concluded)
Trapezoidal RuleExample 2: The Length of the Path of a Ball
 Numerical Integration
 Example 2
triange inequalityAngle Between Two Vectors - Direction Cosines
triangleRiemann Sum and Area of a Triangle
 Example 8: A Triangle's Medians Intersecting (Proof)
Triangle InequalityVector Sums - Theorem 1
 Theorem 1
trigonometric functionIntegral of a Trigonometric Function
trigonometric functionsUnit Circle, Length of an Arc, Sector
trigonometric identitiesTrigonometric Identities
trigonometric identityII. Transfer Principle
trigonometric substitutionExample 8
two variablesExample 2: Length of a Shadow (Two Variables)

Last Update: 2006-11-25