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Vectors: MATH 171 Problems 1 & 2 thumbnail

Vectors: MATH 171 Problems 1 & 2

Proving associative and scalar multiplication properties for vectors

Absolute ValueAssociative PropertyEquationMagnitudeNormScalarVector
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Limits: MATH 171 Problem 7 thumbnail

Limits: MATH 171 Problem 7

Proving a property for limits of sums using the epsilon-delta definition

Absolute ValueEpsilon-Delta Definition of a LimitLimitLimit Properties
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Limits: MATH 171 Problems 8 & 9 thumbnail

Limits: MATH 171 Problems 8 & 9

Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.

Absolute ValueCosineEpsilon-Delta Definition of a LimitLimitLimit PropertiesScalarSquare RootSqueeze (or Sandwich) TheoremTrigonometry
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Precise Definition of a Limit: MATH 171 Problems 3 & 4 thumbnail

Precise Definition of a Limit: MATH 171 Problems 3 & 4

Proving limits using the epsilon-delta definition

Absolute ValueEpsilon-Delta Definition of a LimitLimitLine
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Precise Definition of a Limit: MATH 171 Problems 5 & 6 thumbnail

Precise Definition of a Limit: MATH 171 Problems 5 & 6

Proving limits using the epsilon-delta definition

Absolute ValueEpsilon-Delta Definition of a LimitInfinite LimitLimitLimit from the Right
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Differentiation Formulas: MATH 171 Problems 4 & 5 thumbnail

Differentiation Formulas: MATH 171 Problems 4 & 5

Using the limit definition to find a derivative and proving the power rule

Absolute ValueDerivativeDerivative RulesDifference QuotientLimit Definition of the DerivativePiecewise FunctionPower FunctionPower Rule
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Vectors: MATH 151 J.1 Problems 1 & 2 thumbnail

Vectors: MATH 151 J.1 Problems 1 & 2

Basic Vector Operations such as Addition, Subtraction, and Scalar Multiplication

Absolute ValueScalarVector
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

Absolute ValueAsymptoteContinuousContinuous at x=aDiscontinuityEquationGraphHorizontal AsymptoteInfinityIntermediate Value TheoremLeft LimitLimitOne-Sided LimitPiecewise FunctionRational FunctionVectorVertical Asymptote
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Absolute ValueContinuous FunctionDerivativeDifferentiableDifferentiationDistance TraveledEquationGraphLimitLinePiecewise FunctionPolynomialProduct RuleRational FunctionSlopeSpeedTangentTangent LineVectorVelocity
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