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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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Vector Functions: MATH 171 Problems 1 & 2 thumbnail

Vector Functions: MATH 171 Problems 1 & 2

Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

ParallelParameterizationParametric EquationsRational FunctionUnit CircleVectorVector Function
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Derivatives and Applications: MATH 171 Problems 7 & 8 thumbnail

Derivatives and Applications: MATH 171 Problems 7 & 8

Calculating slopes of tangent lines to parametric curves

CosineDerivativeLimitLimit from the LeftLimit from the RightLimit Involving InfinityParametric EquationsPerpendicularPolynomialProduct RuleSineTangent LineVectorVector Derivative
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Sequences thumbnail

Sequences

An introduction to sequences and their limits along with the limit of recurrence equations

Convergent SequenceDivergent SequenceEpsilon-Delta Definition of a LimitFixed PointLimitLimit of a SequenceMATH 147Recurrence EquationRecurrence RelationSequence
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Recursions Example thumbnail

Recursions Example

Solving a population grown example on recurrence equations

Exponential FunctionMATH 147Recurrence EquationRecurrence RelationRecursive SequenceReproductive Rate
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Recursions thumbnail

Recursions

Explaining the definition of a recurrence equation, ratio of successive population, and the reproductive rate

MATH 147Recurrence EquationRecurrence RelationRecursive SequenceReproductive RateSuccessive Population Ratio
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Population Modeling with Recursions thumbnail

Population Modeling with Recursions

Explaining density-dependent population growth, difference equations, the Beverton-Holt Model, and Discrete Logistic Equations

Beverton-Holt ModelDensity-Dependent Population GrowthDifference EquationsDiscrete Logistic EquationsDrug Absorption ModelMATH 147Recurrence EquationRecurrence RelationRecursive Sequence
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Population Modeling with Recursions Example 1 Difference Equation thumbnail

Population Modeling with Recursions Example 1 Difference Equation

Solving a word problem using a density-dependent population model with a difference equation

Density-Dependent Population GrowthDifference EquationsMATH 147Recurrence EquationRecurrence RelationRecursive Sequence
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Population Modeling with Recursions Example 3 Discrete Logistic Equation thumbnail

Population Modeling with Recursions Example 3 Discrete Logistic Equation

Solving a word problem about density-dependent population growth using a discrete logistic equation

Density-Dependent Population GrowthDiscrete Logistic EquationsMATH 147Recurrence EquationRecurrence RelationRecursive Sequence
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