• #### The Number e and the Natural Logarithm - Concept

##### Math›Precalculus›Exponential and Logarithmic Functions
How the number e is defined.
• #### The Number e and the Natural Logarithm - Problem 3

##### Math›Precalculus›Exponential and Logarithmic Functions
How to change any exponential function to base e.
• #### The Number e and the Natural Logarithm - Problem 2

##### Math›Precalculus›Exponential and Logarithmic Functions
How to evaluate natural logarithms of e to a power.
• #### The Number e and the Natural Logarithm - Problem 1

##### Math›Precalculus›Exponential and Logarithmic Functions
How the natural logarithm is defined.
• #### Multiplying Complex Numbers - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to multiply two complex numbers in trigonometric form.
• #### The Euler Formula - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to derive our method for multiplying complex numbers and DeMoivre's Theorem using Euler's Formula.
• #### The Euler Formula - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from the exponential form to rectangular form.
• #### The Euler Formula - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from rectangular form to the exponential form.
• #### The Euler Formula - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to derive two trigonometric identities using Euler's Formula.
• #### Derivatives of Exponential Functions - Problem 2

##### Math›Calculus›The Derivative
How to use the derivative of an exponential function to find an equation of the tangent line to the graph of f(x) = e^x.
• #### Families of Polar Curves: Conic Sections - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph the polar curve r = 6/(1 + e cos*theta) when -1 < e < 1.
• #### Families of Polar Curves: Conic Sections - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph the polar curve r = 6/(1 + E cos*theta) when e > 1 or < ?1.
• #### Families of Polar Curves: Conic Sections - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to describe the graph of a rotated conic r = 6/(1 + e cos(theta + h)
• #### Derivatives of Logarithmic Functions - Problem 3

##### Math›Calculus›The Derivative
How to use the change of base formula to compute the derivative of log functions of any base.
• #### Derivatives of Logarithmic Functions - Concept

##### Math›Calculus›The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
• #### Geometric Sequences - Problem 5

##### Math›Precalculus›Sequences and Series
Finding the tenth term from a number list of a geometric sequence.
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• #### Geometric Sequences - Problem 5

##### Math›Algebra 2›Sequences and Series
Finding the tenth term from a number list of a geometric sequence.
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