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IM

Ian Maurer

University of Oregon

Biography

I teach high school math at Cleveland High School in Portland, Oregon. During college and graduate school, I tutored all levels of math, from middle school through post-graduate work.

Education

BA Mathematics
University of Oregon
MS Master's in Education
University of Oregon

Topics Covered

Differential Equations
Introduction to Conic Sections
Vectors
Vector Functions
Geometry Basics
The Integers
Fractions and Mixed Numbers
Decimals
Percent
Equations and Inequalities
Systems of Equations and Inequalities
Graphs and Statistics
Functions
Integrals
Integration
Parametric Equations
Polar Coordinates
Integration Techniques
Improper Integrals
Limits

Ian's Textbook Answer Videos

00:46
Precalculus with Limits

The _______ vector for a line $L$ is given by $\textbf{v} =$ _______ .

Chapter 11: Analytic Geometry in Three Dimensions
Section 4: Lines and Planes in Space
IM
00:44
Precalculus with Limits

If the direction numbers $a, b,$ and $c$ of the vector $\textbf{v} = \langle a, b, c \rangle$ are all nonzero, you can eliminate the parameter to obtain the _______ _______ of a line.

Chapter 11: Analytic Geometry in Three Dimensions
Section 4: Lines and Planes in Space
IM
01:24
Precalculus with Limits

In Exercises 5-10, find a set of (a) parametric equations and (b) symmetric equations for the line through the point and parallel to the specified vector or line. (For each line, write the direction numbers as integers.)

$\quad \quad \textit{Point} \quad \quad \quad \quad \quad \quad \textit{Parallel to}$
$\quad (0, 0, 0) \quad \quad \quad \quad \quad \textbf{v} = \langle 1, 2, 3 \rangle$

Chapter 11: Analytic Geometry in Three Dimensions
Section 4: Lines and Planes in Space
IM
02:31
Precalculus with Limits

In Exercises 5-10, find a set of (a) parametric equations and (b) symmetric equations for the line through the point and parallel to the specified vector or line. (For each line, write the direction numbers as integers.)

$\quad \quad \textit{Point} \quad \quad \quad \quad \quad \quad \textit{Parallel to}$
$\quad (-4, 1, 0) \quad \quad \quad \quad \quad \textbf{v} = \frac{1}{2}\textbf{i}+\frac{4}{3}\textbf{j}-\textbf{k}$

Chapter 11: Analytic Geometry in Three Dimensions
Section 4: Lines and Planes in Space
IM
02:46
Precalculus with Limits

In Exercises 5-10, find a set of (a) parametric equations and (b) symmetric equations for the line through the point and parallel to the specified vector or line. (For each line, write the direction numbers as integers.)

$\quad \quad \textit{Point} \quad \quad \quad \quad \quad \quad \textit{Parallel to}$
$\quad (2, -3, 5) \quad \quad \quad \quad \quad x=5+2t, y=7-3t, z=-2+t$

Chapter 11: Analytic Geometry in Three Dimensions
Section 4: Lines and Planes in Space
IM
02:09
Precalculus with Limits

In Exercises 11-18, find (a) a set of parametric equations and (b) if possible, a set of symmetric equations of the line that passes through the given points. (For each line, write the direction numbers as integers.)

$(2, 0, 2), (1, 4, -3)$

Chapter 11: Analytic Geometry in Three Dimensions
Section 4: Lines and Planes in Space
IM
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