Dale Sanford

Adrian College

Biography

I just recently graduated from Adrian College with degrees in math and physics. I will soon begin studying Space Sciences at Florida Tech. For three years, I have been tutoring, and I'm eager to help more! In my course of study, I've taken a great variety of math classes, from statistics to calculus, and would love to share my skills with others. Aside from working for Numerade, I'd like to someday use my skills at NASA and help put astronauts into orbit. I hope you will find my videos useful!

http://adrian.edu/academics/academic-departments/mathematics/

Education

BA Mathematics

Adrian College

BS Physics

Adrian College

Topics Covered

Integrals

Vectors

Vector Functions

Trigonometry

Algebra Topics That are Reviewed at the Start of the Semester

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Graphs and Statistics

Functions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

Complex Numbers

Polynomials

Systems of Equations and Inequalities

The Language of Algebra

Linear Functions

Quadratic Functions

Introduction to Trigonometry

Introduction to Combinatorics and Probability

Sequences

Introduction to Sequences and Series

Whole which of Numbers

An Introduction to Geometry

Series

Ratio, Proportion, and Measurement

Percent

Geometric Proof

Similarity

Area and Perimeter

Rational Functions

Introduction to Algebra

Algebra and Trigonometry

Introduction to Matrices

Exponential and Logarithmic Functions

Derivatives

Differentiation

The Integers

Graph Linear Functions

Write Linear Equations

Integration

Integration Techniques

Parametric Equations

Polar Coordinates

Functions

Limits

Continuous Functions

Applications of the Derivative

Work

Kinetic Energy

Potential Energy

Energy Conservation

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Introduction to Conic Section

Applications of Trigonometric Functions

Graphing Trigonometry Functions

Matrices

Dale's Textbook Answer Videos

Calculus: Early Transcendentals

(a) Graph the conics $ r = ed/(1 + e \cos\theta) $ with $ e = 1 $ and various values of $ d $. How does the value of $ d $ affect the shape of the conic?
(b) Graph these conics for $ d = 1 $ and various values of $ e $. How does the value of $ e $ affect the shape of the conic?

Chapter 10: Parametric Equations and Polar Coordinates

Section 6: Conic Sections in Polar Coordinates

Calculus: Early Transcendentals

The orbit of Mars around the sun is an ellipse with eccentricity $ 0.093 $ and semimajor axis $ 2.28\;X\;10^8 $ km. Find a polar equation for the orbit.

Chapter 10: Parametric Equations and Polar Coordinates

Section 6: Conic Sections in Polar Coordinates

Thomas Calculus

Mass of a wire Find the mass of a wire that lies along the curve
$\mathbf{r}(t)=\left(t^{2}-1\right) \mathbf{j}+2 t \mathbf{k}, 0 \leq t \leq 1,$ if the density is $\delta=(3 / 2) t$

Chapter 16: Integrals and Vector Fields

Section 1: Line Integrals

For the following exercises, simplify the given expression.
$$
\frac{\tan \left(\frac{3}{2} x\right)-\tan \left(\frac{7}{5} x\right)}{1+\tan \left(\frac{3}{2} x\right) \tan \left(\frac{7}{5} x\right)}
$$

Chapter 7: Trigonometric Identities and Equations

Section 2: Sum and Difference Identities

For the following exercises, find the requested information.
Given that $\sin a=\frac{4}{5},$ and $\cos b=\frac{1}{3},$ with $a$ and $b$ both in the interval $\left[0, \frac{\pi}{2}\right),$ find $\sin (a-b)$ and $\cos (a+b)$

Chapter 7: Trigonometric Identities and Equations

Section 2: Sum and Difference Identities

For the following exercises, find the exact value of each expression.
$$
\cos \left(\cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)+\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)\right)
$$

Chapter 7: Trigonometric Identities and Equations

Section 2: Sum and Difference Identities

1 2 3 4 5 ... 335