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DM

David Mccaslin

Oklahoma State University

Biography

I achieved a BS Degree in Chemical Engineering from OSU and spent nearly 30 years in the Oil Refining Industry before retiring. While in industry, I also was able to get an MBA. After driving my wife crazy at the house for a few months, she convinced me to use my math skills and love for teaching and get out of the house. So, now I am working on a Master's degree in Pure Mathematics at Oklahoma State University, teaching math courses at both OSU and Northern Oklahoma College (Stillwater) as well as a Finance course at OSU.

I always enjoy seeing students learn and grow as they reach for and achieve their life goals.

Education

BS Chemical Engineering
Oklahoma State University
MA Business
The University of Texas at San Antonio
MS Mathematics
Oklahoma State University

Topics Covered

Series
Introduction to Sequences and Series
Functions
Equations and Inequalities
Polynomials
Trigonometry
Exponential and Logarithmic Functions
Systems of Equations and Inequalities
Introduction to Matrices
Limits
Derivatives
Differentiation
Volume
Integrals
Integration
Vectors
Integration Techniques
Parametric Equations
Polar Coordinates
Linear Functions
Continuous Functions
Exponents and Polynomials
Rational Functions
Geometric Proof
Angles
Polygons
Congruent Triangles
Relationships Within Triangles
Applications of Integration
Functions
Quadratic Functions
Graphs and Statistics
Partial Derivatives

David's Textbook Answer Videos

0:00
Calculus: Early Transcendentals

The table shows the position of a motorcyclist after accelerating from rest.

(a) Find the average velocity for each time period:
(i) $ [2, 4] $ (ii) $ [3, 4] $ (iii) $ [4, 5] $ (iv) $ [4, 6] $
(b) Use the graph of $ s $ as a function of $ t $ to estimate the instantaneous velocity when $ t = 3 $.

Chapter 2: Limits and Derivatives
Section 1: The Tangent and Velocity Problems
DM
0:00
Calculus: Early Transcendentals

For the function $ f $ whose graph is given, state the value of each quantity, if it exists. If it does not, explain why.

(a) $ \displaystyle \lim_{x\to 1}f(x) $
(b) $ \displaystyle \lim_{x\to 3^-}f(x) $
(c) $ \displaystyle \lim_{x\to 3^+}f(x) $
(d) $ \displaystyle \lim_{x\to 3}f(x) $
(e) $ f(3) $

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
DM
05:02
Calculus: Early Transcendentals

For the function $ h $ whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

(a) $ \displaystyle \lim_{x\to -3^-}h(x) $
(b) $ \displaystyle \lim_{x\to -3^+}h(x) $
(c) $ \displaystyle \lim_{x\to -3}h(x) $
(d) $ h(-3) $
(e) $ \displaystyle \lim_{x\to 0^-}h(x) $
(f) $ \displaystyle \lim_{x\to 0^+}h(x) $
(g) $ \displaystyle \lim_{x\to 0}h(x) $
(h) $ h(0) $
(i) $ \displaystyle \lim_{x\to 2}h(x) $
(j) $ h(2) $
(k) $ \displaystyle \lim_{x\to 5^+}h(x) $
(l) $ \displaystyle \lim_{x\to 5^-}h(x) $

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
DM
04:18
Calculus: Early Transcendentals

For the function $ g $ whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

(a) $ \displaystyle \lim_{t\to 0^-}g(t) $
(b) $ \displaystyle \lim_{t\to 0^+}g(t) $
(c) $ \displaystyle \lim_{t\to 0}g(t) $
(d) $ \displaystyle \lim_{t\to 2^-}g(t) $
(e) $ \displaystyle \lim_{t\to 2^+}g(t) $
(f) $ \displaystyle \lim_{t\to 2}g(t) $
(g) $ g(2) $
(h) $ \displaystyle \lim_{t\to 4}g(t) $

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
DM
0:00
Calculus: Early Transcendentals

For the function $ A $ whose graph is shown, state the following.

(a) $ \displaystyle \lim_{x\to -3}A(x) $
(b) $ \displaystyle \lim_{x\to 2^-}A(x) $
(c) $ \displaystyle \lim_{x\to 2^+}A(x) $
(d) $ \displaystyle \lim_{x\to -1}A(x) $
(e) The equations of the vertical asymptotes

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
DM
0:00
Calculus: Early Transcendentals

A patient receives a 150-mg injection of a drug every 4 hours. The graph shows the amount $ f(t) $ of the drug in the bloodstream after $ t $ hours. Find
$ \displaystyle \lim_{t\to 12^-}f(t) $ and $ \displaystyle \lim_{t\to 12^+}f(t) $
and explain the significance of these one-sided limits.

Chapter 2: Limits and Derivatives
Section 2: The Limit of a Function
DM
1 2 3 4 5 ... 92

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