Diane Koenig

Northern Illinois University
Mathematics Professor, Dual Credit

Biography

I became a full-time faculty member in the Art, Music, and Math department at Rock Valley College (RVC) upon the completion of my masters degree in applied mathematics in 1984. While at RVC I was awarded the Faculty of the Year award at RVC, Excellence in Teaching Award from the Illinois Math Association of Community Colleges (IMACC), and the Teaching Excellence Award from the American Mathematical Association of Two Year Colleges (AMATYC).
My teaching responsibilities at Rock Valley College included courses spanning from basic algebra through differential equations and linear algebra. I taught in all formats from face to face, hybrid, and online.
In the early days of video offerings I created videos and uploaded them to iTunesU. When YouTube was becoming popular I transitioned to YouTube where I have a channel that contains the videos I have created. That channel is under my name Diane R Koenig. I first created it as out of class time help for my f2f students but with more and more offerings going to online I have increased the number of videos I created and uploaded to have a more comprehensive coverage of topics.
On June 30, 2020 I retired from Rock Valley College and was hired by Stillman Valley High School to continue to teach the dual credit Calculus and Statistics courses through RVC.

Education

MS Applied Mathematics
Northern Illinois University

Educator Statistics

Numerade tutor for 5 years
174 Students Helped

Topics Covered

Applications of the Derivative
Unlocking the Power of Confidence Intervals: A Comprehensive Guide
Maximizing Accuracy with Effective Sampling and Data Analysis
The Central Limit Theorem: Understanding Statistical Sampling
Breaking Limits: Unlock Your Potential with Our Expert Solutions
Mastering Integrals: Tips and Tricks for Calculus Success
Integration
Mastering Integration Techniques for Optimal Results
Differential Equations Made Simple: Expert Tips & Resources
Exploring the World of Derivatives: A Comprehensive Guide
Stand Out with Differentiation Strategies | Boost Your Business

Diane's Textbook Answer Videos

10:17
Calculus Early Transcendental Functions

Utility to sketch the intersecting graphs of the equations and show that they are orthogonal. [Two graphs are orthogonal if at their point(s) of intersection, their tangent lines are perpendicular to each other.]
$$\begin{aligned}
&2 x^{2}+y^{2}=6\\
&y^{2}=4 x
\end{aligned}$$

Chapter 3: Differentiation
Section 5: Implicit Differentiation
Diane Koenig
05:10
Calculus Early Transcendental Functions

Find the critical numbers of the function.
$$\begin{aligned}&f(\theta)=2 \sec \theta+\tan \theta\\&0<\theta<2 \pi\end{aligned}$$

Chapter 4: Applications of Differentiation
Section 1: Extrema on an Interval
Diane Koenig
04:03
Calculus Early Transcendental Functions

Find the critical numbers of the function.
$$g(x)=4 x^{2}\left(3^{x}\right)$$

Chapter 4: Applications of Differentiation
Section 1: Extrema on an Interval
Diane Koenig
05:49
Calculus Early Transcendental Functions

Find the absolute extrema of the function on the closed interval.
$$y=3 x^{2 / 3}-2 x,[-1,1]$$

Chapter 4: Applications of Differentiation
Section 1: Extrema on an Interval
Diane Koenig
04:39
Calculus Early Transcendental Functions

Find the absolute extrema of the function on the closed interval.
$$g(x)=\sqrt[3]{x},[-8,8]$$

Chapter 4: Applications of Differentiation
Section 1: Extrema on an Interval
Diane Koenig
1 2 3 4 5 ... 28

Diane's Quick Ask Videos

08:02
Calculus 1 / AB

See photo below

Diane Koenig
01:16
Intro Stats / AP Statistics

What is the point estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)?

Diane Koenig
03:31
Calculus 1 / AB

In Exercises $7 - 14 ,$ determine the limit by substitution. Support graphically.
$$lim _ { x
ightarrow 1 / 2 } int x$$

Diane Koenig
02:33
Intro Stats / AP Statistics

(a) Beethoven wrote 9 symphonies and Mozart wrote 27 piano concertos. If a university radio, station announcer wishes to play first a Beethoven symphony and then a Mozart concerto, in how many ways can this be done?
(b) The station manager decides that on each successive night $(7$ days per week), a Beethoven symphony will be played, followed by a Mozart piano concerto, followed by a Schubert string quartet (of which there are $15 ) .$ For roughly how many years could this policy be continued before exactly the same program would have to be repeated?

Diane Koenig
02:21
Intro Stats / AP Statistics

You are looking at a computer printout of 100 test scores, which have been
converted to standard units. The first 10 entries are
$$\begin{array}{lllllllll}{-6.2} & {3.5} & {1.2} & {-0.13} & {4.3} & {-5.1} & {-7.2} & {-11.3} & {1.8} & {6.3}\end{array}$$
Does the printout look reasonable, or is something wrong with the computer?

Diane Koenig
03:35
Algebra

123 Savings and Loan charges a monthly fee of $\$ 8$ on checking accounts and an overdraft protection fee of $\$ 33 .$ Neela's check register showed she had a balance of $\$ 456$ when she wrote a check for $\$ 312 .$ Three days later she realized her check register had an error and she actually only had $\$ 256 .$ So she transferred $\$ 250$ into her checking account. The next day, her monthly account statement was sent to her. What was the balance on her statement?

Diane Koenig
1 2