Intro and Example 1 Example 2 Example 3 Example 4 Example 5 Self-check
Author: Lisa Oberbroeckling
I am a mathematician and faculty member in the Mathematics and Statistics Department at Loyola University Maryland in Baltimore. I have my B.S. in mathematics from the University of Iowa and my M.S. and Ph.D in mathematics from the University of Oregon. My dissertation is entitled "Generalized Inverses in Certain Banach Algebras" advised by Dr. Bruce Barnes. My research is currently in applying my functional analysis background to numerical analysis: finite-element methods for solving systems of differential equations in collaboration with Dr. Christos Xenophontos (University of Cyprus). I have designed and taught a course in MATLAB and I know have a published textbook Programming Mathematics Using MATLAB.
3.6 Area, Volume, and Average Value
Note that volumes of revolution was skipped. Area Between Curves Intro and Example 1 Area Example 2 Average Value Intro Average Value Example 1 Average Value Example 2
3.3 Antiderivatives of Formulas
Integral Facts Example 1 Example 2 Example 3 Example 4
3.2 FTC and Antidifferentiation
Example 1 Fundamental Theorem of Calculus (FTC), Part 1 Fundamental Theorem of Calculus FTC, Part 2 Example 2 Example 3 Example 4 Self-Checks
3.1 The Definite Integral (Area)
Total Distance and Area under the Curve Intro and Example 1 Example 2 Example 3 Self-Checks
3.1 The Definite Integral (Definition)
Intro Example 1 Definition of Definite Intregral Net Change Intro Example 2 Example 3 Example 4 Self-Checks
2.9 Optimization, Part 2
Average Cost Intro video Example 1 AC and MC Example 2 Example 3 Self-Checks
2.10 Elasticity
From the section entitled “Other Applications” we focus on the application of Elasticity of Demand. Intro Example 1 Example 2 Example 3 Self-Checks
Redlining
This unit began in my Applied Calculus (MA151) Messina course at Loyola University Maryland. I was inspired by the video (below) that I watched at a workshop given by Baltimore Racial Justice Action (BRJA) at Loyola. I’ve since incorporated it into the summer online Applied/Business Calculus course. There are different ways to incorporate it, and… Continue reading Redlining
2.9 Applied Optimization
Optimization Word Problem: Example 1 Cost and Revenue Graphs Marginal Cost and Marginal Revenue Example 2 Example 3 Example 4 Example 5 Self-Checks