Daily Archives: August 14, 2026

8 posts

Building and Organizing a PLEM Academy Membership Website in WordPress

What Is PLEM Academy and How the Research Program Works PLEM Academy is built around research participation, STEM preparation, technical communication, professional software skills, independent study, and long-term resume development. This introduction explains how the website, lessons, research sessions, books, certificates, and member-only materials fit together. Building the PLEM Academy […]

Introduction to Related Rates in Differential Calculus | Calculus 1 Problem Solving [SAMPLE Lesson]

Related Rates in Differential Calculus, Mathematical Communication, and STEM Research This PLEM Academy research session moves between professional mathematical communication and differential calculus, with a focus on related rates. The larger lesson is how to turn a mathematical problem into an organized, repeatable algorithm while developing the software, research, and […]

Live PLEM Academy Research Session | Differential Calculus, Derivative Notation & STEM Research

Optimization in Differential Calculus and Preparing for a STEM Degree This PLEM Academy research session combines college preparation, research participation, professional skill development, and a practical introduction to optimization in differential calculus. The larger goal is not simply to solve isolated problems, but to learn how to recognize mathematical structures,...

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LIVE Session | Differential Calculus, Derivative Notation & STEM Research

How to Prepare for College Calculus, STEM Research, and Your Future Career A college STEM education is not simply about getting answers to homework problems. It is about learning the language of mathematics and science, becoming self-sufficient, developing professional skills, and preparing yourself for the research and employment opportunities that...

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ODE – Dirac Delta Function and Unit Impulse Function

ODE – Dirac Delta Function and Unit Impulse Function QUESTION [11] 7.6.7 Solve the second order ODE using method of Laplace Transform, ANSWER Before we begin investigating this unique function, we must acknowledge that it is an operator and all operators have instructions; without the instructions we cannot perform said...

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