Balancing Life and Equations: The Real World with Algebra

In this episode of Your Guide to Engineering, Ashley, introduces random variables while connecting probability concepts like sample spaces and counting. She simplifies two foundational ideas in probability while weaving in her inspiring academic journey from remedial math to upper-level engineering courses. Whether you’re new to these concepts or revisiting them, this episode offers both clarity and motivation to keep learning.

In this episode of Your Guide To Engineering, we explore the incredible capacity of humans to observe and innovate — from hot air ballons to building airplanes. We reflect on the science of buoyancy, the inspiration behind aircraft design, what trees can teach us, and a corny but unforgettable coding project.

Algebra isn’t just for the classroom — it’s part of everyday life. In this episode, we explore how real-world problems, like counting apples and bananas, can help you understand equations. We also dive into some words of encouragement and share wisdom. This episode is more than a math lesson — it’s also a lesson of about growth.

In this episode of Your Guide to Engineering, your host Ashley shares her powerful and unconventional journey into the world of engineering. She breaks down the common stereotypes of engineers, emphasizing, that you don’t need to be a genius, a tech wizard, or a pop culture fanatic to belong in this field. With relatable analogies, a deep dive into different number systems like binary and hexadecimal, and personal reflections, Ashley illustrates how engineering thrives on diverse perspectives and ordinary people. If you’ve ever doubted your place in STEM, this episode is for you.

In this heartfelt and motivating intro episode, host Ashley Henriquez, an electrical engineer, shares her unconventional journey into the field of engineering. Far from the stereotypical path, Ashley opens up about dropping out of high school to support her newborn daughter, earning her GED, and navigating college while working full-time and parenting.She discovered engineering at an unconventional job — as an administrative assistant at a small engineering firm, where her curiosity and natural problem-solving abilities inspired her to pursue the field. With no strong foundation in math, she started from the basics— relearning algebra and building up to complex engineering concepts over time.The podcast intends to serve as a step-by-step guide through the essential math and technical skills needed in engineering—from algebra to advanced topics like calculus, linear algebra, and differential equations. But beyond academics, the podcast emphasizes growth in resilience, confidence, and purpose—addressing topics like imposter syndrome, burnout, and finding one's voice in engineering.The podcast is as much about becoming as it is about learning — making engineering accessible and human, especially for those starting from unconventional or challenging beginnings.