Vernon Hills Math & Physics Tutor

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Vernon Hills Math & Physics Tutor Private Math, Physics tutor. AP Calculus AB/BC, Multivariable Calculus (3), AP Physics 1/2/C, Algebra 1, Algebra 2, Geometry, Geometry Honors, Precalculus

Terrible pictures, but I quite accidentally stepped outside and saw the lunar eclipse tonight!
08/28/2026

Terrible pictures, but I quite accidentally stepped outside and saw the lunar eclipse tonight!

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01/02/2026

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In 1843, she wrote the world's first computer program—for a computer that didn't exist and wouldn't exist for another 100 years.
London, 1815
Ada Lovelace was born Augusta Ada Byron on December 10, 1815, the daughter of one of England's most famous poets and one of its most unusual mothers.
Her father was Lord Byron—the romantic poet, the scandalous celebrity, the man whose poetry made women swoon and whose personal life shocked Victorian society.
Her mother was Annabella Milbanke—mathematician, moralist, deeply committed to education and rationality.
The marriage lasted barely a year. Byron left when Ada was one month old. Ada never saw him again—he died in Greece when she was eight.
Annabella raised Ada with a specific purpose: to ensure she did not inherit her father's "dangerous" imagination and romantic temperament.
So she drilled Ada in mathematics. Logic. Science. Discipline.
It didn't work quite as planned.
Ada inherited her father's imagination and her mother's precision—a rare combination in any era, but especially in one that expected women to marry, embroider, and otherwise ornament drawing rooms rather than think.
The Meeting That Changed Everything
In 1833, when Ada was 17, she attended a demonstration by inventor Charles Babbage.
Babbage was obsessed with a machine he called the Difference Engine—a mechanical calculator designed to compute mathematical tables automatically. He'd already built a working prototype, and he was planning something even more ambitious: the Analytical Engine.
Most people who saw Babbage's designs saw gears, levers, and complicated mechanical systems. Interesting, perhaps, but ultimately just fancy calculators.
Ada saw something else entirely.
She saw a machine that could process symbols, not just numbers. A machine that could follow instructions and manipulate abstract concepts. A machine that could, theoretically, represent anything—music, language, images—if you could encode it properly.
She saw, in other words, the fundamental concept of modern computing—a century before computers existed.
The Collaboration
Ada and Babbage began a years-long intellectual collaboration. She studied mathematics intensively, working with tutors to master advanced concepts. She corresponded with Babbage about the Analytical Engine's potential.
In 1842, Italian mathematician Luigi Menabrea published an article in French about Babbage's Analytical Engine. Babbage asked Ada to translate it into English.
She did—and then she added her own notes.
These weren't minor footnotes. They were extensive annotations labeled A through G, ultimately longer than the original article itself.
Note G: The First Algorithm
In Note G, Ada Lovelace did something unprecedented:
She described a method for the Analytical Engine to calculate Bernoulli numbers—a sequence of rational numbers used in number theory and analysis.
She laid out, step-by-step, how the machine would process this calculation. What modern programmers would call an algorithm.
This is considered the first computer program ever written—a set of instructions for a machine to execute automatically.
But Ada went further than just creating an algorithm.
The Vision Beyond Calculation
Ada Lovelace understood something that even Charles Babbage didn't fully grasp:
The Analytical Engine wasn't just a calculator. It was a general-purpose computing machine.
In her notes, she wrote:
"The Analytical Engine might act upon other things besides number... the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent."
She envisioned a machine that could manipulate symbols representing anything—numbers, yes, but also letters, musical notes, visual patterns. Anything that could be encoded.
She understood the concept of what we now call software—that the same machine could perform different tasks by following different instructions.
She even speculated about machine creativity and artificial intelligence, while simultaneously noting the machine's limitations—it could only do what it was instructed to do, it couldn't originate anything on its own.
This was 1843.
Photography was barely a decade old. Darwin hadn't published Origin of Species yet. The telegraph was just being developed.
And Ada Lovelace was describing programmable computers and theorizing about their potential to process any kind of symbolic information.
The Dismissal
Ada's vision was so far ahead of its time that most people simply didn't understand it.
Her notes were published in 1843 in an English scientific journal. Some people read them. Most didn't grasp their significance.
The Analytical Engine was never built—Babbage couldn't secure funding, and the mechanical technology of the era couldn't reliably manufacture the thousands of precision parts required.
So Ada's algorithm remained theoretical. Her vision remained largely unrecognized.
She continued her mathematical studies, but struggled with illness. She died of uterine cancer in 1852, at just 36 years old—the same age her father had been when he died.
The Century of Silence
For over a hundred years, Ada Lovelace's contributions were largely forgotten or minimized.
When mentioned at all, she was usually described as Babbage's assistant, a talented amateur, a woman who'd been useful to a male genius but hadn't contributed original ideas.
Her notes were available in archives. Anyone could have read them. But no one quite understood their significance until computers actually began to exist.
The 20th Century Rediscovery
In the 1940s and 1950s, as the first electronic computers were being developed—ENIAC, UNIVAC, early programming languages—engineers began looking back at the history of computational thinking.
And they discovered Ada Lovelace's notes.
They realized that this Victorian-era woman, writing about a mechanical computer that was never built, had described their entire field a century too soon.
She'd understood algorithms. She'd grasped the concept of software separate from hardware. She'd envisioned general-purpose computing. She'd theorized about symbolic manipulation beyond pure calculation.
In 1979, the U.S. Department of Defense named a new programming language Ada in her honor—recognizing her as the first computer programmer.
What She Proved
Ada Lovelace proved that imagination is its own kind of science.
That you don't need to touch hardware to understand software.
That theoretical vision can be as important as practical engineering.
That women in the 19th century were capable of the same abstract, complex, visionary thinking as men—they were just rarely given the education, opportunity, or recognition.
The Quiet Irony
There's a profound irony in Ada Lovelace's story:
A woman from the Victorian age, constrained by corsets and social expectations, saw the digital age coming.
A woman who never touched a keyboard became the first computer programmer.
A woman whose mother tried to suppress her "dangerous" imagination used that imagination to envision a technology that would transform human civilization.
A woman who died at 36, largely unrecognized, became immortalized in the field she helped found.
The Daughter of Byron
Annabella Milbanke tried to raise Ada without her father's romantic imagination.
But in the end, Ada needed both: Byron's vision and Annabella's mathematics.
The poetry and the logic. The imagination and the precision.
That combination—the ability to dream beyond the possible and the technical skill to describe it rigorously—is what made her insights revolutionary.
The Legacy
Today, Ada Lovelace is celebrated annually on Ada Lovelace Day (second Tuesday of October)—a day recognizing women in STEM fields.
She's taught in computer science courses as the first programmer.
She's cited in discussions of AI, creativity, and the philosophy of computing.
But perhaps most importantly, she's proof that the future often begins in the mind of someone the world isn't ready to believe.
Ada Lovelace (1815-1852)
Daughter of a poet and a mathematician.
First computer programmer.
Visionary who saw software before hardware existed.
Woman who understood in 1843 what most people wouldn't grasp until 1943.
She wrote an algorithm for a machine that didn't exist.
She envisioned computers creating music and art.
She understood symbolic manipulation and general-purpose computing.
She died unrecognized and was rediscovered a century later.
In 1843, she wrote the world's first computer program—for a computer that wouldn't exist for another 100 years.
That's not just impressive.
That's visionary.
And it's a reminder: the people who see the future first are often the ones dismissed as "too imaginative" by those who can only see the present.
Ada Lovelace was too imaginative for her time.
Which means she was exactly imaginative enough for ours.

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12/31/2025

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She was banned from university for being a woman—so she turned her kitchen sink into a laboratory that changed physics forever.
Agnes Pockels stood at her family's kitchen sink in Brunswick, Germany, watching soap spread across dirty dishwater, and saw what no scientist had yet understood. It was 1880, and while her younger brother attended university to study physics, Agnes—equally brilliant, equally curious—was confined to domestic duties because German universities refused to admit women.
Most people would have accepted this injustice and moved on. Agnes got creative.
She noticed that oil films on water behaved in peculiar ways. When she cleaned dishes, she observed how grease spread, contracted, and changed the water's surface. These weren't idle observations—they were the beginning of systematic scientific inquiry conducted with whatever tools a household provided.
With a tin trough salvaged from the kitchen, a balance made from buttons and thread, and barriers crafted from strips of metal, Agnes built what would become known as the "Pockels trough"—an apparatus so elegantly designed that modified versions are still used in laboratories today. She measured surface tension with a precision that stunned professional scientists, documenting how different substances affected water surfaces, how temperature changed molecular behavior, how contamination altered results.
For a decade, she experimented in secret. No laboratory. No funding. No academic credentials. Just relentless curiosity and the kind of ingenuity that necessity breeds. She filled notebooks with meticulous observations, developing theories about surface chemistry that wouldn't be "officially discovered" by male scientists for years to come.
By 1891, at twenty-eight, Agnes had accumulated enough groundbreaking data that she decided to take a risk. She wrote a letter to Lord Rayleigh, one of the most respected physicists in the world, describing her kitchen experiments. She had no reason to believe he would take her seriously—a German housewife with no university degree, no laboratory affiliation, claiming to have solved problems that had puzzled trained scientists.
Lord Rayleigh read her letter and immediately recognized genius.
He didn't just respond with encouragement. He submitted her findings directly to Nature, one of the world's most prestigious scientific journals, with a note stating: "I shall be obliged if you can find space for the accompanying translation of an interesting letter which I have received from a German lady, who with very homely appliances has arrived at valuable results respecting the behavior of contaminated water surfaces."
Her paper was published in March 1891, breaking barriers in multiple ways—a woman, without formal education, publishing in a major scientific journal about work done in a kitchen. The scientific community couldn't deny the precision of her data or the importance of her discoveries.
Agnes had invented the foundational technique for studying monomolecular layers—thin films just one molecule thick. Her work became the basis for surface chemistry, a field essential to everything from detergents to drug delivery systems, from industrial coatings to biological membranes. Scientists who would later win Nobel Prizes for related work built on the foundation she laid at her kitchen sink.
She continued her research for decades, eventually receiving honorary recognition from German scientific societies—acknowledgment that came only after her methods had become indispensable to modern chemistry. By the time universities finally admitted women, Agnes's kitchen experiments had already rewritten textbooks.
What Agnes Pockels proved wasn't just about surface tension. She demonstrated that brilliance doesn't require permission, that systematic observation matters more than expensive equipment, and that the questions we ask are more important than the credentials after our name.
The next time someone tells you that you need the "right" background, the "proper" resources, or the "correct" qualifications to pursue your intellectual passions, remember the woman who changed physics with dishwater and a tin trough.
Barriers are real. But they're not impenetrable to someone determined enough to find another way.

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11/08/2025

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Happy birthday to Marie Sklodowska-Curie, born on this day in 1867 in Warsaw, Poland. In 1903, she became the first woman to win a Nobel Prize, for the discovery of radium and polonium. Soon after, she became the first female professor at the University of Paris. In 1911 she won another Nobel Prize, this time in chemistry, for producing radium as a pure metal and for further studies on radioactive elements.

Photo: Generalstabens Litografiska Anstalt Stockholm, PD, Wikimedia Commons

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09/29/2025

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In the 1870s, Williamina Fleming left Scotland for the U.S. with her husband. Soon after, he abandoned her — leaving her alone, in her early twenties, and expecting a child. To support herself, Williamina found work as a housekeeper for Edward Pickering, Director of the Harvard College Observatory.
Frustrated one day with his male assistants, Pickering is said to have remarked: “My Scottish maid could do better.” He gave Williamina a chance — and she proved him right.
In 1881, Williamina became the first of the Harvard Computers — a team of women who mapped the stars by examining glass plate photographs of the night sky. Within a few years, she rose to curator of astronomical photographs, overseeing a dozen women and leading critical research.
Williamina discovered hundreds of stars, nebulae, and novae, and cataloged thousands more. She received awards and global recognition, transforming a life of hardship into one of scientific achievement.
Her story is a reminder: brilliance can shine from the most unexpected places — if given the chance.

~Old Photo Club

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