Year Four

Mon-Wed-Fri

Tue-Thu

Mathematics I

Calculus I

The text here is Courant's Calculus I and it in itself exceeds what is generally taught in undergraduate Calculus. The first semester covers chapters 1-5. The second covers chapters 6, 8-10. Each chapter includes an appendix of deeper study, which would be included as the understanding of the students allowed.

Mathematics II

Linear Algebra

This course is often the first college course requiring proofs, taught as a kind of matrix arithmetic and analysis. Here, having plenty of experience with proofs in Euclid, we can show it for the more abstract subject that it is and keep everything within reach of the students' understanding by restricting ourselves to spaces of two and three dimensions where the matrix calculations are not time-consuming and the additional ideas of n-dimensional spaces can be put off for later study by those who actually choose to learn about them.

History

Decline of the West

This book, written in the aftermath of World War I, was transforming the academic world in all disciplines when World War II intervened. Following that war, reaction against any thought coming from a German-speaking source (Spengler was Austrian) was rejected. Here we have another substantial road not taken in our study of history, culture, and society. You could probably get four years of mileage for the classroom out of this book without effort.

Thought

The Blue and Brown Books

Deschooling Society

Two Essays on Education

Wittgenstein was unique in his pursuit of critical philosophy. A mere perusal of his works reveals that he always desired the truth and a complete understanding and never claimed to have more of either than he could demonstrate. The first semester's two short texts by him, written as a guide for his own students, reveal his method. They give us a starting point for our own original investigations and one of the world's best examples of intellectual honesty. The second semester's two short texts by Ivan Illich give us a basis for exercising this method by examining public education through critical philosophy.

Long Narrative

The Possessed

This book, like The Idiot, is in part Dostoevsky's reaction to the growing socialism and nihilism (with its terrorist acts) that appeared in Russia and Europe in his time. It allows us to expand our study into Russia and further fills out the picture of how the 20th century was formed.

Humanity

My Own Life

This is a very colorful autobiography of another unique individual. My personal subtitle for this book is "How the Smartest Man in the World Found Jesus, Was Saved, and Still Had Sixteen Teeth." Cardano was not a modest man. But he is a wonderful means of expanding the Renaissance as he was a doctor, mathematician, scientist, rogue, and an intellectual-property thief.


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