In the beginning the Professor presented himself to the students and the students were without knowledge, and void, and darkness upon the face of the class. And the Professor paced before the front of the class.
And the Professor said, "Please, let there be intelligence." And there was intelligence.
And the Professor saw the intelligence, that it was good; and the Professor divided the intelligent from the stupid. And the Professor called the intelligent "those with the necessary prerequisites" and the stupid he called, "the luck of the draw."
And from 8:00 a.m. to 9:00 a.m. was the first day.
And the Professor said, "Let there be Differential Equations in the midst of the class, and let it divide the knowledge from the ignorance."
And the Professor presented Differential Equations, and divided the nonlinear equations from the linear equations, and it was so.
And the Professor called the result one lesson.
And from 8:00 a.m. to 9:00 a.m. was the second day.
And the Professor said, "Let Cauchy's Equation appear, and Bernoulli's and Ricatti's equations. And let the equations of the first order be gathered into one place, and let the higher order equations appear." And it was so.
And the Professor called most of the theorems trivial and the corollaries immediate; and the Professor saw that it was good.
And the Professor said, "Let the students bring forth homework, and proofs by contradiction, and the premises yielding conclusions after their own kind, whose results are in the text within the class." And it was so.
And the class brought forth homework, and proofs yielding results after their kind, and premises yielding conclusions, whose results were in the text, after their kind; and the Professor saw that it was somewhat passable.
And from 8:00 a.m. to 9:00 a.m. was the third day.
And the Professor said, "Let there be Power Series, and Frobenius Series. Let there be indicial equations and recurrence relations and let there be Bessel's Functions and Legendre's Polynomials ... and Hermite Polynomials and Laguerre Polynomials, to give memorization to the students." And it was so.
And the Professor proved two great theorems; the greater theorem to rule existence and the lesser to rule uniqueness; He proved lemmas also.
And the Professor presented them to the class of Differential Equations to give understanding to the students, and to rule over the theory and over the exercises, and to divide the studious from the idle; and the Professor saw that it was good.
And from 8:00 a.m. to 9:00 a.m. was the fourth day.
And the Professor said, "Let the lecture instruct profoundly the fidgeting student that squirms in the desk and the student that sits in the back of the classroom far into the darkness."
And the Professor presented great motivational devices and every practical application that existed, which the theorems brought forth abundantly, after their kind, and every trivial corollary after its kind; and the Professor saw that it was good.
And the Professor blessed them, saying, "Be diligent and study and learn systems of Differential Equations, and Matrices, and Transforms and Convolutions. Bone up on your integrations techniques, and feel free to use your calculator or the VAX whenever necessary."
And from 8:00 a.m. to 9:00 a.m. was the fifth day.
And the Professor said, "Let the topics bring forth the great examination after its kind, with formulae and systems and transforms after their kind. And let applications spring forth from every conceivable source to try the students mettle." And it was so.
And the Professor created the great examination after its kind, with proofs after their kind, and every application that followed from the theorems after their kind; and the Professor saw that it was content valid.
And the Professor said, "Let me administer the examination in my own class, to my own students; and let them sit in every other desk, and keep their eyes on their own papers, and show all their work, and review their computations for accuracy if time allows them at the end of the period."
So the Professor administered the exam to his own students, to his own students he administered it; to male and female he administered it.
And the Professor blessed them, and the Professor said unto them, "Be careful and accurate, and take the test and do well on it; and logically prove all the theorems of the test, and carry out all the applications and every computation that is printed on it."
And the Professor said, "Behold I have given you a very straightforward exam, which is on the subject of Differential Equations, and every direct proof, in which the results are for the applications; to you they shall appear simple.
"For to every student that sits attentively in class, and to every student that carries out the homework assignments (on schedule), wherein there are many useful results, I have made clear every topic on the examination." And it was so.
And the Professor saw the results of the examination that he had given, and, behold, they were sorrowful.
And from 8:00 a.m. to 9:00 a.m. was the sixth day.
And on the seventh day, he rested.