Math 301
Probability and Statistics I
Spring 2017
All materials for my
classes change dependent upon the semester. Each semester the discussion
might veer from topic to topic and some topics are accented more than
others. Furthermore, by approaching a class in such a Socratic manner
rather than Sophistic manner, the students are treated as adults, are
challenged, and to whom are not condescended. I opine a primary goal of
any course is to establish an atmosphere that creates for students an
interesting and challenging intellectual environment which ideally encourages
students to further their study of mathematics.
To
put it succinctly and personally, that which I learnt the best was that which I
did myself, rather than be told about, lectured to, or even read about.
I must do in order to understand. That I can not
explain something does not mean it does not exist, it simply means that I do
not know it (at this point or perhaps it is never knowable). All our course
work is designed to accentuate that learning is a never-ending process rather
than a commodity or entity that can be given like the metaphor of an instructor
cracking open the head of a student then pouring the knowledge into said head.
In that regard it is very much reminiscent of reform methods and the philosophy
of John Dewey. Dewey stated, ``the traditional scheme is, in essence, one of
imposition from above and from outside.''
I
wish for all of my students to reflect on the following: P. J. Halmos recalled a conversation with R. L. Moore where Moore
quoted a Chinese proverb. That proverb provides a summation of the
justification of the method I employ in teaching. It states, ``I see, I forget;
I hear, I remember; I do, I understand.'' One can believe what one wants
without regard to the evidence or facts. One can opine only with evidence and
justification. One knows only through deduction and proof.
So in my class, you will do rather than see, hear, or read.
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301 Notes Chapter 1 - 5
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301 Notes Chapter 8
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301 Notes Chapter 9
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Notes Chapter 10
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301 Notes Chapter 11
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Last updated:
1 Feb. 2017
© 1992- 2017, M. P. M. M. McLoughlin