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Maths
Jobs/ Courses
for students in or visiting Montreal.
- sponsor required-
YOU are better than YOU think. Show yourself how:
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Logic
Mastery
Amazing, Amusing, Amorous, Delicious, Delightful, Edifying,
Strengthening Elixir.
It eases work & learning difficulties Makes the hard easier. Opens eyes.
Leads to greater precision.
in reading and
writing
Do not leave here without it - Logic
mastery will develops critical thinking, improve reading and writing,
and give a firmer base for work and studies at many levels. Good luck.
After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving
linear2007 Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
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Caution: Site advice is approximately
correct, for some circumstances, not all. That leaves room for thought |
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What may be learnt and when depends on how skills
and concepts are developed. Making the hard easier and clearer will allow
earlier & richer development of skills and concepts.
Try the Twiddla
Whiteboard. In principle, it allows
to people to draw and chat together online on a copy of this webpage or a clean
sheet. The chat may be via text or audio. Visit www.twiddla.com
to set up whiteboards to work with the webpage of your choice.
For online automated help in senior high school maths & calculus,
visit quickmath.com For Automatic
Calculus and Algebra Help with derivatives, integrals, graphs, linear equations,
matrix algebra, visit calc101.com
With overlap, each site quickmath
& calc101offers a different range of
services, some free, some not, all based on webmathematica. Good luck.
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Books by
other authors
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Mathematics from the Birth of Numbers, 1996, 950+, by the late
Jan Gullberg, is an excellence resource forpupils and instructor in college and
the upper years of secondary schools. ISBN 0-393-04002-X. The book is a work of
love by its author, one that I would highly recommend as gift for any one with a
strong interest in learning or teaching mathematics.
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The VNR Concise Encyclopedia of Mathematics by
W. Gellert, H. Küstner, M. Hellwich & H. Kästner, Van Nostrand Reinhold
Company, 1975 (or 1977). ISBN: 0-442-22646-2 (hard cover) and ISBN:0-442-22647-0
(paperback). Copy right held by a corporation whose sense of public service does
not exist or is insufficient to put this work back in print. Used copies
available.
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Collin's
Dictionary of Mathematics - Undergraduates and high school instructors may
find it useful.. ISBN 0-00-710295-X My copy was found in the McGill U.
Bookstore for 24 $CDN. www.collins.co.uk.
More recommendations for public and private libraries with links to Amazon
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Review |
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Calculus
with Analytic Geometry, Denis Zill, Here is another
well-written calculus book. A colleague of mine like it so much that he
provided feedback to the author to help remove typos. Copies should be
in every college library. Here is a good reference for a first course or two in
calculus.
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| Calculus of One and Several Variables.
Einar Hille and Satunino L. Salas. Here is or was a good reference for
calculus - an easier read than most. Copies should be
in every college library. |
| Mathematics from the Birth of Numbers, Jan Gullerg.
This is
a work of love by the author with help from his family. This hardcopy
has over a 1004 pages, all beautifully typeset. The word beautiful when applied to this work is an understatement. I recommend it
to all high school and college instructors and tutors, and college level
students in math, science or engineering. High
school and college libraries should, no must, add this work to their collections. |
| Every high school and college library should
have a hardcopy of this work. If only used copies are available, get a
used one and rebind it. This work is a must. |
| Mathematics for the Non-Mathematician. Morris
Kline is one of my favorite authors. A recent acquisition. Prerequisite:
A first or further course in calculus. My review to come. I am still
reading it. |
| Mathematical Thought from Ancient to
Modern Times, Volumes I to III, by Morris Kline. All
college and university libraries should have this work and its
companion.
Prerequisite:
An undergraduate degree in Mathematics with a strong interest in the
logic of mathematics.
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| Mathematics, the Loss of Certainty. Morris, Kline;
Hardcover. Mathematics may be the queen of science and logic, but the
certainty we once held or aspired to in this subject is not
absolute.
Prerequisite:
An undergraduate degree in Mathematics with a strong interest in the
logic of mathematics.
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| Calculus, Lipman Bers,
Here is a rare and beautiful calculus book which dared in the 1960s
mention
decimals in the representation of real numbers. Elements of this work
should return to the calculus curriculum. Copies should be in every
college library.
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Principles of Real Analysis, Walter Rudin. Here is a good
reference for advanced students in mathematics, physics and electrical
engineering.
Prerequisite: Two or three courses in calculus.
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Introduction to Topology. Bert Mendolson. As a undergraduate, I found the
introduction to topology in real analysis too hard for my liking. This
work (if I remember correctly) clarified matters - made them simpler.
Co-requisite: A first course in real analysis.
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Advanced Calculus, Loomis and Sternberg. Here is a Banach space approach
to advance calculus. See treatment of chain-rule via linear approximation
and a careful use of little o and big O asymptotic behaviors. Out of
Print. Used copies may be available. This work includes the
proofs normally omitted in first courses in calculus.
Co-requisite: A first course in real analysis.
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whyslopes.com
Entrance Level
UK Tutors -All
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Montreal Tutors
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Three Links for Teachers:
(i) First
Year High School Math - Lesson Plans with Fraction Focus
(ii) Second
Year High School Math - Lesson Plans with an algebra focus
(iii) Algebra
Lesson Plans
Help U Learn/ Teach
- Algebra
words before symbols
- direct & indirect
use of formula, numerical versus algebraic solutions - what
is a variable (more words)
- Arithmetic
- exercises
- with fractions
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videos on primes, lcm, gcm,lcd, square roots etc
- Calculus - geometric
preview, algebraic
preview,
3 study guides,
much more
- Complex numbers
-starter lesson with java applet - easy
consequences for trig & vectors in the plane
- Education
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& Delivery
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- alone
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algebra
- videos
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hindsight
- composition aka
substitution -
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of triangles, Triangle
construciton, duplication & Isometry - Failure
of ASA & the // line postulate - angle
sum in triangles -//
grams - Triangle
Similarity
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Analytic - functions, polynomials, complex numbers, unit circle
trigonometry
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- First Steps -
Symbols in Logic
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Occurrence &
Truth Tables - Indirect
Reason -Indirect
Reason More
- Proportionality
- Definition -
Direct & Indirect Use - Numerical versus Algebraic Solutions
- Real Analysis
- Decimal View of concepts
and of proofs
- Rules &Patterns in Science, Technology & Society
- Pattern Based Reason
- Mathematical Reasoning, empirical, inductive or deductive
- Units
- in rates & slopes &
(?) derivatives
- in ratios
& proportions - slopes & rates included
- Complex Numbers & Vectors & Trig
- trig expression for dot
& cross - cosine law
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