Search the OpenLab Submit. Toggle navigation. My OpenLab. N ow it seems obvious that if you know what something is you then also know what it is n ot. Just as I know that the computer screen I am looking at is not a dog. The same is true for logical statements and their meanings. If you know what a statement says - you should also know what it does not say. Now look at the statement: if it rains, then the street is wet. What is the negation of this statement?
That is: what is the statement that is true when the latter is false and false when the latter is true? Most people answer incorectly.
The York calendar describes the course as follows:. Topics may include finite difference methods, shooting methods, collocation methods, conditioning, mesh selection, error estimation, etc. The study of algebraic structures, such as groups, rings, fields, posets, graphs, or universal algebras.
The major emphasis is on derivation of theory, with inclusion of applications and examples. This course is a further study of algebraic structures and their applications. Students are introduced to various enumeration techniques and will include such topics as permutations and combinations, recurrence relations and generating functions. Various finite structures and their applications are also studied. Various graph theoretic algorithms and their application to different problems are discussed.
Topics are chosen from the following: the connector problem, the shortest path problem, the Chinese Postman problem and Euler trails, matchings and their applications to the personnel and optimal.
This course will begin with a study of the topology of ordering and ordinals, and indexed unions, intersections, and products. Topics will include bounded and totally bounded sets, completeness and fixed point theorems. Following this, abstract topological spaces will be studied.
The complex plane. Elementary transformations and mappings, analytic functions, infinite series and uniform convergence. Differentiation and integration in the complex plane, residue. Harmonic functions, entire and meromorphic functions.
Some principles of conformal mapping theory. A continuation of MATH Further study of analytic functions and conformal mapping theory. This course includes further topics on metric spaces. Topics include: Baire category theorem, the space of continuous functions, fixed points and integral equations, Arzela-Accoli theorem, the Stone-Weierstrass theorem, Picard existence theorem for differential equations, Riemann Integrability, sets of measure zero, and Lebesgue Theorem.
Research project in the mathematical sciences carried out by the student under the supervision of any member of the Department. The student will submit a thesis and present it orally. This course is open to 4th year honours students. Directed study 6 hrs. This course is intended to supplement or provide an alternative to the regular mathematics courses in order to meet the special needs and interests of students.
The course provides an opportunity to study a particular subject in detail and requires from the student some measure of independence and initiative.
Send Page to Printer. Download Page PDF. Mathematics MATH. Note: This course may not be used as a Science elective by B. Note: This course may not be used as a Science elective by BSc students to satisfy BSc requirements 3e, 6e, 10b, or 12b. MATH Geometry.
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