Courses and Workshops for Bright Kids

We are excited about our reasoning-based mathematics curriculum and our Olympic training workshops. Whether sought for comprehensive education or relied upon for focused study, Olympic preparation or simply enrichment, reasoning-based instruction delivers constructive understanding of mathematics. Our Winter-Spring 2012 offerings are as follows.

Arithmetic, Algebra and Elements of Analysis: Mondays and Thursdays 1600-1730 ET, January 9 - March 8, 2012, $459.
Prior familiarity with algebraic concepts a plus. Material expected to include:
  • Relations and functions, odd, even, 1-1, onto, partial, total, composition, inverse
  • Numbers and variables, linear equations, polynomials, exponentials, logarithms
  • (Relative) primes, factors, (integer, rational, real and complex) roots
  • Key Theorems: Arithmetic, Algebra, Factor, Remainder, Intermediate Value
  • Sequences, series, convergence, divergence, limits
  • Tangents, areas and volumes, introduction to differentiation and integration
Counting and Probabilities, Sets and Cardinalities: Mondays and Thursdays 1600-1730 ET, March 12 - May 3, 2012, $408.
Mathematical inclination a major plus. Material expected to include:
  • Sets and their operations and measures, membership, union, intersection
  • Universal and empty sets, complement, difference, subsets and power sets
  • Finite sets and cardinality, counting, permutations, combinations, repetitions
  • Probability laws, independent/dependent events, conditional probabilities
  • Measures of continuous counting, lengths, areas, volumes, geometric probabilities
  • Infinite counting and 0 cardinality
  • General power set, Cantor's diagonalization, Uncountable sets
  • Introduction to probability distributions and densities
Algebra and Geometry for Younger Bright Kids: Mondays and Thursdays 1800-1900 ET, January 9 - March 8, 2012, $306.
Prior familiarity with algebraic concepts a plus. Material expected to include:
  • Natural numbers, addition, number line, lengths and line segments
  • Subtraction and integers, directions, multiplication, areas
  • Factors, primes, relative primes, factorization
  • Lines and angles, forming quadrilaterals, triangles and other figures
  • Division and rationals, squares and rectangles
  • Using variables, linear equations, tabulation, Cartesian coordinates, graphing and intersects
  • Introduction to polynomials, roots and factorization
  • Triangles, right triangles, Pythagoras Theorem, irrational numbers
  • Circles, π, squaring of the circle
Elements of Theory of Computation and Complexity and Computer Algorithms: Tuesdays and Thursdays 1930-2100 ET, January 10 - March 8, 2012, $459.
Mathematical inclination a plus. Programming experience a plus. Material expected to include:
  • Church's Thesis, Turing-computability, computer languages equivalent to Turing machines
  • Limits of computation, the Halting Problem, reductions, Oracles
  • Computational complexity and running time of algorithms, NP-completeness, reductions
  • Introduction to data structures, scalars, lists, trees
  • Common polynomial algorithms: manipulation of data structures, sorting and searching, matrix multiplication

Please review our announcements for more information and contact Dr. Stoyen with any questions or a filled out application form for your bright child.

There are no prerequisites and any mix of courses may be selected. Sessions incorporate instruction, Q&A and discussion, and are live and interactive via WizIQ. Sessions are recorded and available for review or catching up in case of a missed class. Homework emphasizes concept understanding (vs. mere repetition). Fees include instruction, course materials, a performance report and a completion certificate. All sessions are offered subject to sufficient demand. Additional sessions may be scheduled still in the Winter-Spring 2012 and schedules are subject to adjustments and changes.

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