CCP Math Club

CCP Math Club is a club for CCP students with an interest in math and science.

Activities may include listening to presentations or films, engaging in math contests, conducting experiments, or visiting science museums. All interested CCP students with a 2.0 overall average are eligible for CCP Math Club membership. CCP Math Club members who have completed either Math 162 or at least one CCP math course for which Math 162 is a prerequisite may in addition be eligible for membership in CCP Mu Alpha Theta.

CCP Mu Alpha Theta

CCP Mu Alpha Theta is part math club and part math honor society for select math and science students at 2-year colleges and high schools. It is part of a national organization with over 1400 chapters. The national organization provides membership cards, newsletters, competitions, regional meetings, and other activities. Membership in CCP Math Club is a prerequisite for membership in CCP Mu Alpha Theta. Full membership in CCP Mu Alpha Theta may be helpful on a student's resume.

What does it mean to be literate in mathematics?

We believe that after completing the core courses of the associate degree in mathematics, a student should

• Know a proof of the irrationality of �2
• Know Euclid's proof of the infinitude of primes.
• Know that the graph of an affine function is a straight line and conversely, that the equation of a line on the plane gives an affine function.
• Know the relationship between the equation of a line and lines parallel and normal to it.
• Know why the graph of a quadratic function yields a parabola.
• Know how to prove Ruffini's Factor Theorem.
• Know how to prove the various laws of logarithms.
• Know how to prove the addition formulae for the trigonometric functions.
• Know how to prove the Law of Sines and Al-Kashi's Law of Cosines.
• Know how to prove the Binomial Theorem.
• Know necessary and sufficient conditions for a graph to be Eulerian.
• Know how to prove that 1+2+...+ n = (n(n+1))/2.
• Know how to prove that 1²+2²+...+ n² = (n(n+1)(2n+1))/6
• Know how to prove that there are five Platonic Solids.
• Know how to prove that lim x-> 0 (sinx/x)=1.
• Know the various effects of the first and second derivative on the shape of the graph of a function.
• Know how to prove the Fundamental Theorem of Calculus.
• Know Taylor's Theorem and its consequences.
• Know the statements and proofs of Green's, Gauss' and Stokes theorems.
• Know the relationship between matrices and linear transformations.
• Know how to prove the Steinitz Replacement Theorem.
• Know the relationship between determinants and volumes.
• Know the relationship between the dimension of the kernel and the dimension of the image of a linear transformation from a finite-dimensional vector space to a finite-dimensional vector space.

Read the following compilation of theorems by Dr. Hal Switkay that every undergraduate should know.