Mathematics

A continuation of Mathematics 235 focusing onyintegration and infinite series. Studentsysuccessfully completing this course will be ableyto: 1) solve integration problems using a varietyyof techniques, 2) conceptually understand infiniteysequences and series, 3) apply these concepts to ayvariety of theoretical and real-life questions andy4) decisively utilize paper/pencil andytechnology-based problem-solving techniques.yPrerequisite MTH-235. Offered spring term.

Vector spaces, systems of linear equations, linearytransformations, matrices, determinants,yeigenvalues and eigenvectors. Prerequisite:ySophomore standing, Mathematics 235 (may be takenyconcurrently). Offered fall term.

An introduction to the theoretical foundations ofycalculus. Students successfully completing thisycourse will: 1) understand the development ofyelementary calculus tools, 2) be familiar with theyhistory, theorems and conjectures of traditionalymathematical analysis, and 3) communicateymathematically through a variety of proofytechniques. Prerequisite: MTH-236 and 250.yOffered alternate fall terms.

In consultation with a faculty member, the studentyexecutes the plan of action created in MathematicsySeminar I. The project culminates in a formalypaper and oral presentation demonstrating theystudent's ability to independently research aytopic and effectively communicate mathematics.yPrerequisite: Mathematics 496 or permission.yOffered every term.

A study of geometric topics encountered in middleyschool and high school mathematics. Topics includeythe van Hiele theory, measurement, congruence andysimilarity, fractals, polyhedra, coordinateygeometry, transformational geometry, andyapplications. Students who successfully completeythis course will be able to teach the geometricytopics at all levels covered in public schools.yPrerequisite: Two years of high school algebra oryMathematics 105. Offered spring term.

An examination of options and topics appropriateyfor seventh, eighth, and ninth grade mathematicsycourses. Students successfully completing thisycourse will: 1) be able to determine topicsyappropriate for general mathematics courses at theyjunior high level, 2) be able to organize topicsyfor pre-algebra preparation, and 3) becomeyfamiliar with pedagogy for students of varyingyabilities. Generally taken during the junioryyear. Offered fall term.

A selection of topics not covered in Mathematicsy323, 324, or 325. Various teaching approaches andymethods are examined. Changes that are continuallyyoccurring in mathematics education are discussedyand appropriate techniques for the teaching ofymathematics in the public schools are presented,yincluding teaching from a constructivist point ofyview, becoming familiar with the vanHiele levelsyof learning geometry, observing master teachers,yand utilizing and integrating technology. Many ofythe ideas are examined from the viewpoint of theyNational Council of Teachers of Mathematics.yPrerequisite: Mathematics 323, 324, and 325,yenrolled in professional term, or permission.yOffered fall term.

Random variables, conditional probability andyindependence, expectation, moment generatingyfunctions, special distributions. Prerequisite:yMathematics 236 and 250. Offered fall term.