Indexed Adobe PDF (Spring 2011-Full Version) - SUNY Orange

Mathematicsmathematics, and growth and form. (GE 1)Prerequisite: C- or better in MAT 102 or mathplacement testMAT 114 is not recommended for students who desireto progress towards the study of calculus. MAT 114does not fulfill the 6-8 credits in math required in theA.S. degree.MAT 121—College Algebra3 cr. (Fall/Spring/Summer)College Algebra is the first course for students whoplan to continue on toward the study of Calculus.Topics include: a thorough treatment of the conceptof function and their graphs, linear and quadraticfunctions, polynomial and rational functions, inversefunctions, exponential and logarithmic functions,conic sections, and the binomial formula. (GE 1)Prerequisite: C or better in MAT 102 or mathplacement testMAT 122—College Trigonometry3 cr. (Fall/Spring/Summer)College Trigonometry is the second course forstudents who plan to continue on toward the study ofCalculus. Topics include trigonometric functions,graphing techniques, right triangle applications,trigonometric identities, inverse functions, obliquetriangles, two-dimensional vectors, and complexnumbers in trigonometric form. (GE 1)Prerequisite: C or better in MAT 121MAT 125—Introduction to Statistics3 cr. (Fall/Spring/Summer)This course examines the general elements andprinciples of statistics used in the fields of education,consumerism, quality control, allied health, physicalsciences, & social sciences. Course is broken into twoparts; descriptive statistics and inferential statistics.Topics include: methods of summarizing andpresenting data; measures of center, spread, andposition; probability; binomial probabilitydistribution; normal probability distribution; t-test;chisquare test; confidence intervals, hypothesistesting; and linear regression. (GE 1)Prerequisite: C or better in MAT 102 or placementon math assessment of MAT 121 or higherMAT 131—Pre-Calculus4 cr. (Fall/Spring/Summer)A course designed to review advanced techniques inalgebra and trigonometry that are necessary for thestudy of calculus. The major areas of study are:algebra, manipulations, analytic geometry,exponentials, trigonometry, transforms and problemsolving. Former title Essentials for Calculus. (GE 1)MAT 131 is not open to students who have completedMAT 121 or MAT 122.Prerequisite: math placement testMAT 134—Mathematical Reasoning andProof3 cr. (Spring)Special Topics Course—Mathematical Reasoningand Proof is designed for students who plan tocontinue their studies in mathematics, mathematicseducation or science. This course will foster the abilityto read and write mathematically correct proofs.Using some of the classic proofs and mathematicalpatterns, the course familiarizes the student withmany of the foundational topics of mathematics aswell as some of the current areas of research. Thecourse includes Euclidean Geometry, MathematicalInduction, Strict Arithmetic Proof, and ElementaryNumber Theory Proofs, among others. The coursealso explores the develpments in mathematics thatgave rise to Computer Science.Prerequisite: C or better in MAT 131, MAT 122 orcollege placement testMAT 136—Introduction to Discrete Mathematics3 cr. (Spring)Discrete mathematics deals with the analysis ofdiscontinuous (separate, distinct, unconnected)phenomena. This branch of mathematics providesmuch of the underlying methodology for the use ofcomputers. This branch of mathematics hasapplications in the fields of engineering, physicalsciences, economics, behavioral sciences, healthsciences, and computer science. Topics coveredinclude: Sets, sequences, functions, prime numbers,elementary logic (proofs), relations (Matrices),induction and recursion, counting and anintroduction to graphs and trees.Prerequisite: C- or better in MAT 121MAT 205—Calculus 14 cr. (Spring/Fall/Summer)Analytic geometry topics are introduced as needed tocarry out the orderly development of the calculus.Topics include algebraic functions andtransformations, trigonometric functions andidentities, limits, continuity, derivatives, implicitdifferentiation, related rate problems, Rolles' Theoremand Mean Value Theorem, curve sketching (relativemin/max, concavity, points of inflection, limits atinfinity, horizontal asymptotes), applications ofdifferentiation, differentials, antidifferentiation, thedefinite integral, sigma notation, and FundamentalTheorem of Calculus. (GE 1)Prerequisite: C or better in MAT 122, or MAT 131or math placement testMAT 206—Calculus 24 cr. (Spring/Fall/Summer)A continuation of the calculus which builds on thebasic concepts of derivatives and integration toinclude calculus of exponentials, logarithms,trigonometric functions, inverse trigonometric204 www.sunyorange.edu Spring 2011