Skyline College Catalog 2011-2012 Program & course descriptions ...

C O U R S E D E S C R I P T I O N SMATHNOTE: The prerequisite for MATH 242 is both MATH130 and MATH 241. Students planning to take bothMATH 241 and 242 should take MATH 130 prior toentering the sequence.MATH 241 APPLIED CALCULUS I (5)Minimum of 80 lecture hours plus 16 hours by arrangement/semester.Prerequisite: Completion of MATH 120 orMATH 123 with a grade of C or better, or appropriateplacement test score and other measures as appropriate,or equivalent.Basic techniques of differential calculus. Selectedtopics from analytic geometry, limits, differentiation, andapplications of the derivative. Transfer credit: UC; CSU(B4).MATH 242 APPLIED CALCULUS II (3)Minimum of 48 lecture hours plus 16 hours by arrangement/semester.Prerequisites: Completion of MATH 130and MATH 241 with grades of C or better, or equivalent.Basic techniques of integral calculus. The definition,calculation, and application of the integral. Logarithmicand exponential functions. Partial derivatives, multipleintegrals, differential equations, and Taylor Series.Transfer credit: UC; CSU (B4).MATH 251, 252, 253 CALCULUS WITH ANALYTICGEOMETRY I, II & III (5, 5, 5)Minimum of 80 lecture hours plus 16 hours by arrangement/semester.MATH 251 CALCULUS WITH ANALYTIC GEOMETRY IPrerequisite: Completion of MATH 222 with a grade of Cor better, or appropriate placement test score and othermeasures as appropriate, or equivalent.The study of limits and continuity, the derivatives,applications of derivative, the definite integral, improperintegrals, the conic sections. Transfer credit: UC; CSU(B4).MATH 252 CALCULUS WITH ANALYTICGEOMETRY IIPrerequisite: Completion of MATH 251 with a grade of Cor better, or equivalent.The study of applications of the definite integral, vectors,trigonometric and exponential functions, techniquesof integration, polar coordinates and parametric equations.Transfer credit: UC; CSU (B4).MATH 253 CALCULUS WITH ANALYTICGEOMETRY IIIPrerequisite: Completion of MATH 252 with a grade of Cor better, or equivalent.The study of vector valued functions, sequences andseries, Taylor’s formula, multivariable functions, differentialcalculus of multivariable functions, and integral calculusof multivariable functions. Line and surface integralsand differential equations will be covered as time permits.Transfer credit: UC; CSU (B4).MATH 270 LINEAR ALGEBRA (3)Minimum of 48 lecture hours plus 16 hours by arrangement/semester.Prerequisite: Completion of MATH 252with a grade of C or better, or equivalent.The study of systems of linear equations, the algebraof matrices, determinants, vector spaces, linear transformations,the algebra of linear transformations with anintroduction to dual spaces, eigenvalues and eigenvectors,and the applications of vectors and matrices tolinear equations and linear transformations. Transfercredit: UC; CSU (B4).MATH 275 ORDINARY DIFFERENTIAL EQUATIONS (3)Minimum of 48 lecture hours plus 16 hours by arrangement/semester.Prerequisite: Completion of MATH 253with a grade of C or better, or equivalent.Differential equations and applications of first andhigher order with an emphasis on second order. Othertopics may include series solutions about regular singularpoints, LaPlace transforms, operator techniques, andnumerical methods of approximation. A course suitablefor mathematics, physical science, and engineering studentsafter they have completed the Calculus sequence.Transfer credit: UC; CSU (B4).MATH 650 MATHEMATICS SUPPLEMENT (.5-2)(Pass/No Pass.)Minimum of 24 lab hours for each .5 unit.Based on individual needs, students will have directedlearning experiences to improve their mathematical skillswhich will promote mastery of skills necessary for successin college level mathematics and science courses.These supplementary lessons will be arranged and supervisedin the Math Assistance Lab of The Learning Center.Class hours are devoted to work on specific content areasas prescribed for the individual student. May be repeatedfor credit a maximum of three times. (Open entry.) (Unitsdo not count toward the Associate Degree.)MATH 811 FUNDAMENTALS OF MATHEMATICS (3)Minimum of 80 lecture hours plus 16 hours by arrangement/semester.Emphasis on basic skills in mathematics includingoperations on whole numbers and rational numbers.Applications of these operations will be stressed. (Unitsdo not count toward the Associate Degree.)212 w w w. S k y l i n e C o l l e g e . e d u 2011 – 2 012 C ATA L O G