COA 09-11 Catalog - Peralta Colleges

MATHEMATICS (MATH)163MATH 3ELinear Algebra3 units, 3 hours lecture (GR)Prerequisite: Math 3AMath 3E plus 3F are equivalent to Math 3D.Not open for credit to students who have completed orare currently enrolled in Math 3D.Acceptable for credit: CSU, UCLinear algebra: Gaussian and Gauss-Jordan elimination,matrices, determinants, vectors in R 2 and R 3 , real andcomplex vector spaces, inner product spaces, lineartransformations, eigenvalues, eigenvectors, andapplications. 1701.00AA/AS area 4b, 4e; CSU area B4; IGETC area 2MATH 3FDifferential Equations3 units, 3 hours lecture (GR)Prerequisite: Math 3CMath 3E plus 3F are equivalent to Math 3D.Not open for credit to students who have completed orare currently enrolled in Math 3D.Acceptable for credit: CSU, UCOrdinary differential equations: First-order, secondorder,and higher-order equations; separable and exactequations, series solutions, Laplace transformations,systems of differential equations. 1701.00AA/AS area 4b, 4e; CSU area B4; IGETC area 2MATH 11Discrete Mathematics4 units, 4 hours lecture (GR or P/NP)Prerequisite: Math 3BAcceptable for credit: CSU, UCDiscrete mathematics: Mathematical induction, finiteseries, sets, relations and functions, introduction to trees,combinatorics, algebraic structures, and probability.1701.00AA/AS area 4b, 4e; CSU area B4; IGETC area 2MATH 12Symbolic Logic4 units, 4 hours lecture (GR)Prerequisite: Math 203 or 211DAcceptable for credit: CSU, UCIntroduction to symbolic logic: Valid reasoning, logicaltruth, consistency premises, symbolizing everydaylanguage, general theory of inference for predicatecalculus, consistency and independence of axioms,theorems of logic, axiomatic systems, mathematicalinduction and direct proofs, sentential and predicatelogic. 1701.00AA/AS area 4b, 4e; CSU area B4MATH 13Introduction to Statistics4 units, 4 hours lecture (GR)Prerequisite: Math 203 or 211DAcceptable for credit: CSU, UCIntroduction to theory and practice of statistics: Collectingdata: Sampling, observational and experimental studies.Organizing data: Univariate and bivariate tables andgraphs, histograms. Describing data: Measures oflocation, spread, and correlation. Theory: Probability,random variables; binomial and normal distributions.Drawing conclusions from data: Confidence intervals,hypothesis testing, z-tests, t-tests, and chi-square tests;one-way analysis of variance. Regression and nonparametricmethods. 1701.00AA/AS area 4b. 4e; CSU area B4; IGETC area 2MATH 15Mathematics for Liberal Arts Students3 units, 3 hours lecture (GR or P/NP)Prerequisite: Math 203 or 211DAcceptable for credit: CSU, UCFundamental ideas underlying modern mathematics:Elements from logic, sets, and number systems;concepts of elementary algebra, geometry, topology, andcombinatorics. 1701.00AA/AS area 4b, 4e; CSU area B4MATH 16ACalculus for Business and Life/Social Sciences3 units, 3 hours lecture (GR)Prerequisite: Math 1 or 2Acceptable for credit: CSU, UCIntroduction to analytic geometry and differential andintegral calculus of algebraic functions with particularattention paid to simple applications. 1701.00AA/AS area 4b; CSU area B4; IGETC area 2MATH 16BCalculus for Business and Life/Social Sciences3 units, 3 hours lecture (GR)Prerequisite: Math 16A or 3AAcceptable for credit: CSU, UCContinuation of differential and integral calculus:Transcendental functions, methods of integration, partialdifferentiation, and multiple integration with particularattention to applications. 1701.00AA/AS area 4b; CSU area B4; IGETC area 2MATH 48AA-FZSelected Topics in Mathematics.5-5 units, 0-5 hours lecture, 0-15 hours laboratory (GRor P/NP)Acceptable for credit: CSUSee section on Selected Topics. 1701.00