Catalog_2017_2018_3-7

217 Course Descriptions 2017-2018 Catalog Mathematics 10A STRUCTURE AND CONCEPTS IN MATHEMATICS I 3 units, 3 lecture hours PR ER EQU I S I T E S : Ma t h ema t i c s 103 . ADVISORIES: Eligibility for English 125 and 126. This course is designed for prospective elementary school teachers. It will study problem solving strategies and skills, number sequences, set theory, ancient numeration systems, number theory, rational and irrational numbers, computation algorithms, and applications of mathematics. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. (A, CSU-GE, UC) (C-ID MATH 120) 10B STRUCTURE AND CONCEPTS IN MATHEMATICS II 3 units, 3 lecture hours PREREQUISITES: Mathematics 10A and 102 or (one year high school geometry). ADVISORIES: Eligibility for English 125 and 126. This course is designed for prospective elementary school teachers. Topics covered will include counting methods, elementary probability and statistics. Additional topics in Geometry to include polygons, congruence and similarity, measurement, geometric transformations, coordinate geometry, and connections between numbers and geometry with selected applications. (A, CSU-GE, UC) 11 ELEMENTARY STATISTICS 4 units, 4 lecture hours PR ER EQU I S I T E S : Ma t h ema t i c s 103 . ADVISORIES: English 125 and 126. This course is an introduction to statistical methods and techniques with applications in the fields of business, behavioral and social science, as well as in science, technology, engineering, and mathematics. Topics include descriptive measures of central tendency and variability, probability, binomial and normal distributions, random variables, sampling, estimating, hypothesis testing (parametric and nonparametric), correlation and regression. (A, CSU-GE, UC, I) (C-ID MATH 110) 11C ELEMENTARY STATISTICS WITH SUPPORT 5 units, 5 lecture hours PREREQUISITES: Mathematics 103 or 211. ADVISORIES: English 125 and 126. This course is an introduction to statistical methods and techniques with applications in the fields of business, behavioral and social science, as well as in science, technology, engineering, and mathematics. Topics include descriptive measures of central tendency and variability, probability, binomial and normal distributions, random variables, sampling, estimating, hypothesis testing (parametric and nonparametric), correlation and regression, just-in-time-support learning and study skills. Not open to students with credit in MATH 11. (A, CSU) 17 DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA 5 units, 5 lecture hours PR E R EQU I S I T E S : Ma t h e m a t i c s 6 . ADVISORIES: English 125 English 126. Solutions to first order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. (A, CSU-GE, UC, I) (C-ID MATH 240) (C-ID MATH 260) (C-ID MATH 910S) 45 CONTEMPORARY MATHEMATICS 3 units, 3 lecture hours PR ER EQU I S I TE S : Ma t hema t i c s 103. ADVISORIES: Eligibility for English 1A. This course provides an introduction to mathematical problemsolving indiverse areas of contemporary life such as statistics, social choice, measurement, and management science for students in the arts, humanities, and social sciences. (A, CSU-GE, UC)