Reedley College Catalog 2018-19

227 Course Descriptions 2018-2019 Catalog Mathematics 4A TRIGONOMETRY 4 units, 4 lecture hours PREREQUISITES: Mathematics 103 or equivalent. ADVISORIES: Eligibility for English 1A or English 1AH. The study of trigonometric functions, their inverses and their graphs, identities and proofs related to trigonometric expressions, trigonometric equations, solving right triangles, solving triangles using the Law of Cosines and the Law of Sines, polar coordinates, and introduction to vectors. (A, CSU-GE) (C-ID MATH 851) (C-ID MATH 955: MATH 4A & MATH 4B) 4B PRECALCULUS 4 units, 4 lecture hours PREREQUISITES: Mathematics 4A. ADVISORIES: English 125 and 126. Preparation for calculus: polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs; analytic geometry, polar coordinates. (A, CSU-GE, UC, I) (C-ID MATH 955: MATH 4A & MATH 4B) 5A MATH ANALYSIS I 5 units, 5 lecture hours PREREQUISITES: Mathematics 3A or 4B and Mathematics 4A. ADVISORIES: Eligibility for English 1A. Introduction to calculus, analy tic geometr y, differentiation and integration of polynomial, exponential, logarithmic and trigonometric functions; limits; curve sketching and applications. (A, CSU-GE, UC, I) (C-IDMATH 210) (C-IDMATH 900S: MATH 5A & MATH 5B) 5B MATH ANALYSIS II 4 units, 4 lecture hours PREREQUISITES: Mathematics 5A. ADVISORIES: Eligibility for English 1A. This class investigates the applications of integration, many techniques of integration, improper integrals, parametric equations, polar coordinates and functions. Further study involves conic sections, exponential growth/decay models, infinite series including Maclaurin and Taylor Series. (A, CSU-GE, UC, I) (C-ID MATH 220) (C-ID MATH 900S: MATH 5A & MATH 5B) 6 MATH ANALYSIS III 5 units, 5 lecture hours PREREQUISITES: Mathematics 5B. ADVISORIES: Eligibility for English 1A. This is the third of three courses in the basic calculus sequence. Topics include solid analytical geometry, three dimensional vectors, vector valued functions, partial differentiation, multiple integration, line integrals, divergence, Green’s, and Stokes’ theorems. (A, CSU-GE, UC, I) (C-IDMATH 230) 10A STRUCTURE AND CONCEPTS IN MATHEMATICS I 3 units, 3 lecture hours PREREQUISITES: Mathematics 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-IDMATH 120) 10B STRUCTURE AND CONCEPTS IN MATHEMATICS II 3 units, 3 lecture hours PREREQUISITES: Mathematics 10A. ADVISORIES: Eligibility for English 1A or English 1AH. 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 PREREQUISITES: Mathematics 103. ADVISORIES: Eligibility for English 1A. 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)