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Introduction to Statistics/Math 13
Introduction to the basic concepts of statistics. Topics include: graphical and numerical methods of descriptive statistics; methods of sampling; basic elements of probability; binomial, normal, and sampling distributions; the Central Limit Theorem; confidence interval estimates and hypothesis testing procedures for one and two population means and proportions; chi-square tests for goodness-of-fit and independence; linear regression/correlation; and an introduction to analysis of variance (ANOVA). This is equivalent to Math 13 at Sierra College.
| Integrated Math l Integrated Math 1 is the first course in which most students will be enrolled. The course covers key algebra topics of linear and exponential functions, and also focuses on geometric transformations and congruence. Successful completion of the majority of the course material will give the student credit for Integrated Math 1. The mathematics department recommends all students pass Integrated Math 1 with a “C” or better before enrolling in Integrated Math 2.Integrated Math ll Integrated Math 2 is the second course in a three course college preparatory series. Students will add quadratic models to linear and exponential models previously learned in Integrated Math 1. Geometric concepts including the study of similarity, congruence, right triangle relationships, circles, quadrilaterals, and three-dimensional objects will be taught. Various probability models will also be studied. Integrated Math llI Integrated Math 3 is the third course in a three course college preparatory series. Students will extend their knowledge of solving equations, factoring, functions and graphing - with additional models beyond linear, exponential and quadratic from previous courses. They will study inverse functions and logarithms, transformations, polynomials, and ideas from statistics including normal distribution and measures of center, spread, and shape. | Trigonometry & Pre-Calculus This course is designed to provide students with a variety of mathematics necessary for college level mathematics courses including Calculus. Trigonometry topics include definitions of trigonometric and circular functions, graphs, identities, solving trigonometric equations, solving triangles using the Laws of Sines and Cosines, and applications. Precalculus topics include polynomials, rational functions, exponential and logarithmic functions, binomial theorem and sequences. Calculus 1/Math 30 Introduction to differential and integral calculus. Content includes limits, continuity, differentiation and integration of algebraic, trigonometric, exponential, logarithmic, hyperbolic and other transcendental functions; as well as application problems. This is the first course in a 2-course sequence of single variable Calculus.Calculus 2/ Math 31 Continuation of material from Calculus 1. Content includes techniques of integration, improper integrals, applications of integration, infinite series, parametric equations and polar coordinates. This is the second course in a 2-course sequence in Single Variable Calculus. |
