SMC GE Area IV-B

This course provides students with the tools to achieve their personal financial goals. It will help them make informed decisions related to spending, saving, borrowing, and investing by training them to apply quantitative reasoning concepts to solve problems. Topics covered include personal financial planning; money management; tax strategy; consumer credit; purchasing decisions; insurance; investing in stocks, bonds, and mutual funds; retirement; and estate planning.

This course provides students with the tools to achieve their personal financial goals. It will help them make informed decisions related to spending, saving, borrowing, and investing by training them to apply quantitative reasoning concepts to solve problems. Topics covered include personal financial planning; money management; tax strategy; consumer credit; purchasing decisions; insurance; investing in stocks, bonds, and mutual funds; retirement; and estate planning.

An intensive preparation for calculus. This course is intended for computer science, engineering, mathematics and natural science majors. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). Math 3 in combination with Math 4 (College Algebra for STEM Majors) serves as a prerequisite for Math 7 (Calculus 1). The course includes a study of the properties and graphs of trigonometric and inverse trigonometric functions, trigonometric identities, solutions of triangles, trigonometric equations, parametric equations, polar coordinates and polar equations, the algebra of vectors in two and three dimensions and topics from analytic geometry and applications.

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). Math 4 in combination with Math 3 (Trigonometry with applications) serves as a prerequisite for Math 7 (Calculus 1). The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first and second degree equations and inequalities, systems of equations, matrices, binomial theorem, mathematical induction, polynomial and rational functions, exponential and logarithmic functions, analytic geometry and conic sections, and geometric and arithmetic sequences and series.

This first course in calculus is intended primarily for science, technology, engineering and mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications.

This second course in calculus is intended primarily for science, technology, engineering, and mathematics majors. Topics include derivatives and integrals of transcendental functions with mathematical and physical applications, indeterminate forms and improper integrals, infinite sequences and series, and curves, including conic sections, described by parametric equations and polar coordinates.

This course is intended for computer science, engineering, and mathematics majors. Topics include proof techniques, cardinality of sets, partial orderings and equivalence relations, symbolic logic and valid arguments, permutations and combinations with repetition, and an introduction to graph theory.

Topics include vectors and analytic geometry in two and three dimensions, vector functions with applications, partial derivatives, extrema, Lagrange Multipliers, multiple integrals with applications, vector fields. Green's Theorem, the Divergence Theorem, and Stokes' Theorem.

Topics include matrices and linear transformations, abstract vector spaces and subspaces, linear independence and bases, determinants, systems of linear equations, eigenvalues and eigenvectors.

This course is an introduction to ordinary differential equations. Topics include first order equations, linear equations, reduction of order, variation of parameters, spring motion and other applications, Cauchy-Euler equations, power series solutions, Laplace transform, and systems of linear differential equations.

Topics include linear, quadratic, exponential and logarithmic functions and equations; systems of linear equations and inequalities; sequences and series. The emphasis is on setting up and solving applications of the algebraic material.

Topics include rational, irrational and complex numbers; fundamental operations on algebraic expressions and functions; introduction to polynomial, rational, exponential and logarithmic functions, equations and graphs; circles and parabolas. Emphasis is on advanced algebraic factoring and simplification.

This is a terminal mathematics course for liberal arts and social science majors. Topics include sets and counting, probability, linear systems, linear programming, statistics, and mathematics of finance, with emphasis on applications.

This course is a preparatory course for students anticipating enrollment in Math 28 (Calculus I for Business and Social Science). It is not recommended as a terminal course to satisfy transfer requirements. Topics include algebraic, exponential and logarithmic functions and their graphical representations, and using these functions to model applications in business and social science.

This course is intended for students majoring in business or social sciences. It is a survey of differential and integral calculus with business and social science applications. Topics include limits, differential calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and mathematics of finance.

Topics include techniques and applications of integration, improper integrals, functions of several variables, partial derivatives, method of least squares, maxima and minima of functions of several variables with and without constraints, method of LaGrange Multipliers, double integrals and their application, elementary differential equations with applications, probability and calculus.

This is an introductory course in geometry whose goal is to increase the mathematical maturity and reasoning skills of students. Topics include elementary logical reasoning, properties of geometric figures, congruence, similarity, and special right triangles. Formal proof is introduced and used within the course.

This course is designed for pre-service elementary school teachers. The course examines several content areas: numeration systems (historical development of numeration system, Hindu-Arabic numeration system, and place value systems); integers (structure, basic properties and computational algorithms); basic number theory (divisibility, primes and composites, prime factorization, Fundamental Theorem of Arithmetic, greatest common divisor, least common multiple); rational numbers (structure and properties, ratio and proportions); real numbers (structure and basic properties, arithmetic operations, rational and irrational numbers, decimal representation, number line representation); problem solving (patterns, connections, modeling, reasoning and representations, strategies, inductive and deductive reasoning); and national and state curriculum standards for elementary school math including Common Core State Standards.

This is an accelerated course covering the topics of Beginning and Intermediate algebra. Specific topics include arithmetic operations with real numbers, change of units and percents, polynomials, rational expressions, and radicals; linear equations and inequalities; systems of linear equations and inequalities; application problems; equations with rational expressions; equations with radicals; linear, quadratic, exponential and logarithmic functions and equations; factoring; drawing and interpreting graphs; sequences and series. The emphasis is on setting up and solving applications of the algebraic material.

This course introduces algebra topics and the basic elements of exploratory data analysis needed for Elementary Statistics (Math 54) and Finite Mathematics (Math 21). Course topics include number and operation sense with regard to whole numbers, integers, rational numbers, mixed numbers, decimals, grouping symbols, order of operations, estimation and approximation, scientific notation, ratios, percents, proportions, formulas and algebraic expressions, linear equations and inequalities in one variable, analyzing and producing data, sample statistics and graphs, functions, systems of linear equations, and probability. Course Comment: Math 50 is designed for students who are only required to complete Elementary Statistics (Math 54) or Finite Mathematics (Math 21). Students who plan to take a non-math course which lists Math 20 or Math 31 as a pre-requisite should take those courses unless otherwise advised by the department offering the non-math course. This course is not intended as a preparation for precalculus or Calculus. Students planning to take Precalculus (Math 2) must complete Intermediate Algebra (Math 20).

This course covers concepts and procedures of descriptive statistics, elementary probability theory and inferential statistics. Course content includes: summarizing data; computation and interpretation of descriptive statistics;; classical probability theory; probability distributions; binomial, normal, T, Chi-square and F distributions; making inferences; decisions and predictions. This course develops, analyzes, and interprets confidence intervals for population parameters, hypothesis testing for both one and two populations, correlation and regression, ANOVA, and test for independence. This course develops statistical thinking through the study of applications in variety of disciplines. The use of a statistical/graphing calculator and/or statistical analysis software is integrated into the course.