70 FALL 2022 925.424.1000 | [email protected] FALL 2022 - COURSE LISTINGS Please refer to the onl ine schedule on CLASS-Web to access course section detai ls and the course record numbers (CRNs) for registration. MATH 1 CALCULUS I 5.0 Units An introduction to single-variable differential and integral calculus including: functions, limits and continuity; techniques and applications of differentiation and integration; the Fundamental Theorem of Calculus; areas and volumes of solids of revolution. Prerequisite: MATH 30 and MATH 39 or MATH 38 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 2 CALCULUS II 5.0 Units Continuation of single-variable differential and integral calculus. Topics covered include: inverse and hyperbolic functions; techniques of integration; polar and parametric equations; infinite sequences, series, power series and Taylor series; applications of integration. Primarily for mathematics, physical science and engineering majors. Prerequisite: MATH 1 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 3 MULTIVARIABLE CALCULUS 5.0 Units Vector valued functions, functions of several variables, partial differentiation, multiple integration, change of variables theorem, scalar and vector fields, gradient, divergence, curl, line integral, surface integral, Green’s Stokes’ and divergence theorem, applications. Prerequisite: MATH 2 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 5 ORDINARY DIFFERENTIAL EQUATION 3.5 Units Introduction to differential equations including the conditions under which a unique solution exists, techniques for obtaining solutions, and applications. Techniques include generation of series, solutions, use of Laplace Transforms, and the use of eigenvalues to solve linear systems. Generation of exact solutions, approximate solutions, and graphs of solutions using MATLAB. Prerequisite: MATH 3 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 7 ELEMENTARY LINEAR ALGEBRA 3.5 Units An introduction to linear algebra including: techniques and theory needed to solve and classify systems of linear equations using Gaussian elimination and matrix algebra; properties of vectors in n-dimensions; generalized vector spaces, inner product spaces, basis, norms, orthogonality; eigenvalues, eigenspaces; and linear transformations. Selected applications of linear algebra, including the use of MATLAB to solve problems involving advanced numerical computation. Prerequisite: MATH 2 with a minimum grade of C A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. solving triangles using the law of sines and the law of cosines. Prerequisite: MATH 55 or MATH 55B with a minimum grade of C. Some sections of this course are taught in the Math Emporium. For more information, go to the Mathematics Department website http://www.laspositascollege.edu/mathemporium. Students are strongly encouraged to enroll in a tuition- free, noncredit NMAT 201C or a 1 unit credit Math 101C for individualized, interactive support in Trigonometry. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 40 STATISTICS AND PROBABILITY 4.0 Units Descriptive statistics, including measures of central tendency, dispersion and position; elements of probability; confidence intervals; hypothesis tests; two-population comparisons; correlation and regression; goodness of fit; analysis of variance; applications in various fields. Introduction to the use of a computer software package to complete both descriptive and inferential statistics problems. Prerequisites: Math 50 or Math 55 or Math 55B with a minimum grade of C Some sections of this course are taught in the Math Emporium. For more information, go to the Mathematics Department website http://www.laspositascollege.edu/mathemporium. Students are strongly encouraged to enroll in a tuition- free, noncredit NMAT 200C or a 1 unit credit Math 100C for individualized, interactive support in Statistics. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. MATH 47 MATHEMATICS FOR LIBERAL ARTS 3.0 Units An introduction to a variety of mathematical concepts for students interested in liberal arts. Intended to cultivate an appreciation of the significance of mathematics in daily life and help develop students’ mathematical reasoning. Topics include personal finance, probability and statistics, logic, exponential growth, and graph theory. Prerequisite: MATH 55 or MATH 55B or MATH 50 with a minimum grade of C Some sections of this course are taught in the Math Emporium. For more information, go to the Mathematics Department website http://www.laspositascollege.edu/mathemporium. Students are strongly encouraged to enroll in a tuition- free noncredit NMAT 200C or a 1 unit credit Math 100C for individualized, interactive support in Math for Liberal Arts. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course. LECTURE CLASSES Classes taken in these modes are guided by the instructor. Refer to the online schedule for details on each course’s requirements. Students may be required to purchase internet-based software for some math classes. For more information, see the section titled “Online Learning” in this schedule, or go to http://www.laspositascollege.edu/onlinelearning. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of a course. There may be a fee associated with these materials. Consult with the instructor or bookstore before registering for this course.

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