51 SPRING 2022 925.424.1000 |
[email protected] SPRING 2022 - COURSE LISTINGS Please refer to the online schedule on CLASS-Web to access course section details and the course record numbers (CRNs) for registration. MATH 110 ELEMENTARY ALGEBRA 4.0 Units Elementary algebra concepts, including: real numbers and their properties; algebraic expressions; integer exponents; operations with polynomial expressions; operations with polynomial expressions; linear and quadratic equations; linear inequalities and set notation; graphs of linear equations and inequalities; slope; systems of linear equations and inequalities; and modeling with linear and quadratic equations. Strongly Recommended: MATH 107 or MATH 107B or NMAT 207 with a minimum grade of C This class is offered for credit (MATH 110) or for tuition-free noncredit (NMAT 210). 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. 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 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 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 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 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 MATH 10 DISCRETE MATHEMATICS 4.0 Units Designed for majors inmathematics and computer science, this course provides an introduction to discrete mathematical structures used in Computer Science and their applications. Course content includes: Propositional and predicate logic; rules of inference; quantifiers; elements of integer number theory; set theory; methods of proof; induction; combinatorics and discrete probability; functions and relations; recursive definitions and recurrence relations; elements of graph theory and trees. Applications include: analysis of algorithms, Boolean algebras and digital logic circuits. Students who have completed, or are enrolled in, CS 17 may not receive credit. Prerequisite: MATH 1 and CS 1 with a minimum grade of C (May be taken concurrently) MATH 27 NUMBER SYSTEMS FOR EDUCATORS 3.0 Units This course focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. Prerequisite: MATH 50 or MATH 55 or NMAT 255 or NMAT 250 with a minimum grade of C MATH 30 COLLEGE ALGEBRA FOR STEM 4.0 Units College algebra core concepts relating to Science, Technology, Engineering and Mathematics (STEM) and Business fields are explored, such as: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; and analytic geometry. Multiple representations, applications and modeling with functions are emphasized throughout. May not receive credit if Mathematics 20 or 45 have been completed. Prerequisite: MATH 55 or MATH 55B or NMAT 255 with a minimum grade of C MATH 33 FINITE MATHEMATICS 4.0 Units Linear functions, systems of linear equations and inequalities, exponential and logarithmic functions and applications, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques, and an introduction to probability. Applications in business, economics and social sciences. Prerequisite: MATH 50 or MATH 55 or MATH 55B with a minimum grade of C MATH 34 CALC FOR BUS AND SOC SCIENCES 5.0 Units Functions and their graphs; limits of functions; differential and integral calculus of algebraic, exponential, and logarithmic functions. Applications in business, economics, and social sciences and use of graphing calculators. Partial derivatives and the method of Lagrange multipliers. Prerequisite: MATH 55 or MATH 55B with a minimum grade of C MATH 39 TRIGONOMETRY 4.0 Units Trigonometry includes definitions of the trigonometric functions and their inverses, graphs of the trigonometric functions and their inverses, trigonometric equations, trigonometric expressions and identities, including proofs, an introduction to vectors, polar coordinates and complex numbers. Applications include solving right triangles and solving triangles using the law of sines and the law of cosines. Prerequisite: MATH 55 or MATH 55B with a minimum grade of C. 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 Scan here to visit the current Spring 2022 class schedule online