Las Positas | Summer-Fall 2024

30 SUMMER 2024 925.424.1000 | [email protected] SUMMER 2024 - 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 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 Students are strongly encouraged to enroll in a 1-unit credit Math 67C for individualized, interactive support in calculus II. 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 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. 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. Prerequisite: Intermediate Algebra or a higher level of mathematics. Students are strongly encouraged to enroll in a tuitionfree, noncredit NMAT 201C or a 1-unit credit Math 101C for individualized, interactive support in College Algebra. A TI-84 or TI-83 calculator or internet-based software may be required for some sections of this course. Classes will meet live (synchronously) online via ConferZoom at the time listed. MATH 34 BUSINESS CALCULUS 4.0 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: Intermediate Algebra or a higher level of mathematics. Students are strongly encouraged to enroll in a tuitionfree, noncredit NMAT 201C or a 1-unit credit Math 101C for individualized, interactive support in Business Calculus. 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. Please consult http://laspositascollege.edu/math/preferences. php for information on your instructors preferences regarding materials and testing. 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: Intermediate Algebra or a higher level of mathematics. Students are strongly encouraged to enroll in a tuitionfree, 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. Prerequisite: Intermediate Algebra or a higher level of level of mathematics. Students are strongly encouraged to enroll in a tuitionfree, 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: Intermediate Algebra or a higher level of mathematics. - ALL CONCURRENT SUPPORT - These Recommended Course Preparation 1-unit lab courses are aligned with your math course and designed with innovative strategies to provide math and learning support while taking a math course. Whether your math class is foundational or transfer level, the concurrent support provides assistance in understanding the content in your current math course while learning essential study skills necessary to succeed in college courses. These classes are offered for credit or tuition-free (noncredit), with the exception of MATH 66C, 67C, and 68C. MATH 66C SUPPORT FOR CALCULUS I 1.0 Units This course offers structured support to students who are concurrently enrolled in Calculus I. The support course includes

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