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Math LPC |
MATH 1 | Calculus I | 5.00 Units | ||
An introduction to single-variable differential and integral calculus including: functions, limits and continuity; techniques and applications of differentiation and integration; differentiation and integration of trigonometric, exponential and logarithmic functions; the Fundamental Theorem of Calculus; areas and volumes of solids of revolution. Prerequisite: MATH 20 with a minimum grade of C | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 2 | Calculus II | 5.00 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 5 hours lecture | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 3 | Multivariable Calculus | 5.00 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 5 hours lecture | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 5 | Ordinary Differential Equation | 3.50 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 3 hours lecture, 1.5 hours laboratory | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 7 | Elementary Linear Algebra | 3.50 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 | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 9 | Colloquium-Mathematics | 1.00 Unit | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH X | Supervised Programmed Learning | 2.50 to 5.00 Units | ||
Self-paced learning in mathematics using programmed materials under instructor supervision. Credit may be earned in Mathematics 36, 55, 55A, 55B, 65, 65A, 65B, 71, and 107, according to the level of achievement. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 10 | Discrete Mathematics | 4.00 Units | ||
Designed for majors in mathematics 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) 4 hours lecture, 1 hour laboratory. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 20 | Pre-Calculus Mathematics | 5.00 Units | ||
Rational and polynomial functions with emphasis on logical development and graphing. Solution of polynomial equations and inequalities, graphing conic sections, mathematical induction, binomial theorem; strengthening of skills in working with exponential, logarithmic, and trigonometric functions, equations, graphs, and applications. Prerequisites: MATH 39 or MATH 38 with a minimum grade of C 5 hours lecture, 1 hour laboratory | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 29 | Independent Study, Math | .50 to 2.00 Units | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 33 | Finite Mathematics | 4.00 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 | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 34 | Calc for Bus and Soc Sciences | 5.00 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 | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 36 | Trigonometry | 3.00 Units | ||
Topics include trigonometric functions, trigonometric equations, graphs, triangle solutions, identities, De Moivre's Theorem. Prerequisite: Mathematics 55 or 55B or 55Y and Mathematics 57 (both completed with a grade of "C" or higher), or two years of high school algebra and one year of plane geometry and appropriate skill level demonstrated through the Mathematics assessment process. CAN MATH 8 | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 36X | Trigonometry | 1.50 Units | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 36Y | Trigonometry | 1.50 Units | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 38 | Trigonometry with Geometry | 5.00 Units | ||
Plane trigonometry with topics from plane geometry. Geometry includes properties of polygons, parallel and perpendicular lines, congruence and similarity, area, volumes and surface area. Trigonometry includes definitions of the trigonometric functions, graphs of the trigonometric functions, trigonometric equations and inverse trigonometric functions, identities, polar coordinates and complex numbers. Applications involving right triangles, law of sines and law of cosines. Prerequisite: MATH 55 or MATH 55B with a minimum grade of C May not receive credit if MATH 36 or 36Y have been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 39 | Trigonometry | 4.00 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. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 40 | STATISTICS AND PROBABILITY | 4.00 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 | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 42A | Intro to Prob and Statistics | 3.00 Units | ||
Descriptive statistics, including measures of central tendency and dispersion; elements of probability; tests of statistical hypotheses; correlation and regression; applications in various fields. Introduction to the use of a computer software package to complete both descriptive and inferential statistics problems. Prerequisite: Mathematics 55 or 55B or 55Y (completed with a grade of "C" or higher) or an appropriate skill level demonstrated through the Mathematics assessment process. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 42AA | Intro Prob & Stat AP | 3.00 Units | ||
Math 42AA is an advanced placement course for credit only. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 43 | STATISTICAL ANALYSIS | 3.00 Units | ||
Statistical analysis, including comparisons of two populations, chi-square applications, analysis of variance, non-parametric, regression and correlation. Use of a computer software package to complete statistics problems. Prerequisite: Mathematics 42 or Mathematics 42A (completed with a grade of “C” or higher). | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 45 | College Algebra | 3.00 Units | ||
Polynomial, rational, exponential, and logarithmic functions; theory of equations; matrices; translation of functions; sequences, series and the binomial theorem. Prerequisite: Math 55 or Math 55B or 55Y with a minimum grade of C | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 47 | Mathematics for Liberal Arts | 3.00 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 | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 4950 | Math for Elemen School Teachrs | 3.00 Units | ||
This course is designed to provide assistance to elementary school teachers in two areas. To increase the elementary teacher's personal understanding of mathematics and to assist the elementary teacher with various techniques and alternatives that will aid in teaching of this integral part of the curriculum. The course will be based on the most current standards of the National Council of the Teachers of Mathematics and the State of California Department of Education, including functions, logic, numeration systems, real numbers, application of mathematics, problem solving and introduction of probability and statistics. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 4951 | Math Study Skills | 1.00 Unit | ||
This course is designed to assist students in learning mathematics through the development of successful study skills and exam taking methods. Designed primarily for beginning or intermediate algebra, this course addresses learning styles, how to read a math book, completing homework assignments, how to take notes and exams, basics of calculator operations and techniques for overcoming math anxiety. Strongly recommended: Eligibility for Math 65 or higher. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 50 | Core Intermediate Algebra | 4.00 Units | ||
Core concepts of intermediate algebra are explored within the context of the function. Function concepts covered include: distinction between functions and relations, domain and range, function notation, multiple representation of functions, behavior of functions, operations with functions (including composition) and, one-to-one and invertible functions. Types of functions considered: linear, absolute value, polynomial, rational, radical, exponential and logarithmic functions. The course includes an introduction to probability, counting and quantitative data. Standards for mathematical practice, applications of functions, and modeling with functions are emphasized throughout. Prerequisite: MATH 65 or MATH 65B with a minimum grade of C | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 51 | Algebra Bridge | 2.00 Units | ||
This course is intended for students who completed Math 50 Core Intermediate Algebra and need the equivalent of Math 55 Intermediate Algebra. The course covers content included in Math 55 but not Math 50. Topics include: operations with rational expressions; rational equations; operations with radical expressions; complex numbers; quadratic inequalities and equations quadratic in form; systems of three linear equations; properties of logarithms and logarithmic equations; conic sections; and non-linear systems. Students may not receive credit for both Math 55 and the combination of Math 50 and Math 51. Prerequisite: MATH 50 with a minimum grade of C | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 55 | Intermediate Algebra | 5.00 Units | ||
Intermediate algebra concepts, including: An introduction to functions; linear and absolute value functions; absolute value equations and inequalities; compound linear inequalities; systems of linear equations in three variables and matrix solutions; rational expressions, functions and equations; radical expressions, functions and equations; rational exponents; complex numbers; quadratic functions and equations; inverse of a function; exponential and logarithmic functions; properties of logarithms; exponential and logarithmic equations; conic sections; and systems of non-linear equations and inequalities. Multiple representations, applications and modeling with functions are emphasized throughout. Prerequisite: MATH 65 or MATH 65B with a minimum grade of C May not receive credit if MATH 55B has been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 55A | Intermediate Algebra A | 2.50 Units | ||
Concepts covered in the first half of Mathematics 55 Intermediate Algebra, including: An introduction to functions; linear and absolute value functions; absolute value equations and inequalities; compound linear inequalities; rational expressions, functions and equations; radical expressions, functions and equations; rational exponents; and complex numbers. Multiple representations, applications and modeling with functions are emphasized throughout. Prerequisite: MATH 65 or MATH 65B with a minimum grade of C May not receive credit if Mathematics 55 has been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 55B | Intermediate Algebra B | 2.50 Units | ||
Concepts covered in the second half of Mathematics 55 Intermediate Algebra, including: systems of linear equations in three variables and matrix solutions; inverse of a function; exponential and logarithmic functions; properties of logarithms; exponential and logarithmic equations; conic sections; systems on non-linear equations and inequalities. Multiple representations, applications and modeling with functions are emphasized throughout. Prerequisite: MATH 55A with a minimum grade of C May not receive credit if Mathematics 55 has been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 55E | Int. Algebra A Coreq. Support | 2.50 Units | ||
This credit course is a co-requisite for Intermediate Algebra A, the first half of Intermediate Algebra. This course is only available through manual enrollment for students who are taking Intermediate Algebra in the Emporium mode and have completed at least the Intermediate Algebra A material. This course will support students in achieving Intermediate Algebra A learning goals by providing support around mastering the necessary arithmetic, algebraic and geometric concepts that are relevant to their Intermediate Algebra A course. This course will provide study strategies that promote understanding and improve performance, more in-depth investigation of core concepts that are difficult for students to master, and learning skills. Corequisite: Math 55A Prerequisite: Math 65 or Math 65B with a minimum grade of C. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
Co-Requisites: MATH 55A | ||||
MATH 65 | Elementary Algebra | 5.00 Units | ||
Elementary algebra concepts, including: real numbers and their properties; algebraic expressions; integer exponents; 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, an introduction to rational expressions and modeling with linear and quadratic equations. Prerequisite: MATH 107 or MATH 107B with a minimum grade of C May not receive credit if Mathematics 65B has been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 65A | Elementary Algebra A | 2.50 Units | ||
Concepts covered in the first half of Math 65 Elementary Algebra, including: real numbers and their properties; algebraic expressions; linear equations; linear inequalities and set notation; graphs of linear equations and inequalities in two variables; slope; systems of linear equations and inequalities; and, an introduction to modeling with linear equations. This course is designed for those with no previous algebra background. Prerequisite:MATH 107 or MATH 107B with a minimum grade of C May not receive credit if Mathematics 65 or 65X have been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 65B | Elementary Algebra B | 2.50 Units | ||
Concepts covered in the second half of Mathematics 65 Elementary Algebra, including: integer exponents; operations with polynomial expressions; factoring techniques; quadratic equations and modeling with quadratic equations; and an introduction to rational expressions. Prerequisite: MATH 65A with a minimum grade of C May not receive credit if Mathematics 65 or 65Y have been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 65E | Elem. Algebra A Co.Support | 2.50 Units | ||
This credit course is a co-requisite for Elementary Algebra A, the first half of Elementary Algebra. This course is only available through manual enrollment for students who are taking Elementary Algebra in the Emporium mode and have completed at least the Elementary Algebra A material. This course will support students in achieving Elementary Algebra A learning goals by providing support around mastering the necessary arithmetic, algebraic and geometric concepts that are relevant to their Elementary Algebra A course. This course will provide study strategies that promote understanding and improve performance, more in-depth investigation of core concepts that are difficult for students to master, and learning skills. Corequisite: MATH 65A Prerequisite: MATH 107 or MATH 107B with a minimum grade of C. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
Co-Requisites: MATH 65A | ||||
MATH 71 | Applied Math for Technicians | 3.00 Units | ||
This course provides a survey of mathematical techniques used in the technical trades including: Arithmetic, both by-hand and with calculator; ratios, rates and proportions; metric and U.S. systems of measurements; an introduction to linear equations; scientific notation; plane and solid geometry; and, triangle trigonometry. There is an emphasis on practical applications related to a variety of technical fields throughout. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 71A | APPLIED MATH FOR TECHNICIANS A | 1.50 Units | ||
This course provides a survey of mathematical techniques used in the technical trades including: Arithmetic, both by-hand and with calculator; ratios, rates and proportions; metric and U.S. systems of measurement. There is an emphasis on practical applications related to a variety of technical fields throughout. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 71B | APPLIED MATH FOR TECHS B | 1.50 Units | ||
This course provides a survey of mathematical techniques used in the technical trades including: an introduction to linear equations; scientific notation; plane and solid geometry; and, triangle trigonometry. There is an emphasis on practical applications related to a variety of technical fields throughout. Prerequisite: MATH 71A or MATH 71X with a minimum grade of C May not receive credit if Mathematics 71 or 71Y or INDT 74 have been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 71X | Math for Technicians | 1.50 Units | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 71Y | Math for Technicians | 1.50 Units | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 100 | PRE-ALGEBRA & ALGEBRA REVIEW | 1.00 Unit | ||
Review basic mathematics and algebra content prior to taking the assessment exam for placement into a mathematics course or as a refresher prior to taking a mathematics course after a significant amount of time has passed since taking the prerequisite course or assessment. The course will consist of small group lecture and/or independent study using a computer program to review and refine those concepts as needed by each student. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 107 | PRE-ALGEBRA | 4.00 Units | ||
This course is intended to serve as a bridge between arithmetic and Elementary Algebra. It includes a review of arithmetic, operations involving signed integers, fractions and decimals, variables and variable expressions, simple linear equations and their graphs, percent and proportion, introduction to statistics, geometry and measurement, and application problems. 3 hours lecture, 3 hours laboratory. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 107A | PRE-ALGEBRA A | 2.00 Units | ||
This course is intended to serve as a bridge between arithmetic and Elementary Algebra. It includes a review of concepts covered in the first half of Mathematics 107 Pre-Algebra, including: review of arithmetic, operations involving signed integers, fractions, variables and variable expressions, and simple linear equations. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 107B | PRE-ALGEBRA B | 2.00 Units | ||
This course is intended to serve as a bridge between arithmetic and Elementary Algebra. It includes a review of concepts covered in the second half of Mathematics 107 Pre-Algebra, including: decimals, graphs of simple linear equations, percent and proportion, introduction to statistics, geometry and measurement, and application problems. Prerequisite: MATH 107A with a minimum grade of C May not receive credit if Mathematics 107 or 107Y has been completed. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 107E | Pre-Algebra A Co. Support | 2.00 Units | ||
This credit course is a co-requisite for Pre-Algebra A, the first half of PreAlgebra. This course is only available through manual enrollment for students who are taking PreAlgebra in the Emporium mode and have completed at least the PreAlgebra A material. This course will support students in achieving PreAlgebra A learning goals by providing support around mastering the necessary arithmetic, algebraic and geometric concepts that are relevant to their PreAlgebra A course. This course will provide study strategies that promote understanding and improve performance, more in-depth investigation of core concepts that are difficult for students to master, and learning skills. Corequisite: MATH 107A | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
Co-Requisites: MATH 107A | ||||
MATH 107X | Pre Algebra | 2.00 Units | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 107Y | Pre Algebra | 2.00 Units | ||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 1502 | Math For The Trades | 3.00 Units | ||
Basic skills mathematics course specifically designed for students in the trades, such as automotive technology or computer information systems. This class will cover the following areas: whole numbers, decimals, fractions, and integer calculations, ratio and proportions, angles, unit conversions, measurements and measurement tools and their application in the trades. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 1531 | Word Problem Workshop | .25 Units | ||
This workshop is designed to supplement science and/or mathematics courses. The focus of this workshop is the analysis, translation to symbols, solution and check for accuracy of word problems taken from science and/or mathematics courses. This is a short-term workshop meeting for a total of 4.5 hours. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 1532 | Reading & Creating Graphs | .25 Units | ||
This workshop is designed to supplement science and/or mathematics courses. The topics covered in the workshop include reading different types of graphs, creating well designed, appropriately scaled and labeled graphs of raw data and linearizing data to better understand the relationships represented. This is a short-term workshop meeting for a total of 4.5 hours. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 1533 | Ratios/Pcts/Unit Conversions | .25 Units | ||
This workshop is designed to supplement science and/or mathematics courses. The topics covered in the workshop include ratios, proportions, percents, and unit conversion, with applications to the American Standard and metric measurement systems. This is a short-term workshop meeting for a total of 4.5 hours. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 200 | Math Jam-Supvsd Learn Assist | .00 Units | ||
Math Jam is a free one-week intensive math program designed to prepare students for their upcoming math course, and prepare students to retake the Math Assessment (Placement Test). The goal of Math Jam is to help students complete their educational goal, degree, and/or transfer requirements in less time than previously possible. For more information, visit the Math Jam website at www.laspositascollege.edu/mathjam. | ||||
College: Las Positas College | ||||
Division: MSEPS | ||||
MATH 1AP | Calculus I AP | 5.00 Units | ||
Math 1AP is an advanced placement course for credit only | ||||
College: Las Positas College | ||||
Division: Science-Mathematics | ||||
MATH 2AP | Calculus II AP | 5.00 Units | ||
Math 2AP is an advanced placement course for credit only | ||||
College: Las Positas College | ||||
Division: Science-Mathematics | ||||
Last Updated 04/24/2018 15:02