This is the course catalog for the current academic year. When you have finished click the BACK button on your browser or the Return to CLASS-Web link at the bottom of the page
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This is the course catalog for the current academic year. When you have finished click the BACK button on your browser or the Return to CLASS-Web link at the bottom of the page |
| 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; 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 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| 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 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| 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 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| 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 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| 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: STEM | ||||
| 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) | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 27 | Number Systems for Educators | 3.00 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 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 30 | College Algebra for STEM | 4.00 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 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| 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: STEM | ||||
| 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: STEM | ||||
| 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: STEM | ||||
| 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: STEM | ||||
| 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: STEM | ||||
| MATH 50 | Intermediate Algebra for SLAM | 4.00 Units | ||
| This is an Intermediate Algebra course for students interested in fields of study that require Statistics or Liberal Arts Mathematics (SLAM). Intermediate algebra concepts will be explored in 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), one-to-one and invertible functions. Types of functions considered: 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. Strongly Recommeded: MATH 110 or MATH 110B or NMAT 210 with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 53A | Tech.Inter.Algebra-Welding A | 2.00 Units | ||
| This course provides a survey of algebraic processes with an emphasis on applications in welding. Topics covered include, but are not limited to: algebraic expressions, plane geometry, the geometry of solids, and triangle trigonometry. This course may not be used as a prerequisite for any transfer level course. Prerequisite: MATH 72C or MATH 72D with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 53B | Tech.Inter.Algebra-Welding B | 1.00 Unit | ||
| This course provides a survey of algebraic processes with an emphasis on applications in welding. Topics covered include, but are not limited to: quadratic equations, functions, and mathematical models. This course may not be used as a prerequisite for any transfer level course. Prerequisite: MATH 72D and MATH 53A with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 55 | Intermediate Algebra for BSTEM | 5.00 Units | ||
| Intermediate algebra concepts, in the service of Business, Science, Technology, Engineering and Math (BSTEM) will be explored in this course 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; 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 equations and inequalities. Multiple representations, applications and modeling with functions are emphasized throughout. Strongly Recommended: MATH 110 or MATH 110B or NMAT 210 with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 55C | Concurrent Support Int.Algebra | 1.00 Unit | ||
| This course is concurrent support for Intermediate Algebra. The course is designed to provide additional, formal support to students who are currently taking an Intermediate Algebra. It includes a review of arithmetic, algebraic and geometric concepts that are relevant to their Intermediate Algebra course, study strategies that promote understanding and improve performance, and more in-depth investigation of core concepts that are difficult for students to master. Embedded are learning skills such as growth mindset, brain research, time management, study skills, test taking, math anxiety and more. Corequisite: MATH 55 or NMAT 255 or MATH 50 or NMAT 50 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| Co-Requisites: MATH 55 | ||||
| MATH 66 | Math Jam for Calculus | .50 to 1.00 Unit | ||
| Math Jam for Calculus I is a credit course for students preparing for Calculus I. Embedded are essential study and life skills to develop each student holistically, including career development. Students will be learning basic skills and transfer-level material with the goal of preparing them to be successful in their upcoming class. It is strongly recommended that students taking this course are enrolled in a calculus course. | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 66C | Support for Calculus I | 1.00 Unit | ||
| This course offers structured support to students who who are concurrently enrolled in Calculus I. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. Corequisite: MATH 1 This is a one-way corequisite for Math 1. However, not everyone taking Math 1 would have to take this Math 66C concurrent support course. | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 67C | Concurrent Support Calculus II | 1.00 Unit | ||
| This course offers structured support to students who are concurrently enrolled in Calculus II. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. Corequisite: MATH 2 This is a one-way corequisite for Math 2. Everyone taking this Math 67C concurrent support course must be taking a Math 2 class concurrently. However, not everyone taking Math 2 would have to take this Math 67C concurrent support course. | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| Co-Requisites: MATH 2 | ||||
| MATH 68C | Concurrent Support Calcu III | 1.00 Unit | ||
| This course offers structured support to students who are concurrently enrolled in Calculus III. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. Corequisite: MATH 3 This is a one-way corequisite for Math 3. Everyone taking this Math 68C concurrent support course must be taking a Math 3 class concurrently. However, not everyone taking Math 3 would have to take this Math 68C concurrent support course. | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| Co-Requisites: MATH 3 | ||||
| MATH 72A | Tech Elementary Algebra A | 1.00 Unit | ||
| This course provides a survey of computational and elementary algebraic processes with an emphasis on applications in the automotive and welding trades. Topics covered include, but are not limited to: computations with real numbers, ratios, and proportions. This course cannot be used as a prerequisite for Math 50 Core Intermediate Algebra or Math 55 Intermediate Algebra. | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 72B | Tech. Elementary Algebra B | 1.00 Unit | ||
| This course provides a survey of computational and elementary algebraic processes with an emphasis on applications in the automotive and welding trades. Topics covered include, but are not limited to: linear equations, the rectangular coordinate system, and linear equations in two variables. This course cannot be used as a prerequisite for Math 50 Core Intermediate Algebra or Math 55 Intermediate Algebra. Prerequisite: MATH 72A with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 72C | Tech. Elementary Algebra C | 1.00 Unit | ||
| This course provides a survey of computational and elementary algebraic processes with an emphasis on applications in the automotive and welding trades. Topics covered include, but are not limited to: percentages and measurement. This course cannot be used as a prerequisite for Math 50 Core Intermediate Algebra or Math 55 Intermediate Algebra. Prerequisite: MATH 72A or MATH 72B with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 72D | Tech. Elementary Algebra D | 1.00 Unit | ||
| This course provides a survey of computational and elementary algebraic processes with an emphasis on applications in the automotive and welding trades. Topics covered include, but are not limited to: the rectangular coordinate system, linear equations in two variables, and systems of linear equations. This course cannot be used as a prerequisite for Math 50 Core Intermediate Algebra or Math 55 Intermediate Algebra. Prerequisite: MATH 72B and MATH 72C with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 100C | Concurrent Support SLAM Math | 1.00 Unit | ||
| Concurrent Support for SLAM Math is for students interested in disciplines that require Statistics and Liberal Arts Mathematics (SLAM) courses. This course offers structured support to students who are concurrently enrolled in a first-level transfer course, such as Statistics and Mathematics for Liberal Arts, and Finite Mathematics. The support course includes material to prepare students for the rigor of the transfer math course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic and geometric concepts, and more in-depth investigation of core concepts in their concurrent math course. Corequisite:MATH 40 or MATH 47 or MATH 33 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 101C | Concurrent Support BSTEM Math | 1.00 Unit | ||
| Concurrent Support for BSTEM Mathematics is for students interested in Business, Science, Technology, Engineering and Mathematical fields. This course offers structured support to students who are concurrently enrolled in a first-level transfer course, such as College Algebra, Trigonometry, and Business Calculus. The support course includes material to prepare students for the rigor of the transfer math course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic and geometric concepts, and more in-depth investigation of core concepts in their concurrent math course. Corequisite: MATH 30 This is a one-way corequisite for Math 30. Everyone taking this NMAT 201C concurrent support course must be taking a Math 30, math 39 or Math 34 class concurrently. However, not everyone taking Math 30 would have to take this NMAT 201C concurrent support course. Or MATH 39 This is a one-way corequisite for Math 39. Everyone taking this NMAT 201C concurrent support course must be taking a Math 30, math 39 or Math 34 class concurrently. However, not everyone taking Math 39 would have to take this NMAT 201C concurrent support course. Or MATH 34 This is a one-way corequisite for Math 34. Everyone taking this NMAT 201C concurrent support course must be taking a Math 30, Math 39 or Math 34 class concurrently. However, not everyone taking Math 34 would have to take this NMAT 201C concurrent support course. | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| 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. | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 110 | Elementary Algebra | 4.00 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 | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
| MATH 156 | Geometry | 3.50 Units | ||
| Topics include congruence, similarity, right triangles, trigonometry, circles, expressing geometric properties with equations, geometric measurement and dimension, modeling with geometry, conditional probability and the rules of probability, and using probability to make decisions. Prerequisite: MATH 110 or NMAT 210 with a minimum grade of C | ||||
| College: Las Positas College | ||||
| Division: STEM | ||||
Last Updated 12/20/2024 19:12