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CLASS-Web Course Catalog Academic Year 2018-2019

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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; 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 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 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 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 110 or MATH 110B with a minimum grade of C
College: Las Positas College
Division: STEM
 
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: STEM
 
MATH 52A Tech. Inter. Algebra- Auto A 1.50 Units
This course provides a survey of algebraic processes with an emphasis on applications in the automotive trades. Topics covered include, but are not limited to: algebraic expressions; quadratic functions; and functions. This course may not be used as a prerequisite for any transfer level course. Prerequisite: MATH 72D with a minimum grade of C
College: Las Positas College
Division: STEM
 
MATH 52B Tech. Inter. Algebra- Auto B 1.50 Units
This course provides a survey of algebraic and geometric processes with an emphasis on applications in the automotive trades. Topics covered include, but are not limited to: plane geometry; linear regression, financial mathematics, and measures of central tendency. This course is not intended as a prerequisite for any transfer level course. Prerequisite: MATH 52A 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 STEM 5.00 Units
Intermediate algebra concepts, in the service of Science, Technology, Engineering and Math (STEM) and Business fields, 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. Prerequisite: MATH 110 or MATH 110B with a minimum grade of C. May not receive credit if MATH 55B has been completed.
College: Las Positas College
Division: STEM
 
MATH 55A Inter. Algebra For STEM A 2.50 Units
Concepts covered in the first half of Intermediate Algebra, in the service of Science, Technology, Engineering and Math (STEM) fields 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. Prerequisite: MATH 110 or MATH 110B with a minimum grade of C Corequisite: MATH 55E May not receive credit if Mathematics 55 has been completed.
College: Las Positas College
Division: STEM
 
MATH 55B Intermediate Algebra B 2.50 Units
Concepts covered in the second half of Intermediate Algebra, concepts, in the service of Science Technology, Engineering and MATH (STEM) fields 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 exponents; complex numbers; quadratic functions and equations; inverse of a function; exponential and logarithmic functions; properties of logarithms; exponential and logarithmic equations; conic sections; systems of equations and inequalities. Multiple representations, applications and modeling with functions are emphasized throughout. Prerequisite: MATH 55A with a minimum grade of C Corequisite: MATH 55F May not receive credit if Mathematics 55 has been completed.
College: Las Positas College
Division: STEM
 
MATH 55C Inter. Algebra Co-req Support 2.00 Units
This course is a co-requisite for Intermediate Algebra. The course is designed to provide additional support to students who are currently taking an Intermediate Algebra course, such as students who would like formal, built-in support, students who have not placed into Math 55 but hope to accelerate through the sequence of basic skill math courses, or those who are repeating the course. This course will support students in achieving Intermediate Algebra learning goals by providing a review of arithmetic, algebraic and geometric concepts that are relevant to their Intermediate Algebra course, by providing 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. Prerequisite: MATH 107 or MATH 107B with a minimum grade of C Corequisite: MATH 55
College: Las Positas College
Division: STEM
Co-Requisites: MATH 55
 
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. Prerequisite: Math 110or Math 110B with a minimum grade of C. Corequisite: Math 55A
College: Las Positas College
Division: STEM
Co-Requisites: MATH 55A
 
MATH 55F Inter.Algebra B Co-req Support 2.50 Units
This credit course is a co-requisite for Intermediate Algebra B, the second half of Intermediate Algebra. This course is only available when taken concurrently with an intermediate Algebra B course in the Emporium mode. This course will support students in achieving Intermediate Algebra B learning goals by providing support around mastering the necessary arithmetic, algebraic and geometric concepts that are relevant to their Intermediate Algebra B 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. Prerequisite: MATH 55A with a minimum grade of C Corequisite: MATH 55B
College: Las Positas College
Division: STEM
Co-Requisites: MATH 55B
 
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: STEM
 
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: STEM
 
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: STEM
 
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: STEM
Co-Requisites: MATH 65A
 
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: STEM
 
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 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 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. Corequisite: MATH 107E
College: Las Positas College
Division: STEM
 
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 Corequisite: MATH 107F May not receive credit if Mathematics 107 or 107Y has been completed.
College: Las Positas College
Division: STEM
 
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: STEM
Co-Requisites: MATH 107A
 
MATH 107F Pre-Algebra B Co-Req Support 2.00 Units
This credit course is a co-requisite for Pre-Algebra B, the second half of Pre-Algebra. This course will support students in achieving Pre-Algebra B learning goals by providing support around mastering the necessary arithmetic, algebraic and geometric concepts that are relevant to their PreAlgebra B 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. Prerequisite: MATH 107A with a minimum grade of C Corequisite: MATH 107B
College: Las Positas College
Division: STEM
Co-Requisites: MATH 107B
 
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. May not receive credit if Mathematics 65B has been completed. Prerequisite: MATH 107 or MATH 107B with a minimum grade of C
College: Las Positas College
Division: STEM
 
MATH 110A Elementary Algebra A 2.00 Units
Concepts covered in the first half of Elementary Algebra, 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 modeling with linear and quadratic equations. May not receive credit if MATH 110, 65 or 65A have been completed. Prerequisite:MATH 107 or MATH 107B with a minimum grade of C Corequisite: MATH 110E
College: Las Positas College
Division: STEM
 
MATH 110B Elementary Algebra B 2.00 Units
Concepts covered in the second half of Elementary Algebra, 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 modeling with linear and quadratic equations. May not receive credit if MATH 65 or 65B have been completed. Prerequisite: MATH 110A with a minimum grade of C
College: Las Positas College
Division: STEM
 
MATH 110C Elemen. Algebra Coreq. Support 2.00 Units
This course is a corequisite for Elementary Algebra. The course is designed to provide additional support to students who are currently taking an Elementary Algebra course, such as students who would like formal, built-in support, students who have not placed into Math 65 but hope to accelerate through the sequence of basic skill math courses, or those who are repeating the course. This course will support students in achieving Elementary Algebra learning goals by providing a review of arithmetic, algebraic and geometric concepts that are relevant to their Elementary Algebra course, by providing 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 110
College: Las Positas College
Division: STEM
Co-Requisites: MATH 110
 
MATH 110E Ele. Algebra A Coreq. Support 2.00 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 during the semester for students who are taking Elementary Algebra in the Emporium mode and are on track to complete at least the Elementary Algebra A material. This course will support students in achieving 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. Prerequisite: MATH 107 or MATH 107B with a minimum grade of C Corequisite: MATH 110A
College: Las Positas College
Division: STEM
Co-Requisites: MATH 110A
 
MATH 110F Elem. Algebra B Coreq Support 2.00 Units
This credit course is a co-requisite for Elementary Algebra B, the second half of Elementary Algebra. This course is only available through corequisite enrollment with an Elementary Algebra B course taken in the Emporium mode. This course will support students in achieving Elementary Algebra B learning goals by providing support around mastering the necessary arithmetic, algebraic and geometric concepts that are relevant to their Elementary Algebra B 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. Prerequisite: MATH 110A with a minimum grade of C Corequisite: MATH 110B
College: Las Positas College
Division: STEM
Co-Requisites: MATH 110B
 

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