MATH 015 Refresher Course Series
Go to the Math Center page for information regarding the MATH 015 Refresher courses.
038 - Pre-Algebra and Study Skills, 4 hours lecture, 4 units (Letter Grade and Pass/No Pass Option)
Catalog Course Description
This course is a study of the fundamentals of arithmetic operations with signed numbers, including fractions and decimals as well as an introduction to some elementary topics in beginning algebra. Topics also include ratios and proportions, perfect squares and their square roots, elementary topics in geometry, systems of measurement, and monomial arithmetic. Students learn basic study skills necessary for success in mathematics courses. This course is intended for students preparing for Beginning Algebra.
Prerequisite
MATH 034A with a grade of "C" or better, or equivalent or Assessment Skill Level M20 and ENGL 042 with a grade of "C" or better, or equivalent or Assessment Skill Level R4
Transfer Applicability
Not applicable to the Associate Degree
046 - Elementary Algebra and Geometry, 5 hours lecture, 5 units (Letter Grade and Pass/No Pass Option)
Catalog Course Description
Elementary algebra and geometry serves as the foundation for other math courses and is the first of a two-course integrated sequence in algebra and geometry intended to prepare students for transfer level mathematics. This course covers the real number system; writing, simplifying, solving and graphing of linear equations in one variable; solving linear inequalities in one variable; solving systems of linear equations in two variables; algebraic operations with polynomial expressions and factoring; functions; operations involving rational expressions and related equations; and geometric properties of lines, angles, and triangles. It is intended for students preparing for higher-level geometry and algebra courses.
Prerequisite
MATH 038 with a grade of "C" or better, or equivalent or Assessment Skill Level M30
Advisory
ENGL 043 with a grade of "C" or better, or equivalent or Assessment Skill Level W4 and ENGL 048 with a grade of "C" or better, or equivalent or Assessment Skill Level R5
Transfer Applicability
Not applicable to the Associate Degree
057A (formerly 047A) - Beginning Algebra and Pratical Descriptive Statistics (Statway I), 3 hours lecture 3 hours lab, 4 units (Grade Only)
Catalog Course Description
This course is the first of a two course sequence in the study of statistical methods integrated with algebraic tools to prepare students to analyze processes encountered in society and the workplace. The course covers an introduction to algebra and descriptive statistics in an integrated approach. Topics include data collection, organizing and interpreting data graphically, qualitative and quantitative data sets, measures of central tendency and measures of dispersion, bivariate data and scatter plots, linear functions and their graphs, nonlinear functions and their graphs, and applying technology to calculate various types of regressions. Students are expected to implement technology to perform calculations to organize data in order to make statistical conclusions. This sequence of courses is intended for students that are not planning on majoring in a science, technology, engineering, or mathematics related disciplines.
Prerequisite
MATH 038 with a grade of "C" or better, or equivalent or Assessment Skill Level M30
Advisory
ENGL 043 with a grade of "C" or better, or equivalent or Assessment Skill Level W4 and ENGL 048 with a grade of "C" or better, or equivalent or Assessment Skill Level R5
Transfer Applicability
Not applicable to the Associate Degree
059A (formerly 048A) - Explorations in Foundation of Math, 4 hours lecture, 3 hours lab, 5 units (Letter Grade of Pass/No Pass Option)
Catalog Course Description
This is the first course in a two-course integrated sequence promoting analytical and critical thinking skills to prepare students for transfer-level mathematics courses. Students are constantly challenged to analyze and dissect a variety of problems in various mathematical fields, with the purpose of focusing on developing students' analytical and logical reasoning skills. Topics include numeracy; operations with numbers; functions; solving linear equations; graphically organizing data; constructing single and bi-variate graphs; reading, analyzing and interpreting graphs; applying mathematics in simple finance problems; and practical geometry. This course is intended for students in non-Science, Technology, Engineering, and Mathematics (STEM) majors, such as behavioral, social, business, and economic sciences, as well as other liberal arts majors.
Prerequisite
MATH 038 with a grade of "C" or better, or equivalent or Assessment Skill Level M30
Advisory
ENGL 047A with a grade of "C" or better, or equivalent or Assessment Skill Level W5/R5 or ENGL 048 with a grade of "C" or better, or equivalent or Assessment Skill Level R5 and ENGL 049 with a grade of "C" or better, or equivalent or Assessment Skill Level W5
Transfer Applicability
Not applicable to the Associate Degree
092 -Applied Beginning and Intermediate Algebra, 3 hours lecture, 3 hours lab, 4 units (Grade Only)
Catalog Course Description
This course emphasizes real world applications in the development of beginning and intermediate algebraic topics. Topics include a review of fractions, decimals and percents, as well as the development of linear, quadratic, rational, radical, exponential and logarithmic functions. This course is designed for those students whose major and transfer institution requires only statistics or math for liberal arts as the transfer level math course for the degree.
Limitation on Enrollment
This course is not open to students with previous credit for Math 265S or Math 96.
Transfer Applicability
Associate Degree Credit only and not Transferable
096 - Intermediate Algebra and Geometry, 5 hours lecture, 5 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
Intermediate algebra and geometry is the second of a two-course integrated sequence in algebra and geometry. This course covers systems of equations and inequalities, radical and quadratic equations, quadratic functions and their graphs, complex numbers, nonlinear inequalities, exponential and logarithmic functions, conic sections, sequences and series, and solid geometry. The course also includes application problems involving these topics. This course is intended for students preparing for transfer-level mathematics courses.
Prerequisite
MATH 046 with a grade of "C" or better, or equivalent or Assessment Skill Level M40 or
Corequisite
MATH 015B Enrollment through Learning Community 96X.
Advisory
ENGL 043 with a grade of "C" or better, or equivalent or Assessment Skill Level W4 & ENGL 048 with a grade of "C" or better, or equivalent or Assessment Skill Level R5
Transfer Applicability
Associate Degree Credit only and not Transferable
104 - Trigonometry - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course is a study of the numerical, analytical, and geometric properties of right and oblique triangles, of trigonometric and inverse trigonometric functions, and their applications. The course content includes right angle trigonometry, radian measure, circular functions, graphs of circular functions and their inverses, trigonometric identities, equations involving trigonometric and inverse trigonometric functions, an introduction of the complex plane, vectors and their operations, and the trigonometric form of complex numbers. This course is designed as a preparation for calculus and it is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences.
Prerequisite
MATH 096 with a grade of "C" or better, or equivalent or Assessment Skill Level M50
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education
107 - Introduction to Scientific Programming, 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option
Catalog Course Description
This course is an introduction to mathematical and scientific problem-solving on a computer; focusing on designing algorithms of a high level programming language. Extensive programming is required. Students are expected to plan and write programming projects with documentation. This course is recommended for students transferring to majors in Computer Science and /or mathematics.
Prerequisite
MATH 096 with a grade of "C" or better, or equivalent or Assessment Skill Level M50
Corequisite
MATH 107L
Advisory
ENGL 048 with a grade of "C" or better, or equivalent or Assessment Skill Level R5
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education
107L - Introduction to Scientific Programming Lab, 3 hours lab, 1 unit (Letter Grade or Pass/No Pass Option)
Catalog Course Description
Extensive programming is required. Students are expected to plan and write programming projects with documentation. This course is recommended for students transferring to majors in Computer Science and /or mathematics.
Corequisite
MATH 107
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education
115 - Gateway to Experimental Statistics (Statway II), 3 hours lecture, 3 hours lab, 4 units (Grade Only)
Catalog Course Description
This course is a second in the study of statistical methods integrated with algebraic tools to prepare students to analyze these processes encountered in society and the workplace. The course covers a review of functions, their geometric properties, counting principles and probability rules, probability distribution functions, sampling, and inferential statistics of one and two variable data sets. Students are expected to implement technology to perform calculations to analyze data and make statistical conclusions. This sequence of courses is intended for students that are not planning on majoring in a science, technology, engineering or mathematics related discipline.
Prerequisite
MATH 057A with a grade of "C" or better, or equivalent Statway I
Advisory
ENGL 043 with a grade of "C" or better, or equivalent or Assessment Skill Level W4 and ENGL 048 with a grade of "C" or better, or equivalent or Assessment Skill Level R5 or ENGL 047A with a grade of "C" or better, or equivalent or Assessment Skill Level W5/R5
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education UC Transfer Course List Limitation: Mathematics 115, 119, BIOL 200, BUSE 115 and PSYC 258 combined: maximum credit, one course. Students must complete both Statway courses. UC-transferable for students applying to UC for Fall 2016 and later. Please see a Counselor.
116 - College and Matrix Algebra, 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course is designed to strengthen the algebra skills of students seeking Business or Natural Science degrees who are required to take an applied calculus course. Topics in the course include the theory of functions; graphing functions; exponential and logarithmic functions; solving equations involving algebraic, exponential and logarithmic functions; solving systems of linear equations; matrix algebra; modeling; and applications problems. Analytical reading and problem solving skills are required for success in this course.
Prerequisite
MATH 096 with a grade of "C" or better, or equivalent or Assessment Skill Level M50
Transfer Applicability
Associate Degree Credit & transfer to CSU IGETC UC Transfer Course List Limitation: MATH 116 and 141 combined: maximum credit, 5 semester units. CSU General Education
118 - Math for the Liberal Arts Student, 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course covers a selection of topics from logical reasoning, quantitative literacy, the history of mathematics, statistics, probability, number theory, problem-solving techniques, and applications of mathematics to the liberal arts curriculum. Emphasis is placed on the development of an understanding and life long appreciation for critical thinking and mathematical problem solving. This is a general education mathematics course designed for students majoring in the liberal arts.
Prerequisite
MATH 096 with a grade of "C" or better, or equivalent or Assessment Skill Level M50 or MATH 092 with a grade of "C" or better, or equivalent or Assessment Skill Level M45
Advisory
ENGL 101 with a grade of "C" or better, or equivalent or Assessment Skill Level R6/W6
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education
119 - Elementary Statistics, 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course covers descriptive and inferential statistics. The descriptive portion analyzes data through graphs, measures of central tendency and dispersion. The inferential statistics portion covers statistical rules to compute basic probability, including binomial, normal, Chi-squares, and T-distributions. This course also covers estimation of population parameters, hypothesis testing, linear regression, correlation and ANOVA. Emphasis is placed on applications of technology, using software packages, for statistical analysis and interpretation of statistical values based on data from disciplines including business, social sciences, psychology, life science, health science and education. This course is intended for transfer students interested in statistical analysis.
Prerequisite
MATH 096 with a grade of "C" or better, or equivalent or Assessment Skill Level M50 or MATH 092 with a grade of "C" or better, or equivalent or Assessment Skill Level M45
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List Limitation: MATH 119, BIOL 200 or PSYC 258 combined: maximum credit, one course.
121 - Basic Techniques of Applied Calculus I, 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course examines the study of calculus using numerical, graphical, and analytical methods to analyze calculus problems encountered in real-world applications in business, natural/life sciences, and social sciences. Topics include limits, derivatives, and integrals of algebraic, exponential, and logarithmic functions, curve sketching, optimization, and areas under and between curves and partial derivatives and optimization of multivariable functions. This is the first course in a sequence of mathematics courses for students intending to major in business, economics, or natural and social sciences.
Prerequisite
MATH 116 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU IGETC UC Transfer Course List Limitation: MATH 121 and 150 combined: maximum credit, one course. CSU General Education
122 - Basic Techniques of Calculus II, 3 hours lectures, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This second course in a math sequence covers methods of integration, multivariable functions and optimization problems, differential equations, Taylor series development and application, derivatives and integrals of trigonometric functions, and their usage in solving problems encountered in real-world applications in business, life and social sciences and economics. This course is intended for students majoring in business, natural science, social science and economics.
Prerequisite
MATH 121 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List Limitation: MATH 122 and 151 combined: maximum credit, one course.
141 - Precalculus, 5 hours lecture, 5 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course is a study of numerical, analytical, and graphical properties of functions. The course content includes polynomial, rational, irrational, exponential, logarithmic, and trigonometric functions. Additional topics include: inverse functions, complex numbers, polar coordinates, matrices, conic sections, sequences, series and the binomial theorem. This course is designed as a preparation for calculus and is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences.
Prerequisite
MATH 104 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List Limitation: MATH 116 and 141 combined: maximum credit, 5 semester units.
150 - Calculus with Analytic Geometry I, 5 hours lecture, 5 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course is an introduction to university-level calculus requiring a strong background in algebra and trigonometry. The topics of study include analytic geometry, limits, differentiation and integration of algebraic and transcendental functions, and applications of derivatives and integrals. Emphasis is placed on calculus applications involving motion, optimization, graphing, and applications in the physical and life sciences. This course incorporates the use of technology. Analytical reading and problem solving are strongly emphasized in this course. This course is intended for students majoring in mathematics, computer science, physics, chemistry, engineering, or economics.
Prerequisite
MATH 141 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List Limitation: MATH 121 and 150 combined: maximum credit, one course.
150L - Calculus I Laboratory, 3 hours lab, 1 unit (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course is a workshop, project-oriented course dealing with exploration and development of the calculus topics introduced in Calculus and Analytic Geometry I. This course directly supports the calculus lectures by having hands-on, collaborative assignments where technology is strongly incorporated throughout all the in-class assignments. Students work individually and in small groups on explorations and applications thus extending the material presented in Mathematics 150. Topics including geometric, analytic and numeric applications of limits, derivatives and integrals as well as calculus applications found in the physical and life sciences. This course is intended for all students currently enrolled in Mathematics 150.
Prerequisite
MATH 141 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU UC Transfer Course List
151 - Calculus with Analytic Geometry II, 4 hours lecture, 4 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This is the second course in the calculus and analytic geometry sequence. This course covers more advanced topics in analytic geometry, differentiation and integration of algebraic and transcendental functions, infinite series, Taylor series, and parametric equations. This course also covers a general introduction to the theory and applications of power series, techniques of integration, and functions in polar coordinates, as it serves as a basis for multivariable calculus and differential equations, as well as most upper division courses in mathematics and engineering. This course is intended for the transfer student planning to major in mathematics, computer science, physics, chemistry, engineering or economics.
Prerequisite
MATH 150 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List Limitation: MATH 122 and 151 combined: maximum credit, one course.
210A - Concepts of Elementary School Mathematics I, 3 hour lecture, 3 units (Grade Only)
Catalog Course Description
This course is a study of the mathematical concepts needed for teaching elementary school mathematics with emphasis on number and function. This course promotes an appreciation of the importance of logical thinking and applications of mathematics in problem solving and critical thinking. It studies the basic computational skills, but also requires the understanding and explanation of the basic mathematical concepts and the connections between them. This course includes content relevant to national and state curriculum standards for elementary school mathematics. It is designed for students preparing for credentials in elementary education.
Prerequisite
MATH 096 with a grade of "C" or better, or equivalent or Assessment Skill Level M50 or MATH 092 with a grade of "C" or better, or equivalent or Assessment Skill Level M45
Advisory
ENGL 101 with a grade of "C" or better, or equivalent or Assessment Skill Level R6/W6
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education UC Transfer Course List Limitation: MATH 210A and 210B combined: maximum credit, one course.
210B - Concepts of Elementary School Mathematics II, 3 hours lecture, 3 units (Grade Only)
Catalog Course Description
This course is the second course in a one-year sequence in the study of the mathematical concepts needed for teaching elementary school mathematics with emphasis on geometry, transformational geometry, and measurement. This course also promotes an appreciation of the importance of logical thinking and applications of mathematics in problem solving and critical thinking. It studies the understanding and explanation of the basic mathematical concepts and the connections between them. It is designed especially for students preparing for credentials in elementary education. Analytical reading and problem solving are required for success in this course.
Prerequisite
MATH 210A with a grade of "C" or better, or equivalent
Advisory
ENGL 101 with a grade of "C" or better, or equivalent or Assessment Skill Level R6/W6 or ENGL 105 with a grade of "C" or better, or equivalent or Assessment Skill Level R6/W6
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education UC Transfer Course List Limitation: Math 210A and 210B combined: maximum credit, one course.
245 - Discrete Mathematics, 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course is an introduction to the theory of discrete mathematics and introduces elementary concepts in logic, set theory, and number theory. The topics covered include propositional and predicate logic, methods of proof, set theory, Boolean algebra, number theory, equivalence and order relations, and functions. This forms a basis for upper division courses in mathematics and computer science, and is intended for the transfer student planning to major in these disciplines.
Prerequisite
MATH 122 with a grade of "C" or better, or equivalent or MATH 151 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List
252 - Calculus with Analytic Geometry III, 4 hours lecture, 4 units (Grade Only)
Catalog Course Description
This course includes the algebra and geometry of 2 and 3 dimensional Euclidean vectors, the algebra and calculus of multivariable functions including composition of functions, limits, continuity, partial differentiation, gradients, higher order derivatives, the chain rule, constrained and unconstrained optimization including Lagrange's theorem, multiple integrals, integrals over paths and surfaces, and integral theorems of vector analysis. This course is intended as a general introduction to the theory and applications of multivariable calculus. This course is essential for most upper division courses in mathematics and forms part of the foundation for engineering and physics. The course is intended for the students interested and/or planning to major in mathematics, physics, astronomy, engineering, computer science, physical chemistry, operational research, or economics.
Prerequisite
MATH 151 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List
254 - Introduction to Linear Algebra, 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)
Catalog Course Description
This course serves as an introduction to the theory and applications of elementary linear algebra, and is the basis for most upper division courses in mathematics. The topics covered in this course include matrix algebra, Gaussian Elimination, systems of equations, determinants, Euclidean and general vector spaces, linear transformations, orthogonality and inner product spaces, bases of vector spaces, the Change of Basis Theorem, eigenvalues, eigenvectors, the rank and nullity of matrices and introduction to linear transformations. This course is intended for the transfer student planning to major in mathematics, physics, engineering, computer science, operational research, economics, or other sciences.
Prerequisite
MATH 151 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List
255 - Differential Equations, 3 hours lecture, 3 units (Grade Only)
Catalog Course Description
This course covers first order and higher order ordinary differential equations and their applications. Topics include linear first order and higher order equations, homogeneous and nonhomogeneous equations with constant or variable coefficients, and systems of ordinary differential equations. Methods used to solve equations include substitution methods, integrating factors, reduction of order, variation of parameters, power series solutions, and Laplace transforms. This course is an introduction to the theory and applications of differential equations and is the basis for many upper division courses in engineering, physics, and mathematics. It is intended for the transfer student planning to major in mathematics, engineering, operational research, physics, or other physical science subjects.
Prerequisite
MATH 252 with a grade of "C" or better, or equivalent and MATH 254 with a grade of "C" or better, or equivalent
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education IGETC UC Transfer Course List