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.
Transfer Applicability
Associate Degree Credit & transfer to CSU CSU General Education
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.
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.
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.
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.
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.
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