# Mathematics Department - Course Descriptions

105 ARITHMETIC FOR COLLEGE (NDA) - 3 UNITS |

Prerequisite: None. Lecture: 3 hours. |

A review of elementary arithmetic. Topics include whole numbers, fractions, decimals, percent, measurements (including the metric system), and an introduction to elementary algebra. |

112 PRE-ALGEBRA (NDA) - 3 UNITS |

Prerequisite: Math 105 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 3 hours. |

This course bridges the gap between arithmetic and algebra. Topics include a review of arithmetic and an introduction to fundamental algebraic concepts. |

115 ELEMENTARY ALGEBRA 5 UNITS |

Prerequisite: Math 112, or appropriate skill level demonstrated through the MATH assessment process or by permit. Lecture: 5 hours. |

An introduction to the concepts of algebra, including signed numbers, exponents, linear equations, graphs, and quadratic equations. Contains a variety of problems. |

121 ESSENTIALS OF PLANE GEOMETRY 3 UNITS |

Prerequisite: Math 125 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 3 hours. |

This course covers the definitions, axioms, and theorems of geometry relating to angles, lines, circles, polygons, and polyhedra. It also provides an introduction to formal proofs, logic, and construction methods with straight-edge and compass. |

125 INTERMEDIATE ALGEBRA 5 UNITS |

Prerequisite: Math 115 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 5 hours. |

Fundamental laws, exponents, radicals, equations (linear, quadratic, and some of higher degree), systems of equations and inequalities (linear and quadratic), conics, complex numbers, functions, logarithms and binomial theorem. |

215 PRINCIPLES OF MATHEMATICS (UC:CSU ) - 3 UNITS |

(CAN MATH 4) Prerequisites: Math 121 and 125, or Math 120 and 125, or appropriate skill level demonstrated through the MATH assessment process. Lecture: 3 hours. |

Primarily for students who plan to teach arithmetic in elementary schools. Course includes the language of sets; systems of numeration; nature of numbers and fundamental operations; number theory; functions and the field of real numbers. |

227 ELEMENTARY STATISTICS (UC:CSU ) - 4 UNITS |

(CAN STAT 2) Prerequisite: Math 125 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 4 hours. |

Course includes the following topics: graphical techniques; probability and probability distributions; sampling; estimation; correlations; regression; hypotheses testing; categorical data. Emphasis is on data analysis and interpretation, using sample data to extrapolate population characteristics. |

235 FINITE MATHEMATICS (UC:CSU ) - 5 UNITS |

Prerequisite: Math 125 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 5 hours. |

This course is an introduction to mathematical topics of a noncalculus nature, introducing logic and set theory, matrix algebra and linear spaces, probability and statistics, linear programming, and game theory. |

238 CALCULUS FOR BUSINESS AND SOCIAL SCIENCE (UC:CSU) - 5 UNITS |

Prerequisite: Math 125 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 5 hours. |

Course includes the following topics and their business applications: polynomial, exponential and logarithmic functions; differentiation and integration; integration by parts; numerical integration; improper integrals; multivariable calculus. |

240 TRIGONOMETRY (CSU) - 3 Units |

(CAN MATH 8) Prerequisites: Math 121 and 125, or Math 120 and 125 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 3 hours. |

This course studies the trigonometric functions, including their values, graphs, inverses, and verifying identities. It also includes solving right triangles and others, radian measure and polar equations. |

245 COLLEGE ALGEBRA (UC:CSU) - 3 UNITS |

(CAN MATH 10) Prerequisite: Math 125 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 3 hours. |

The properties of real numbers, relations, functions and their graphs, matrices and determinants, complex numbers, theory of equations, permutations, combinations, and probability. |

260 PRE-CALCULUS (UC:CSU) - 5 UNITS |

(CAN MATH 16) Prerequisite: Math 240 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 5 hours. |

This course consists of topics essential for a comprehensive background for the calculus sequence. Topics include functional analysis, analytic geometry, theory of equations, induction, sequences and series, trigonometry and polar coordinates. |

265 CALCULUS WITH ANALYTIC GEOMETRY I (UC:CSU) - 5 UNITS |

(CAN MATH 18; CAN MATH SEQ B: Math 265 + 266;CANMATH SEQ C: Math 265 + 266 + 267) Prerequisites: Math 240 and 245 or 260 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 5 hours. |

First course of calculus and includes functions, limits, derivatives and their applications, differentials, integrals and their applications. |

266 CALCULUS WITH ANALYTIC GEOMETRY II (UC:CSU) - 5 UNITS |

(CAN MATH 20; CAN MATH SEQ B: MATH 265 + 266;CANMATH SEQ C: Math 265 + 266 + 267) Prerequisite: Math 265 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 5 hours. |

Second course of calculus. Includes differentiation and integration of transcendental functions, polar coordinates, specialized methods of integration, vectors, parametric equations, and infinite series. |

267 CALCULUS WITH ANALYTIC GEOMETRY III (UC:CSU) - 5 UNITS |

(CAN MATH 22;CAN MATH SEQ C: Math 265 + 266 + 267). Prerequisite: Math 266 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 5 hours. |

Third course of calculus, includes solid analytic geometry, partial differentiation,multiple integration, vector analysis, infinite series, and an introduction to differential equations. |

270 LINEAR ALGEBRA (UC:CSU) - 3 UNITS |

(CAN MATH 26) Prerequisite: Math 266, or appropriate skill level demonstrated through the MATH assessment process. Lecture: 3 hours. |

This course covers vector spaces, linear transformation, matrices, matrix algebra, determinants, eigen vectors, and eigen values. |

275 ORDINARY DIFFERENTIAL EQUATIONS (UC:CSU) - 3 UNITS |

(CAN MATH 24) Prerequisite: Math 266 or appropriate skill level demonstrated through the MATH assessment process. Lecture: 3 hours. |

First and higher order linear equations are treated completely including techniques of exactness, separation of variables, 1 special cases of nonlinear equations are investigated. |