## Courses and Major

### Mathematics Major

The Department offers two options for an Associate in Science in Mathematics degree. The General option provides a rounded background in the mathematical sciences and statistics and is suitable as a terminal degree or for transfer to any 4-year college or university as a mathematics major. The Transfer option aligns with the State TMC to streamline transfer to a California State University as a mathematics major.

### Associate Degree for Transfer (ADT)

**Required**

- Math 1A Single Variable Calculus I (4 units)
- Math 1B Single Variable Calculus II (4 units)
- Math 1C Multivariable Calculus (4 units) (formerly Math 2A)

**Select one course from the following**

- Math 2 Ordinary Differential Equations (3 units) (formerly Math 2B)
- Math 3 Linear Algebra (3 units)

**Select one additional course from the following**

- Math 2 Ordinary Differential Equations (3 units)
- Math 3 Linear Algebra (3 units)
- Phys 4A Mechanics (4 units)
- Comsc 6 Basic Programming (3 units)
- Comsc 7 introduction to Visual BASIC Programming (3 units)
- Comsc 9A C++ Programming (4 units)

Total units required for degree major: 18-19 units

### Mathematics and Statistics Courses

Click here to access the visual representation of the math sequence.

Click here to access the course student learning outcomes.

Note: Any errors below are inadvertent. Always refer to the official college course outlines on CurricUNET. Where applicable, the State C-ID course number is referenced. The semesters in which a course is normally offered is noted below the course name.

Skip to Math 1C, Math 2A, Math 2, Math 3, Math 7, Math 9, Math 10, Math 15, Math 16, Math 17,

Math 20, Math 21, Math 25, Math 51, Math 52, Math 52A, Math 52B, Math 55,

Math 58, Math 101, Math 101A, Math 101B, Math 111, Stat 1.

Course No. | Course Name | Description |
---|---|---|

Math 1A C-ID Math 210 |
Single Variable Calculus I - Early Transcendentals (4 units) F,S |
A first course in differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; fundamental theorem of calculus. Primarily for science, technology, engineering, and mathematics majors. Pre-requisite: both MATH 20 and MATH 21 |

Math 1B C-ID Math 220 |
Single Variable Calculus II - Early Transcendentals (4 units) S,Su |
A second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. Primarily for science, technology, engineering & mathematics majors. Pre-requisite: MATH 1A |

Math 1C (formerly Math 2A) C-ID Math 230 |
Multivariable Calculus (4 units) F |
Vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s theorem, Stokes’ theorem, divergence theorem. Pre-requisite: MATH 1B |

Math 2 (formerly Math 2B) C-ID Math 240 |
Ordinary Differential Equations (3 units) S |
The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, Laplace transforms and linear systems. Pre-requisite: MATH 1B |

Math 3 C-ID Math 250 |
Linear Algebra (3 units) S |
This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. Pre-requisite: MATH 1B |

Math 9 C-ID Math 140 |
Calculus for Business, Social and Life Science (4 units) S |
Topics of calculus including differentiation, integration, graphs, limits, and rates. Applications from economics, business, life science, and behavioral science. Not open for credit to students with credit in Math 1A. Pre-requisite: MATH 52 or MATH 52B |

Math 10 | Liberal Arts Mathematics (3 units) F,S |
Designed for students majoring in areas other than science, math, or business to give appreciation and insight into structure and applications of math. Some typical topics, to be chosen by instructor, may include probability and statistics, sequences and series, population growth, graph theory, geometry and topology, number theory, history of math, finance math, voting methods and apportionment. Pre-requisite: MATH 52 |

Math 15 (formerly Math 15A) | Concepts and Structures of Mathematics (3 units) F |
Designed for students who plan to become elementary school teachers. In depth study of mathematical system with emphasis on problem-solving, real numbers, set theory, logic, number theory, and fundamental counting problems. Essays on topics of current interest to the teaching profession, class presentations, and a study of techniques and materials used in today's elementary school classroom may also be included. Pre-requisite: MATH 52 |

Math 16 (formerly Math 15B) | Concepts and Structures of Mathematics (3 units) S |
Designed for students who plan to become elementary school teachers. Problem-solving, probability and statistics, measurement and the metric system, and geometry. Essays on topics of current interest to the teaching profession, class presentations, and a study of techniques and materials used in today's elementary school classroom may also be included. Pre-requisite: MATH 51 and MATH 52 |

Math 20 C-ID Math 151 |
College Algebra (4 units) F,S,Su |
College level course in algebra for majors in science, technology, engineering, and mathematics. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions, systems of equations, theory of polynomial equations, and analytic geometry. Pre-requisite: MATH 52 |

Math 21 | Plane Trigonometry (3 units) F,S,Su |
Trigonometric functions, fundamental formulas, identities, solution of triangles, and complex numbers. Pre-requisite: MATH 52 |

Math 25 C-ID Math 130 |
Finite Mathematics (3 units) S |
Linear functions, systems of linear equations and inequalities, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications in business, economics and social sciences. Pre-requisite: MATH 52 |

Math 51 | Plane Geometry (3 units) S |
Introductory plane geometry, the study of geometric relationships in the plane from inductive and deductive viewpoints. Satisfies the university admission requirements of high school plane geometry. Pre-requisite: MATH 101 (formerly MATH 50) |

Math 52 | Intermediate Algebra (4 units) F,S,Su |
Fundamental operations of algebra; linear and quadratic equations and inequalities; exponents and polynomials; rational expressions; radicals and fractional exponents; graph of a straight line; linear and quadratic system of equations; conic sections; exponential and logarithmic functions. Pre-requisite: MATH 101 (formerly MATH 50) |

Math 52A | Intermediate Algebra First Half (3 units) F,S |
Intermediate algebra. Topics include: factoring polynomials, rational expressions, radicals, rational exponents and complex numbers. Designed for a variety of students, including those who have been unsuccessful in Math 52, are math anxious, or desire a slower paced, year-long version of Math 52 Intended to provide students with additional exposure to algebraic concepts and additional time to practice them. This course is the first half of Intermediate Algebra. Math 52A and 52B must both be taken to be equivalent to Math 52 for courses that require Math 52 as a prerequisite, or to meet a degree requirement. Pre-requisite: MATH 101 (formerly MATH 50) |

Math 52B | Intermediate Algebra Second Half (3 units) F,S |
Intermediate algebra. Topics include: quadratic equations and functions, exponential and logarithmic functions, conic sections, linear systems in three variables, nonlinear systems, and variation. Designed for a variety of students, including those who have been unsuccessful in Math 52, are math anxious, or desire a slower paced, year-long version of Math 52. Intended to provide students with additional exposure to algebraic concepts and additional time to practice them. This course is the second half of lntermediate Algebra. Math 52A and Math 52B must both be taken to be equivalent to Math 52 for courses that require Math 52 as a prerequisite, or to meet a degree requirement. Pre-requisite: MATH 52A |

Math 55 | History of Algebra (3 units) |
A history of algebra from ancient times up to the 18th century. Introduction to a variety of number systems; the operations of addition, subtraction, multiplication, and division, and the finding of square roots; sets and logic; rational, irrational, real, and complex numbers; Greek number theory; linear, quadratic, and cubic equations; and applications (including proportions, variation, compound interest, exponential growth and decay). Ideas and methods from different parts of the world and at different times are mainly presented in their historical context. This course satisfies the AA and AS degree requirement, but it does not satisfy the prerequisite for a transferable mathematics or statistics course. |

Math 58 | Quantitative Reasoning (3 units) F |
Interpretation of and reasoning with quantitative information. Coverage of logic; units analysis; uses and abuses of percentages, ratios, and indices; financial management; and statistics. This course satisfies the AA and AS degree requirement but does not satisfy the prerequisite for a transferable math course. Pre-requisite: MATH 101 (formerly MATH 50) |

Math 101 (formerly Math 50) |
Elementary Algebra (4 units) F,S,Su |
Introductory algebra. Topics include: signed numbers, graphing, linear equations, quadratic equations, and systems of linear equations in two variables. Pre-requisite: MATH 111 |

Math 101A (formerly Math 50A) |
Elementary Algebra First Half (3 units) F,S |
Introductory algebra. Topics include: signed numbers, graphing, linear equations, and introduction to functions. Designed for a wide variety of students, including those who have been unsuccessful in Math 50, are math anxious, or desire a slower paced, year-long version of Math 50. Intended to provide students with additional exposure to algebraic concepts and additional time to practice them. It is the first half of Elementary Algebra and, together with Math 50B, is equivalent to Math 50 for courses that require Math 50 as a prerequisite. Pre-requisite: MATH 111 |

Math 101B (formerly Math 50B) |
Elementary Algebra Second Half (3 units) F,S |
Introductory algebra. Topics include: graphing, quadratic equations, absolute value equations, systems of linear equations in two variables, compound inequalities, factorization of polynomials. Designed for a wide variety of students, including those who have been unsuccessful in Math 50, are math anxious, or desire a slower paced, year-long version of Math 50. Intended to provide students with additional exposure to algebraic concepts and additional time to practice them. It is the second half of Elementary Algebra and, together with Math 50A, is equivalent to Math 50 for courses that require Math 50 as a prerequisite. Math 50B is also suitable for students who desire to review the latter part of Math 50 before taking Math 52. Pre-requisite: MATH 101A (formerly MATH 50A) |

Math 111 | Prealgebra (4 units) F,S,Su |
Seeks to develop algebraic thinking. Topics include: operations on the rational numbers; exponents; the order of operations; the real numbers and their decimal number representation; the field axioms; introduction to algebra; graphing in two dimensions; percent, ratio, proportion, basic geometry; conversion of units; and problem solving using equations. Pre-requisite: None |

Stat 1 C-ID Math 110 |
Introduction to Statistical Methods (4 units) F,S,Su |
Descriptive statistics; measures of central tendency, variation, and correlation. Probability, sampling, and sampling distributions. Inferential statistics: estimation and tests of statistical hypotheses. For majors in natural science, social science, and business. Pre-requisite: MATH 52 |

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Last modified on August 8, 2017. (Please report dead links.)