# Certificate in Introductory Mathematics

**Requirements (48 units)**

Certificates may be earned by regularly matriculated or extended learning students and denote successful completion of a prescribed program of study designed to:

- impart specified professional/vocational/career competencies; or
- produce mastery of the content of a sub-field of an academic major (discipline); or
- provide exposure to the range of materials in a traditional or emerging interdisciplinary field.

Certain certificate programs contain 600-level courses as requirements and/or electives. These 600-level courses may not be taken by undergraduate students. Candidates must receive two-thirds of their certificate-applicable credit from the university. The transferring of credit or the substitution of courses may occur only after application to the appropriate campus authority.

The Certificate in Introductory Mathematics has been approved by the California Commission on Teaching Credentialing to meet the required components for the Subject Matter Authorization: Introductory Mathematics. Completion of this program allows students to apply for the Subject Matter Authorization: Introductory Mathematics for teaching the content matter up through the ninth grade mathematics.

Holders of a valid California teaching credential who satisfy the following requirements in algebra, geometry, and development of the real number system and who complete at least thirty units of this certificate may apply to the California Commission on Teacher Credentialing for a supplementary authorization in mathematics.

## Certificate Requirements

Courses must be completed with a grade of "C" or better.

Component Areas (20) | ||

Select at least one course from each of the following five areas, with no course used to satisfy more than one area: | 20 | |

A1: Algebra | ||

College Algebra | ||

Methods of Calculus | ||

or MATH 211 | Basic Concepts of Calculus | |

Calculus II | ||

A2: Advanced Algebra | ||

Pre-Calculus Mathematics | ||

Methods of Calculus | ||

or MATH 211 | Basic Concepts of Calculus | |

Calculus II | ||

Discrete Mathematics | ||

A3 : Geometry | ||

Methods of Calculus | ||

or MATH 211 | Basic Concepts of Calculus | |

Calculus II | ||

Geometry in Two and Three Dimensions | ||

A4: Probability and Statistics | ||

The Ideas of Mathematics | ||

Applied Statistics | ||

or MATH 165 | Introductory Statistics and Hypothesis Testing | |

A5 : Development of the Real Number System | ||

Methods of Calculus | ||

or MATH 211 | Basic Concepts of Calculus | |

Calculus II | ||

Fundamental Concepts Mathematics Educators: Fundamental Concepts Arithmetic and Geometry | ||

Electives (28) | ||

Select an additional 28 units from other courses listed above not already taken (unless restricted between two courses), or from the following courses: | 28 | |

Critical Thinking Through Applications of Mathematical Logic | ||

Problem Solving for Teachers Using Technology | ||

Problem Solving and Mathematical Reasoning for Teachers I | ||

Fundamental Concepts Mathematics Educators: Transition Concrete to Abstract Algebra and Geometry | ||

Fundamental Concepts Mathematics Educators: Further Developments in Algebra and Geometry | ||

Problem Solving Through Theory and Practice | ||

Total Units | 48 |