# Certificate in Introductory Mathematics

The Certificate in Introductory Mathematics meets the required components for the Subject Matter Authorization: Introductory Mathematics. Completion of this program allows individuals who hold a valid California teaching credential to apply for the Subject Matter Authorization: Introductory Mathematics for teaching the content matter up through ninth grade mathematics. This certificate may be earned by regularly matriculated or extended learning students.

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 6000-level courses as requirements and/or electives. These 6000-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.

## Certificate Requirements (32-35 units)

Courses must be completed with a grade of C (2.0) or better.

Core Requirements and Electives (32-35) | 32-35 | |

Core Requirements | ||

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

A1: Algebra | ||

Modeling with Functions | ||

or MATH 1402 | Preparation for Calculus A | |

Accelerated Preparation for Calculus | ||

or MATH 1402 | Preparation for Calculus A | |

Modeling with Calculus | ||

or MATH 2210 | Calculus I | |

A2: Advanced Algebra | ||

Accelerated Preparation for Calculus | ||

or MATH 1403 | Preparation for Calculus B | |

Modeling with Calculus | ||

or MATH 2210 | Calculus I | |

Calculus II | ||

Applied Linear Algebra | ||

A3 : Geometry | ||

Modeling with Calculus | ||

or MATH 2210 | Calculus I | |

Calculus II | ||

Multivariable Calculus | ||

Mathematical Concepts and Problem Solving for Educators III | ||

A4: Probability & Statistics | ||

Introduction to Statistical Thinking | ||

or MATH 2265 | Statistics with Applications | |

A5 : Development of the Real Number System | ||

Modeling with Calculus | ||

or MATH 2210 | Calculus I | |

Calculus II | ||

Mathematical Concepts and Problem Solving for Educators I | ||

Electives | ||

Select an additional 14-17 units from: (1) other courses listed above not already used to meet the required categories (unless courses are restricted between two options in those categories), (2) any mathematics course numbered 2000 to 4000 applicable to the BS in Mathematics - Teaching Mathematics Concentration, or (3) the following courses: | ||

Critical Thinking Through Applications of Mathematical Logic | ||

Two-Dimensional Geometry Lab | ||

Three-Dimensional Geometry Lab | ||

Discrete Mathematics | ||

Mathematical Concepts and Problem Solving for Educators II | ||

Topics in Mathematics | ||

Total Units | 32-35 |