# Introductory Mathematics

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 (48 units)

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

Component Areas (20 units)

- Select at least one course from each of the following five areas, with no course used to satisfy more than one area:
**A1: Algebra**- MATH 110. College Algebra (4)
- May choose only one of the following two courses:
- MATH 192. Methods of Calculus (4)
- MATH 211. Basic Calculus (4)

- MATH 212. Calculus II (4)
**A2: Advanced Algebra**- MATH 120. Precalculus (4)
- May choose only one of the following two courses:
- MATH 192. Methods of Calculus (4)
- MATH 211. Basic Calculus (4)

- MATH 212. Calculus II (4)
- MATH 272. Discrete Mathematics (4)
**A3: Geometry**- May choose only one of the following two courses:
- MATH 192. Methods of Calculus (4)
- MATH 211. Basic Calculus (4)

- MATH 212. Calculus II (4)
- MATH 229. Geometry in Two and Three Dimension (4)
**A4: Probability and Statistics**- MATH 115. Ideas of Math (4)
- May choose only one of the following two courses:
- MATH 262: Applied Statistics (4)
- MATH 305. Statistics: Hypotheses Testing and Estimation (4)

**A5: Development of the Real Number System**- May choose only one of the following two courses:
- MATH 192. Methods of Calculus (4)
- MATH 211. Basic Calculus (4)
- MATH 212. Calculus II (4)
- MATH 301A. Fundamental Concepts of Mathematics for Educators A: Fundamental Concepts of Arithmetic and Geometry (4)

- Electives (28 units)
- Select an additional 28 units from other courses listed above not already taken (unless restricted between two courses), or from the following courses:
- MATH 180. Critical Thinking Through Applications of Mathematical Logic (4)
- MATH 199. Technology in Math Education Through Problem Solving (3)
- MATH 301B. Fundamental Concepts of Mathematics for Educators B: Transition from Concrete to Abstract in Algebra and Geometry (4)
- MATH 301C. Fundamental Concepts of Mathematics for Educators C: Further Developments in Algebra and Geometry (4)
- MATH 308. Problem Solving Through Theory and Practice (2)