# The Bachelor of Science in Mathematics

## Total Course Requirements for the Bachelor's Degree: 120 units

See Bachelor's Degree Requirements in the *University Catalog* for complete details on general degree requirements. A minimum of 39 units, including those required for the major, must be upper division.

A suggested Major Academic Plan (MAP) has been prepared to help students meet all graduation requirements within four years. You can view MAPs on the Major Academic Plans page or you can request a plan from your major advisor.

Courses in this program may complete more than one graduation requirement.

### General Education Pathway Requirements: 48 units

See General Education in the *University Catalog* and the Class Schedule for the most current information on General Education Pathway Requirements and course offerings.

This major has approved GE modification(s). See below for information on how to apply these modification(s).

- MATH 217 is an approved major course substitution for Critical Thinking (A3).
- MATH 330W is an approved major course substitution for Upper-Division Natural Sciences.

**These modifications apply to The Option in Mathematics Education - Credential Path only**

- EDTE 451 fulfills Learning for Life (E)
- EDTE 302, ENGL 471, and MATH 333 fulfill the Upper-Division Pathway requirement.

### Diversity Course Requirements: 6 units

See Diversity Requirements in the *University Catalog*. Most courses taken to satisfy these requirements may also apply to General Education .

### Upper-Division Writing Requirement:

Writing Across the Curriculum (Executive Memorandum 17-009) is a graduation requirement and may be demonstrated through satisfactory completion of four Writing (W) courses, two of which are designated by the major department. See Mathematics/Quantitative Reasoning and Writing Requirements in the *University Catalog *for more details on the four courses. The first of the major designated Writing (W) courses is listed below.

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 330W | Methods of Proof (W) | 3.0 | FS | W | |

Prerequisites: GE Written Communication (A2) requirement and MATH 121. |

The second major-designated Writing course is the Graduation Writing Assessment Requirement (GW) (Executive Order 665). Students must earn a C- or higher to receive GW credit. The GE Written Communication (A2) requirement must be completed before a student is permitted to register for a GW course.

### Grading Requirement:

All courses taken to fulfill major course requirements must be taken for a letter grade except those courses specified by the department as Credit/No Credit grading only.

Enrollment in any mathematics course requires a grade of C- or higher in all prerequisite courses or their transfer equivalents.

## Course Requirements for the Major: 48-56 units

Completion of the following courses, or their approved transfer equivalents, is required of all candidates for this degree. Additional required courses, depending upon the selected option are outlined following the major core program requirements.

### Major Core Program: 26-29 units

**5 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 120 | Analytic Geometry and Calculus | 4.0 | FS | GE | |

Prerequisites: GE Mathematics/Quantitative Reasoning Ready; both MATH 118 and MATH 119 (or college equivalent); first-year freshmen who successfully completed trigonometry and precalculus in high school can meet this prerequisite by achieving a score that meets department guidelines on a department administered calculus readiness exam. | |||||

MATH 121 | Analytic Geometry and Calculus | 4.0 | FS | ||

Prerequisite: MATH 120. | |||||

MATH 235 | Elementary Linear Algebra | 3.0 | FS | ||

Prerequisites: MATH 121. | |||||

MATH 300 | Undergraduate Mathematics Seminar | 2.0 | FS | ||

Prerequisite: GE Mathematics/Quantitative Reasoning Ready. | |||||

MATH 330W | Methods of Proof (W) | 3.0 | FS | W | |

Prerequisites: GE Written Communication (A2) requirement and MATH 121. |

**4-6 units selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 220 | Analytic Geometry and Calculus | 4.0 | FS | ||

Prerequisites: MATH 121. |

**Or the following group of courses may be selected:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 125 | Advanced Number and Operation | 3.0 | FA | ||

Prerequisite: Successful completion of high school precalculus, concurrent enrollment in MATH 118 or 119, or faculty permission. | |||||

MATH 225 | Algebra Functions, Real and Complex Number Systems | 3.0 | SP | ||

Prerequisite: MATH 125. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 420W | Advanced Calculus (W) | 3.0 | FS | GW W | |

Prerequisites: Completion of GE Written Communication (A2) requirement, MATH 220, MATH 330, upper-division standing. | |||||

MATH 425W | Computational and Communication in Mathematical Modeling (W) | 3.0 | FA | GW W | |

Prerequisites: GE Written Communication (A2) requirement, completion of computer literacy requirement, MATH 225, MATH 235, MATH 330W, and upper division standing. |

The MATH 120, MATH 121, MATH 220 sequence should be started as early as possible, provided the student has the necessary background. MATH 118 and MATH 119 (or their equivalents) are required pre-calculus courses for MATH 120.

Some upper-division courses require only MATH 120 or MATH 121 as a prerequisite. Refer to catalog course listings when choosing courses.

#### Computer Literacy Requirement

A passing grade in one of the following classes or its transfer equivalent.

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

CINS 110 | Introductory Web Programming | 3.0 | FS | ||

CSCI 111 | Programming and Algorithms I | 4.0 | FS | ||

Prerequisite: MATH 109, MATH 119 (or high school equivalent), or MATH 120; or a passing score on the Math department administered calculus readiness exam. | |||||

MATH 230 | An Introduction to Computational Mathematics | 3.0 | FA | ||

Prerequisites: MATH 121, no previous computer experience required. |

## Major Option Course Requirements: 22-27 units

The following courses, or their approved transfer equivalents, are required dependent upon the option chosen. Students must select one of the following options for completion of the major course requirements. Use the links below to jump to your chosen option.

- The Option in General Mathematics
- The Option in Applied Mathematics
- The Option in Mathematics Education
- The Option in Mathematics Education - Credential Path
- The Option in Statistics
- The Option in Foundational Mathematics Education

## The Option in General Mathematics: 24-26 units

**3 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 421 | Advanced Calculus | 3.0 | SP | ||

Prerequisite: MATH 420W. | |||||

MATH 449 | Modern Algebra | 3.0 | FA | ||

Prerequisites: MATH 220, MATH 235, MATH 330. | |||||

MATH 465 | Introduction to Complex Variables | 3.0 | FA | ||

Prerequisites: MATH 220. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 260 | Elementary Differential Equations | 4.0 | FS | ||

Prerequisites: MATH 121. | |||||

MATH 350 | Introduction to Probability and Statistics | 3.0 | FS | ||

Prerequisites: MATH 121. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 337 | Introduction to the Theory of Numbers | 3.0 | FA | ||

Prerequisites: MATH 121, MATH 330. | |||||

MATH 344 | Graph Theory | 3.0 | S1 | ||

Prerequisites: MATH 121; CSCI 217, MATH 217, or MATH 330. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 428 | Differential Geometry | 3.0 | F1 | ||

Prerequisites: MATH 220, MATH 330. | |||||

MATH 437 | Topology | 3.0 | F2 | ||

Prerequisites: MATH 220, MATH 330. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 435 | Linear Algebra | 3.0 | S2 | ||

Prerequisites: MATH 220, MATH 235, MATH 330. | |||||

MATH 451 | Modern Algebra II | 3.0 | S1 | ||

Prerequisite: MATH 449. |

**3-4 units selected from:**

Any upper-division Mathematics (MATH) courses except MATH 305, MATH 310, MATH 311, MATH 341, MATH 342, and MATH 441.

## The Option in Applied Mathematics: 25 units

**7 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 260 | Elementary Differential Equations | 4.0 | FS | ||

Prerequisites: MATH 121. | |||||

MATH 350 | Introduction to Probability and Statistics | 3.0 | FS | ||

Prerequisites: MATH 121. | |||||

MATH 360 | Ordinary Differential Equations | 3.0 | SP | ||

Prerequisites: MATH 260. | |||||

MATH 361 | Boundary Value Problems and Partial Differential Equations | 3.0 | FA | ||

Prerequisites: MATH 260. | |||||

MATH 461 | Numerical Analysis | 3.0 | SP | ||

Prerequisites: MATH 220 or MATH 260; completion of computer literacy requirement. | |||||

MATH 465 | Introduction to Complex Variables | 3.0 | FA | ||

Prerequisites: MATH 220. | |||||

MATH 480 | Mathematical Modeling | 3.0 | SP | ||

Prerequisites: MATH 235, MATH 260. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 472 | Introduction to Chaotic Dynamical Systems | 3.0 | F1 | ||

Prerequisites: MATH 260. Recommended: MATH 235, MATH 360. | |||||

MATH 475 | Calculus of Variations | 3.0 | F2 | ||

Prerequisites: MATH 260; MATH 361 is recommended. |

## The Option in Mathematics Education: 25-27 units

The following program, together with the major core program, fulfills all requirements for the Single Subject Matter Preparation Program in Mathematics.

**7 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 305 | Conceptual and Practical Statistics | 3.0 | SP | ||

Prerequisites: MATH 120 or MATH 109 (may be taken concurrently). | |||||

MATH 333 | History of Mathematics | 3.0 | SP | ||

Prerequisites: MATH 121; MATH 220 or MATH 225; and at least one upper division mathematics course. MATH 330 is recommended. | |||||

MATH 337 | Introduction to the Theory of Numbers | 3.0 | FA | ||

Prerequisites: MATH 121, MATH 330. | |||||

MATH 341 | Mathematical Topics for the Credential | 3.0 | FA | ||

Prerequisites: MATH 121 or MATH 225. | |||||

MATH 342 | Math Topics for the Credential | 3.0 | SP | ||

Prerequisites: MATH 341. | |||||

MATH 346 | College Geometry | 3.0 | SP | ||

Prerequisites: MATH 220 or MATH 225; MATH 330. | |||||

MATH 449 | Modern Algebra | 3.0 | FA | ||

Prerequisites: MATH 220, MATH 235, MATH 330. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 195 | Project MATH Seminar Year 1 | 1.0 | FS | ||

MATH 241 | Secondary Math Early Field Experience | 1.0 | FS | ||

**3-5 units selected from:**

Note: If MATH 441 is chosen, an additional unit of MATH 241 or MATH 295 must be taken.

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 442 | Mathematics and the Teaching of Mathematics | 3.0 | FA | ||

Prerequisites: MATH 342. |

**Or the following group of courses may be selected:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 295 | Project MATH Seminar Year 2 | 1.0 | FS | ||

Prerequisite: MATH 195. | |||||

MATH 441 | Math Topics for the Credential | 4.0 | FS | ||

Prerequisites: MATH 342. Corequisites: Assignment as a Mathematics Department intern. |

**Or the following group of courses may be selected:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 241 | Secondary Math Early Field Experience | 1.0 | FS | ||

MATH 441 | Math Topics for the Credential | 4.0 | FS | ||

Prerequisites: MATH 342. Corequisites: Assignment as a Mathematics Department intern. |

Subject matter preparation requirements are governed by federal and state legislative action and approval of the California Commission on Teacher Credentialing. Requirements may change between catalogs. Please consult with your departmental credential advisor for current information.

## The Option in Mathematics Education - Credential Path: 73-75 units

The following program, together with the major core program, fulfills all requirements for both a degree in Mathematics (Mathematics Education Option) and the Single Subject Credential in Mathematics.

A Major Academic Plan (MAP) is available for this option so students can complete it in four years. Please request a plan from your major advisor or view it on the Major Academic Plans page. It is important to follow this plan carefully as there are several GE substitutions that apply only if the entire program is completed.

### Mathematics

**7 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 305 | Conceptual and Practical Statistics | 3.0 | SP | ||

Prerequisites: MATH 120 or MATH 109 (may be taken concurrently). | |||||

MATH 333 | History of Mathematics | 3.0 | SP | ||

Prerequisites: MATH 121; MATH 220 or MATH 225; and at least one upper division mathematics course. MATH 330 is recommended. | |||||

MATH 337 | Introduction to the Theory of Numbers | 3.0 | FA | ||

Prerequisites: MATH 121, MATH 330. | |||||

MATH 341 | Mathematical Topics for the Credential | 3.0 | FA | ||

Prerequisites: MATH 121 or MATH 225. | |||||

MATH 342 | Math Topics for the Credential | 3.0 | SP | ||

Prerequisites: MATH 341. | |||||

MATH 346 | College Geometry | 3.0 | SP | ||

Prerequisites: MATH 220 or MATH 225; MATH 330. | |||||

MATH 449 | Modern Algebra | 3.0 | FA | ||

Prerequisites: MATH 220, MATH 235, MATH 330. |

**2 units selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 195 | Project MATH Seminar Year 1 | 1.0 | FS | ||

MATH 241 | Secondary Math Early Field Experience | 1.0 | FS | ||

### Education

**9 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

EDTE 302 | Access and Equity in Education | 3.0 | FS | ||

EDTE 530 | Fundamentals of Teaching Practice for Secondary Teachers | 3.0 | FS | ||

EDTE 532 | Literacy Development | 3.0 | FS | ||

EDTE 534 | Teaching Special Populations | 2.0 | FS | ||

EDTE 535A | Teaching Practicum I for Blended Mathematics Candidates | 3.0 | FS | ||

EDTE 536 | Subject Area Pedagogy II | 3.0 | FS | ||

EDTE 537 | Applications for Democratic Education | 3.0 | FS | ||

Prerequisites: Capstone course to be taken in the final semester of the program. | |||||

EDTE 538 | Teaching Practicum II | 9.0 | FS | ||

Prerequisites: Successful completion of Practicum I (EDTE 535). | |||||

EDTE 580 | Educational Psychology | 3.0 | FS | ||

Prerequisites: Conditional admission to a Professional Education Program. |

### Additional Requirements

**5 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

CMST 131 | Speech Communication Fundamentals | 3.0 | FS | GE | |

EDTE 451 | Health Education for Secondary School Teachers | 3.0 | FS | ||

ENGL 471 | Intensive Theory and Practice of Second Language Acquisition | 3.0 | FS | ||

POLS 155 | American Government: National, State, and Local | 3.0 | SMF | GE | |

HIST 130 | United States History | 3.0 | SMF | GE | |

**3-5 units selected from:**

Note: If MATH 441 is chosen, an additional unit of MATH 241 or MATH 295 must be taken.

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 442 | Mathematics and the Teaching of Mathematics | 3.0 | FA | ||

Prerequisites: MATH 342. |

**Or the following group of courses may be selected:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 295 | Project MATH Seminar Year 2 | 1.0 | FS | ||

Prerequisite: MATH 195. | |||||

MATH 441 | Math Topics for the Credential | 4.0 | FS | ||

Prerequisites: MATH 342. Corequisites: Assignment as a Mathematics Department intern. |

**Or the following group of courses may be selected:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 241 | Secondary Math Early Field Experience | 1.0 | FS | ||

MATH 441 | Math Topics for the Credential | 4.0 | FS | ||

Prerequisites: MATH 342. Corequisites: Assignment as a Mathematics Department intern. |

## The Option in Statistics: 25-26 units

**6 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 260 | Elementary Differential Equations | 4.0 | FS | ||

Prerequisites: MATH 121. | |||||

MATH 350 | Introduction to Probability and Statistics | 3.0 | FS | ||

Prerequisites: MATH 121. | |||||

MATH 351 | Introduction to Probability and Statistics | 3.0 | SP | ||

Prerequisites: MATH 350. | |||||

MATH 450 | Mathematical Statistics | 3.0 | FA | ||

Prerequisites: MATH 220, MATH 330, MATH 351. | |||||

MATH 456 | Applied Statistical Methods II | 3.0 | S2 | ||

Prerequisites: MATH 314 or MATH 315. | |||||

MATH 458 | Sampling Methods | 3.0 | S1 | ||

Prerequisite: MATH 314, MATH 315, or MATH 351 (may be taken concurrently). |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 314 | Probability and Statistics for Science and Technology | 4.0 | FS | ||

Prerequisite: MATH 121; and one of the following: CINS 110, CSCI 111, MATH 130 (may be taken concurrently), or MATH 230. | |||||

MATH 315 | Applied Statistical Methods I | 3.0 | FS | ||

Prerequisite: MATH 105, MATH 109, or MATH 120, or faculty permission. |

**3 units selected from:**

Any upper-division mathematics (MATH) courses except MATH 310, MATH 311, MATH 341, MATH 342, and MATH 441.

## The Option in Foundational Mathematics Education: 22 units

The following program, together with the major core program, fulfills all requirements for the Foundational Subject Matter Preparation Program in Mathematics.

### Mathematics

**7 courses required:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 305 | Conceptual and Practical Statistics | 3.0 | SP | ||

Prerequisites: MATH 120 or MATH 109 (may be taken concurrently). | |||||

MATH 310 | Patterns and Structures in Mathematics | 3.0 | FS | ||

Prerequisites: MATH 110; MATH 210 or MATH 225. | |||||

MATH 333 | History of Mathematics | 3.0 | SP | ||

Prerequisites: MATH 121; MATH 220 or MATH 225; and at least one upper division mathematics course. MATH 330 is recommended. | |||||

MATH 341 | Mathematical Topics for the Credential | 3.0 | FA | ||

Prerequisites: MATH 121 or MATH 225. | |||||

MATH 342 | Math Topics for the Credential | 3.0 | SP | ||

Prerequisites: MATH 341. | |||||

MATH 346 | College Geometry | 3.0 | SP | ||

Prerequisites: MATH 220 or MATH 225; MATH 330. | |||||

MATH 442 | Mathematics and the Teaching of Mathematics | 3.0 | FA | ||

Prerequisites: MATH 342. |

**1 course selected from:**

SUBJ NUM | Title | Sustainable | Units | Semester Offered | Course Flags |
---|---|---|---|---|---|

MATH 195 | Project MATH Seminar Year 1 | 1.0 | FS | ||

MATH 241 | Secondary Math Early Field Experience | 1.0 | FS | ||

### Electives Requirement:

To complete the total units required for the bachelor's degree, select additional elective courses from the total University offerings. You should consult with an advisor regarding the selection of courses which will provide breadth to your University experience and possibly apply to a supportive second major or minor.

### Advising Requirement:

Advising is mandatory for all majors in this degree program. Consult your undergraduate advisor for specific information.

A student may complete more than one option in the major. Only courses specifically required by both options may be double counted.

### Honors in the Major:

Honors in the Major is a program of independent work in your major. It requires 6 units of honors course work completed over two semesters.

The Honors in the Major program allows you to work closely with a faculty mentor in your area of interest on an original performance or research project. This year-long collaboration allows you to work in your field at a professional level and culminates in a public presentation of your work. Students sometimes take their projects beyond the University for submission in professional journals, presentation at conferences, or academic competition. Such experience is valuable for graduate school and professional life. Your honors work will be recognized at your graduation, on your permanent transcripts, and on your diploma. It is often accompanied by letters of commendation from your mentor in the department or the department chair.

Some common features of Honors in the Major program are:

- You must take 6 units of Honors in the Major course work. All 6 units are honors classes (marked by a suffix of H), and at least 3 of these units are independent study (399H, 499H, 599H) as specified by your department. You must complete each class with a minimum grade of B.
- You must have completed 9 units of upper-division course work or 21 overall units in your major before you can be admitted to Honors in the Major. Check the requirements for your major carefully, as there may be specific courses that must be included in these units.
- Your
*cumulative*GPA should be at least 3.5 or within the top 5% of majors in your department. - Your GPA
*in your major*should be at least 3.5 or within the top 5% of majors in your department. - Most students apply for or are invited to participate in Honors in the Major during the second semester of their junior year. Then they complete the 6 units of course work over the two semesters of their senior year.
- Your honors work culminates with a public presentation of your honors project.

While Honors in the Major is part of the Honors Program, each department administers its own program. Please contact your major department or major advisor to apply.

### Honors in Mathematics

Well-qualified Mathematics majors are encouraged to apply for Honors in Mathematics. The program is open to junior and senior Mathematics majors who have completed 9 upper-division units (or a total of 24 units) in mathematics, including MATH 420W with a grade of B or better, and have a grade point average among the top 5% of junior-senior mathematics majors. Please visit the department office in HOLT 181 for further information.