# The Bachelor of Science in Mathematics

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

See "Requirements for the Bachelor's Degree" in the
*University Catalog* for complete details on general degree requirements. A minimum of 40 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. Please request a plan from your major advisor or view it and other current advising information at http://em.csuchico.edu/aap/ProgramSearch.

### General Education Requirements: 48 units

See "General Education Requirements" in the University Catalog and the Class Schedule for the most current information on General Education Requirements and course offerings. The course requirements marked below with an asterisk (*) may also be applied toward General Education.

### Diversity Course Requirements: 6 units

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

### U.S. History, Constitution, and American Ideals: 6 units

See "U.S. History, Constitution, and American Ideals" under "Bachelor's Degree Requirements". This requirement is normally fulfilled by completing HIST 130 and POLS 155 or approved equivalents. Courses used to satisfy this requirement do not apply to General Education.

### Literacy Requirement:

See "Mathematics and Writing Requirements" in the University Catalog. Writing proficiency in the major is a graduation requirement and may be demonstrated through satisfactory completion of a course in your major which has been designated as the Writing Proficiency (WP) course for the semester in which you take the course. Students who earn below a C- are required to repeat the course and earn a C- or better to receive WP credit. See the Class Schedule for the designated WP courses for each semester. You must pass ENGL 130 (or its equivalent) with a C- or better before you may register for a WP course.

### Course Requirements for the Major: 49-50 units

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

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

### Major Core Program: 24-25 units

#### 6 courses required:

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

*Prerequisites: Completion of ELM requirement; both MATH 118 and MATH 119 (or high school equivalent); a score that meets department guidelines on a department administered calculus readiness exam.*

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

*Prerequisites: MATH 120.*

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

*Prerequisites: MATH 121.*

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

*Prerequisites: MATH 121.*

MATH | 330 | Methods of Proof | 3.0 | FS |

*Prerequisites: MATH 121.*

MATH | 420 | Advanced Calculus | 3.0 | FS WP |

*Prerequisites: ENGL 130 (or its equivalent) with a grade of C- or higher, MATH 220, MATH 330, 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:

CINS | 110 | Introductory Programming | 3.0 | FA |

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

*Prerequisites: At least one year of high school algebra and strong computer skills or CSCI 101.*

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

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

## Major Option Course Requirements: 25-26 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.

### The General Option in Mathematics: 25 units

#### 4 courses required:

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

*Prerequisites: MATH 121.*

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

*Prerequisites: MATH 121.*

MATH | 421 | Advanced Calculus | 3.0 | SP |

*Prerequisites: MATH 420.*

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

*Prerequisites: MATH 220.*

#### 1 course selected from:

MATH | 346 | College Geometry | 3.0 | SP |

*Prerequisites: MATH 220, MATH 330.*

MATH | 426 | Projective Geometry | 3.0 | Inq |

*Prerequisites: MATH 220, MATH 330.*

MATH | 427 | Convexity | 3.0 | Inq |

*Prerequisites: MATH 220, MATH 330.*

MATH | 428 | Differential Geometry | 3.0 | Inq |

*Prerequisites: MATH 220, MATH 330.*

MATH | 429 | Transformational Geometry | 3.0 | Inq |

*Prerequisites: MATH 220, MATH 330.*

MATH | 437 | Topology | 3.0 | S2 |

*Prerequisites: MATH 220, MATH 330.*

#### 1 course selected from:

MATH | 435 | Linear Algebra | 3.0 | FA |

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

MATH | 449 | Modern Algebra | 3.0 | SP |

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

#### 6 units selected from:

Any upper-division Mathematics (MATH) courses except MATH 302, MATH 304, MATH 305, MATH 310, MATH 311, MATH 314, MATH 341, MATH 342, and MATH 441.

### The Option in Applied Mathematics: 25 units

#### 7 courses required:

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

*Prerequisites: MATH 121.*

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

*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 235, MATH 260 (may be taken concurrently), completion of the computer literacy requirement. MATH 460 is not a prerequisite for MATH 461.*

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:

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

*Prerequisites: MATH 260; MATH 235 and MATH 360 are recommended.*

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

*Prerequisites: MATH 260; MATH 361 is recommended.*

### The Option in Mathematics Education: 25-26 units

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

#### 8 courses required:

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

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 220 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.*

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

*Prerequisites: MATH 341.*

MATH | 346 | College Geometry | 3.0 | SP |

*Prerequisites: MATH 220, MATH 330.*

MATH | 449 | Modern Algebra | 3.0 | SP |

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

#### 1 course selected from:

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

*Prerequisites: MATH 121.*

Or any upper-division Mathematics (MATH) courses except MATH 302, MATH 304, MATH 310,and MATH 311. MATH 344 recommended.

**Additional requirements:**

A 15-hour mathematics field experience is required. MATH 241 fulfills this requirement.

All course work choices and the choice of field experience should be made after consulting an advisor.

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 Statistics: 25 units

#### 7 courses required:

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

*Prerequisites: MATH 121.*

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

*Prerequisites: MATH 105 or MATH 350 or faculty permission.*

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

*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 315.*

MATH | 458 | Sampling Methods | 3.0 | S1 |

*Prerequisites: One course chosen from MATH 105, MATH 305, MATH 350, or MATH 315.*

#### 3 units selected from:

Any upper-division mathematics (MATH) courses except MATH 302, MATH 304, MATH 310, MATH 311, MATH 314, MATH 341, MATH 342, and MATH 441.

### 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.

### 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.

### 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

1. 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.

2. 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.

3. Your
*cumulative* GPA should be at least 3.5 or within the top 5% of majors in your department.

4. Your GPA
*in your major* should be at least 3.5 or within the top 5% of majors in your department.

5. 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.

6. 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 420 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.