# Mathematics Course Listing

*Scroll Down for the Recommended Program of Study: Integrated Teacher Preparation Program (ITPP) Pathway.*

Students entering the University of San Diego and/or declaring a major during 2018-2019, should follow information contained in the printed course catalog (also known as the "catalog of record") published on May 1, 2018. Access the catalog of record at http://catalogs.sandiego.edu.

## The Mathematics Major

### Preparation for the Major

Code | Title | Units |
---|---|---|

COMP 150 | Computer Programming I | 3 |

MATH 150 | Calculus I | 4 |

MATH 151 | Calculus II | 4 |

MATH 160 | Logic for Mathematics and Computer Science ^{1} | 3 |

MATH 250 | Calculus III | 4 |

PHYS 270 & 270L | Introduction to Mechanics and Mechanics Lab | 4 |

Select one of the following: | 3-4 | |

Computer Programming II | ||

Introduction to Electricity and Magnetism and Introduction to Electricity and Magnetism Lab | ||

Total Units | 25-26 |

### Major Requirements

In order to obtain a major in mathematics, the student must satisfy the core curriculum requirements as set forth in this course catalog and complete the following courses:

Code | Title | Units |
---|---|---|

MATH 320 | Linear Algebra | 3 |

MATH 360 | Real Analysis I | 3 |

Select one of the following: | 3 | |

Probability | ||

Real Analysis II | ||

Geometry | ||

Select one of the following: | 3 | |

Algebraic Systems | ||

Topology | ||

Select 12 units of upper-division mathematics electives chosen from courses numbered above 300, excluding 305 (Seminar in Teaching Mathematics), 405 (Advanced Perspectives) and 498 (Internship) | 12 | |

Total Units | 24 |

At least 15 of the upper-division units in the major must be completed at USD.

### Recommended Program of Study, Mathematics

Freshman Year | ||
---|---|---|

Semester I | Units | |

Preceptorial | 3-4 | |

COMP 150 | Computer Programming I | 3 |

MATH 150 | Calculus I | 4 |

MATH 118 | Essentials of Trigonometry (if needed) | 1 |

CC | 6 | |

Semester II | Hours | |

MATH 151 | Calculus II | 4 |

MATH 160 | Logic for Mathematics and Computer Science | 3 |

PHYS 270 & 270L | Introduction to Mechanics | 4 |

CC | 3 or 6 | |

Sophomore Year | ||

Semester I | Hours | |

MATH 250 | Calculus III | 4 |

or COMP 151 PHYS 271 PHYS 271Land | Computer Programming II Introduction to Electricity and Magnetism Introduction to Electricity and Magnetism Lab | 3-4 |

CC | 6-9 | |

Semester II | Hours | |

MATH 320 | Linear Algebra | 3 |

CC | 12-15 | |

Junior Year | ||

Semester I | Hours | |

Upper-Division MATH | 6 | |

CC, Minor, or electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 6 | |

CC, Minor, or electives | 9-12 | |

Senior Year | ||

Semester I | Hours | |

Upper-Division MATH | 6 | |

CC, Minor, or electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 3 | |

CC, Minor, or electives | 12-15 |

## Secondary Education Emphasis

Students interested in obtaining the Single Subject Teaching Credential in mathematics are required to major in mathematics with a secondary education emphasis.

### Preparation for the Major

Code | Title | Units |
---|---|---|

COMP 150 | Computer Programming I | 3 |

MATH 115 | College Algebra (or pass the Level 2 placement exam) | 3 |

MATH 120 | Introduction to Statistics | 3 |

MATH 150 | Calculus I | 4 |

MATH 151 | Calculus II | 4 |

MATH 160 | Logic for Mathematics and Computer Science ^{1} | 3 |

MATH 250 | Calculus III | 4 |

PHYS 270 & 270L | Introduction to Mechanics and Mechanics Lab | 4 |

Total Units | 28 |

### Major Requirements

For the mathematics major with secondary education emphasis, the student must satisfy the core curriculum requirements and complete the following courses:

Code | Title | Units |
---|---|---|

MATH 305 | Seminar in Teaching Mathematics | 2 |

MATH 320 | Linear Algebra | 3-4 |

MATH 325W | History of Mathematics | 3 |

MATH 350 | Probability | 3 |

MATH 360 | Real Analysis I | 3 |

MATH 375 | Algebraic Systems | 3 |

MATH 380 | Geometry | 3 |

MATH 405 | Advanced Perspective on High School Mathematics | 3 |

Select 6 units of Upper-Division Mathematics Electives (chosen from courses numbered above 300) | 6 | |

Total Units | 29-30 |

At least 15 of the Upper-Division units in the major must be completed at USD.

To obtain the professional preliminary teaching credential, consult the School of Leadership and Education Sciences for further requirements.

### Recommended Program of Study Mathematics, Secondary Education Emphasis

Freshman Year | ||
---|---|---|

Semester I | Units | |

Preceptorial | 3 | |

or MATH 115 150 | College Algebra Calculus I | 4 |

MATH 118 | Essentials of Trigonometry (if needed) | 1 |

CC | 9 | |

Semester II | Hours | |

MATH 120 | Introduction to Statistics | 3 |

or MATH 150 151 | Calculus I Calculus II | 4 |

COMP 150 | Computer Programming I | 3 |

CC | 6 | |

Sophomore Year | ||

Semester I | Hours | |

or MATH 151 250 | Calculus II Calculus III | 4 |

MATH 160 | Logic for Mathematics and Computer Science | 3 |

MATH 305 | Seminar in Teaching Mathematics | 2 |

CC and electives | 6-9 | |

Semester II | Hours | |

MATH 250 | Calculus III | 4 |

MATH 320 | Linear Algebra | 3 |

PHYS 270 | Introduction to Mechanics | 3 |

CC, SOLES, and electives | 6-9 | |

Junior Year | ||

Semester I | Hours | |

Upper-Division MATH | 6 | |

CC, SOLES, and electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 6 | |

CC, SOLES, and electives | 9-12 | |

Senior Year | ||

Semester I | Hours | |

Upper-Division MATH | 6 | |

CC, SOLES, and electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 6 | |

CC, SOLES, Minor, and electives | 9-12 |

## Applied Emphasis

The mathematics department also offers a major in mathematics with an applied emphasis.

### Preparation for the Major

Code | Title | Units |
---|---|---|

COMP 150 | Computer Programming I | 3 |

MATH 150 | Calculus I | 4 |

MATH 151 | Calculus II | 4 |

MATH 160 | Logic for Mathematics and Computer Science | 3 |

MATH 250 | Calculus III | 4 |

PHYS 270 & 270L | Introduction to Mechanics and Mechanics Lab | 4 |

Total Units | 22 |

### Major Requirements

For the mathematics major with applied emphasis, the student must satisfy the core curriculum requirements and complete the following courses:

Code | Title | Units |
---|---|---|

MATH 320 | Linear Algebra | 3-4 |

MATH 330 | Ordinary Differential Equations | 3 |

MATH 340 | Numerical Analysis I | 3 |

MATH 350 | Probability | 3 |

MATH 445 | Mathematical Modeling | 3 |

MATH 495W | Senior Project A | 1 |

MATH 496W | Senior Project B | 2 |

Select two of the following: ^{2} | 6 | |

Partial Differential Equations | ||

Numerical Analysis II | ||

Mathematical Statistics | ||

Real Analysis I | ||

Complex Function Theory | ||

One additional upper-division elective (chosen from courses numbered above 300 except for MATH 305, MATH 405, and MATH 498) | 3 | |

Total Units | 27-28 |

At least 15 of the upper-division units in the major must be completed at USD.

Substitutions in this list may be granted with the approval of the department chair.

For the applied emphasis, a minor in a natural science, engineering, or economics is also required. Other minors can be substituted but require a proposal from the student explaining the connection between that discipline and mathematics that must be approved in advance by the department chair.

^{1} | Students are encouraged to complete MATH 160 before taking MATH 320. In addition, students are strongly advised to complete both MATH 160 and MATH 320 before taking upper division courses numbered above 331. MATH 160 satisfies the core curriculum logic competency requirement. Students majoring in mathematics should take this course instead of PHIL 101 or PHIL 102. |

^{2} | Students planning to go to graduate school are advised to take MATH 360. |

### Recommended Program of Study Mathematics, Applied Emphasis

Freshman Year | ||
---|---|---|

Semester I | Units | |

Preceptorial | 3 | |

MATH 150 | Calculus I | 4 |

MATH 118 | Essentials of Trigonometry (if needed) | 1 |

CC | 9 | |

Semester II | Hours | |

MATH 151 | Calculus II | 4 |

PHYS 270 | Introduction to Mechanics | 3 |

MATH 160 | Logic for Mathematics and Computer Science | 3 |

CC | 3-6 | |

Sophomore Year | ||

Semester I | Hours | |

MATH 250 | Calculus III | 4 |

COMP 150 | Computer Programming I | 3 |

CC and electives | 9 | |

Semester II | Hours | |

MATH 320 | Linear Algebra | 3 |

CC and electives | 9-12 | |

Junior Year | ||

Semester I | Hours | |

MATH 330 | Ordinary Differential Equations | 3 |

MATH 350 | Probability | 3 |

CC, Minor, and electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 6 | |

CC, Minor, and electives | 9-12 | |

Senior Year | ||

Semester I | Hours | |

MATH 445 | Mathematical Modeling | 3 |

MATH 495W | Senior Project A | 1 |

Upper-Division MATH | 3 | |

CC, Minor, and electives | 9 | |

Semester II | Hours | |

MATH 496W | Senior Project B | 2 |

Upper-Division MATH | 3 | |

CC, Minor, and electives | 9-12 |

### Recommended Program of Study: Integrated Teacher Preparation Program (ITPP) Pathway

The Integrated Teacher Preparation Program (ITPP) provides paths to 4-year science and math degrees that include a teaching credential and preparation for the California Subject Examination for Teachers (CSET). Students who are interested in middle or secondary education (grades 6-12) in California may earn a degree in mathematics while simultaneously completing requirements for a teaching credential. The degree integrates content knowledge and laboratory practices in the discipline, evidence-based teaching/learning theories, teaching performance expectations, and pre-student teaching clinical practice while satisfying baccalaureate degree requirements and CTC single subject credential program standards. There is some flexibility to meet individual needs. Students are encouraged to consult the ITPP website (http://www.sandiego.edu/itpp) and advisors (itpp@sandiego.edu) to ensure that their needs and interests will be met.

In addition to all courses for the mathematics major, students completing the ITPP pathway must also take the following:

Code | Title | Units |
---|---|---|

EDUC 332P | Curriculum and Methods of Teaching in Today's Global Secondary Classrooms | 3 |

EDUC 334P | Methods of Teaching Literacy in Secondary Schools in a Global Society | 3 |

EDUC 337P | Foundations in Curriculum and Instruction Theory: Secondary Praxis in Historical Context | 3 |

EDUC 381C | Multicultural and Philosophical Foundations in a Global Society | 3 |

EDUC 382 | Psychological Foundations of Education in a Diverse Society | 3 |

EDUC 384C | Methods of Teaching English Language and Academic Development in Crosscultural Contexts | 3 |

EDUC 491P | Student Teaching for the Single Subject Credential | 9 |

EDUC 491S | Student Teaching Seminar for the Single Subject Credential | 3 |

EDSP 389P | Healthy Environments and Inclusive Education in a Global Society | 3 |

The following paradigm is included as a guide only, and should not be interpreted in a rigid sense. UD elective courses may be taken at any time as long as the course prerequisites have been satisfied.

## Contact Information

**Integrated Teacher Preparation Programs**

5998 Alcalá Park

San Diego, CA 92110

Phone: 619-260-4781

itpp@sandiego.edu