# 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 2019-2020, should follow information contained in the printed course catalog (also known as the "catalog of record") published on April 1, 2019. Access the catalog of record at http://catalogs.sandiego.edu.

## The Mathematics Major

### Preparation for the Major

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

MATH 110 | Investigations in Modern Mathematics | 3-3.5 |

or MATH 112 | ||

or MATH 120 | Introduction to Statistics | |

or COMP 110 | Computational Problem Solving | |

or COMP 150 | Computer Programming I | |

MATH 150 | Calculus I | 4 |

MATH 151 | Calculus II | 4 |

MATH 250 | Calculus III | 4 |

MATH 260 | Foundations of Higher Mathematics | 3 |

or MATH 262 | Discrete Mathematics | |

or MATH 222 | ||

or MATH 160 | ||

Total Units | 18-18.5 |

### 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 | 3 |

MATH 375 | Abstract Algebra | 3 |

Select 15 units of upper-division electives except for Math 300, 305, 405, and 498. | 15 | |

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 | |

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

MATH 110, MATH 112, MATH 120, or COMP 110 | Investigations in Modern Mathematics Introduction to Statistics Computational Problem Solving | 3-3.5 |

MATH 150 | Calculus I | 4 |

CC | 3 | |

Semester II | Hours | |

MATH 151 | Calculus II | 4 |

MATH 260, 262, MATH 222, or MATH 160 | Foundations of Higher Mathematics Discrete Mathematics | 3 |

CC | 6-9 | |

Sophomore Year | ||

Semester I | Hours | |

MATH 250 | Calculus III | 4 |

MATH 320 | Linear Algebra | 3 |

CC | 6-9 | |

Semester II | Hours | |

MATH 360 | Real Analysis | 3 |

CC, Minor, Electives | 12-15 | |

Junior Year | ||

Semester I | Hours | |

MATH 375 | Abstract Algebra | 3 |

Upper-Division MATH | 3 | |

CC, Minor, Electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 3 | |

CC, Minor, Electives | 9-12 | |

Senior Year | ||

Semester I | Hours | |

Upper-Division MATH | 6 | |

CC, Minor, Electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 3 | |

CC, Minor, 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 |
---|---|---|

MATH 120 | Introduction to Statistics | 3-3.5 |

or COMP 110 | Computational Problem Solving | |

MATH 150 | Calculus I | 4 |

MATH 151 | Calculus II | 4 |

MATH 250 | Calculus III | 4 |

MATH 260 | Foundations of Higher Mathematics | 3 |

or MATH 262 | Discrete Mathematics | |

or MATH 222 | ||

or MATH 160 | ||

Total Units | 18-18.5 |

### 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 |

MATH 330 | Ordinary Differential Equations | 3 |

MATH 360 | Real Analysis | 3 |

MATH 375 | Abstract Algebra | 3 |

MATH 444 | Forum | 3 |

MATH 445 | Mathematical Modeling | 3 |

Select 6 units of upper-division electives except for Math 300, 305, 405, and 498. | 6 | |

Total Units | 24 |

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

^{1} | Students are strongly advised to complete MATH 320 before taking upper-division courses numbered above 330. |

### Recommended Program of Study: Applied Emphasis

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

Semester I | Units | |

Preceptorial | 3-4 | |

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

MATH 120 or COMP 110 | Introduction to Statistics Computational Problem Solving | 3-3.5 |

MATH 150 | Calculus I | 4 |

CC | 3 | |

Semester II | Hours | |

MATH 151 | Calculus II | 4 |

MATH 260, 262, MATH 222, or MATH 160 | Foundations of Higher Mathematics Discrete Mathematics | 3 |

CC | 6-9 | |

Sophomore Year | ||

Semester I | Hours | |

MATH 250 | Calculus III | 4 |

MATH 320 | Linear Algebra | 3 |

CC | 6-9 | |

Semester II | Hours | |

MATH 330 | Ordinary Differential Equations | 3 |

MATH 360 | Real Analysis | 3 |

CC , Minor, Electives | 9-12 | |

Junior Year | ||

Semester I | Hours | |

MATH 375 | Abstract Algebra | 3 |

MATH 444 | Forum | 3 |

CC, Minor, Electives | 9-12 | |

Semester II | Hours | |

MATH 445 | Mathematical Modeling | 3 |

CC, Minor, Electives | 9-12 | |

Senior Year | ||

Semester I | Hours | |

Upper-Division MATH | 6 | |

CC, Minor, Electives | 9-12 | |

Semester II | Hours | |

Upper-Division MATH | 3 | |

CC, Minor, Electives | 9-12 |

## 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 | ^{1} | 0-3 |

or MATH 260 | Foundations of Higher Mathematics | |

MATH 250 | Calculus III | 4 |

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

Total Units | 25-28 |

### 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 325 | History of Mathematics | 3 |

or MATH 325W | ||

MATH 350 | Probability | 3 |

MATH 360 | Real Analysis | 3 |

MATH 375 | Abstract Algebra | 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: Secondary Education Emphasis

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

Semester I | Units | |

Preceptorial | 3 | |

MATH 115 or 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 |

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

COMP 150 | Computer Programming I | 3 |

CC | 6 | |

Sophomore Year | ||

Semester I | Hours | |

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

MATH 160 or MATH 260 | 3 | |

MATH 305 | Seminar in Teaching Mathematics | 2 |

CC, SOLES, 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 |

### 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 with a secondary education emphasis, students completing the ITPP pathway must also take the following teaching credential courses, following the Recommended Program of Study: Secondary Education Emphasis above.

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

EDTE 300P | Diversity, Inclusion & Schooling | 3 |

EDTE 301P | Methods for Language & Literacy | 3 |

EDTE 304P | Secondary Methods I | 3 |

EDTE 307P | Secondary Methods II: Mathematics | 3 |

EDTE 310P | Educational Psychology | 3 |

EDTE 311P | Equity & Advocacy in Educational Systems | 3 |

EDTE 312P | Methods for English Learners | 3 |

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

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