Mathematics Course Listing

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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

COMP 150Computer Programming I3
MATH 150Calculus I4
MATH 151Calculus II4
MATH 160Logic for Mathematics and Computer Science 13
MATH 250Calculus III4
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 Units25-26

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:

MATH 320Linear Algebra3
MATH 360Real Analysis I3
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 Units24

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

Recommended Program of Study, Mathematics

Freshman Year
Semester IUnits
Preceptorial3-4
COMP 150Computer Programming I3
MATH 150Calculus I4
MATH 118Essentials of Trigonometry (if needed)1
CC6
Semester IIHours
MATH 151Calculus II4
MATH 160Logic for Mathematics and Computer Science3
PHYS 270
270L
Introduction to Mechanics4
CC3 or 6
Sophomore Year
Semester IHours
MATH 250Calculus III4
COMP 151
or PHYS 271 and PHYS 271L
Computer Programming II
Introduction to Electricity and Magnetism
Introduction to Electricity and Magnetism Lab
3-4
CC6-9
Semester IIHours
MATH 320Linear Algebra3
CC12-15
Junior Year
Semester IHours
Upper-Division MATH6
CC, Minor, or electives9-12
Semester IIHours
Upper-Division MATH6
CC, Minor, or electives9-12
Senior Year
Semester IHours
Upper-Division MATH6
CC, Minor, or electives9-12
Semester IIHours
Upper-Division MATH3
CC, Minor, or electives12-15

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

COMP 150Computer Programming I3
MATH 115College Algebra (or pass the Level 2 placement exam)3
MATH 120Introduction to Statistics3
MATH 150Calculus I4
MATH 151Calculus II4
MATH 160Logic for Mathematics and Computer Science 13
MATH 250Calculus III4
PHYS 270
270L
Introduction to Mechanics
and Mechanics Lab
4
Total Units28

Major Requirements

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

MATH 305Seminar in Teaching Mathematics2
MATH 320Linear Algebra3-4
MATH 325WHistory of Mathematics3
MATH 350Probability3
MATH 360Real Analysis I3
MATH 375Algebraic Systems3
MATH 380Geometry3
MATH 405Advanced Perspective on High School Mathematics3
Select 6 units of Upper-Division Mathematics Electives (chosen from courses numbered above 300)6
Total Units29-30

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 IUnits
Preceptorial3
MATH 115
or 150
College Algebra
Calculus I
4
MATH 118Essentials of Trigonometry (if needed)1
CC9
Semester IIHours
MATH 120Introduction to Statistics3
MATH 150
or 151
Calculus I
Calculus II
4
COMP 150Computer Programming I3
CC6
Sophomore Year
Semester IHours
MATH 151
or 250
Calculus II
Calculus III
4
MATH 160Logic for Mathematics and Computer Science3
MATH 305Seminar in Teaching Mathematics2
CC and electives6-9
Semester IIHours
MATH 250Calculus III4
MATH 320Linear Algebra3
PHYS 270Introduction to Mechanics3
CC, SOLES, and electives6-9
Junior Year
Semester IHours
Upper-Division MATH 6
CC, SOLES, and electives9-12
Semester IIHours
Upper-Division MATH6
CC, SOLES, and electives9-12
Senior Year
Semester IHours
Upper-Division MATH6
CC, SOLES, and electives9-12
Semester IIHours
Upper-Division MATH6
CC, SOLES, Minor, and electives9-12

Applied Emphasis

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

Preparation for the Major

COMP 150Computer Programming I3
MATH 150Calculus I4
MATH 151Calculus II4
MATH 160Logic for Mathematics and Computer Science3
MATH 250Calculus III4
PHYS 270
270L
Introduction to Mechanics
and Mechanics Lab
4
Total Units22

Major Requirements

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

MATH 320Linear Algebra3-4
MATH 330Ordinary Differential Equations3
MATH 340Numerical Analysis I3
MATH 350Probability3
MATH 445Mathematical Modeling3
MATH 495WSenior Project A1
MATH 496WSenior Project B2
Select two of the following: 26
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 Units27-28

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.

Recommended Program of Study Mathematics, Applied Emphasis

Freshman Year
Semester IUnits
Preceptorial3
MATH 150Calculus I4
MATH 118Essentials of Trigonometry (if needed)1
CC9
Semester IIHours
MATH 151Calculus II4
PHYS 270Introduction to Mechanics3
MATH 160Logic for Mathematics and Computer Science3
CC3-6
Sophomore Year
Semester IHours
MATH 250Calculus III4
COMP 150Computer Programming I3
CC and electives9
Semester IIHours
MATH 320Linear Algebra3
CC and electives9-12
Junior Year
Semester IHours
MATH 330Ordinary Differential Equations3
MATH 350Probability3
CC, Minor, and electives9-12
Semester IIHours
Upper-Division MATH6
CC, Minor, and electives9-12
Senior Year
Semester IHours
MATH 445Mathematical Modeling3
MATH 495WSenior Project A1
Upper-Division MATH3
CC, Minor, and electives9
Semester IIHours
MATH 496WSenior Project B2
Upper-Division MATH 3
CC, Minor, and electives9-12

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:

EDUC 332PCurriculum and Methods of Teaching in Today's Global Secondary Classrooms3
EDUC 334PMethods of Teaching Literacy in Secondary Schools in a Global Society3
EDUC 337PFoundations in Curriculum and Instruction Theory: Secondary Praxis in Historical Context3
EDUC 381CMulticultural and Philosophical Foundations in a Global Society3
EDUC 382Psychological Foundations of Education in a Diverse Society3
EDUC 384CMethods of Teaching English Language and Academic Development in Crosscultural Contexts3
EDUC 491PStudent Teaching for the Single Subject Credential9
EDUC 491SStudent Teaching Seminar for the Single Subject Credential3
EDSP 389PHealthy Environments and Inclusive Education in a Global Society3

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.