The Bachelor of Science in Mathematics provides a strong foundation in mathematics and its applications. Designed to help address our nation’s increasing need for mathematical scientists, technicians and especially teachers, the program emphasizes reflective and conceptual understanding and technique.

First, it provides the fundamental mathematical knowledge to formulate and solve problems. Computer science courses are encouraged, since the use of computers has been instrumental in the expansion of these opportunities. Students who want a basic mathematics degree can culminate their program with the project courses.

Second, the program trains mathematics teachers who want to provide quality mathematical instruction to students in primary or secondary schools. The single-subject teaching concentration was created for this purpose.

The Department of Mathematics and Natural Sciences is committed to the complete academic development of its students. Consequently, where practical, all mathematics and science courses are writing intensive and incorporate a diversity component. Students are advised that all mathematics courses encourage critical thinking by their very nature. Moreover, all mathematics courses require that the student purchase and use a scientific calculator for the operations of the subject matter. Some courses require a more advanced graphing calculator and computer software.

**Single-Subject Mathematics Preparation Program**

The Single-Subject Mathematics Preparation Program is approved by the Commission on Teacher Credentialing. Students who complete the program will not be required to take the California Subject Examination for Teachers (CSET) in mathematics in order to receive their teaching credential. The program emphasizes a strong foundation in mathematical content together with activities designed to help future teachers assume leadership roles in an increasingly complex educational world.

Interested students should complete the following application process:

- Send a letter to the Department Chair requesting admission to the program and copies of transcripts to the Lead Mathematics Faculty for evaluation.
- Upon enrollment, submit two essays for the Mathematics Portfolio (Instructions for the development and completion of a Mathematics Portfolio are sent upon receipt of the request letter. The portfolio is completed for review by the Department Chair or Lead Faculty two months before the last class.)
- In addition to the major program requirements, students must complete two classes MTH 304 and MTH 410.

The study of mathematics must encompass the discipline in its broadest sense. The future mathematician should develop in an academic environment that stresses scholarship, diversity, and growth through a rigorous and focused curriculum of advance mathematics that incorporates: problem solving, mathematics as communication, reasoning, and mathematical connections. The Bachelor of Science in Mathematics program is dedicated to providing such sound preparation and training to a diverse population of nontraditional learners whose goal is to work professionally in mathematics or teach Mathematics in California public schools.

## Program Learning Outcomes

- Employ a variety of reasoning skills and effective strategies for solving problems both within the discipline of mathematics and in applied settings that include non-routine situations
- Use language and mathematical symbols to communicate mathematical ideas in the connections and interplay among various mathematical topics and their applications that cover range of phenomena across appropriate disciplines
- Use current technology tools, such as computers, calculators, graphing utilities, video, and interactive programs that are appropriate for the research and study in mathematics
- Employ algebra and number theory ideas and tools as a base of a fundamental language of mathematics research and communication
- Develop fundamental knowledge in geometry
- Model real world problems with a variety of algebraic and transcendental functions
- Use advanced statistics and probability concepts and methods

## Requirements

To receive a Bachelor of Science in mathematics degree, students must complete at least 180 quarter units as articulated below, 45 of which must be completed in residence at National University, 76.5 of which must be completed at the upper-division level, and a minimum 70.5 units of the University General Education requirements. In the absence of transfer credit, additional general electives may be necessary to satisfy total units for the degree. The following courses are specific degree requirements. Refer to the section on undergraduate admission procedures for specific information regarding admission and evaluation.

**Preparation for the Major (6 courses; 27 quarter units)**

- MTH 210 Probability and Statistics
- MTH 215 College Algebra & Trigonometry
- MTH 220 Calculus I
- MTH 221 Calculus II
- MTH 222 Calculus III
- MTH 223 Calculus IV

**OR**

**Requirements for the Major (17 courses; 76.5 quarter units)**

*Core Requisite(s):*- MTH 311 Topics from Geometry
- MTH 325 Discrete Mathematics
- MTH 435 Linear Algebra
- MTH 433 Differential Equations
- MTH 411 Number Theory
- MTH 416 Algebraic Structures
- MTH 417 Foundations of Geometry
- MTH 418 Statistical Analysis
- MTH 432 Advanced Calculus
- MTH 412 History of Mathematics
- MTH 440 Numerical Analysis
- MTH 441 Abstract Algebra
- MTH 442 Functions of Complex Variables
- MTH 438 Applied Mathematical Modeling
- MTH 460 Problem Solving Strategies
- MTH 461 Methods of Teaching Math
- MTH 450A Mathematics Project Course I

**Additional Requirement for Single Subject Preparation students only (2 courses; 9 quarter units)**

- MTH 304 Math Practicum and Portfolio
- MTH 410 Technology in Math Education