Bachelor of Science
in Mathematics
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Career Success by the Numbers
As our use of digital data and technology grows, so does the need for skilled professionals with a strong foundation in mathematics. National University’s Bachelor of Science in Mathematics degree is designed to help students meet this increasing demand by preparing them for careers as mathematical scientists, technicians, and teachers.
This program emphasizes a reflective and conceptual understanding of mathematics and its applied techniques. Students are advised that all mathematics courses encourage critical thinking by their very nature. The environment stresses scholarship, diversity, and growth through a rigorous and focused curriculum that incorporates reasoning, problem-solving, mathematics as communication, and mathematical connections. Coursework provides sound preparation and training for a diverse population of nontraditional learners whose goal is to work or teach professionally in mathematics.
The BS in Mathematics program offers two concentrations to choose from: Data Analytics and Subject Matter Competency.
The Western Association of Schools and Colleges (WASC) accredits public and private schools, colleges, and universities in the U.S.
Course Details
Preparation for the Major
- 6 courses; 27 quarter units
Course Listing
Prerequisite: MTH 12A and MTH 12B, or Accuplacer test placement evaluation
An introduction to statistics and probability theory. Covers simple probability distributions, conditional probability (Bayes Rule), independence, expected value, binomial distributions, the Central Limit Theorem, hypothesis testing. Assignments may utilize the MiniTab software, or text-accompanying course-ware. Calculator with statistical functions is required.
Prerequisite: MTH 12A and MTH 12B, or Accuplacer test placement evaluation
Examines higher degree polynomials, rational, exponential and logarithmic functions, Trigonometry and matrix Algebra. Completion of this course prepares a student to take Calculus and other upper level Math courses. This course is specifically for mathematics, computer science, and engineering majors.
Conceptual foundation for the field of Data Science, with emphasis on ethically using Data Science skills and tools in a variety of fields.
Prerequisite: ANA 200
Develop skills to acquire and visualize data to clearly communicate Data Science insights to a variety of project stakeholders.
Prerequisite: MTH 215, or MTH 216A and MTH 216B, or Accuplacer test placement
(Cross listed and equivalent to CSC208) An introduction to limits and continuity. Examines differentiation and integration concepts with applications to related rates, curve sketching, engineering optimization problems and business applications. Students may not receive credit for both MTH220 and CSC208.
Prerequisite: MTH 220
A discussion of differentiation and integration concepts of the natural logarithm, exponential and inverse trigonometric functions and applications to volumes of revolution, work and arc length. Covers improper integrals and highlights ideas and contributions of Natpier, Huygens and Pascal. Graphing calculator is required.
*Students in the Data Analytics concentration are encouraged to satisfy the prerequisite courses ANA 200 and ANA 230 by completion of the Google Data Analytics certificate.
Requirements for the Major
- 12 courses; 54 quarter units
Prerequisite: MTH 215, or MTH 216A and MTH 216B, or Accuplacer test placement
A survey of main concepts of Euclidean geometry with the emphasis on the axiomatic approach, constructions, logic of proof, and some ideas from non-Euclidean geometry including historical aspects. A study of axioms of Euclidean Geometry, inference rule, some basic theorems of Euclidean Geometry, and rigorous proofs will be offered.
Prerequisite: MTH 215, or MTH 216A and MTH 216B
(Cross listed and equivalent to CSC331) This course studies combinatory and graph theory as the theoretical foundation for today’s advanced technology. It analyzes algorithms, logic, circuits, number bases, and proofs. Ample applications (graphs, counting problems, Turing Machines, codes) examine the ideas of Euler, Boole, Floyd, Warshall, Dijkstra, Church and Turing, Shannon, Bernoulli. Graphing calculator is required. Students may not receive credit for both MTH325 and CSC331.
Prerequisite: MTH 220 and MTH 325
An examination of systems of linear equations and matrices, elementary vector-space concepts and geometric interpretations. Discusses finite dimensional vector spaces, linear functions and their matrix representations, determinants, similarity of matrices, inner product, rank, eigenvalues and eigenvectors, canonical form and Gram-Schmidt process. Computer software will demonstrate computational techniques with larger matrices. Graphing calculator or appropriate software may be required.
Prerequisite: MTH 210
This course is a continuation of the Introductory Statistics MTH 210 course. It includes the study and application of descriptive statistics, data displays, measures of central tendency and variability, random variables, sampling distributions, estimation, hypothesis tests, linear regression, and correlation.
Concentration in Data Analytics
The concentration in Data Analytics provides students with the fundamental mathematical knowledge to formulate and solve problems in industry and research related to data analysis. This program is designed as a solid preparation for careers that apply mathematics to computer sciences areas, especially data sciences. Upon successful completion of the concentration, students will be able to:
- Apply main approaches to data visualization
- Use main methods of acquisition, management, and preparation data for analysis
- Apply main mathematical and statistical models to appropriately formulate and use data analysis
Note: As part of NU’s recent partnership with Google, students in the Data Analytics concentration are encouraged to satisfy the prerequisite courses (ANA 200 and ANA 230) by completing the Google Data Analytics Certificate.
Requirements for the Concentration
- 4 courses; 18 quarter units
Prerequisite: ANA 200 and ANA 230
Students will apply Data Acquisition techniques for different kinds of data, including structured and unstructured data collected from a variety of sources
Prerequisite: ANA 310
Application of the Data Management and Governance Process for Analytics including: Data Structure, Privacy, Security, and working with Customer-Centered Databases. Evaluation of how these data relate and aggregates in databases, data marts, data warehouses, and data lakes and how they are used by analytical decision tools will be explored through case studies and projects.
Prerequisite: ANA 320 and MTH 330
Develop skills to clean, transform, and prepare raw data for exploratory statistical Analysis. Transform and merge multiple data sources into a single useable data set for analysis. The progression will then focus on standardizing variable formats, investigating outliers, analyzing missing data, and in general conduct a thorough exploration of the dataset. This process will highlight the limitations, strengths, and potential biases of the dataset and how to reduce these biases.
Concentration in Subject Matter Competency
The Concentration in Subject Matter Competency concentration trains teachers to provide quality mathematical instruction to students in secondary schools. Those who complete the BS in Mathematics program will not be required to take the California Subject Examination for Teachers (CSET) in mathematics to receive their teaching credentials. The program emphasizes a strong foundation in math content together with activities designed to help future teachers assume leadership roles in an increasingly complex educational world. Upon successful completion of the concentration, students will be able to:
- Use up-to-date computer-based technology in the mathematics classroom
- Apply problem solving strategies to examine and analyze mathematics questions
- Apply main methods and models of teaching mathematics
Requirements for the Concentration
- 4 courses; 18 quarter units
Prerequisite: MTH 215, or MTH 216A and MTH 216B, or MTH 301
Computer Technology in the Mathematics Classroom An overview of the computer-based technology in the mathematics classroom. Evaluates graphing calculators, and computer software such as Maple, Scientific Workplace, Geometer’s Sketchpad, MiniTab, SPSS, and others to determine their value in illuminating concepts in the curriculum.
Prerequisite: MTH 215, or MTH 216A and MTH 216B, or MTH 301
Computer Technology in the Mathematics Classroom An overview of the computer-based technology in the mathematics classroom. Evaluates graphing calculators, and computer software such as Maple, Scientific Workplace, Geometer’s Sketchpad, MiniTab, SPSS, and others to determine their value in illuminating concepts in the curriculum.
Prerequisite: MTH 311 and MTH 412 and MTH 210 and MTH 460
A critical inquiry into present-day tendencies in teaching mathematics in order to help prospective mathematics teachers to acquire their professional skills in the teaching of mathematics in secondary school. The teaching strategies that align to the new CA CommonCore Standards receive a special consideration. Fundamental concepts of mathematics and effective approaches to their teaching will be discussed.
Degree 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, and 76.5 of which must be completed at the upper-division level. In the absence of transfer credits, students may need to take additional general electives to satisfy total units for the degree. Refer to the section on undergraduate admission procedures for specific information regarding admission and evaluation.
Program Learning Outcomes
Upon successful completion of this program, students will be able to:
- Employ reasoning skills and strategies to solve mathematics problems
- Demonstrate the use of language and symbols to communicate ideas, connections, and interplay in mathematics
- Distinguish mathematical technology, such as computers, calculators, graphing tools, video, and interactive programs relevant to the study of mathematics
- Employ algebra and number theory as a base for the language of mathematics in research and communication
- Demonstrate a fundamental knowledge of geometry
- Model real-world problems with algebraic and transcendental functions
- Use advanced statistics and probability concepts and methods
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Successful completion and attainment of National University degrees do not lead to automatic or immediate licensure, employment, or certification in any state/country. The University cannot guarantee that any professional organization or business will accept a graduate’s application to sit for any certification, licensure, or related exam for the purpose of professional certification.
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