Bachelor of Science
in Mathematics
100% Online
Self-paced with interactive learning assessments.
Year-round
enrollment
Speak with an enrollment advisor to get started today.
240K+ Alumni Worldwide
Become a member of NU’s global community.
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 221
A study of sequences, Taylor Polynomials, infinite series, tests for convergence, and the power series. An overview of ordinary differential equations; the initial-value problem; exactness and integrating factors; and Bernoulli and higher-order equations with forcing functions. A graphing calculator is required.
Prerequisite: MTH 322
A study of functions of several variables: extrema and Lagrange Multipliers, with application to today’s optimization-problems in engineering, business, and technology. Topics include vector algebra and space geometry; Kepler’s Laws with application to satellite orbital velocity problems and the rendezvous phenomenon, iterated integrals and applications, and the Jacobian transformation. A graphing calculator is required.
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 223 and MTH 435
A study of ordinary differential equations with emphasis on linear equations and systems of linear equations. An analysis of the existence and uniqueness of solutions of ordinary differential equations with initial conditions, so called Cauchy problem. Examines linear differential equations of first, second and higher orders, and linear systems of ordinary differential equations. Stresses application to engineering problems.
Prerequisite: MTH 215, or MTH 216A and MTH 216B, or MTH 301
An examination of fundamental concepts of numbers, including divisibility, congruencies, the distribution of Primes, Pythagorean triples, the Euclidean Algorithm, the Fundamental Theorem of Arithmetic, Diophantine equations, and Goldbach’s conjecture. Emphasizes active student involvement in posing and testing conjectures, formulating counter examples, logical arguments and proofs.
Prerequisite: MTH 435 and MTH 325
A look at groups, rings and fields, as well as applications of these structures. Discusses equivalence relations, Lagrange’s Theorem, homomorphisms, isomorphisms, Cayley’s Theorem and quaternions. Graphing calculator may be required.
Prerequisite: MTH 215, or MTH 216A and MTH 216B, or MTH 311
A discussion of fundamental ideas and processes common to Euclidean and Non-Euclidean Geometries: projective, affine and metric geometry. Examines the interplay between inductive and deductive reasoning and formal and informal proof. Addresses uses in science (transformations, scaling), art (Escher-type tessellations, projections), architecture (three-dimensional figures) and computer science (fractals, computer-aided design).
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.
Prerequisite: MTH 323
A look at sets, functions and real numbers. Topics include the Completeness axiom, cardinality and Cantor’s Theorem, LimSup and LimInf; the topology of R1 and R2, open sets, limit points, compactness and the Heine-Borel Theorem, continuous functions properties, uniform continuity, the Mean-Value theorem; the Riemann integral and the Lebesgue Measure.
Prerequisite: MTH 215, or MTH 216A and MTH 216B, or MTH 301
Examines currents in the development of mathematics and throughout ancient Egypt, Babylon, China, and the Middle East. Studies math’s influence on society through the major events of Europe, contemporary developments, and some projections into the future, including the women and men who played key roles in the evolution of mathematics.
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.
Prerequisite: Students must complete the major for a BS in Mathematics and complete an interview with the mathematics lead faculty before taking a project course. ; MTH 210; MTH 215, or MTH 216A and MTH 216B; MTH 220; MTH 221; MTH 322; MTH 323; MTH 311; MTH 325; MTH 435; MTH 433; MTH 411; MTH 416; MTH 417; MTH 330; MTH 432; MTH 412; ANA 200; ANA 230 and Completion of the following three courses within one concentration from either list:; ANA 310; ANA 320; ANA 330, or MTH 410; MTH 460; MTH 461
This is a project course rather than an independent study. Students apply previously acquired skills and knowledge from diverse mathematics disciplines to the development of research projects pertaining to real-world and scientific problems they select. Grading is S or U only.
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.
Prerequisite: Students must complete the major for a BS in Mathematics and complete an interview with the mathematics lead faculty before taking a project course. ; MTH 210; MTH 215, or MTH 216A and MTH 216B; MTH 220; MTH 221; MTH 322; MTH 323; MTH 311; MTH 325; MTH 435; MTH 433; MTH 411; MTH 416; MTH 417; MTH 330; MTH 432; MTH 412; ANA 200; ANA 230 and Completion of the following three courses within one concentration from either list:; ANA 310; ANA 320; ANA 330, or MTH 410; MTH 460; MTH 461
This is a project course rather than an independent study. Students apply previously acquired skills and knowledge from diverse mathematics disciplines to the development of research projects pertaining to real-world and scientific problems they select. Grading is S or U only.
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
Admissions
Enrolling in a university is a big decision. That’s why our dedicated admissions team is here to guide you through the admissions process and help you find the right program for you and your career goals.
To that end, we’ve simplified and streamlined our application process, so you can get enrolled in your program right away. Because we accept and review applications year round, you can begin class as soon as next month, depending on your program and location of choice.
Learn more about undergraduate, graduate, military, and international student admissions, plus admissions information for transfer students. You can also learn more about our tuition rates and financial aid opportunities.
To speak with our admissions team, call (855) 355-6288 or request information and an advisor will contact you shortly. If you’re ready to apply, simply start your application today.
4 WEEK COURSES
Why Choose National University
- 190+ Degree Programs
- Year-round enrollment
- 4- and 8-week courses
- Adult-focused for 50 years
- Military-friendly
National University takes a holistic, whole-human approach to student well-being. That means we’ll be by your side every step of the way, breaking any barriers you may face in starting and achieving your education. Our supportive ecosystem measures success across five support pillars, including financial, social, emotional, career, and family life. At NU, you’ll be part of a family — a connected, engaged, and inspired community of students from across the country and around the globe. From the day you begin your first class, you’ll have the support of our faculty and staff, backed by a diverse community of students and alumni, who can help you reach your educational and professional goals.
“National University has impacted my career. You can immediately apply what you learn in class to your business.”
-Francisco R., Class of 2016
FLEXIBLE SCHEDULE
The Key Grant Scholarship
Do you qualify for a needs-based scholarship? Learn more about the NU Key Grant Scholarship and other scholarship opportunities to unlock the door to your dreams!
Program Disclosure
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.
Program availability varies by state. Many disciplines, professions, and jobs require disclosure of an individual’s criminal history, and a variety of states require background checks to apply to, or be eligible for, certain certificates, registrations, and licenses. Existence of a criminal history may also subject an individual to denial of an initial application for a certificate, registration, or license and/or result in the revocation or suspension of an existing certificate, registration, or license. Requirements can vary by state, occupation, and/or licensing authority.
NU graduates will be subject to additional requirements on a program, certification/licensure, employment, and state-by-state basis that can include one or more of the following items: internships, practicum experience, additional coursework, exams, tests, drug testing, earning an additional degree, and/or other training/education requirements.
All prospective students are advised to review employment, certification, and/or licensure requirements in their state, and to contact the certification/licensing body of the state and/or country where they intend to obtain certification/licensure to verify that these courses/programs qualify in that state/country, prior to enrolling. Prospective students are also advised to regularly review the state’s/country’s policies and procedures relating to certification/licensure, as those policies are subject to change.
National University degrees do not guarantee employment or salary of any kind. Prospective students are strongly encouraged to review desired job positions to review degrees, education, and/or training required to apply for desired positions. Prospective students should monitor these positions as requirements, salary, and other relevant factors can change over time.