Mathematics B.S.

  1. A Vanguard University graduate in Mathematics will demonstrate competence in mathematical abstraction;
  2. Effectively communicate mathematics both orally and in writing;
  3. Use the basic concepts of computer programming and numerical methods in solving mathematical and related problems;
  4. Be able to independently investigate a mathematical topic; and
  5. Demonstrate facility with the theory and applications of calculus.
Core Curriculum Requirements 150
Mathematics Major Requirements 41
General Electives 29
Total Units120

Mathematics Major Requirements

Lower Division:
CSCI-110CIntroduction to Computer Science4
MATH-180CCalculus 14
MATH-181CCalculus II4
MATH-265CIntro to Statistical Methods3
MATH-281Multivariable Calculus4
MATH-285Introduction to Advanced Mathematics3
Upper Division:
MATH-300Linear Algebra3
MATH-310Differential Equations3
MATH-380Elementary Analysis I3
MATH-488Senior Project2
or MATH-485 Undergraduate Mathematics Research
MATH-499CMathematics Capstone2
MATH Electives:
Select six units from the following:6
Number Theory
Probability and Statistics
Discrete Mathematics
Numerical Analysis 2
Abstract Algebra
Higher Geometry
Total Units41

Number of units required from the Core Curriculum not included in the major requirements below. 


Requires a programming language class: ENGR 307, CSCI 208, or CSCI 218

Disclaimer: This sample Four Year Plan is provided as a guide for the recommended sequencing of courses. Vanguard University requires that students complete a minimum of 120 units of required course work as outlined on the Requirements tab in order to receive a Bachelor of Arts, Bachelor of Music, Bachelor of Science, or Bachelor of Science in Nursing degree. It is the student's responsibility to confirm with the department the course rotation before enrolling in courses. If applicable, please note the footnotes at the bottom of the page for additional information related to courses listed in a particular year and term. Questions, contact the Department of Physical Sciences and Applied Mathematics. 

Study Abroad Participation: Students interested in participating in the university's Study Abroad programs are encouraged to reach out to the Global Education and Outreach Office for more information and collaboration in their academic course planning. Students using Education and Training Benefits through the U.S. Department of Veteran Affairs are encouraged to also reach out to the School Certifying Official for more information regarding how benefits can be applied.

Plan of Study Grid
Year 1 Term 1Units
CORE-100C Cornerstone 1
MATH-180C Calculus 1 4
ENGL-120C Persuasive Writing 3
NT-101C New Testament Survey 3
CSCI-110C Introduction to Computer Science 4
Year 1 Term 2
MATH-181C Calculus II 4
COMM-201C Speech Composition and Presentation 3
THEO-101C Foundations of Christian Life 3
HIST-PLHDHistory Core Requirement 3
MATH-285 Introduction to Advanced Mathematics 3
Year 2 Term 1
MATH-281 Multivariable Calculus 4
OT-201C Old Testament Survey 3
MATH-300 Linear Algebra 3
ENGL-220C Researched Writing 3
KINE-148C Lifetime Fitness and Wellness Lecture 3
Year 2 Term 2
MATH-265C Intro to Statistical Methods 3
SOC-PLCRSocial Science Core Curriculum Reqm't 3
MATH-310 Differential Equations 3
MATH-390 Numerical Analysis 3
NSCI-PLCRScience Lec/Lab Requirement 4
Year 3 Term 1
THEO-300C Developing a Christian World View 3
SOC-PLCRSocial Science Core Curriculum Reqm't 3
MATH-CELCTMath UD Elective 3
ELCT-PLUD6Upper Division Elective 6
Year 3 Term 2
MATH-330 Number Theory 3
MATH-380 Elementary Analysis I 3
HIST-PLCR1History Core Req (US Hist Or Democracy) 3
MATH-488 Senior Project 2
ELCT-PLUD3Upper Division General Elective 3 Units 3
Year 4 Term 1
HIST-PLCR2History Core Requirement (World Civ) 3
CHIS-400C Christian Heritage 3
MATH-CELCTMath UD Elective 3
ELCT-PLHD6Electives 6 Units 6
Year 4 Term 2
MATH-499C Mathematics Capstone 2
ENGL-230C Literature and the Human Experience 3
FINA-PLCRFine Arts Core Curriculum Requirement 3
ELCT-PLHD6Electives 6 Units 6
 Total Units121