Mathematics Major (B.S.)

59-61 units

The mathematics major at Azusa Pacific University provides students with a strong foundation in the mathematics of continuous change (calculus and analysis), of pattern and symmetry (linear and abstract algebra), of space (geometry and topology), of chance (probability), and of data (statistics). The major focuses on depth of conceptual understanding, rigorous mathematical proof, and problem-solving strategies. While this major does treat applications of mathematics and includes courses in physics and computer science, the emphasis is on theory. Students who prefer a focus on applications are encouraged to choose the applied mathematics major.  

A student who majors in mathematics has the option of obtaining a Bachelor of Arts (B.A.) or a Bachelor of Science (B.S.) degree. Both degrees have the same mathematics requirements, but the B.S. degree requires a minor in physicschemistry, or computer science (see these subject areas for requirements and course descriptions).

Program Learning Outcomes

Students who complete this program are able to:

PLO 1: Master fundamental computational procedures and problem-solving strategies

PLO 2: Employ logical reasoning and standard proof techniques to construct rigorous mathematical arguments

PLO 3: Communicate mathematical ideas in speech and writing, combining precise language and notation with insightful explanation

PLO 4: Apply analytical approaches to a range of cross-disciplinary problems

PLO 5: Demonstrate appropriate use of technology specific to mathematics

PLO 6: Articulate how Christian perspectives and the study of mathematics mutually inform and enhance each other

Career Opportunities

The mathematics major prepares students to be quantitative experts in a variety of fields: secondary or university teaching, mathematical research (for business, government, or the academy), cryptography, finance and economics, statistics and data analysis, or operations research and management consulting. Mathematics is also an excellent major for quantitatively minded students who want to go into business (see the finance minor), medicine (see the premedical program) or law (see the prelaw minor). Math majors have some of the highest rates of acceptance to graduate schools in all three of these fields.  

APU mathematics graduates have gone on to prestigious graduate schools, accepted choice offers to teach at various secondary schools, been selected for Teach for America and Math for America, and moved into attractive industry positions.

Students preparing for a career in actuarial science, industrial mathematics, mathematical physics, or computer science are encouraged to consider the applied mathematics major.  
 
There is a strong demand for mathematics teachers. Students desiring a junior or senior high school teaching credential should note the requirements of the single-subject waiver program for mathematics. Completion of the Secondary Math Education Track (see below) waives the CSET exam for entrance into a credentialing program.

Requirements

Required Courses
MATH 165Calculus I3
MATH 166Calculus II3
MATH 167Sequences and Series1
MATH 200Mathematics Seminar II1
MATH 250Data Analysis3
MATH 268Multivariable Calculus3
MATH 270Ordinary Differential Equations4
MATH 280Discrete Mathematics and Proof3
MATH 290Linear Algebra3
MATH 400Abstract Algebra3
MATH 450Real Analysis3
MATH 480Writing 3: Mathematical Reading, Writing, and Presentation 13
MATH 496Senior Seminar 23
PHYC 161Physics for Science and Engineering I 35
CS 120Introduction to Computer Science I 44
Total Units45

In addition to the required courses above, complete one of the tracks below. You must also complete a minor in physics, chemistry, or computer science.  

General Mathematics Track
Complete at least 14 units from the courses below. You must complete MATH 361 and at least one of MATH 460 and MATH 470. You cannot count both PHYC 162 and CS 125.14
Vector Calculus
Geometry
Probability and Statistics I
Number Theory
Topology
Complex Analysis
Advanced Topics in Mathematics
Physics for Science and Engineering II
Introduction to Computer Science II
Total Units14
Secondary Math Education Track
Complete all 16 units below. This track meets the requirements of the CTC-approved Single Subject Waiver program.
MATH 130Introduction to Statistics 53
MATH 301Mathematics for Secondary Teachers3
MATH 340Geometry3
MATH 390Number Theory3
EDLS 202Introduction to Teaching as a Profession 7-12 64
Total Units16