BS in Applied Mathematics
59-63 units
Students in the applied mathematics major learn to solve problems from a variety of disciplines by developing mathematical models, applying computational algorithms, and analyzing results. The applied mathematics major allows students to choose either the standard track or one of four concentrations:
- Actuarial Science Concentration
- Computer Science Concentration
- Physics Concentration
- Statistics and Data Science Concentration
Students majoring in applied mathematics are encouraged to consider a minor in statistics. For qualified students, an advising pathway is available to pursue a BS in Applied Mathematics with computer science concentration and an MS in Applied Statistics and Data Science in a total of 5 years. Ask your academic advisor for details.
Career Opportunities
This major prepares students to be quantitative experts in a variety of fields: actuarial science, computer science, physics, university teaching, mathematical research (for business, government, or the academy), cryptography, finance and economics, statistics and data analysis, or operations research and management consulting. APU mathematics graduates have advanced to prestigious graduate schools and have moved into attractive industry positions.
Requirements
Code | Title | Units |
---|---|---|
MATH 165 | Calculus I | 3 |
MATH 166 | Calculus II | 3 |
MATH 167 | Sequences and Series ^{F} | 1 |
MATH 250 | Data Analysis ^{F} | 3 |
MATH 268 | Multivariable Calculus | 3 |
MATH 270 | Ordinary Differential Equations ^{S} | 4 |
MATH 295 | Applied Linear Algebra ^{F} | 3 |
MATH 361 | Introduction to Modeling with Probability | 3 |
MATH 455 | Numerical Analysis ^{ES} | 3 |
MATH 480 | Writing 3: Mathematical Reading, Writing, and Presentation ^{1, F} | 3 |
MATH 496 | Mathematics Senior Seminar ^{2, S} | 3 |
CS 120 | Introduction to Computer Science I ^{3} | 4 |
Choose the standard track or one of the concentrations below | 23-27 | |
Total Units | 59-63 |
Standard Applied Mathematics Track
Code | Title | Units |
---|---|---|
Standard Applied Mathematics Track Requirements | ||
MATH 269 | Vector Calculus ^{OF} | 2 |
MATH 370 | Partial Differential Equations ^{OS} | 3 |
MATH 375 | Dynamical Systems ^{OF} | 3 |
MATH 470 | Complex Analysis ^{ES} | 3 |
PHYC 161 | Physics for Science and Engineering I ^{4, F} | 5 |
CS 125 | Introduction to Computer Science II | 4 |
Select at least 3 units from the following: | 3-5 | |
Mathematical Statistics ^{EF} | ||
Advanced Topics in Mathematics | ||
Physics for Science and Engineering II ^{S} | ||
Computational Methods for Physics ^{EF} | ||
Total Units | 23-25 |
Actuarial Science Concentration
Code | Title | Units |
---|---|---|
Actuarial Science Concentration Requirements | ||
MATH 362 | Mathematical Statistics ^{EF} | 3 |
ACCT 120 | Principles of Accounting I | 3 |
ACCT 121 | Principles of Accounting II | 3 |
ECON 200 | Survey of Economics ^{5} | 3 |
FIN 300 | Business Finance for Managers | 3 |
FIN 330 | Financial Analysis ^{F} | 3 |
FIN 432 | Investment Analysis ^{S} | 3 |
FIN 436 | Financial Risk Management ^{F} | 3 |
Total Units | 24 |
Computer Science Concentration
Code | Title | Units |
---|---|---|
Computer Science Concentration Requirements | ||
MATH 269 | Vector Calculus ^{OF} | 2 |
CS 125 | Introduction to Computer Science II | 4 |
CS 160 | Discrete Structures | 3 |
CS 260 | Algorithms and Data Structures | 3 |
PHYC 161 | Physics for Science and Engineering I ^{4, F} | 5 |
Select 6 units from the following: | 6 | |
Advanced Topics in Mathematics | ||
Database Management Systems ^{6} | ||
Computer Architecture and Organization | ||
Artificial Intelligence | ||
Machine Learning | ||
Advanced Database Application Programming | ||
Total Units | 23 |
Physics Concentration
Code | Title | Units |
---|---|---|
Physics Concentration Requirements | ||
MATH 269 | Vector Calculus ^{OF} | 2 |
MATH 370 | Partial Differential Equations ^{OS} | 3 |
PHYC 161 | Physics for Science and Engineering I ^{4, F} | 5 |
PHYC 162 | Physics for Science and Engineering II ^{S} | 5 |
PHYC 263 | Physics for Science and Engineering III ^{F} | 5 |
PHYC 380 | Classical Mechanics ^{OF} | 4 |
Select 3 units from the following: | 3 | |
Dynamical Systems ^{OF} | ||
Complex Analysis | ||
Advanced Topics in Mathematics | ||
Electricity and Magnetism ^{ES} | ||
Thermodynamics ^{ES} | ||
Computational Methods for Physics ^{EF} | ||
Total Units | 27 |
Statistics and Data Science Concentration
Code | Title | Units |
---|---|---|
Statistics and Data Science Concentration Requirements | ||
MATH 350 | Statistical Models ^{ES} | 3 |
MATH 362 | Mathematical Statistics | 3 |
MATH 492 | Ethics in Data Analytics ^{S} | 2 |
CS 125 | Introduction to Computer Science II | 4 |
Select one of: | 3 | |
Discrete Mathematics and Proof ^{F} | ||
Discrete Structures | ||
Select 9 units from the following: | 9 | |
Algorithms and Data Structures | ||
Machine Learning | ||
Econometrics ^{EF} | ||
Discrete Systems Modeling and Simulation | ||
Real Analysis ^{EF} | ||
Data Visualization ^{F} | ||
Advanced Topics in Mathematics | ||
Applied Regression Analysis ^{S} | ||
Analysis of Variance and Design of Experiments | ||
Data Mining ^{S} | ||
Total Units | 24 |
- ^{ 1 }
Meets the General Education Writing 3 requirement.
- ^{ 2 }
Meets the General Education Integrative and Applied Learning requirement.
- ^{ 3 }
Meets the General Education Oral Communication requirement if taken with CS 290 and CS 480, or ENGR 240 and ENGR 480.
- ^{ 4 }
Meets the General Education Natural Sciences requirement.
- ^{ 5 }
Meets the General Education Social Sciences requirement.
- ^{ 6 }
Meets the General Education Oral Communication requirement if taken with CS 120 and CS 480.
F | Offered in Fall only |
S | Offered in Spring only |
F/S | Offered in both Fall and Spring terms |
EF | Offered in Fall in even years |
ES | Offered in Spring in even years |
OF | Offered in Fall in odd years |
OS | Offered in Spring in odd years |
Program Learning Outcomes
Students who successfully complete this program shall be able to:- Master fundamental mathematical methods and problem solving strategies.
- Communicate mathematical ideas in speech and writing, combining precise language and notation with insightful explanation.
- Use mathematical models to analyze cross-disciplinary problems.
- Employ appropriate technology and computational techniques.
- Articulate how Christian perspectives and the study of mathematics and its applications mutually inform and enhance each other.