Applied & Computational Mathematics & Statistics (BS)
The requirements for the degree include courses that develop a strong foundation in the methods of applied mathematics and data analysis, while allowing students to also take courses in a wide variety of application areas. The specific requirements for the bachelor of science in applied and computational mathematics and statistics, beyond the university and college requirements are as follows.
| Code | Title | Hours |
|---|---|---|
| CHEM 10171 & CHEM 11171 | Introduction to Chemical Principles and Introduction to Chemical Principles Laboratory | 4 |
| CHEM 10172 | Organic Structure and Reactivity | 3 |
| or CHEM 10122 | General Chemistry: Fundamental Principles and Biological Processes | |
| PHYS 10310 & PHYS 10320 | Engineering Physics I: Mechanics and Engineering Physics II: Electromagnetism 1 | 8 |
| Select one of the following sequences: | 8 | |
| Applied Calculus I and Applied Calculus II | ||
| Calculus I and Calculus II 1 | ||
| ACMS 20550 & ACMS 20750 | Introduction to Applied Mathematics Methods I and Introduction to Applied Mathematical Methods II | 7 |
| ACMS 20210 | Scientific Computing | 3.5 |
| or ACMS 20220 | Scientific Computing with Python | |
| ACMS 20620 | Applied Linear Algebra | 3 |
| ACMS 30530 | Introduction to Probability | 3 |
| ACMS 30600 | Statistical Methods & Data Analysis I | 3.5 |
| Select one of the following: | 3 | |
| Mathematical/Comp Modeling | ||
| Mathematical and Computational Modeling in Neuroscience | ||
| Introduction to Stochastic Modeling | ||
| Nonlinear Dynamical Systems | ||
| Stochastic Simulation Algorithms 2 | ||
| ACMS 40390 | Numerical Analysis | 3 |
| ACMS electives (numbered 30000 and above) 2 | 6 | |
| MATH or ACMS elective (numbered 30000 or above) 2, 3, 4 | 3 | |
| Science elective | 3 | |
| Total Hours | 61 | |
- 1
Equivalent or higher sequences in science maybe substituted, e.g., Honors Mathematics I (MATH 10850), Honors Mathematics II (MATH 10860) for Calculus I (MATH 10550), Calculus II (MATH 10560).
- 2
Some ACMS courses, Probability and Statistics (ACMS 30440) in particular, are not acceptable as electives for the major. The list of acceptable courses for ACMS majors can be obtained from the student’s advisor
- 3
Introduction to Introduction to Mathematical Reasoning (MATH 20630) is also an acceptable ACMS/MATH elective
- 4
Students with an interest in attending graduate school in mathematics or applied mathematics are encouraged to take Algebra (MATH 30710) and Functional Analysis (ACMS 60550).
- 5
An appropriate class in bioinformatics, biophysics, or a related topic, may be substituted for 3 credits in ACMS coursework with the permission of the Director of Undergraduate Studies.
- 6
One of the courses satisfies the modeling course requirement. If more than one course is taken, the other can be counted as an ACMS elective.
These requirements total 43 credits in ACMS and MATH and 61 credits in Science.
ACMS Sample Curriculum
| First Year | ||
|---|---|---|
| First Semester | Hours | |
| ACMS 10550 | Applied Calculus I | 4 |
| CHEM 10171 & CHEM 11171 |
Introduction to Chemical Principles and Introduction to Chemical Principles Laboratory |
4 |
| PHYS 10310 | Engineering Physics I: Mechanics | 4 |
| University Requirement | 3 | |
| University Requirement | 3 | |
| FYS 10101 | Moreau First-Year Seminar | 1 |
| Hours | 19 | |
| Second Semester | ||
| ACMS 10560 | Applied Calculus II | 4 |
| CHEM 10172 & CHEM 11172 or CHEM 10122 |
Organic Structure and Reactivity or General Chemistry: Fundamental Principles and Biological Processes |
4 |
| PHYS 10320 | Engineering Physics II: Electromagnetism | 4 |
| University Requirement | 3 | |
| University Requirement | 3 | |
| Hours | 18 | |
| Sophomore Year | ||
| First Semester | ||
| ACMS 20550 | Introduction to Applied Mathematics Methods I | 3.5 |
| ACMS 20620 | Applied Linear Algebra | 3 |
| Language | 3 | |
| University Requirement | 3 | |
| Elective | 3 | |
| Hours | 15.5 | |
| Second Semester | ||
| ACMS 20750 | Introduction to Applied Mathematical Methods II | 3.5 |
| ACMS 20210 or ACMS 20220 |
Scientific Computing or Scientific Computing with Python |
3.5 |
| ACMS 30530 | Introduction to Probability | 3 |
| Language | 3 | |
| University Requirement | 3 | |
| Hours | 16 | |
| Junior Year | ||
| First Semester | ||
| ACMS 30600 | Statistical Methods & Data Analysis I | 3.5 |
| ACMS 40390 | Numerical Analysis | 3 |
| Language | 3 | |
| University Requirement | 3 | |
| Elective | 3 | |
| Hours | 15.5 | |
| Second Semester | ||
| ACMS Elective | 3 | |
| ACMS/MATH Elective | 3 | |
| University Requirement | 3 | |
| Science Elective | 3 | |
| Elective | 3 | |
| Hours | 15 | |
| Senior Year | ||
| First Semester | ||
| ACMS 40730 |
Mathematical/Comp Modeling 1 or Mathematical and Computational Modeling in Neuroscience or Introduction to Stochastic Modeling or Nonlinear Dynamical Systems |
3 |
| ACMS Elective | 3 | |
| Elective | 9 | |
| Hours | 15 | |
| Second Semester | ||
| ACMS Elective | 3 | |
| Electives | 9 | |
| Moreau Senior Capstone | 1 | |
| Hours | 13 | |
| Total Hours | 127 | |
- 1
One of the courses satisfies the modeling course requirement. If more than one course is taken, the other can be counted as an ACMS elective.
Concentration in Biological Sciences
The required courses for this concentration are as follows.
| Code | Title | Hours |
|---|---|---|
| CHEM 10171 | Introduction to Chemical Principles 1 | 3 |
| CHEM 10172 & CHEM 20273 & CHEM 21273 | Organic Structure and Reactivity and Organic Reactions and Applications and Organic Reactions and Applications Laboratory 1 | 7 |
| PHYS 10310 & PHYS 10320 | Engineering Physics I: Mechanics and Engineering Physics II: Electromagnetism 1 | 8 |
| BIOS 10171 & BIOS 10172 | Biology I :Big Questions and Biology II: Molecules to Ecosystems | 6 |
| Select one of the following sequences: 1 | 8 | |
| Applied Calculus I and Applied Calculus II | ||
| Calculus I and Calculus II | ||
| ACMS 20550 & ACMS 20750 | Introduction to Applied Mathematics Methods I and Introduction to Applied Mathematical Methods II | 7 |
| ACMS 20210 | Scientific Computing | 3.5 |
| or ACMS 20220 | Scientific Computing with Python | |
| ACMS 20620 | Applied Linear Algebra | 3 |
| ACMS 30530 | Introduction to Probability | 3 |
| ACMS 30600 | Statistical Methods & Data Analysis I | 3.5 |
| Select one of the following: | 3 | |
| Mathematical/Comp Modeling | ||
| Mathematical and Computational Modeling in Neuroscience | ||
| Introduction to Stochastic Modeling 6 | ||
| ACMS 40390 | Numerical Analysis | 3 |
| ACMS courses numbered 30000 and above 2, 5 | 6 | |
| BIOS 20303 | Fundamentals of Genetics | 3 |
| BIOS 30341 & BIOS 30312 | Cell Biology and General Ecology | 6 |
| Biology Elective (BIOS) 5 | 3 | |
| Elective in Biology, Chemistry or Physics | 3 | |
| Total Hours | 79 | |
- 1
Equivalent or higher sequences in science maybe substituted, e.g., Honors Mathematics I (MATH 10850), Honors Mathematics II (MATH 10860) for Calculus I (MATH 10550), Calculus II (MATH 10560).
- 2
Some ACMS courses, Probability and Statistics (ACMS 30440) in particular, are not acceptable as electives for the major. The list of acceptable courses for ACMS majors can be obtained from the student’s advisor.
- 3
Introduction to Introduction to Mathematical Reasoning (MATH 20630) is also an acceptable ACMS/MATH elective.
- 4
Students with an interest in attending graduate school in mathematics or applied mathematics are encouraged to take Algebra (MATH 30710) and Functional Analysis (ACMS 60550).
- 5
An appropriate class in bioinformatics, biophysics, or a related topic, may be substituted for 3 credits in ACMS coursework with the permission of the Director of Undergraduate Studies.
- 6
One of the courses satisfies the modeling course requirement. If more than one course is taken, the other can be counted as an ACMS elective.
These requirements total 40 credits in ACMS and MATH and 79 credits in Science.
ACMS/BIOS Sample Curriculum:
| First Year | ||
|---|---|---|
| First Semester | Hours | |
| ACMS 10550 | Applied Calculus I | 4 |
| CHEM 10171 & CHEM 11171 |
Introduction to Chemical Principles and Introduction to Chemical Principles Laboratory |
4 |
| BIOS 10171 & BIOS 11173 |
Biology I :Big Questions and Biological Investigations Laboratory |
4 |
| University Requirement | 3 | |
| University Requirement | 3 | |
| Moreau First Year Seminar | 1 | |
| Hours | 19 | |
| Second Semester | ||
| ACMS 10560 | Applied Calculus II | 4 |
| CHEM 10172 & CHEM 11172 |
Organic Structure and Reactivity and Organic Structure and Reactivity Laboratory |
4 |
| BIOS 10172 & BIOS 11174 |
Biology II: Molecules to Ecosystems and Research Experience in Biology Laboratory |
4 |
| University Requirement | 3 | |
| University Requirement | 3 | |
| Hours | 18 | |
| Sophomore Year | ||
| First Semester | ||
| ACMS 20550 | Introduction to Applied Mathematics Methods I | 3.5 |
| ACMS 20620 | Applied Linear Algebra | 3 |
| CHEM 20273 & CHEM 21273 |
Organic Reactions and Applications and Organic Reactions and Applications Laboratory |
4 |
| Language | 3 | |
| University Requirement | 3 | |
| Hours | 16.5 | |
| Second Semester | ||
| ACMS 20750 | Introduction to Applied Mathematical Methods II | 3.5 |
| ACMS 20210 or ACMS 20220 |
Scientific Computing or Scientific Computing with Python |
3.5 |
| ACMS 30530 | Introduction to Probability | 3 |
| Language | 3 | |
| University Requirement | 3 | |
| Hours | 16 | |
| Junior Year | ||
| First Semester | ||
| ACMS 30600 | Statistical Methods & Data Analysis I | 3.5 |
| PHYS 10310 | Engineering Physics I: Mechanics | 4 |
| BIOS 30341 or BIOS 30312 |
Cell Biology or General Ecology |
3 |
| Language | 3 | |
| University Requirement | 3 | |
| Hours | 16.5 | |
| Second Semester | ||
| BIOS 20303 | Fundamentals of Genetics | 3 |
| PHYS 10320 | Engineering Physics II: Electromagnetism | 4 |
| Biology/Chemistry/Physics Elective | 3 | |
| University Requirement | 3 | |
| Elective | 3 | |
| Hours | 16 | |
| Senior Year | ||
| First Semester | ||
| ACMS 40390 | Numerical Analysis | 3 |
| ACMS 40730 |
Mathematical/Comp Modeling or Mathematical and Computational Modeling in Neuroscience or Introduction to Stochastic Modeling |
3 |
| Biology Elective | 3 | |
| ACMS Elective | 3 | |
| Elective | 3 | |
| Hours | 15 | |
| Second Semester | ||
| ACMS Elective | 3 | |
| ACMS Elective | 3 | |
| Electives | 6 | |
| Moreau Senior Capstone | 1 | |
| Hours | 13 | |
| Total Hours | 130 | |
Concentration in Scientific Computing
The concentration in scientific computing will prepare students for further study or employment in computational engineering, computational mathematics, and computer science. The required courses for this concentration are as follows:
- 3 credits from Second Course in Scientific Computing (ACMS 40210 Scientific Programming or ACMS 40212 Advanced Scientific Computing)
- 6 credits arising from additional electives chosen from either Second Course in Scientific Computing, Foundational Methods, Computing and Modeling, or Additional Electives lists found here: https://acms.nd.edu/undergraduate/degrees/concentration-in-scientific-computing/
ACMS/Scientific Computing Sample Curriculum:
| First Year | ||
|---|---|---|
| First Semester | Hours | |
| ACMS 10550 | Applied Calculus I | 4 |
| CHEM 10171 & CHEM 11171 |
Introduction to Chemical Principles and Introduction to Chemical Principles Laboratory |
4 |
| PHYS 10310 | Engineering Physics I: Mechanics | 4 |
| History or Social Science | 3 | |
| WR 13x00. Writing | 3 | |
| FYS 10101 | Moreau First-Year Seminar | 1 |
| Hours | 19 | |
| Second Semester | ||
| ACMS 10560 | Applied Calculus II | 4 |
| CHEM 10172 & CHEM 11172 or CHEM 10122 |
Organic Structure and Reactivity or General Chemistry: Fundamental Principles and Biological Processes |
4 |
| PHYS 10320 | Engineering Physics II: Electromagnetism | 4 |
| Philosophy or Theology | 3 | |
| University Seminar | 3 | |
| Hours | 18 | |
| Second Year | ||
| First Semester | ||
| ACMS 20550 | Introduction to Applied Mathematics Methods I | 3.5 |
| ACMS 20620 or ACMS 20220 |
Applied Linear Algebra or Scientific Computing with Python |
3-3.5 |
| Langauge | 3 | |
| Philosophy or Theology | 3 | |
| Elective | 3 | |
| Hours | 15.5-16 | |
| Second Semester | ||
| ACMS 20750 | Introduction to Applied Mathematical Methods II | 3.5 |
| ACMS 20620 or ACMS 20220 |
Applied Linear Algebra or Scientific Computing with Python |
3-3.5 |
| ACMS 30530 | Introduction to Probability | 3 |
| Language | 3 | |
| Philosophy or Theology | 3 | |
| Hours | 15.5-16 | |
| Third Year | ||
| First Semester | ||
| ACMS 30600 | Statistical Methods & Data Analysis I | 3.5 |
| ACMS 40390 |
Numerical Analysis * or Mathematical/Comp Modeling or Introduction to Stochastic Modeling |
3 |
| Language | 3 | |
| Philosophy or Theology | 3 | |
| Elective | 3 | |
| Hours | 15.5 | |
| Second Semester | ||
| ACMS Elective | 3 | |
| ACMS 40390 |
Numerical Analysis * or Mathematical/Comp Modeling or Mathematical and Computational Modeling in Neuroscience |
3 |
| Literature or Fine Arts | 3 | |
| Science Elective | 3 | |
| ACMS 40210 | Scientific Programming (SC Concentration) | 3 |
| Hours | 15 | |
| Senior Year | ||
| First Semester | ||
| ACMS Elective | 3 | |
| SC Concentration (Foundational Methods) | 3 | |
| Electives | 9 | |
| Hours | 15 | |
| Second Semester | ||
| ACMS Elective | 3 | |
| Electives | 6 | |
| Moreau Senior Capstone | 1 | |
| SC Concentration (Elective) | 3 | |
| Hours | 13 | |
| Total Hours | 126.5-127.5 | |
- *
One of the ACMS 40730, 40740, 40760 will satisfy the modeling course requirement. If two or more courses are taken, the other can be counted as ACMS elective. At least one of the three courses will be offered each semester.
Honors in ACMS
Junior majors in ACMS may apply for the departmental honors program to receive the designation “Honors in Applied and Computational Mathematics and Statistics”.
Here are the requirements:
- A minimum of Cum GPA of 3.5.
- Complete a minimum of two semesters in Undergraduate Research (ACMS 48498) during the junior or senior year, potentially including a summer semester.
- Complete an Undergraduate Thesis (ACMS 48500).
- Presentation of the thesis in a seminar or a conference, on campus or outside campus.
Before the end of the junior year, students interested in the Honors option must apply to the director for undergraduate studies, who will make suggestions to students for an appropriate advisor. The subject matter should be in an area of expertise of at least one member of the department. The student will work with the advisor to complete a thesis, which must be signed off by the advisor and then submitted to the Director of Undergraduate Studies by April 15 of the senior year. If approved, the student will receive credit for Undergraduate Thesis (ACMS 48500).
The undergraduate thesis must go beyond what is found in an undergraduate course, and present a novel approach to a subject.