Mathematics

The Bachelor of Science in Mathematics at the University of Iowa offers students a comprehensive and rigorous education in the fundamental principles and advanced concepts of mathematics. Designed for those interested in developing strong analytical, problem-solving, and quantitative skills, this program prepares graduates for diverse careers in academia, industry, government, and beyond. Students will engage with a broad curriculum that covers core areas such as calculus, linear algebra, differential equations, probability, and statistics, along with specialized courses in pure and applied mathematics. The program emphasizes critical thinking, logical reasoning, and mathematical creativity, equipping students to tackle complex real-world problems with confidence and precision.

Throughout their studies, students have access to experienced faculty who are active researchers and committed educators, fostering an environment of academic excellence and innovation. The curriculum is complemented by opportunities for research, internships, and collaborative projects that enhance practical skills and professional development. The department also provides resources such as seminars, workshops, and tutoring to support student success. The program’s flexible structure allows students to tailor their coursework to align with their interests and career goals, whether in mathematics education, data science, cryptography, actuarial science, or scientific research.

Graduates of the Mathematics program at the University of Iowa are well-prepared for graduate studies or entry into competitive job markets. They possess strong quantitative competencies, logical reasoning abilities, and a solid foundation in theoretical and applied mathematics. The program also encourages the development of effective communication skills, teamwork, and ethical reasoning, vital for leadership roles in various fields. With a distinguished faculty, state-of-the-art facilities, and a vibrant academic community, the University of Iowa provides an ideal environment for aspiring mathematicians to thrive and make meaningful contributions to society.

Program I

Program I prepares students for further study of pure and applied mathematics and for employment in government and business. M.S. students in program I take several courses and pass two comprehensive examinations. Students must earn a grade of B-minus or higher in six of the courses and maintain a g.p.a. of at least 2.75 in all mathematics courses taken for the degree.

Program I requires the following courses.

• Abstract Algebra I-II
• Introduction to Analysis I-II
• General Topology
• Introduction to Smooth Manifolds
• Nonlinear Dynamics with Numerical Methods
• Partial Differential Equations with Numerical Methods

The two comprehensive examinations are chosen from algebra, analysis, differential equations with numerical methods, and topology.

Program II

Program II is designed for secondary school teachers. Program II requirements are similar to those for programs I and III, but program II students complete two mathematics education courses and a minimum of 24 s.h. in Department of Mathematics courses. The following courses may be used to satisfy the program II mathematics course requirements.

• Introduction to Ordinary Differential Equations
• Mathematics courses (prefix MATH) numbered 4000 or above

Students are encouraged to consult with the mathematics education faculty when planning their course of study.

Program III

Program III focuses on applied mathematics. Students in program III take several courses and pass two comprehensive examinations. Students must earn a grade of B-minus or higher in six of the courses and maintain a g.p.a. of at least 2.75 in all mathematics courses taken for the M.S.

Program III requires the following courses.

• Introduction to Analysis I-II
• Nonlinear Dynamics with Numerical Methods
• Partial Differential Equations with Numerical Methods
• Numerical Analysis: Nonlinear Equations and Approximation Theory
• Numerical Analysis: Differential Equations and Linear Algebra

Both courses in group A, or two courses from group B:

Group A

• General Topology
• Introduction to Smooth Manifolds

Group B

• Discrete Mathematical Models
• Continuous Mathematical Models
• Optimization Techniques

The two comprehensive examinations are chosen from analysis, differential equations with numerical methods, numerical analysis, and topology.

Program IV

Program IV is designed for nondepartmental students working toward a Ph.D. in areas of study that require mathematical knowledge. The program has no specific required courses.

Students in program IV are considered to have passed the comprehensive examination for the master's degree in mathematics if they have maintained a g.p.a. of at least 3.00 in all mathematics courses taken for the M.S. in mathematics and have successfully completed the Ph.D. comprehensive examination in their area of study.

Students in program IV are assigned a mathematics advisor, who works with them and their major advisor to plan an appropriate curriculum for the M.S. in mathematics. A suitable program of study should be approved by a mathematics advisor before the student takes the Ph.D. comprehensive examination, and a member of the mathematics faculty should serve on the Ph.D. comprehensive examination committee.

Requirements

• Applicants must have completed work in an undergraduate program equivalent to the major in mathematics offered by the University of Iowa Department of Mathematics, with an undergraduate g.p.a. of at least 3.20. Relevance and difficulty of courses are considered when evaluating grades; grades of C or lower in mathematics courses must be balanced by grades of A. Individuals whose preparation does not meet this requirement may be admitted conditionally and are asked to take specific courses that cover deficiencies.
• You must first submit the online application to the Graduate College and pay the $60 application fee by credit card ($100 for international applicants).
• A statement of purpose
• Three letters of recommendation
• A set of your unofficial academic records/transcripts uploaded on your Admissions Profile. If you are admitted, official transcripts will be required before your enrollment.
• Applicants must score at least 155 on the quantitative section of the revised Graduate Record Examination (GRE) General Test (700 on the old GRE). Applicants whose first language is not English are required to demonstrate their competence in English, normally by scoring at least 105 (Internet-based) on the Test of English as a Foreign Language (TOEFL).

The University of Iowa offers a comprehensive range of financing options for students enrolled in its Mathematics degree programs. Prospective and current students have access to various scholarships, grants, and financial aid packages designed to support their academic pursuits and reduce financial barriers. Scholarships are awarded based on academic achievement, leadership qualities, and other accomplishments, with many available specifically for undergraduate and graduate mathematics students. These scholarships may be renewable annually, contingent upon maintaining a certain academic standing.

In addition to institutional scholarships, students are encouraged to explore federal and state financial aid opportunities, including Pell Grants, federal work-study programs, and loan options. The Free Application for Federal Student Aid (FAFSA) form is essential for eligibility assessment for many of these programs and should be submitted early to maximize available resources. The university also offers departmental assistantships and research assistant positions, especially for graduate students, which provide stipends and tuition waivers in exchange for teaching or research responsibilities.

Students are advised to meet with the university’s financial aid counselors to develop personalized financing plans that align with their educational goals. The university's financial aid office provides detailed guidance on application procedures, deadlines, and eligibility criteria. Moreover, students enrolled in the Mathematics program can benefit from external scholarship opportunities provided by professional organizations such as the American Mathematical Society and other philanthropic foundations.

Payment plans are available to help students manage tuition payments through semester-based installments. The university also offers emergency financial assistance programs for students facing unexpected financial hardships. Overall, the University of Iowa is committed to making mathematics education accessible through a variety of financing options and dedicated support services, ensuring students can complete their degrees with minimal financial stress.

The Bachelor of Science in Mathematics at the University of Iowa provides a comprehensive curriculum designed to develop students’ analytical and problem-solving skills, preparing them for diverse careers in academia, industry, and government. The program emphasizes a solid foundation in pure and applied mathematics, including courses in calculus, linear algebra, differential equations, real analysis, and abstract algebra. Students also have opportunities to explore specialized areas such as combinatorics, topology, number theory, and mathematical modeling. The curriculum encourages critical thinking and logical reasoning, equipping graduates with quantitative skills essential for further study or professional pursuits.

In addition to core coursework, students can participate in research projects, internships, and collaborative initiatives that enhance their practical understanding of mathematical concepts. The university offers access to advanced computational tools and software, facilitating experiential learning and real-world problem-solving. The department supports students through advising, seminars, and mathematics clubs, fostering a vibrant academic community. Graduates of the program often pursue graduate studies in mathematics, statistics, data science, or related fields, while others enter careers in finance, technology, education, or consulting.

The program is designed with flexibility, allowing students to tailor their education with elective courses aligned with their interests and career goals. The faculty comprises experienced mathematicians committed to high-quality teaching and research, providing mentorship and guidance throughout students' academic journeys. With a balance of theoretical foundations and practical applications, the Bachelor of Science in Mathematics at the University of Iowa prepares students for lifelong learning and success in dynamic fields.