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¸£Àû±ÆÕ¾ Catalog 2025-2026

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MA 515 Analysis I

²Ñ´¡Ìý515ÌýÌýAnalysis IÌýÌý(3 credit hours)ÌýÌý

Metric spaces: contraction mapping principle, Tietze extension theorem, Ascoli-Arzela lemma, Baire category theorem, Stone-Weierstrass theorem, LP spaces. Banach spaces: linear operators, Hahn-Banach theorem, open mapping and closed graph theorems. Hilbert spaces: projection theorem, Riesz representation theorem, Lax-Milgram theorem, complete orthonormal sets.

Prerequisite: ²Ñ´¡Ìý426

Typically offered in Fall only

Applied Mathematics (BS): Financial Mathematics Concentration

/undergraduate/sciences/mathematics/applied-mathematics-bs-financial-mathematics-concentration/

The B.S in Applied Mathematics with a Financial Mathematics Concentration is a refinement of the B.S in Applied Mathematics degree . This program prepares students for careers in financial mathematics, actuarial science and portfolio management.

Applied Mathematics (BS)

/undergraduate/sciences/mathematics/applied-mathematics-bs/

The B.S. program in Applied Mathematics shares many basic features with the B.S. program in Mathematics. The primary difference is that this program includes a strong interdisciplinary concentration in a related field. The applied concentration, which must be approved by a student’s adviser, should be structured to promote specific career or educational objectives.

Mathematics (BS)

/undergraduate/sciences/mathematics/mathematics-bs/

The bachelor of science in mathematics is our most flexible curriculum. The mathematics and science requirements in the program along with the General Education Program in the humanities and social sciences ensure that graduates receive a broad education with a technical slant. At the same time, the large number of elective choices within the program makes it an appropriate curriculum for students with a variety of interests and career goals. Students can easily pair out a mathematics degree with another major (e.g. Statistics, Physics, Engineering, Math Educations, Economics, etc).

Mathematics (Minor)

/undergraduate/sciences/mathematics/mathematics-minor/

The Department of Mathematics offers a minor in Mathematics to majors in any field except Mathematics. The minor program consists of the completion with a grade of C- or better of any fifteen hours selected from the Mathematics Department's list of approved courses. The list includes all MA courses at the 300, 400, and 500 levels; however, MA 225 is acceptable but not required.

Department of Mathematics

/undergraduate/sciences/mathematics/

Our department is committed to mentoring and to creating a supportive environment that helps all students succeed in math.

Economics (BS): Business Analytics Concentration

/undergraduate/management/economics/economics-bs-business-analytics-concentration/

...sequences: MA 131 and MA 231 or MA...Raleigh, NC 27695 919.515.5565 Website Denis...

Economics (BS): Finance Concentration

/undergraduate/management/economics/economics-bs-finance-concentration/

...sequences: MA 131 and MA 231 or MA...Raleigh, NC 27695 919.515.5565 Website Denis...

Chemistry (BA)

/undergraduate/sciences/chemistry/chemistry-ba/

...111, MA 100, MA 101, MA 103, MA...of Undergraduate Programs 919.515.6322 kdaykin@ncsu...

Economics (BA): Finance Concentration

/undergraduate/management/economics/economics-ba-finance-concentration/

...better. 2 MA 131 or MA 141 are...Raleigh, NC 27695 919.515.5565 Website Denis...

Economics (BS)

/undergraduate/management/economics/economics-bs/

...sequences: MA 131 and MA 231 or MA...Raleigh, NC 27695 919.515.5565 Website Denis...

Computer Programming (Minor)

/undergraduate/engineering/computer-science/computer-programming-minor/

...I [ MA 121 , MA 131 , or MA 141...II, 1204-C 919.515.7920 tamarini@ncsu...

Accounting (BS)

/undergraduate/management/accounting/accounting-bs/

...required. 2 MA 131 or MA 141 are...NC 27695 Phone: (919) 515-4443 https://poole...

Plant Biology (BS)

/undergraduate/agriculture-life-sciences/plant-microbial-biology/plant-biology-bs/

...of MA 121 Elements of Calculus , MA 131...27695-7612 Phone : 919.515.2222 Email: chad_jordan...

Mathematics Education (BS) and Mathematics (BS) (Double Major)

/undergraduate/education/stem/mathematics-education-bs-mathematics-bs-double-major/

...Main Campus Drive 919.515.1754 cpedging@ncsu...is ST 370 with MA 421. Alternatives include...

Environmental First Year Program

/undergraduate/natural-resources/environmental-first-year-program/

...placement results (MA 131 or MA 141) are...Carolina 27695-8008 919-515-6191 cnr_academicaffairs@ncsu...

Economics (BA)

/undergraduate/management/economics/economics-ba/

...Raleigh, NC 27695 919.515.5565 Website Denis...requirement is met), or MA 101, 101, 103...

Department of Performing Arts & Technology

/undergraduate/university-college/music/

...27695-7311 Phone: 919.515.2981 Fax: 919...Technology Coordinator Christa Oliver, MA, PDDS , Associate Teaching...

Animal Science (BS): Industry Concentration

/undergraduate/agriculture-life-sciences/animal-science/animal-science-bs-industry-concentration/

...NC 27695-7621 919.515.2755 tsee@ncsu...Introduction to Animal Science , MA 107 Precalculus I...

Animal Science (BS): Science Concentration

/undergraduate/agriculture-life-sciences/animal-science/animal-science-bs-science-concentration/

...NC 27695-7621 919.515.2755 tsee@ncsu...Introduction to Animal Science , MA 107 Precalculus I...

Business Administration (BS): Finance Concentration

/undergraduate/management/business/business-administration-bs-finance-concentration/

...Raleigh, NC 27695 919.515.5565 Website Jonathan...requirement is met), or MA 101, 103, 105...

Business Administration (BS): Marketing Concentration

/undergraduate/management/business/business-administration-bs-marketing-concentration/

...Raleigh, NC 27695 919.515.5565 Website Jonathan...requirement is met), or MA 101, 103, 105...