MasterScholar North Carolina Math Camp Recently Updated

The MasterScholar North Carolina Math Camp (NCMC), a two-week summer academic program taught by faculty from Duke University, presents a valuable opportunity for high school students to delve deeper into the study of advanced mathematics. As a world-class math camp, recommended by MIT as an alternative to the renowned PRIMES program, NCMC offers teaching resources from a top-tier university and focuses on nurturing students' independent research and teamwork skills.

The North Carolina Math Camp emphasizes the development of students' critical thinking abilities through interactive, project-based learning. Professors and teaching assistants from Duke University guide students to approach challenging, complex mathematical problems through a carefully designed curriculum. In addition, every student completes a research paper based on a topic chosen from their courses.

Students who complete the program are awarded a certificate of completion and a project evaluation letter signed by a Duke University professor. These outcomes serve as competitive differentiating credentials for students to include in their future college applications.

The North Carolina Math Camp is highly selective. Applicants are expected to have a strong background in high school-level math and a passion for exploring higher-level mathematics.

Program Highlights:

• Highly selective program, geared towards students seeking advanced studies in mathematics
• Designed and taught by professors from the Duke University Department of Mathematics
• Camp counselors are Duke undergraduate math majors and graduate students
• Curriculum focused on project-based learning, independent research, and critical thinking
• Opportunity to connect with other high-achieving students from around the world
• Includes fun, engaging extracurricular activities to help students build relationships
• Competitive outcomes for the college admissions process: research paper, program completion certificate, and project evaluation letter

Program Outcomes:

• Certificate of Completion
• Mathematical Research Paper
• Program Evaluation Letter from NCMC Faculty

Session 1: Survey of Mathematics (July 6th - 19th, 2025)
(Knowledge of calculus is recommended, but not required.)

Themes:

1. From Number Theory and Special Relativity to Game Theory
2. Applications to Economics

Subjects Covered:

Number Theory - Group Theory - RSA Encryption - Game Theory - Estimating Pi - Complex Numbers - Quaternions - Topology of Surfaces - Introduction to Differential Geometry - Collective Decision Making - Survey of Calculus - Applications to Economics - Statistics and the Central Limit Theorem - Special Relativity

Session 2: Survey of Advanced Mathematics (July 20th - August 2nd, 2025)
(Knowledge of calculus is required. Knowledge of multivariable calculus is recommended, but not required.)

Themes:

1. From the Generalized Stokes Theorem to Ordinary Differential Equations
2. Partial Differential Equations, Including an Introduction to General Relativity

Subjects Covered:

Survey of Multivariable Calculus - Advanced Applications to Economics - Differential Forms - Fourier series - Ordinary Differential Equations - Partial Differential Equations - Complex Analysis - Fractals - Discussion of Lie Groups - Introduction to Geometric Analysis - Calibrations and the Simons Cone - Geometric Flows - Introduction to General Relativity

Program Dates: 
Session 1 - Survey of Mathematics: July 6th - 19th, 2025
Session 2 - Survey of Advanced Mathematics: July 20th - August 2nd, 2025

Program Fees: $6,500

Program Fees Cover: Tuition, course materials, field trip costs, and housing and meals at Saint Mary's School

Program Fees Do Not Cover: transportation to/from Saint Mary's School for the start and end of the program, laptops, international student travel health insurance (required for international students), and airport pick-up/drop-off (optional for all students)