Mathematics Academy

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July 1 – July 21, 2018

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The Mathematics Academy is a unique opportunity for students interested in examining mathematical concepts rarely offered at the high school level. This rigorous, proof-oriented program will fuse lectures, problem sessions, demonstrations, and exploratory research to engage students in topics such as:

Discrete Mathematics
  • Combinatorics (enumerative, algebraic and geometric)
  • Generating functions and partitions
  • Graph theory
  • Probability
  • Combinational game theory
Algebra and Number Theory
  • Linear algebra
  • Prime and factorization algorithms
  • Congruencies and quadratic reciprocity
  • Galois theory
  • Geometry of numbers
Geometry and Topology
  • Euclidean and non-Euclidean geometries
  • Geometric transformations
  • Algebraic geometry
  • Point-set topology
  • Knot theory

If you attend a School District of Philadelphia public or charter high school, you may be eligible to attend a Penn Summer Academy free of charge with a Penn Summer Scholarship.

Get application information >



Relevant field trips, including visits to the National Math Museum in New York City, and the National Cryptologic Museum, may also be included.

See this program’s 2016 syllabus (PDF).

Prerequisite: One year of high school Algebra II/Trigonometry is required for application.

Penn Summer High School

tuition and fees


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Penn Summer

3440 Market Street, Suite 100
Philadelphia, PA 19104-3335

(215) 898-7326

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