Teenlife
    Link

    Register for our FREE Summer Opportunities Virtual Fair

    Penn Arts & Sciences: Mathematic Academy

    Details

    • Listing Type: Summer Programs
    • Program Delivery: Residential
    • Provided By: College
    • Session Start: July
    • Session Length: Three Weeks
    • Entering Grade: 10th, 11th, 12th
    • Category: STEM
    • Sub-Categories: STEM, Mathematics
    • Selective: No
    • Minimum Cost: > $7,000+
    • Career Clusters: Science, Technology, Engineering, and Mathematics
    • Credit Awarded: No
    • Facebook
    • Instagram
    • X
    Write a Review

    Overview

    The Mathematics Academy is a unique opportunity for students interested in examining mathematical concepts rarely offered at the high school level. The Mathematics Academy is fully residential with no commuter or online options. This rigorous, proof-oriented program will fuse lectures, problem sessions, demonstrations, and exploratory research to engage students.

    Topics

    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 topologyKnot theory