Mathematics

Mathematics is one of the oldest academic subjects. Ideas relating to number and magnitude date back to pre-historic times, and all the major ancient civilizations have left a legacy that still can be seen in the modern study of mathematics.

Modern mathematics can be broadly divided into two main types, pure mathematics and applied mathematics. Pure mathematics considers abstract questions that may or may not be related to the world we live in, and seeks to find precise answers in the form of proofs or counterexamples. Because of the precision required, it is wise to start with a grounding in deductive logic, and gradually building on that to form a precise understanding of what we mean by common ideas such as set, number and function.

Applied mathematics has a different emphasis. Instead of being concerned with precise proofs, applied mathematicians use ideas from mathematics to shed insight on real world phenomena ranging from economics, to biology to physics.

The Course

Overview

Time for completion: 3-4 years full-time, assuming satisfactory prerequisites. 6-8 years part-time.

Prerequisites

All students of EDeeU Education should have an educational background commensurate with completion of our Foundational Studies program.

Core Curriculum

Pure Mathematics

  • Logic for mathematicians

  • Real analysis

  • Group theory and linear algebra

  • Elementary number theory

  • Elementary geometry

  • Point-set topology

Applied Mathematics

  • Multivariate calculus

  • Elementary probability

  • Calculus of Variations

  • Introductory Statistics

  • Complexity and Cryptography

  • Special Relativity and Elementary Quantum Theory

  • Scientific Programming

Specializations

Specializations should be discussed with your Director of Studies. The following provide a brief list of directions one could take:

  • Galois Theory

  • Functional Analysis

  • Combinatorics

  • Differential and Riemannian Geometry

  • Advanced Mathematical Physics

  • Stochastic Analysis

  • Mathematical Biology