MTH-302 |
Differential Equations |
An introduction to ordinary differential equations and their use in modeling continuous change in the real-world . Topics include both analytical and graphical methods of solving DEs , systems of ordinary differential equations , and important applications like exponential / logistic growth , harmonic oscillators , and predator / prey systems . |
MTH-303 |
College Geometry and Related Topics |
A study of geometry , including euclidean and non-euclidean geometries , axiomatic systems , transformations and isometries , and symmetry . There is a focus on exploration , conjecture , and basic geometric arguments ( proofs ). |
MTH-304 |
Number Theory |
An introduction to the theory and properties of
3.00
|
Take MT |
integers . Topics include prime numbers , divisibility and factorization , modular arithmetic , the Euclidean algorithm , linear Diophantine equations , congruencies , the Chinese remainder theorem , and applications in cryptography . |
( Require |
MTH-305 |
Sets , Relations and Functions |
An introduction to the basic techniques of creating mathematical arguments ( proofs ). Application of proof writing techniques and an in-depth study of fundamental concepts and principles that are used throughout mathematics : logic , sets , relations , functions , and infinity through topics such as Cartesian product , partitions , equivalence relations , mathematical induction , set indexing , special functions and transfinite numbers . |