Undergraduate Catalog 2023-2024 | Page 293

MTH-302
Differential Equations
An introduction to ordinary differential equations and their use in modeling continuous change in the realworld . 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 noneuclidean 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 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 .
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 .
3.00
Take MTH-235 MTH-246 . ( Required , Previous ).
3.00
Take MTH-235 MTH-245 . ( Required , Previous ).
3.00
Take MTH-231 MTH-246 . ( Required , Previous ).
3.00
Take MTH-231 MTH-246 . ( Required , Previous ).
MTH-307
Real Analysis I
An in-depth analysis of properties of the real number line , higher-dimensional Euclidean spaces and general metric spaces . Limits , sequences and series are studied . The basic theory of functions of a real variable is considered , including continuity , derivatives and integrals .
MTH-4000 Mathematics Seminar - Capstone
Research on topics related to the student ' s study of mathematics or its related fields . Several projects / papers must be developed and presented . Permission of instructor required .
3.00 Take MTH-305 MTH-246 . ( Required , Previous ).
3.00