MTH-245 |
Calculus I |
A study of the mathematics of continuous change. Topics include rates of |
4.00 |
change( differentiation) and accumulation( basic integration), with an emphasis on applications. Related rates, optimization, and graphical analysis are covered. Transcendental functions are included. |
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MTH-245R |
Calculus I Recitation |
4.00 |
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MTH-246 |
Calculus II |
A continuation of MTH 245. Topics include advanced integration techniques, |
4.00 |
limits and I ' Hopital ' s Rule, improper integration, infinite sequences and series, parametric equations, and some complex number theory. |
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MTH-261 |
Programming for Mathematics |
An introduction to computer programming and algorithm development, with a specific focus on mathematical applications. Students will create programs using Python to solve computationally difficult problems and to analyze mathematical models of real-world phenomena through simulation. |
3.00 |
MTH-299 |
Selected Topics in Mathematics |
A study of a specialized subject area, which may vary, based on |
student / faculty interest. For non-major students only. The topic, course |
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structure, and instructor will be announced prior to pre-registration. |
MTH-301 |
Multivariable Calculus |
A continuation of MTH 246. Topics include vectors in three-dimensional |
space, vector-valued functions, partial derivatives, multiple integrals, and |
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vector analysis. |
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-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 |
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fundamental concepts and principles that are used throughout mathematics: |
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logic, sets, relations, functions, and infinity through topics such as Cartesian |
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product, partitions, equivalence relations, mathematical induction, set |
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indexing, special functions and transfinite numbers. |