Topics include the topology of the real line, sequences of numbers, continuous functions, differentiable functions, and the Riemann integral. Note: Students may not receive credit for both MATH 3001 ...

Properties of the real numbers, infimum and supremum of sets. Numerical sequences and series. Limits of functions, continuous functions, intermediate value theorem, uniform continuity. Differentiation ...

Implementations of the following numerical integration techniques are given below: Left-hand Riemann sum, Right-hand Riemann sum, Midpoint Rule, Trapezoid Rule, and Simpson's Rule. Modify and evaluate ...

It explores how integrals may be calculated or transformed by a variety of manipulations, and how they may be applied to the solution of differential equations. This aim is achieved by studying the ...

One of the most significant of these questions is the Riemann hypothesis. At its core, the Riemann hypothesis seeks to find and study the pattern and distribution of prime numbers as they get larger ...