Intensive calculus problem-solving workshop with topics drawn from MATH 1310. Prerequisite: Instructor permission; corequisite: MATH 1310.

Intensive calculus problem-solving workshop with topics drawn from MATH 1310. Prerequisite: Instructor permission; corequisite: MATH 1310.

Intensive calculus problem-solving workshop with topics drawn from MATH 1320. Prerequisite: Instructor permission; corequisite: MATH 1320.

This course provides the opportunity to offer a new topic in the subject of mathematics.

A continuation of Calculus I and II, this course is about functions of several variables. Topics include finding maxima and minima of functions of several variables, surfaces and curves in three-dimensional space and integration over these surfaces and curves. Additional topics include conservative vector fields and Stokes’ and the divergence theorems as well as how these concepts relate to real world applications.

Prerequisite: MATH 1320 or the equivalent.

Covers the material from MATH 2310 (Multivariable Calculus) plus topics from complex numbers, set theory, and linear algebra. Prepares students for taking advanced mathematics courses at an early stage. Success in this course and MATH 3315 (grades of B- or higher) exempts the student from the math major requirement of taking MATH 3351 and MATH 3250.

Prerequisite: MATH 1320 or the equivalent.

This course provides the opportunity to offer a new topic in the subject of mathematics.

Examines assumptions and methods in the original text of Euclid's Elements. Covers selected geometric topics such as symmetries, spherical geometry, curvature, the dissection theory of area, constructible numbers, and the discovery of non-Euclidean geometry.

Prerequisite: Some familiarity with calculus.

Covers basic concepts with an emphasis on writing mathematical proofs. Topics include logic, sets, functions and relations, equivalence relations and partitions, induction, and cardinality. Prerequisite: Math 1320.

Introduces the fundamental concepts and techniques of probability, the theory of randomness. Focuses on problem solving and understanding key theoretical ideas. Topics include sample spaces, combinatorial analysis, discrete and continuous random variables, classical distributions, expectation, Chebyshev’s inequality, independence, central limit theorem, conditional probability, and generating functions.

Prerequisite: MATH 1320. A knowledge of double integrals is recommended.