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Math Courses at Case Western Reserve University

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Ally Zukowski

Located in Cleveland OH, many students attend this university with future career goals in their mind. Alumni, such as Craig Newmark founder of Craigslist, have used their knowledge from Case into their life's work. Many courses are offered depending on the students' degree requirements and overall interests. Specific courses, such as mathematics courses, have a variety of topics to choose from. Here are a list of 10 math courses students can enroll in to earn course credit towards their degrees.

1. MATH 124: Calculus II

Yellow marker highlighting a line on a graph.

This course is 3 credits taught by Professor Vincent Graziano. He reviews the applications of differentiation and introduces multivariable calculus. Topics include integration and applications of the definite integral, parametric equations, and polar coordinates. Prerequisites include MATH 123 and placement by the department.

2. MATH 150: Mathematics from a Mathematician’s Perspective

A perspective drawing with pink, yellow, and grey colors.

This is a 3 credit course. The course is an introduction to the way mathematicians work and their attitude toward their profession. Topics include methods of mathematical reasoning and historical progression of mathematical concepts. Prerequisites include three and one half years of high school mathematics. This course is recommended for freshmen to count toward a major in mathematics.

3. MATH 303: Elementary Number Theory

Colorful numbers in neon in different directions with a black background.

David Singer teaches students primes and divisibility, theory of congruencies, and number theoretic functions. There is also emphasis on diophantine equations, quadratic residue theory, and other topics determined by student interest. The prerequisite for this course is MATH 122. This is a 3 credit course.

4. MATH 304: Discrete Mathematics

Multiple small pyramid pieces with white numbers on each side in a big pile.

This 3 credit course is an introduction to basic mathematical terminology and the techniques of abstract mathematics in the context of discrete mathematics. Topics includue mathematical reasoning, Boolean connectives, deduction, mathematical induction, sets, functions and relations, algorithms, graphs, and combinatorial reasoning. Prerequisites for the course is either MATH 122 or MATH 126.

5. MATH 305: Introduction to Advanced Mathematics

A blackboard background with yellow mathematic symbols written across the board.

Professor Mark Meckes teaches this course on the theory and practice of writing, and reading mathematics. Topics include logic and the language of mathematics, proof techniques, set theory, and functions. There is also emphasis on number theory, group theory, and topology. Prerequisites for the 3 credit course include MATH 122 or MATH 124 or MATH 126.

6. MATH 308: Introduction to Abstract Algebra

An algebra equation in brackets.

This course introduces major algebraic structures studied: groups, rings and fields. Topics include homomorphisms and quotient structures. It is highly recommended that students take MATH 307 before MATH 308. The is course is 3 credits and taught by Professor David Singer.

7. MATH 326: Geometry and Complex Analysis

Various tools used for geometry spread out in front of a purple background.

This is a 3 credit course. This course is an introduction to an interplay between geometry and complex analysis, algebra and other fields of mathematics. Topics include the Mobius group and its subgroups, hyperbolic geometry, elliptic functions, Riemann surfaces, applications of conformal mapping, and potential theory in classical physical models. Prerequisites for this course is MATH 324.null

8. MATH 327: Convexity and Optimization

A convos optimization example problem with a color graph in a dome like appearance.

This 3 credit course is an introduction to the theory of convex sets and functions and to the extremes in problems in areas of mathematics where convexity plays a role. Topics include basic properties of convex sets, separation theorems, duality, and polars. There will be emphasis on the properties of convex functions, minima and maxima of convex functions over convex set, and various optimization problems. Prerequisites for students include MATH 223 or consent.

9. MATH 333: Mathematics and Brain

A brain that appears to be in a lightbulb formation with mathematical formulas and variables inside.

This 3 credit course is an introduction to a variety of mathematical techniques needed to model and simulate different brain functions, and to analyze the results of the simulations and of available measured data. Topics include differential equations, electromagnetism, Inverse problems and Imaging related to brain functions. Prerequisites include MATH 224 or MATH 228.

10. MATH 363. Knot Theory

Different steps to create multiple knots.

Joel Langer introduces students to the mathematical theory of knots and links, with emphasis on the modern combinatorial methods. Topics include ambient and regular isotopies, linking number tricolorability, rational tangles, braids, torus knots, seifert surfaces and genus, and the knot polynomials. Prerequisites for the course is MATH 223. This course is 3 credits.

Many math courses along with these ten courses are enrolled each semester by students needing their mathematics credit. Many students graduates with a well rounded curriculum from Case and grow to be very successful in society. Many more students will become notable alumni, just like Craig Newmark and use the knowledge they gained from the university. With all that success, they will always remember their Alma Mater!

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