# Denver Campus Masters in Mathematics Programs

**Masters in Math Schools** could help students refine their ability to problem solve and reason. Students might study to gain a solid, theoretical grasp of the field on mathematics in tandem with in-depth knowledge of an area of interest. Algebra, number theory, discrete math, pathology and probability are a few examples.

## Masters in Math Schools: Pure vs Applied Math

Students interested in Masters in Math Schools might favor pure mathematics or applied mathematics, which are intertwined, yet distinct. Curriculums could be weighted more heavily in pure mathematics, applied mathematics, or be a blend of the two.

See below for some suggested core topics, then review individual programs.

- Topology
- Complex Variables
- Advanced Calculus I, II
- Vector Spaces
- Regression Analysis
- Mathematical Statistics

Most Masters in Mathematics programs take about two years for a full-time student to complete. While a variable, students might need to take between 33 and 36 credits of coursework.

Some universities may encourage students to reach beyond the math department to take their electives. Others may have a list of approved math electives that could include courses such as knot theory, mathematical proofs and technology in mathematics.

Aside from coursework, math grad students may need to complete a thesis, which is usually a written paper where they present original ideas and solutions to a specific mathematical problem.

The proposal for the thesis work and the results are generally presented and defended before an advisory committee. Students who want to continue their studies with a PhD in Math might choose to complete a thesis.

**What is Pure Mathematics?**

In simple terms, pure math is theoretical. Students may learn how to choose an appropriate mathematical model or intervention of a real-world phenomenon. Also, study the ways to apply

mathematical reason to derive testable consequences from this model.

**What is Applied Mathematics?**

Applied mathematics takes concepts from fundamental mathematics and uses them to solve problems in science, math, management, business, technology and other fields. Students could therefore learn to find computable solutions that could be implemented.

### Application Information for Masters in Math Schools

There are Masters in Math Schools that do require students to have a completed Bachelors degree in mathematics or a related area, and programs where this is not specified. Although prospective grad students in mathematics need not always have an undergraduate mathematics major, they often must have completed some college courses.

Specifics for Masters in Math schools vary however those that do require a strong math background might expect applicants to know advanced calculus, algebra, differential equations, and differential or projective geometry. Some programs might also require students to have a functional grasp of a computer programming language.

Other potential requirements could include GRE Scores, letters of recommendation, transcripts and TOEFL scores (as applicable).

## Types of Masters in Mathematics

Masters in Math Schools may offer programs that lead to a Master of Arts (MA) or Master of Science (MS) degree. These math degrees may each have specific requirements both in terms of admissions and courses. Ultimately, each university defines their programs so it is suggested students refer to individual math grad schools for details.

### Master of Science in Mathematics Programs

Master of Science (MS) in Mathematics Programs often encompass a basic graduate curriculum in mathematics. Some Masters in Math schools may provide an opportunity to tailor one’s degree plan through an area of interest. Thus, students could evaluate each school based on what concentrations may be available.

In some schools, students may need specific pre-requisites for a concentration. Each area typically involves a set of compulsory courses that may be stacked onto core program requirements. Some examples follow.

*Algebra and Topology:*Focus on the pillars of pure mathematics through courses in areas such as geometry, number theory, logic and computation*Mathematical Physics:*Focus on areas like functional analysis, geometry, and representation theory along with research in quantum physics*Applied Stochastics:*Focus on predictive methods and techniques in areas such as functional analysis, partial differential equations and number theory*Computing Science:*Focus on mathematical concepts of computation and information, general topology, algebra, logic and combinatorics

A typical MS program could involve basic courses in real analysis, complex analysis and linear algebra. These might be followed by other fundamental courses such as probability, scientific computing, and differential equations.

Depending on their mathematical interests, students may then be able to take more advanced graduate courses in pure and applied mathematics.

### Other MS Math Programs

As mathematics touches many fields, other university departments such as medical sciences and business may offer MS degrees where math plays a key role, but students study to earn their degree in a specific field. Business analytics, pathology, and pharmacology are some examples.

Thus, students who enjoy calculation might parlay this interest into a degree that relates to possible career pursuits. Each different type of program may have particular requirements to look out for.

**Master of Science in Business Analytics**

A Master of Science in Business Analytics could form around core courses in business theory. Students might then take courses which might equip them with the analytical skills needed to translate data statistics and analysis into active business decisions and strategy.

Coursework for a MS in Business Analytics could deal specifically with how to solve business problems through quantitative methods. Students might therefore study statistical methods, data mining and data base systems.

### Master of Arts in Mathematics Programs

Master of Arts (MA) in Mathematics programs are sometimes planned-out to provide educators with the tools to teach math. Math education-focused MA programs may not require students to have an extensive background in math but may be designed for teachers who have already earned their initial license.

Curriculums for a MA in Mathematics could align with common state core standards for K-8 teachers of math. In some programs, graduates might then apply to their state for an endorsement to teach math at a specific grade level (E.g. middle school ).

Participants might therefore study things like how to actively engage students so they could understand math concepts, learn skills and solve problems. While courses may vary between math schools, a MA in Math program may require students to complete core courses in some of the following topics.

- Numbers
- Algebra
- Geometry
- Mathematics in Science
- Data Analysis and Probability
- Integration of Technology
- Real World Applications

To further define themselves professionally, students might choose to pursue electives in areas such as how to teach to disabled students or curriculum development.

DID YOU KNOW?

In private industry, mathematicians typically need an advanced degree, either a master’s degree or a doctorate.^{i}

### Why Earn a Masters in Math on Campus?

Students who earn their Masters degree in Mathematics on campus may attend seminars to hear peers, professors and experts present papers on current research topics. Classes may be offered at times that suit both the at-work professional and student who wants the face-to-face interaction with faculty and classmates.

Also, for those who are drawn to mathematical research, the on-campus format could be one way to seek a mentor or guide. Students may also take part in team projects, where they could benefit from the hands-on support of a coach.

Another possible reason to choose an on-campus Masters in Math program is to take part in some of the extras that may be offered. For instance, in some schools, on-campus students may be eligible for teaching assistantships that might pay a stipend and may include a full tuition waiver.

### Take the Next Step

Do you want to find Masters in Math Schools in a preferred city or state? Would you enjoy a study abroad Math Masters program? Filter your results on this extensive directory to generate a list of sponsored schools. Then, easily apply with the on-page form.

[i] bls.gov/ooh/math/mathematicians-and-statisticians.htm#tab-4

Sponsored Listings

- University of Denver Denver, CODenver, CO
#### University of Denver

### Mathematics - Master

Our graduate programs provide a personalized, congenial and rewarding educational atmosphere. You will interact with our faculty from your first day at the University of Denver. The department of mathematics at the University of Denver offers an M.A. an...

- University of Colorado Denver
- Colorado School Of Mines Golden, COGolden, CO
#### Colorado School Of Mines

### Mathematical and Computer Sciences

The Department of Mathematical and Computer Sciences offers opportunities for graduate study leading to Master's and Ph.D. degrees. The main research areas in the department include partial differential equations, dynamical systems, numerical analysis,...

- University of Colorado - Boulder