Topology and Foundations
Featured Topology & Foundations Programs
Learn about start dates, transferring credits, availability of financial aid, and more by contacting the universities below.
If you have a knack for mathematics and an interest in learning more, study online to achieve your career goals at Southern New Hampshire University. Our mathematics degree can help you enhance your mathematical abilities, including reasoning and problem-solving in three areas: analysis, algebra and statistics.
BA in Mathematics - Applied Mathematics
Put mathematical concepts to work to solve today's most complex real-world problems by studying applied mathematics with this specialized online bachelor's from Southern New Hampshire University.
Featured Topology & Foundations Programs
Learn about start dates, transferring credits, availability of financial aid, and more by contacting the universities below.
If you have a knack for mathematics and an interest in learning more, study online to achieve your career goals at Southern New Hampshire University. Our mathematics degree can help you enhance your mathematical abilities, including reasoning and problem-solving in three areas: analysis, algebra and statistics.
BA in Mathematics - Applied Mathematics
Put mathematical concepts to work to solve today's most complex real-world problems by studying applied mathematics with this specialized online bachelor's from Southern New Hampshire University.
What Topology and Foundations Majors Need to Know
O*NET surveyed people in occupations related to topology and foundations and asked them what knowledge areas, skills, and abilities were important for their jobs. The responses were rated on a scale of 1 to 5 with 5 being most important.
Knowledge Areas for Topology and Foundations Majors
This major prepares you for careers in which these knowledge areas are important:
- Mathematics - Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
- English Language - Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
- Computers and Electronics - Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
- Education and Training - Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.
- Customer and Personal Service - Knowledge of principles and processes for providing customer and personal services. This includes customer needs assessment, meeting quality standards for services, and evaluation of customer satisfaction.
Skills for Topology and Foundations Majors
A major in topology and foundations prepares you for careers in which the following skill-sets are crucial:
- Mathematics - Using mathematics to solve problems.
- Reading Comprehension - Understanding written sentences and paragraphs in work related documents.
- Critical Thinking - Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
- Writing - Communicating effectively in writing as appropriate for the needs of the audience.
- Speaking - Talking to others to convey information effectively.
Abilities for Topology and Foundations Majors
Topology and Foundations majors often go into careers where the following abilities are vital:
- Mathematical Reasoning - The ability to choose the right mathematical methods or formulas to solve a problem.
- Deductive Reasoning - The ability to apply general rules to specific problems to produce answers that make sense.
- Written Comprehension - The ability to read and understand information and ideas presented in writing.
- Inductive Reasoning - The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
- Oral Comprehension - The ability to listen to and understand information and ideas presented through spoken words and sentences.
What Can You Do With a Topology and Foundations Major?
Below is a list of occupations associated with topology and foundations:
| Job Title | Job Growth Rate | Median Salary |
|---|---|---|
| Mathematical Science Professors | 9.4% | $73,230 |
| Mathematicians | 29.0% | $101,900 |
| Natural Sciences Managers | 9.9% | $123,860 |
Related Programs
Learn about other programs related to Topology & Foundations that might interest you.
BA in Mathematics - Applied Mathematics
Put mathematical concepts to work to solve today's most complex real-world problems by studying applied mathematics with this specialized online bachelor's from Southern New Hampshire University.
Amount of Education Required for Careers Related to Topology and Foundations
Some degrees associated with topology and foundations may require an advanced degree, while others may not even require a bachelor’s in the field. Whatever the case may be, pursuing more education usually means that more career options will be available to you.
Find out what the typical degree level is for topology and foundations careers below.
| Education Level | Percentage of Workers |
|---|---|
| Bachelor’s Degree | 21.6% |
| Post-Baccalaureate Certificate - awarded for completion of an organized program of study; designed for people who have completed a Baccalaureate degree but do not meet the requirements of academic degrees carrying the title of Master. | 2.4% |
| Master’s Degree | 34.4% |
| First Professional Degree - awarded for completion of a program that: requires at least 2 years of college work before entrance into the program, includes a total of at least 6 academic years of work to complete, and provides all remaining academic requirements to begin practice in a profession. | 2.2% |
| Doctoral Degree | 33.0% |
| Post-Doctoral Training | 6.7% |
Online Topology and Foundations Programs
The following table lists the number of programs by degree level, along with how many schools offered online courses in the field.
| Degree Level | Colleges Offering Programs | Colleges Offering Online Classes |
|---|---|---|
| Certificate (Less Than 1 Year) | 0 | 0 |
| Certificate (1-2 years) | 1 | 0 |
| Certificate (2-4 Years) | 0 | 0 |
| Associate’s Degree | 0 | 0 |
| Bachelor’s Degree | 0 | 0 |
| Post-Baccalaureate | 0 | 0 |
| Master’s Degree | 0 | 0 |
| Post-Master’s | 0 | 0 |
| Doctor’s Degree (Research) | 1 | 0 |
| Doctor’s Degree (Professional Practice) | 0 | 0 |
| Doctor’s Degree (Other) | 0 | 0 |
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Majors Related to Topology and Foundations
You may also be interested in one of the following majors related to topology and foundations.
| Major | Number of Grads |
|---|---|
| General Mathematics | 26,782 |
| Other Mathematics | 390 |
| Analysis & Functional Analysis | 6 |
| Algebra & Number Theory | 1 |
References
*The racial-ethnic minorities count is calculated by taking the total number of students and subtracting white students, international students, and students whose race/ethnicity was unknown. This number is then divided by the total number of students at the school to obtain the racial-ethnic minorities percentage.
- College Factual
- College Scorecard
- National Center for Education Statistics
- O*NET Online
- U.S. Bureau of Labor Statistics
- Usual Weekly Earnings of Wage and Salary Workers First Quarter 2020
More about our data sources and methodologies.
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