Top Topology Schools Admission and Tuition Comparison

University of California-Berkeley is ranked first in Topology and Stanford University is placed in second.

Topology is the mathematical study of shapes and topological spaces. It is an area of mathematics concerned with the properties of space that are preserved under continuous deformations including stretching and bending, but not tearing or gluing. This includes such properties as connectedness, continuity and boundary.[read more at wiki]

Academic Factors Comparison Between Best Colleges in Topology Major

3 public and 7 private schools are ranked in the top 10 Topology colleges. The average acceptance ratio of the schools is 12.90% where Stanford University has the tightest acceptance ratio of 5% and The University of Texas at Austin has the highest ratio of 40%. Total 269,148 students are enrolled into best Topology schools where The University of Texas at Austin has the largest population with 51,331 students and Princeton University has the smallest with 8,181 students. The average graduation rate is 92.70% and the average students to faculty ratio is 9.90:1 at those colleges.

Next table shows the academic information and key facts of the best Topology colleges including acceptance ratio, graduation rates, student population, and students to faculty ratio.

Table. Best Topology Colleges Overview

Rank	Name	Acceptance Rates	Graduation Rates	Population	Student-Faculty Ratio
1	University of California-Berkeley Berkeley, CA	17%	92%	40,154	18:1 (5.56 %)
2	Stanford University Stanford, CA	5%	94%	17,184	10:1 (10.00 %)
3	Princeton University Princeton, NJ	7%	97%	8,181	5:1 (20.00 %)
4	Harvard University Cambridge, MA	5%	97%	29,908	7:1 (14.29 %)
4	Massachusetts Institute of Technology Cambridge, MA	8%	93%	11,376	3:1 (33.33 %)
6	University of Chicago Chicago, IL	8%	94%	15,775	6:1 (16.67 %)
7	Columbia University in the City of New York New York, NY	7%	94%	29,372	6:1 (16.67 %)
8	The University of Texas at Austin Austin, TX	40%	81%	51,331	18:1 (5.56 %)
9	Cornell University Ithaca, NY	14%	94%	22,319	9:1 (11.11 %)
10	University of California-Los Angeles Los Angeles, CA	18%	91%	43,548	17:1 (5.88 %)
	Average	12.90%	92.70%	269,148 (Total)	9.90:1 (10.10 %)

Best Topology Colleges 2018 Tuition & Fees Comparison and 2019 Estimated Costs

Next table lists 2017-2018 tuition & fees and compares the costs between Best Topology Colleges. The 2017-2018 costs are officially published by IPEDS, U.S. Department of Education. The estimated costs for year 2018-2019 are calculated and estimated based on each school's tuition rates last year.

For the undergraduate programs, the average tuition & fees of best Topology schools is $48,190 where Columbia University in the City of New York has the most expensive costs with $57,208 and The University of Texas at Austin has the lowest amount of tuition with with $36,744. The average graduate tuition & fees of best Topology schools is $40,883 where University of Chicago has the highest tuition with $57,000 and The University of Texas at Austin has the lowest amount of tuition with with $22,178.

UndergraduateGraduate Living Costs

Table. Best Topology Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	University of California-Berkeley	$14,170	$42,184	$14,863	$44,276
2	Stanford University	$49,617		$51,352
3	Princeton University	$47,140		$49,054
4	Harvard University	$48,949		$50,898
4	Massachusetts Institute of Technology	$49,892		$51,374
6	University of Chicago	$56,034		$59,816
7	Columbia University in the City of New York	$57,208		$59,444
8	The University of Texas at Austin	$10,398	$36,744	$10,713	$37,838
9	Cornell University	$52,853		$54,823
10	University of California-Los Angeles	$13,261	$41,275	$13,611	$43,019
	Average	$12,610	$48,190	$13,063	$50,190

Table. Best Topology Colleges 2018 Graduate School Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	University of California-Berkeley	$14,170	$29,272	$14,863	$29,948
2	Stanford University	$47,940		$47,940
3	Princeton University	$48,940		$50,722
4	Harvard University	$45,958		$47,587
4	Massachusetts Institute of Technology	$52,892		$54,588
6	University of Chicago	$57,000		$59,245
7	Columbia University in the City of New York	$46,956		$48,401
8	The University of Texas at Austin	$11,490	$22,178	$11,683	$22,858
9	Cornell University	$29,585		$29,585
10	University of California-Los Angeles	$13,003	$28,105	$13,331	$28,429
	Average	$12,888	$40,883	$13,293	$41,931

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Top Mathematical Logic Schools Admission and Tuition Comparison

University of California-Berkeley is ranked first in Mathematical Logic and University of California-Los Angeles is placed in second.

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. Topically, mathematical logic bears close connections to metamathematics, the foundations of mathematics, and theoretical computer science. The unifying themes in mathematical logic include the study of the expressive power of formal systems and the deductive power of formal proof systems.[read more at wiki]

Academic Factors Comparison Between Best Colleges in Mathematical Logic Major

5 public and 2 private schools are ranked in the top 10 Mathematical Logic colleges. The average acceptance ratio of the schools is 36.43% where Cornell University has the tightest acceptance ratio of 14% and University of Illinois at Chicago has the highest ratio of 74%. Total 237,067 students are enrolled into best Mathematical Logic schools where University of Illinois at Urbana-Champaign has the largest population with 46,951 students and University of Notre Dame has the smallest with 12,393 students. The average graduation rate is 85.71% and the average students to faculty ratio is 15.71:1 at those colleges.

Next table shows the academic information and key facts of the best Mathematical Logic colleges including acceptance ratio, graduation rates, student population, and students to faculty ratio.

Table. Best Mathematical Logic Colleges Overview

Rank	Name	Acceptance Rates	Graduation Rates	Population	Student-Faculty Ratio
1	University of California-Berkeley Berkeley, CA	17%	92%	40,154	18:1 (5.56 %)
2	University of California-Los Angeles Los Angeles, CA	18%	91%	43,548	17:1 (5.88 %)
3	University of Notre Dame Notre Dame, IN	19%	95%	12,393	10:1 (10.00 %)
4	University of Illinois at Urbana-Champaign Champaign, IL	60%	85%	46,951	20:1 (5.00 %)
4	University of Wisconsin-Madison Madison, WI	53%	85%	42,582	18:1 (5.56 %)
6	University of Illinois at Chicago Chicago, IL	74%	58%	29,120	18:1 (5.56 %)
7	Cornell University Ithaca, NY	14%	94%	22,319	9:1 (11.11 %)
	Average	36.43%	85.71%	237,067 (Total)	15.71:1 (6.36 %)

Best Mathematical Logic Colleges 2018 Tuition & Fees Comparison and 2019 Estimated Costs

Next table lists 2017-2018 tuition & fees and compares the costs between Best Mathematical Logic Colleges. The 2017-2018 costs are officially published by IPEDS, U.S. Department of Education. The estimated costs for year 2018-2019 are calculated and estimated based on each school's tuition rates last year.

For the undergraduate programs, the average tuition & fees of best Mathematical Logic schools is $40,051 where Cornell University has the most expensive costs with $52,853 and University of Illinois at Chicago has the lowest amount of tuition with with $26,560. The average graduate tuition & fees of best Mathematical Logic schools is $31,755 where University of Notre Dame has the highest tuition with $51,336 and University of Wisconsin-Madison has the lowest amount of tuition with with $25,314.

UndergraduateGraduate Living Costs

Table. Best Mathematical Logic Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	University of California-Berkeley	$14,170	$42,184	$14,863	$44,276
2	University of California-Los Angeles	$13,261	$41,275	$13,611	$43,019
3	University of Notre Dame	$51,505		$53,391
4	University of Illinois at Urbana-Champaign	$15,074	$31,194	$13,223	$28,610
4	University of Wisconsin-Madison	$10,533	$34,783	$10,578	$36,956
6	University of Illinois at Chicago	$13,704	$26,560	$12,710	$28,148
7	Cornell University	$52,853		$54,823
	Average	$13,348	$40,051	$12,997	$41,318

Table. Best Mathematical Logic Colleges 2018 Graduate School Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	University of California-Berkeley	$14,170	$29,272	$14,863	$29,948
2	University of California-Los Angeles	$13,003	$28,105	$13,331	$28,429
3	University of Notre Dame	$51,336		$53,216
4	University of Illinois at Urbana-Champaign	$18,224	$31,811	$18,159	$32,096
4	University of Wisconsin-Madison	$11,988	$25,314	$12,033	$25,359
6	University of Illinois at Chicago	$16,622	$26,862	$16,906	$28,524
7	Cornell University	$29,585		$29,585
	Average	$14,801	$31,755	$15,059	$32,451

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Top Geometry Schools Admission and Tuition Comparison

Harvard University is ranked first in Geometry and Massachusetts Institute of Technology is placed in second.

Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of formal mathematical science emerging in the West as early as Thales (6th Century BC). By the 3rd century BC, geometry was put into an axiomatic form by Euclid, whose treatment - Euclidean geometry - set a standard for many centuries to follow. Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially as it relates to mapping the positions of stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. In the classical world, both geometry and astronomy were considered to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master.[read more at wiki]

Academic Factors Comparison Between Best Colleges in Geometry Major

3 public and 8 private schools are ranked in the top 10 Geometry colleges. The average acceptance ratio of the schools is 14.27% where Harvard University has the tightest acceptance ratio of 5% and Stony Brook University has the highest ratio of 41%. Total 296,742 students are enrolled into best Geometry schools where New York University has the largest population with 50,550 students and Princeton University has the smallest with 8,181 students. The average graduation rate is 91.27% and the average students to faculty ratio is 9.55:1 at those colleges.

Next table shows the academic information and key facts of the best Geometry colleges including acceptance ratio, graduation rates, student population, and students to faculty ratio.

Table. Best Geometry Colleges Overview

Rank	Name	Acceptance Rates	Graduation Rates	Population	Student-Faculty Ratio
1	Harvard University Cambridge, MA	5%	97%	29,908	7:1 (14.29 %)
2	Massachusetts Institute of Technology Cambridge, MA	8%	93%	11,376	3:1 (33.33 %)
2	Stanford University Stanford, CA	5%	94%	17,184	10:1 (10.00 %)
4	Stony Brook University Stony Brook, NY	41%	72%	25,734	17:1 (5.88 %)
4	University of California-Berkeley Berkeley, CA	17%	92%	40,154	18:1 (5.56 %)
6	Princeton University Princeton, NJ	7%	97%	8,181	5:1 (20.00 %)
7	University of Chicago Chicago, IL	8%	94%	15,775	6:1 (16.67 %)
8	Columbia University in the City of New York New York, NY	7%	94%	29,372	6:1 (16.67 %)
9	University of Pennsylvania Philadelphia, PA	9%	95%	24,960	6:1 (16.67 %)
10	New York University New York, NY	32%	85%	50,550	10:1 (10.00 %)
10	University of California-Los Angeles Los Angeles, CA	18%	91%	43,548	17:1 (5.88 %)
	Average	14.27%	91.27%	296,742 (Total)	9.55:1 (10.48 %)

Best Geometry Colleges 2018 Tuition & Fees Comparison and 2019 Estimated Costs

Next table lists 2017-2018 tuition & fees and compares the costs between Best Geometry Colleges. The 2017-2018 costs are officially published by IPEDS, U.S. Department of Education. The estimated costs for year 2018-2019 are calculated and estimated based on each school's tuition rates last year.

For the undergraduate programs, the average tuition & fees of best Geometry schools is $47,551 where Columbia University in the City of New York has the most expensive costs with $57,208 and Stony Brook University has the lowest amount of tuition with with $26,767. The average graduate tuition & fees of best Geometry schools is $42,002 where University of Chicago has the highest tuition with $57,000 and Stony Brook University has the lowest amount of tuition with with $23,975.

UndergraduateGraduate Living Costs

Table. Best Geometry Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	Harvard University	$48,949		$50,898
2	Massachusetts Institute of Technology	$49,892		$51,374
2	Stanford University	$49,617		$51,352
4	Stony Brook University	$9,257	$26,767	$9,522	$27,306
4	University of California-Berkeley	$14,170	$42,184	$14,863	$44,276
6	Princeton University	$47,140		$49,054
7	University of Chicago	$56,034		$59,816
8	Columbia University in the City of New York	$57,208		$59,444
9	University of Pennsylvania	$53,534		$55,687
10	New York University	$50,464		$51,906
10	University of California-Los Angeles	$13,261	$41,275	$13,611	$43,019
	Average	$12,229	$47,551	$12,666	$49,467

Table. Best Geometry Colleges 2018 Graduate School Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	Harvard University	$45,958		$47,587
2	Massachusetts Institute of Technology	$52,892		$54,588
2	Stanford University	$47,940		$47,940
4	Stony Brook University	$12,635	$23,975	$12,704	$24,044
4	University of California-Berkeley	$14,170	$29,272	$14,863	$29,948
6	Princeton University	$48,940		$50,722
7	University of Chicago	$57,000		$59,245
8	Columbia University in the City of New York	$46,956		$48,401
9	University of Pennsylvania	$37,134		$38,729
10	New York University	$43,848		$45,379
10	University of California-Los Angeles	$13,003	$28,105	$13,331	$28,429
	Average	$13,269	$42,002	$13,633	$43,183

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Top Discrete Mathematics and Combinatorics Schools Admission and Tuition Comparison

Massachusetts Institute of Technology is ranked first in Discrete Mathematics and Combinatorics and Princeton University is placed in second.

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics - such as integers, graphs, and statements in logic - do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers). However, there is no exact, universally agreed, definition of the term "discrete mathematics." Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions.[read more at wiki]

Academic Factors Comparison Between Best Colleges in Discrete Mathematics And Combinatorics Major

8 public and 2 private schools are ranked in the top 10 Discrete Mathematics and Combinatorics colleges. The average acceptance ratio of the schools is 30.20% where Princeton University has the tightest acceptance ratio of 7% and University of Illinois at Urbana-Champaign has the highest ratio of 60%. Total 358,471 students are enrolled into best Discrete Mathematics and Combinatorics schools where University of Minnesota-Twin Cities has the largest population with 51,579 students and Princeton University has the smallest with 8,181 students. The average graduation rate is 88.00% and the average students to faculty ratio is 14.60:1 at those colleges.

Next table shows the academic information and key facts of the best Discrete Mathematics and Combinatorics colleges including acceptance ratio, graduation rates, student population, and students to faculty ratio.

Table. Best Discrete Mathematics And Combinatorics Colleges Overview

Rank	Name	Acceptance Rates	Graduation Rates	Population	Student-Faculty Ratio
1	Massachusetts Institute of Technology Cambridge, MA	8%	93%	11,376	3:1 (33.33 %)
2	Princeton University Princeton, NJ	7%	97%	8,181	5:1 (20.00 %)
3	University of California-San Diego La Jolla, CA	36%	87%	34,979	19:1 (5.26 %)
4	Georgia Institute of Technology-Main Campus Atlanta, GA	26%	86%	26,839	20:1 (5.00 %)
5	University of Michigan-Ann Arbor Ann Arbor, MI	29%	91%	44,718	12:1 (8.33 %)
6	University of California-Berkeley Berkeley, CA	17%	92%	40,154	18:1 (5.56 %)
6	University of California-Los Angeles Los Angeles, CA	18%	91%	43,548	17:1 (5.88 %)
8	Rutgers University-New Brunswick New Brunswick, NJ	57%	80%	50,146	15:1 (6.67 %)
8	University of Illinois at Urbana-Champaign Champaign, IL	60%	85%	46,951	20:1 (5.00 %)
8	University of Minnesota-Twin Cities Minneapolis, MN	44%	78%	51,579	17:1 (5.88 %)
	Average	30.20%	88.00%	358,471 (Total)	14.60:1 (6.85 %)

Best Discrete Mathematics and Combinatorics Colleges 2018 Tuition & Fees Comparison and 2019 Estimated Costs

Next table lists 2017-2018 tuition & fees and compares the costs between Best Discrete Mathematics and Combinatorics Colleges. The 2017-2018 costs are officially published by IPEDS, U.S. Department of Education. The estimated costs for year 2018-2019 are calculated and estimated based on each school's tuition rates last year.

For the undergraduate programs, the average tuition & fees of best Discrete Mathematics and Combinatorics schools is $39,139 where Massachusetts Institute of Technology has the most expensive costs with $49,892 and University of Minnesota-Twin Cities has the lowest amount of tuition with with $26,603. The average graduate tuition & fees of best Discrete Mathematics and Combinatorics schools is $35,345 where Massachusetts Institute of Technology has the highest tuition with $52,892 and University of Minnesota-Twin Cities has the lowest amount of tuition with with $27,388.

UndergraduateGraduate Living Costs

Table. Best Discrete Mathematics and Combinatorics Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	Massachusetts Institute of Technology	$49,892		$51,374
2	Princeton University	$47,140		$49,054
3	University of California-San Diego	$14,018	$42,032	$14,401	$43,809
4	Georgia Institute of Technology-Main Campus	$12,418	$33,014	$12,627	$33,635
5	University of Michigan-Ann Arbor	$14,826	$47,476	$14,357	$47,953
6	University of California-Berkeley	$14,170	$42,184	$14,863	$44,276
6	University of California-Los Angeles	$13,261	$41,275	$13,611	$43,019
8	Rutgers University-New Brunswick	$14,638	$30,579	$14,909	$31,145
8	University of Illinois at Urbana-Champaign	$15,074	$31,194	$13,223	$28,610
8	University of Minnesota-Twin Cities	$14,417	$26,603	$14,697	$29,729
	Average	$14,103	$39,139	$14,086	$40,261

Table. Best Discrete Mathematics and Combinatorics Colleges 2018 Graduate School Tuition & Fees Comparison and 2019 Estimation

Rank	School Name	2018 Tuition & Fees		2019 Estimated Tuition & Fees
		In-State	Out-of-State	In-State	Out-of-State
1	Massachusetts Institute of Technology	$52,892		$54,588
2	Princeton University	$48,940		$50,722
3	University of California-San Diego	$13,085	$28,187	$13,085	$28,187
4	Georgia Institute of Technology-Main Campus	$15,798	$30,578	$15,945	$31,093
5	University of Michigan-Ann Arbor	$22,696	$45,484	$23,635	$47,369
6	University of California-Berkeley	$14,170	$29,272	$14,863	$29,948
6	University of California-Los Angeles	$13,003	$28,105	$13,331	$28,429
8	Rutgers University-New Brunswick	$18,984	$30,792	$19,342	$31,370
8	University of Illinois at Urbana-Champaign	$18,224	$31,811	$18,159	$32,096
8	University of Minnesota-Twin Cities	$18,232	$27,388	$18,743	$28,183
	Average	$16,774	$35,345	$17,138	$36,199

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