Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

Top Topology Schools Admission and Tuition Comparison

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
RankName Acceptance RatesGraduation RatesPopulationStudent-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 %)
Average12.90%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
Table. Best Topology Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1University of California-Berkeley $14,170$42,184 $14,863$44,276
2Stanford University $49,617$51,352
3Princeton University $47,140$49,054
4Harvard University $48,949$50,898
4Massachusetts Institute of Technology $49,892$51,374
6University of Chicago $56,034$59,816
7Columbia University in the City of New York $57,208$59,444
8The University of Texas at Austin $10,398$36,744 $10,713$37,838
9Cornell University $52,853$54,823
10University 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
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1University of California-Berkeley $14,170$29,272 $14,863$29,948
2Stanford University $47,940$47,940
3Princeton University $48,940$50,722
4Harvard University $45,958$47,587
4Massachusetts Institute of Technology $52,892$54,588
6University of Chicago $57,000$59,245
7Columbia University in the City of New York $46,956$48,401
8The University of Texas at Austin $11,490$22,178 $11,683$22,858
9Cornell University $29,585$29,585
10University of California-Los Angeles $13,003$28,105 $13,331$28,429
Average$12,888$40,883$13,293$41,931

Top Mathematical Logic Schools Admission and Tuition Comparison

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
RankName Acceptance RatesGraduation RatesPopulationStudent-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 %)
Average36.43%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
Table. Best Mathematical Logic Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1University of California-Berkeley $14,170$42,184 $14,863$44,276
2University of California-Los Angeles $13,261$41,275 $13,611$43,019
3University of Notre Dame $51,505$53,391
4University of Illinois at Urbana-Champaign $15,074$31,194 $13,223$28,610
4University of Wisconsin-Madison $10,533$34,783 $10,578$36,956
6University of Illinois at Chicago $13,704$26,560 $12,710$28,148
7Cornell 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
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1University of California-Berkeley $14,170$29,272 $14,863$29,948
2University of California-Los Angeles $13,003$28,105 $13,331$28,429
3University of Notre Dame $51,336$53,216
4University of Illinois at Urbana-Champaign $18,224$31,811 $18,159$32,096
4University of Wisconsin-Madison $11,988$25,314 $12,033$25,359
6University of Illinois at Chicago $16,622$26,862 $16,906$28,524
7Cornell University $29,585$29,585
Average$14,801$31,755$15,059$32,451

Top Geometry Schools Admission and Tuition Comparison

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
RankName Acceptance RatesGraduation RatesPopulationStudent-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 %)
Average14.27%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
Table. Best Geometry Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1Harvard University $48,949$50,898
2Massachusetts Institute of Technology $49,892$51,374
2Stanford University $49,617$51,352
4Stony Brook University $9,257$26,767 $9,522$27,306
4University of California-Berkeley $14,170$42,184 $14,863$44,276
6Princeton University $47,140$49,054
7University of Chicago $56,034$59,816
8Columbia University in the City of New York $57,208$59,444
9University of Pennsylvania $53,534$55,687
10New York University $50,464$51,906
10University 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
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1Harvard University $45,958$47,587
2Massachusetts Institute of Technology $52,892$54,588
2Stanford University $47,940$47,940
4Stony Brook University $12,635$23,975 $12,704$24,044
4University of California-Berkeley $14,170$29,272 $14,863$29,948
6Princeton University $48,940$50,722
7University of Chicago $57,000$59,245
8Columbia University in the City of New York $46,956$48,401
9University of Pennsylvania $37,134$38,729
10New York University $43,848$45,379
10University of California-Los Angeles $13,003$28,105 $13,331$28,429
Average$13,269$42,002$13,633$43,183

Top Discrete Mathematics and Combinatorics Schools Admission and Tuition Comparison

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
RankName Acceptance RatesGraduation RatesPopulationStudent-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 %)
Average30.20%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
Table. Best Discrete Mathematics and Combinatorics Colleges 2018 Undergraduate Tuition & Fees Comparison and 2019 Estimation
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1Massachusetts Institute of Technology $49,892$51,374
2Princeton University $47,140$49,054
3University of California-San Diego $14,018$42,032 $14,401$43,809
4Georgia Institute of Technology-Main Campus $12,418$33,014 $12,627$33,635
5University of Michigan-Ann Arbor $14,826$47,476 $14,357$47,953
6University of California-Berkeley $14,170$42,184 $14,863$44,276
6University of California-Los Angeles $13,261$41,275 $13,611$43,019
8Rutgers University-New Brunswick $14,638$30,579 $14,909$31,145
8University of Illinois at Urbana-Champaign $15,074$31,194 $13,223$28,610
8University 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
RankSchool Name 2018 Tuition & Fees2019 Estimated Tuition & Fees
In-StateOut-of-StateIn-StateOut-of-State
1Massachusetts Institute of Technology $52,892$54,588
2Princeton University $48,940$50,722
3University of California-San Diego $13,085$28,187 $13,085$28,187
4Georgia Institute of Technology-Main Campus $15,798$30,578 $15,945$31,093
5University of Michigan-Ann Arbor $22,696$45,484 $23,635$47,369
6University of California-Berkeley $14,170$29,272 $14,863$29,948
6University of California-Los Angeles $13,003$28,105 $13,331$28,429
8Rutgers University-New Brunswick $18,984$30,792 $19,342$31,370
8University of Illinois at Urbana-Champaign $18,224$31,811 $18,159$32,096
8University of Minnesota-Twin Cities $18,232$27,388 $18,743$28,183
Average$16,774$35,345$17,138$36,199