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- * [[American Mathematics Competitions]] (AMC) are the largest series of national high school competitions in the United States. These exams lea ...-- an excellent competition for students learning to solve proof-oriented problems.6 KB (625 words) - 15:24, 14 December 2024
- *ten problems are projected one at a time on a screen. The time limit per problem is 3 mi *Problems 1-5 will be no calculator. Problems 6-10 will be calculator permitted.8 KB (1,182 words) - 13:26, 3 April 2024
- ...tions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to ...http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series].16 KB (2,192 words) - 22:06, 19 July 2024
- *[https://www.amazon.com/Introduction-Classical-Mechanics-Problems-Solutions/dp/0521876222 Classical Mechanics by Morin] ...tein. This book contains hundreds of conceptual problems. Only some of the problems focus on mechanics.10 KB (1,410 words) - 12:07, 20 February 2024
- Find the sum of the infinite series: <center><math>3+\frac{11}4+\frac 94 + \cdots + \frac{n^2+2n+3}{2^n}+\cdots [[Category:Intermediate Algebra Problems]]1 KB (193 words) - 20:13, 18 May 2021
- ...'''AMC 10'''), along with the [[AMC 12]], is one of the first exams in the series of exams used to challenge bright students, grades 10 and below, on the pat The AMC 10 is a 25 question, 75 minute multiple choice test. Problems generally increase in difficulty as the exam progresses. Calculators were p4 KB (586 words) - 16:48, 28 October 2024
- ...American Mathematics Contest 12''' ('''AMC 12''') is the first exam in the series of exams used to challenge bright students, grades 12 and below, on the pat ...use during the test; however, calculators were never required to solve any problems, and students who did not use calculators were not disadvantaged.4 KB (529 words) - 08:01, 24 July 2024
- ...tational Mathematics Examination''' ('''AIME''') is the second exam in the series of exams used to challenge bright students on the path toward choosing the ...correct answers receive one point of credit, making the maximum score 15. Problems generally increase in difficulty as the exam progresses - the first few que8 KB (1,067 words) - 19:15, 24 October 2024
- The '''American Mathematics Competitions''' (AMC) consist of a series of increasingly difficult tests for students in middle school and high scho The AMC tests are the first in a series of test to select the American [[International Mathematical Olympiad]] team5 KB (696 words) - 02:47, 24 December 2019
- ...s of America Mathematical Olympiad''' ('''USAMO''') is the third test in a series of exams used to challenge bright students on the path toward choosing the ...on the USAMO have considerable experience both solving highly challenging problems and [[writing proofs]].6 KB (874 words) - 22:02, 10 November 2024
- * Performance on problems at practice sessions. ...students in close areas may be welcome as well. The selection process is a series of individual tests, and other experience is taken into consideration if ne22 KB (3,532 words) - 10:25, 27 September 2024
- ...ns of change, [[volume]]s of irregular [[solid]]s, and many other types of problems in mathematics. * [[Taylor series]]2 KB (299 words) - 18:47, 30 June 2024
- ...well as many [[math competitions]] is the use of creative methods to solve problems. In a way, students are discouraged to use rote memorization as opposed to ...ng example of this kind of thinking is the calculation of the sum of the [[series]] <math>\frac11 + \frac14 + \frac19 + \cdots + \frac{1}{n^2} + \cdots</math2 KB (314 words) - 05:45, 1 May 2014
- ...power of <math>p</math> in the prime factorization of <math>n!</math>. The series is formally infinite, but the terms converge to <math>0</math> rapidly, as ==Problems==10 KB (809 words) - 15:40, 17 March 2024
- ...he study of <math>\mathrm{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})</math>. Famous problems in algebraic number theory include the [[Birch and Swinnerton-Dyer Conjectu called Eisenstein series. If we set <math>g_2(z)=60G_4(z)</math> and <math>g_3(z)=140G_6(z)</math>,5 KB (849 words) - 15:14, 18 May 2021
- ...e with 5 possible answer choices. The remaining levels have tests with 30 problems, each multiple choice with 5 possible answer choices. ...thin the second one-third of the test is worth 4 points, and the remaining problems are worth 5 points. No penalty or partial credit is given to unanswered or6 KB (949 words) - 21:33, 17 November 2024
- ==Series== When <math>i</math> is used in an exponential series, it repeats at every four terms:2 KB (321 words) - 14:57, 5 September 2008
- A '''geometric series''' is the sum of all the terms of a geometric sequence. They come in two va A finite geometric series with first term <math>a_1</math>, common ratio <math>r</math> not equal to4 KB (649 words) - 20:09, 19 July 2024
- ...arithmetic sequence. All infinite arithmetic series diverge. As for finite series, there are two primary formulas used to compute their value. The first is that if an arithmetic series has first term <math>a_1</math>, last term <math>a_n</math>, and <math>n</m4 KB (736 words) - 01:00, 7 March 2024
- ...e definition of trigonometry. Beyond the scope of contest math, the Taylor series definition of trigonometry is preferred in order to extend trigonometry to === Taylor series definition ===8 KB (1,217 words) - 19:15, 7 September 2023