필수정보

유하림 커리큘럼 Essential Math Series 경시 시험 대비를 위한 책 중 AMC 10(12), CEMC, ARML Local, Purple Comet Math Meet와 같은 시험을 대비하는 교재이다. AMC 10을 시작하는 8, 9, 10학년 한국 학생들이 AIME Qualification을 받기 위해 공부해야 하는 필독서가 되길 바라는 마음으로 집필하였다. 현재 미국 명문 Boarding School 및 국내외 외국인학교에 다니는 8, 9, 10학년 학생들이 AMC 10(12) 및 다른 경시 시험에서 실제로 적극적으로 사고(think)하고, 문제 풀이의 방향을 잡을 수 있길 바라면서 책을 썼다.

Preface 3
이 책의 특징 4

Preface 3
이 책의 특징 4

Topic 1 Beginning with Combinatorics 9

1.1 Multiplication and Addition Principle...........................10
1.2 Principle of Inclusion and Exclusion............................12
1.3 Practices.........................................................................13

Topic 2 Continuing with Combinatorics 47

2.1 Case enumeration and Complements............................48
2.2 Indistinguishables and Distinguishables.......................50
2.2.1 Permutation Allowing Repetitions........................50
2.2.2 Partition of Sets....................................................50
2.2.3 Combination Allowing Repetitions.......................51
2.2.4 Partition of Natural Numbers...............................51
2.3 Practices.........................................................................53

Topic 3 Ending with Combinatorics 83

3.1 Probability with Restrictions.........................................84
3.2 More about Probability..................................................86
3.3 Practices.........................................................................88

Topic 4 Beginning with Number Theory 127

4.1 Divisors and Remainders...............................................128
4.2 Parity and Modular Arithmetic......................................130
4.3 Practices.........................................................................131

Topic 5 Ending with Number Theory 157

5.1 Divisibility and Modular Arithmetic..............................158
5.2 Chinese Remainder Theorem........................................160
5.3 Base Expression and Modular Expression....................161
5.4 Practices.........................................................................162

Topic 6 Beginning with Geometry 191

6.1 Basic Guidelines for Plane Geometry Problems...........192
6.2 Angle Bisector and Perpendicular Bisector...................195
6.3 Practices.........................................................................196

Topic 7 Ending with Geometry 219

7.1 Quadrilaterals and Cyclic Quadrilaterals.......................220
7.2 Circles............................................................................221
7.3 Practices.........................................................................222

Topic 8 More About Algebra 2 / Precalculus 245

8.1 About Polynomials.........................................................246
8.2 Maximum and Minimum...............................................248
8.3 Floor Function...............................................................249
8.4 Sequence and Series......................................................250
8.5 Using Trigonometry for Angle Equations......................251
8.6 Complex Plane Geometry and Vectors..........................252
8.7 Practices.........................................................................255