PART 01 고등수학

제 1장 집합과 명제 ······································· 8

01 집합과 원소 ··································· 8

02 명제 ··············································· 10

∙ 핵심 예상 문제 ································· 12

제 2장 수와 식 ··············································· 20

01 수체계 ··········································· 20

02 복소수 ··········································· 21

03 다항식 ··········································· 24

04 유리식과 무리식 ··························· 30

∙ 핵심 예상 문제 ································· 34

제 3장 방정식과 부등식 ······························ 48

01 방정식 ··········································· 48

02 부등식 ··········································· 51

∙ 핵심 예상 문제 ································· 54

제 4장 도형의 방정식 ·································· 70

01 점과 좌표 ······································ 70

02 직선의 방정식 ······························· 71

03 원의 방정식 ··································· 72

04 도형의 이동 ··································· 73

05 부등식의 영역 ······························· 74

∙ 핵심 예상 문제 ································· 76

제 5장 함수 ····················································· 88

01 함수 ··············································· 88

02 절댓값이 있는 함수 그래프 ········· 90

03 유리함수 ······································· 90

∙ 핵심 예상 문제 ································· 94

제 6장 지수와 로그 ······································ 108

01 지수 ··············································· 108

02 로그 ··············································· 110

∙ 핵심 예상 문제 ································ 112

제 7장 수열 ····················································· 124

01 등차수열과 등비수열 ··················· 124

02 여러 가지 수열 ····························· 126

∙ 핵심 예상 문제 ································ 130

제 8장 수열의 극한 ······································ 144

01 수열의 극한 ·································· 144

02 무한급수 ······································· 146

∙ 핵심 예상 문제 ································ 148

PART 02 미적분Ⅰ

제 9장 함수의 극한 ······································ 162

01 함수의 극한 ·································· 162

02 함수의 연속성 ······························ 164

∙ 핵심 예상 문제 ································ 168

제 10장 미분 ·················································· 176

01 미분계수와 도함수 ······················· 176

02 접선의 방정식 ······························ 177

03 함수의 증가와 감소 ····················· 178

04 도함수의 활용 (1) ························ 179

05 도함수의 활용 (2) ························ 181

∙ 핵심 예상 문제 ································ 184

제 11장 적분 ················································ 194

01 부정적분 ······································ 194

02 정적분 ··········································· 195

03 정적분의 활용 ······························ 197

∙ 핵심 예상 문제 ································ 200

PART 03 확률과 통계

제 12장 확률과 통계 ··································· 212

01 순열과 조합 ·································· 212

02 확률 ··············································· 215

03 통계 ··············································· 217

∙ 핵심 예상 문제 ································ 222

PART 04 기출문제

01 2016년 국가직 9급 ································ 246

02 2016년 지방직 9급 ································ 250

03 2017년 국가직 9급 ································ 254

03 2017년 지방직 9급 ································ 258

PART 05 정답 및 해설

PART 01 고등수학 정답 및 해설 ·········· 264

PART 02 미적분Ⅰ 정답 및 해설 ·········· 319

PART 03 확률과 통계 정답 및 해설 ····· 338

PART 04 기출문제 정답 및 해설 ·········· 349

박성재 교수

현) 아모르이그잼학원 수학 대표교수

전) 일산 종로학원 고등부 대표강사

전) 서대문 정일학원 강사 

전) TOPIA 고등부 팀장

9급 국가직·지방직 공무원 시험대비

중간고사보다 더 쉬운 공무원시험으로 고득점을 노린다!

-복습을 통한 습관적, 개념적 실수 극복

-개념알기를 통한 응용수학 접근

-반복 학습을 통한 기초 개념의 장기 기억 전환