힐링수학: 고등수학 수학1 미적분과통계기본(2016)

9급 국가직 지방직 공무원 시험대비

박성재 저자(글)

북이그잼 · 2015년 07월 15일

책 소개

- 독자대상 : 9급 공무원 시험 준비생
- 구성 : 이론 + 문제
- 특징 :
① 반복학습을 통한 기초개념의 장기기억 전환
② 복습을 통한 습관적, 개념적 실수 극복

작가정보

저자(글) 박성재

저자 박성재 교수는
현) 아모르이그잼학원 수학 대표교수
현) 목동 MATH_TRIP 부원장
전) 일산 종로학원 고등부 대표강사
전) 서대문 정일학원 강사
전) TOPIA 고등부 팀장

목차

• 제1편 고등수학
  제1장 집합과 명제 ········································· 8
  01 집합과 원소 ···································· 8
  02 명 제 ············································· 10
  ㆍ 핵심 예상 문제 ······························ 12
  제2장 수와 식 ··············································· 20
  01 수체계 ·········································· 20
  02 복소수 ·········································· 22
  03 다항식 ·········································· 25
  04 유리식과 무리식 ························ 31
  ㆍ 핵심 예상 문제 ······························ 34
  제3장 방정식과 부등식 ······························ 50
  01 방정식 ·········································· 50
  02 부등식 ·········································· 53
  ㆍ 핵심 예상 문제 ······························ 56
  제4장 도형의 방정식 ··································· 72
  01 점과 좌표 ···································· 72
  02 직선의 방정식 ···························· 73
  03 원의 방정식 ································ 74
  04 도형의 이동 ································ 75
  05 부등식의 영역 ···························· 76
  ㆍ 핵심 예상 문제 ······························ 78
  제5장 함 수 ··················································· 90
  01 함 수 ············································ 90
  02 절댓값이 있는 함수 그래프 ······ 92
  03 유리함수 ······································ 92
  ㆍ 핵심 예상 문제 ······························ 96
  제6장 삼각함수 ············································· 110
  01 삼각함수 ······································ 110
  02 삼각함수의 응용 ························ 114
  ㆍ 핵심 예상 문제 ······························ 116
  제2편 수학Ⅰ
  제7장 행 렬 ··················································· 126
  01 행렬의 연산 ································ 126
  02 역행렬 ·········································· 128
  03 행렬과 그래프 ···························· 129
  ㆍ 핵심 예상 문제 ······························ 132
  제8장 지수와 로그 ······································ 142
  01 지 수 ············································ 142
  02 로 그 ············································ 144
  03 지수함수 ······································ 145
  04 로그함수 ······································ 147
  ㆍ 핵심 예상 문제 ······························ 150
  제9장 수 열 ··················································· 170
  01 등차수열과 등비수열 ················ 170
  02 여러 가지 수열 ·························· 172
  ㆍ 핵심 예상 문제 ······························ 176
  제10장 수열의 극한 ···································· 190
  01 수열의 극한 ································ 190
  02 무한급수 ······································ 192
  ㆍ 핵심 예상 문제 ······························ 194
  제3편 미적분과 통계기본
  제11장 함수의 극한 ···································· 208
  01 함수의 극한 ································ 208
  02 함수의 연속성 ···························· 210
  ㆍ 핵심 예상 문제 ······························ 214
  제12장 미 분 ················································ 222
  01 미분계수와 도함수 ···················· 222
  02 접선의 방정식 ···························· 223
  03 함수의 증가와 감소 ·················· 224
  04 도함수의 활용 (1) ····················· 225
  04 도함수의 활용 (2) ····················· 227
  ㆍ 핵심 예상 문제 ······························ 230
  제13장 적 분 ················································ 240
  01 부정적분 ······································ 240
  02 정적분 ·········································· 241
  03 정적분의 활용 ···························· 243
  ㆍ 핵심 예상 문제 ······························ 246
  제14장 확률과 통계 ···································· 258
  01 순열과 조합 ································ 258
  02 확 률 ············································ 260
  03 통 계 ············································ 261
  ㆍ 핵심 예상 문제 ······························ 266
  제4편 기출문제
  ㆍ 2013년 국가직 9급 ································· 288
  ㆍ 2013년 지방직 9급 ································· 292
  ㆍ 2014년 국가직 9급 ································· 296
  ㆍ 2014년 지방직 9급 ································· 301
  제5편 정답 및 해설
  01 고등수학 정답 및 해설 ························ 308
  02 수학 I 정답 및 해설 ······························ 348
  03 미적분과 통계기본 ································· 378
  04 기출문제 ···················································· 407

출판사 서평

2016년 9급 국가직, 지방직 시험대비

중간고사보다 더 쉬운 공무원 시험으로 고득점을 노린다!
-반복학습을 통한 기초개념의 장기기억 전환
-복습을 통한 습관적, 개념적 실수 극복
-개념 알기를 통한 응용 수학 접근

수학의 선택이 올바른 길일 수 있다.
수학은 새롭게 개편된 공무원 시험의 선택과목 중 하나지만 시험범위가 문과와 이과를 포함한 일반적인 고등수학이고, 현재 시행되고 있는 대학수학능력시험보다 난이도가 비교적 낮게 출제되어 선택하는 수험생 대부분이 90점 이상의 고득점을 목표로 하는 과목으로, 수학의 기본기가 잘 갖추어진 수험생에게는 최소의 시간투자로 좋은 결과를, 기본기가 부족한 수험생이라도 차분하게 준비를 해 나간다면 다른 과목에 비해 상대적으로 어렵지 않게 원하는 결과를 얻을 수 있는 대표적인 효율적 선택과목이다.

그 동안의 기출문제를 분석하고 강의를 하면서 나름대로의 생각을 정리하자면 딱 위의 한 문장
으로 대변할 수 있을 것 같다. 공무원 수학은 전반적으로는 쉬운 난이도로 구성되어 있지만 변별
력을 주기 위한 2∼3문제는 생각보다 훨씬 난이도가 높다. 따라서 이런 문제들을 대비하기 위해
서는 학습량이 비약적으로 많아지는데 이 부분이 어려운 부분이다. 선택이 효율적이기 위해서
수험생들이 원하는 성적과 학습량 사이의 최적화가 반드시 필요한 이유이다.

① 문제를 읽고 주어진 조건과 구해야 할 것을 이해한다. (문제에 대한 이해)
② 주어진 조건을 고려해서 문제해결을 위한 개념을 알아내고 방향을 잡는다. (계획의 작성)
③ 알아낸 개념을 바탕으로 문제를 해결해 나간다. (계획의 실행)
문제해결을 위한 개념은 나의 머리에 있어야 합니다. 하지만 개념만 아는 것만으로는 문제를 해
결해 갈 수 없습니다. 문제의 해결은 많은 문제를 해결해본 경험이 바탕이 된 손에서 이루어져야
합니다.

기본정보

ISBN	9791156832287
발행(출시)일자	2015년 07월 15일
쪽수	417쪽
크기	210 * 297 * 30 mm
총권수	1권