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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 |
저자 소개 1
현재 아모르이그잼학원 수학 대표교수 및 목동 MATH_TRIP 부원장으로 재직중이며 그 전에는 일산 종로학원 고등부 대표강사, 서대문 정일학원 강사, TOPIA 고등부 팀장으로 있었다.
품목정보
- 발행일
- 2018년 07월 17일
- 쪽수, 무게, 크기
- 357쪽 | 210*297*30mm
- ISBN13
- 9791156836919
출판사 리뷰
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이 책으로 수학을 공부하려는 수험생들을 위한 몇 가지 생각
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. 90점은 쉽다. 하지만 100점은 어렵다. 그 동안의 기출문제를 분석하고 강의를 하면서 나름대로의 생각을 정리하자면 딱 위의 한 문장으로 대변할 수 있을 것 같다. 공무원 수학은 전반적으로는 쉬운 난이도로 구성되어 있지만 변별력을 주기 위한 2∼3문제는 생각보다 훨씬 난이도가 높다. 따라서 이런 문제들을 대비하기 위해서는 학습량이 비약적으로 많아지는데 이 부분이 어려운 부분이다. 선택이 효율적이기 위해서 수험생들이 원하는 성적과 학습량 사이의 최적화가 반드시 필요한 이유이다. 공무원 수학시험은 내신과 수학능력시험의 그 가운데 어딘가에 있다. 어떤 시험을 준비하든 내가 준비하는 시험의 성격에 맞는 학습을 해야 가장 효과적이고 시간을 줄일 수 있다. 1문항 당 1분 정도의 시간 안에서 평가하는 공무원 시험의 특징은 충분한 시간을 주고 평가되는 내신이나 수능과는 상당히 다르다. 이 책에 수록된 문제가 반드시 공무원 시험에 최적화 되었다고는 말 할 수 없으나 시중 교재들이 가지는 수능문제 중심의 패턴은 확실하게 던져 버려 수험생들이 좀 더 쉽게 수학에 접근 할 수 있도록 도와주고 과도한 난이도의 문제들을 풀이하느라 시간을 낭비하지 않도록 배려했다. 수학을 대하는 자세? 개념은 머리로, 응용은 손으로 수학은 철학이다. 어떤 문제가 닥쳤을 때 이를 해결하기 위한 일반적인 생각의 방향을 그대로 따라간다. 그 문제가 무엇인지 정확하게 인지하고 해결할 수 있는 수단이나 방법을 생각하고 그 수단이나 방법을 사용하여 그 문제를 해결한다. 이 단순한 과정을 수학은 그대로 닮아있다. 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 해결해 갈 수 없습니다. 문제의 해결은 많은 문제를 해결해본 경험이 바탕이 된 손에서 이루어져야 합니다. |
