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1c:Tc2a,こんにちは！

高校3年から微積物理をして理学部に現役合格したものです。

私の経験、また周りの意見を総合すると、ずばり「役には立つが合格には必要なし」と言ったところです。

大学入試は、高校での学習指導要領に基づいて作られます。それは東北大学でも同様です。いかなる問題も通常の教科書、問題集を解いておけば解けるように設定されているのです。つまり微積を使った理解をする必要はありません。

私は「物理重要問題集」を使って高2から演習をしていましたが、微積物理を始める前から模試の成績は安定していました。その他にも「名問の森」などでも良いでしょう。

しかしながら、電磁気分野では、公式だけではどうしてもしっくり来ない部分が出てくる可能性があります。そういった場合には2つの対処法があります。

1つ目は「そういうものだ」と受け入れるということです。物理の公式は全て物の性質を表しているので、「そういう性質なんだな〜」と流してあげてください。

それでももやもやすれば、その部分だけインターネットで調べてみて下さい。各大学や学術機関がきっとその分野の説明を「微分積分を用いて」あげてくれています。

もしあなたが大学でも物理を続けるのであれば、高校で微積物理をすることは大いに役立ちます。なぜなら大学の力学や電磁気学=微分方程式を解くことであるからです。多くの理系大学1年生は微分方程式に慣れていないので、かなり苦労しています(京大生でも)。

逆に、物理は高校までと考えられているのであっても、微積物理をすることは後に役立ちます。ほぼ全ての理系大学生は1年生で「微分積分学」を履修します。読んで字のごとく微分と積分をしまくるので、これに慣れておけばスタートダッシュ間違いなしです。

参考までに、私がなぜ微積物理をしていたかを説明します。

第一に私は物理を武器にしたかったからです。英語が得意だったので、もうひとつ安定して点数を稼げる科目が必要だったので、他の人に理解度で差をつけるためにしていました。

また、単純に微積を使った物理は非常に楽しいものだったので辞める理由がありませんでした。いわば「息抜きとしての学問」でした。

結論としまして、「入試で高得点をとるのに微積は必要ないが、大学や内容理解には有益な時がある」ということです。

受験生時代は私も同様に微積すべきかどうか悩みましたが、結局は高得点に必要ないものでしたし、今から慣れ親しんだ公式を手放すリスクは負わなくていいです！

自分を信じて頑張ってください！1d:T138c,こんにちは
最終的に新物理入門まで読んでいたので、新物理入門へ接続するまでのルートを書こうと思います。理論物理の道標のほうは、新物理入門よりも難しそうな印象がありますが、大まかにはレベルは同じくらいかと思うので、どちらの本に接続するにしても、この回答を参考にしていただければと思います。4ステップに分けます。

✅物理の基礎力をつける

物理は基礎を固めないと、そのあとにいくら努力しても砂上の楼閣になります。ここでいう基礎とは、教科書がない状態でも、一つ一つの単元についての解説記事をまっさらな紙に書けるくらいの地力のことを指しています。これができるようになれば、模試で偏差値60を下回ることはまずなくなると思います。前置きが長くなりましたが、以下でおすすめの参考書を説明します。

・教科書、スタサプ
教科書は見にくかったり書き込みにくかったりすることもありますが、その分良い点もあります。それは、教科書にある事実を学んでおけば、確実に学び漏らしがないということです。また、結構イラストも豊富なので、意外と良い参考書になりえます。スタサプは、教科書がわかりづらい時などに傍用するのがおすすめです。

・物理のエッセンス
教科書と同じくらいレベルの市販の本です。問題が結構ついているので、読んで学んでみたことを実際にどうやって使うのかがわかりやすいです。私は教科書が合わなかったので、これを使っていました。

・折戸の独習物理
マイナーですが、かなりわかりやすいです。学校の先生が書いているので、授業を受けている気分でどんどん進められます。物理のエッセンスで端的過ぎた部分の捕捉に読む感じで使っていました。大きめの書店や通販じゃないと手に入れられないのが難点かも？

✅応用的な問題集に取り組んで、実力をつける

このステップまでくれば、旧帝の物理で合格点をとることはできると思います。もっといえば、東大や東工大などの物理が難しいところを受けないのであれば、下記の2ステップはオーバーワークになります。

・重要問題集
学校などで配布されることも多いです。A問題とB問題があって、B問題は入試レベルに片足突っ込んだような少し難しめの問題集です。私はあまり合わず、下の「名問の森」を代用していました。

・名問の森
難しい問題が載っていますが、解説が丁寧なので結構サクサク進められておすすめです。この問題集に載っている問題が解けるようになったら、旧帝の物理は合格点とれると思います。微積物理を使わない場合は、この次に過去問をやるくらいで大丈夫です。

✅微積物理に触れる
当然ですが、微積物理は微積を使うので、まず数3までは履修していることが前提になります。また、結構初めから学ぶにはヘビーな内容なので、5月か6月くらいまでには終わらせておきたい感じです。微積物理をどうしてもやりたい感じであれば、一番上の段階が終わったら、真ん中のレベルを飛ばしてこのステップに移ってもいいかもしれません。

・微積で解いて得する物理
めちゃめちゃおすすめです。三日あれば読めると思いますが、それだけで微積物理がそもそもどういうものなのか、微積を用いる意図や実際にどうやって用いるかがわかります。新物理入門は難しいので、まずこの本でワンクッション挟むのが良いかなと思います。

・新物理入門（＋問題演習）
ここがゴールです。難しいので、一読するだけでも1か月くらいかかると思います。個人的には、全部は読み切れなくても、力学と電磁気だけは読んでおいた方がいいかなという印象でした。大学に入ってから使う人もいるみたいなので、買っておいて損はないはずです。

✅微積物理で問題を解けるようになる

あとは、実際に上記で学んだ方法を用いて問題を解けるようになるだけです。私が使っていた難しめの問題集を名前だけ挙げます。

・標準問題精講
・難問題の系統とその解き方
・東大物理25か年

以上が導入から初めて微積物理まで行けるルートの参考例です。難しいけど、微積を通していろいろなことが繋がるのは面白くおすすめです！頑張ってください🔥1e:T1046,物理が得意ではないと感じていた中で、微積物理に興味を持ち、実際に微積を使って自由落下の問題を解いてみたところ上手くいったとのこと、大変素晴らしい成果だと思います。物理学は、一見すると抽象的で難解に思える部分がありますが、微積分を用いることで物理現象の背後にある本質をより深く理解することができます。気象大の受験のみならず、あらゆる大学を受験するにあたり、微積分を基盤とした物理学の理解は極めて重要です。
私自身も塾の先生や物理が得意な友達に、微積分や複素数を使って解釈するように指導され、物理が得意になり、東大の受験本番でも９割以上の点数を取ることができました。いくつかの具体的なアドバイスをお伝えします。参考になれば幸いです。

【 微分方程式の理解と応用】
物理の多くの分野では、微分方程式を解く能力が不可欠です。例えば、運動方程式  F = ma  は、加速度 a を速度の時間微分として表現することで、
　　F = m dv/dt
となり、さらに速度を位置の時間微分として表現すると、
　　F = m d^2x /dt^2
という二階微分方程式として書き換えられます。このように、物理現象を微分方程式で表現し、それを解くことで、物体の運動やエネルギーの変化を詳細に分析できます。

自由落下の問題において、例えば空気抵抗を考慮すると、抵抗力を速度 vの関数として
　　F = -kv
とモデル化できます。このとき、運動方程式は次のような一次の微分方程式として表現されます。
　　m dv/dt = mg - kv
これは変数分離型の一次微分方程式なので簡単に解くことができ、
　　v = mg{1-exp(-kt/m)}/k 
と解くことができます。このような問題を解くことで、単なる運動だけでなく、力やエネルギーのバランスについても理解が深まります。

【微積物理の応用範囲】
微積分の考え方は、力学だけでなく、電磁気学や波動、熱力学など、多くの分野で必要とされます。特に、電磁気学では次のような微分形式を理解することが重要です。
・電流 　I = dQ/dt
・ファラデーの法則　E = -N dφ/dt

電磁気の問題は特に、立式をして微分方程式を使うだけでほぼ全ての問題を解くことができますので、積極的に微積を利用していきましょう！

【複素インピーダンスの重要性】
電磁気学の理解を深めるには、複素数の知識を活用することも大いに役立ちます。特に、交流回路における複素インピーダンスの概念は重要です。たとえば、インダクタンス L 、電気容量C  が出てくる交流回路の問題って最初は難しく思えますよね。しかし、
　　コイル：R = i ωL　の抵抗
　　コンデンサー：R = -i/ωC　の抵抗　(i：虚数単位、ω：角周波数)
と考えるだけで、文系でも解けるようなただのオームの法則を使うだけの簡単な回路の問題に置き換わります！苦手にする人の多い交流回路の分野ですが、複素インピーダンスを使って得点源にしてしまいましょう！

【 結論】
気象大の試験に限らず、あらゆる大学の受験において、微積物理を深く理解することは極めて有益です。微分方程式の解法や複素インピーダンスの理解を進めることで、物理現象をより正確に解析できるようになります。そして何より、難しい問題を効率よく解くための視点や技術を習得することが可能です。こうした裏技的な知識や手法を活用できることが、合否を分ける要因になる現状なので、利用しない手はありません！しっかりと勉強してライバルと差をつけましょう！心から応援しています！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=0EVUh3EBTqPwDZPu0yeZ","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"微積分を使った物理について"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",6,") 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17:51"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"ありがとうございます！\n早速買おうと思います！！"}]]}]]}],["$","div",null,{"className":"flex py-4","children":[["$","div",null,{"className":"mr-2","children":["$","$L19",null,{"avatarUrl":null,"contributorName":"re:","adviceId":"0EVUh3EBTqPwDZPu0yeZ"}]}],["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"mb-2","children":["$","$L1a",null,{"contributorName":"re:","adviceId":"0EVUh3EBTqPwDZPu0yeZ"}]}],["$","div",null,{"className":"text-xs text-caption","children":"4/17 17:53"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"はじめから物理を微積分を使った方法でまなびましたか？"}]]}]]}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"京大物理　対策"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは、名古屋大学医学部医学科のメイメイといいます。\n自分は実際に物理を微積で理解し、それなりに微積で解いたりしてました。\n\n京大の物理は確かに本質を問うものが多く、単純な暗記では高得点は取りにくいと思います。\n\nもちろん微積を使わずとも、言葉で本質的な理解をしていれば出来なくもないですが、やはり微積・極限などを利用して数式で理解する方が応用されても対応しやすいです。\n\n時間がまだあるならぜひ、微積物理を取り入れてみてください。最初は理解に苦しむかと思いますが、得られるものは大きいです。\n\nそれで独学で微積物理を習得する方法ですが、参考書としては新物理入門を、微積物理を使うための問題集としては新物理入門問題演習がオススメです。\n\nこれらは完全に微積物理での解説をもとにしてます。特に新物理入門は今まで習った公式を、微積(大学レベルのも含まれますが、、なるべく自分で噛み砕いてみてください)で導出しています。\n\n新物理入門問題演習は、新物理入門を読んだ人が理解しているかのチェックに使える問題集です。\n\n新物理入門問題演習自体はそこまで問題量がないので、これが終わって暇なら難系をやるといいと思います。\n\n難系は所々に微積・極限を使用しているのでそれなりに練習になりますし、単純に良問が多いので難関大学の物理対策には一番のスグレモノだと思います。\n\n\nあと個人的にですが、もし過去問演習をするようになったら名大の物理を解いてみてください。京大の物理と形式や難易度が近いので、きっといい練習になります。\n自分は名大志望で京大の物理を解いてました笑\n\n\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"微積物理は難しい？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"すいさん、こんばんは。\n\n確かに物理を学ぶ際に微積を使って学んだ方が良いのではないかと疑問を持つことがありますよね。僕にもありました。しかし、高校では物理の公式を暗記して解くように言われます。ではどうすればいいのでしょう。僕の意見をこれから述べますね。(そもそも微積物理の対比としてのものは公式物理(？)なのかな…)\n\nまず、大学入試で出る物理の問題はどの大学でも必ず微積を使わないでも解けるように作られています。なぜなら全ての高校生が物理を学ぶ際に微積を使うとは限らないからです。ですので、微積物理を習うことは必要不可欠というわけではないのです。\n\nですが、物理という学問を語る上では数学(微分積分ベクトル指数対数三角関数etc…)は切っても切れない関係にあります。大学に行けば物理は必ず数学とセットでやります。つまり、物理の“本質”を理解するためには数学を使って物理を学ぶ必要があります。\n\n物理が苦手な人の多くは、実際に起こる現象を理解していないのだと思います。物理の問題を解く上でどういう現象が起きるのかわからない状態では、まず問題は解けません。物理という学問は現象ありきの理論です。現象を理論で理由づけするのです。\n\nつまり、物理を得意科目にするためには、あらゆる現象の根本的な原理を理解する必要があります。微積物理といっても、「三角関数の微分積分」「合成関数の微分」「置換積分」「ベクトル」などを理解していれば、大学受験で使う微積物理で躓くことはないはずです。\n\n物理が苦手な人に微積物理は厳しいのではないです。物理が苦手な人こそ微積物理を使って根本的なことを理解することに努めるべきです。高校2年生の冬からでも十分間に合います。\n\nただ、どの問題も微積を使って解くことはしなくて大丈夫です。大学受験は決まった時間内でどれだけより多くの点数を稼げるかで合否が決まります。微積物理で1から解くよりも公式を使った方が早いときもありますので、どちらを使うかはケースバイケースです。たくさんの演習をして経験を積んでください。\n\n頑張ってくださいね。\n応援しています📣"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"物理と化学についてです！"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして！やきそばといいます。\n質問について\n①演習量について物理化学それぞれ分けて、\n②微積を用いた物理について、\n回答していきます。\n\n①まず物理ですが、先生の仰る通りテキストを完璧にすることが重要だと思います。物理は定義や基本の原理原則を抑えていないと、どれだけ演習をしても伸びにくい科目です。まずはテキストで原理原則などを理解してみてください。演習は、テキストの復習としてリードαで感覚を掴んだ後、名問の森に移るなどがおすすめですが、微積物理であれば新物理入門問題演習という問題集がおすすめです。\n   次に化学ですが、理論・無機・有機全ての分野で演習量がものを言う科目です。授業の後に基本的な問題集(リードαやセミナーなど)で復習して、重要問題集、そしてそれが8割程度できるようになったら化学の新演習などでたくさんの形式の問題に触れるといいと思います。\n\n②微積物理ですが、一番重要なのは数式の意味を理解すること、です。なぜ運動方程式を積分するとエネルギーの関係式になるのか、なぜモーメントの関係式を積分すると角運動量の関係式になるのか、など意味や理由が分からないと、どの問題でどのような操作をするのか(微分や積分をするのか、しないのか)が分からないのでぜひ理解してください。\n慣れも必要ですが、慣れるためと言って理解を怠って問題演習ばかりしていると、微積を利用する良さが消えてしまうので気をつけてください。私が利用していた新物理入門問題演習には、問題の前に軽く式の関係性が書かれていて非常に良かったのでおすすめです。\n\n他に気になることがあればメッセージ送ってください！\n限りある時間で工夫して勉強頑張ってください、応援してます！\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"名古屋大学医学部への道"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして、名古屋大学医学部のファルコンといいます。\n過去問演習前に解いておくべき参考書ですね。実際に自分がやってたものを挙げてきます。\n\n【数学】\n1体1→新スタ演→教科書だけでは足りない○○シリーズ→やさ理→他の旧帝の数学\n青チャートなどの網羅系問題集は既に済んでいる前提ですが…\nこの流れでやりました。特に名大数学は難易度は高く、医学部だと高得点が必要なので、やさ理などの難問が多い参考書は1つやっとくべきです。\n教科書だけでは〜シリーズは苦手範囲だけやりました。僕の場合整数ですね。やさ理に入る前にやるといいと思います。\nちなみに名大は数3微積、図形と方程式、軌跡と領域、確率漸化式、整数が頻出なので、対策しやすいといえばしやすいです。重点的にやっておくといいと思います。\n\n【英語】\n英単語、熟語、文法はもう済んでる前提です\n透視図→基礎英文問題精講→やっておきたい長文の500.700→基礎長文問題精講→やっておきたい1000→竹岡の英作文→他の旧帝の英語と神戸大英語\n最近の名大は長文読解問題の中で解釈系が少なくなってきたので、基礎英文問題精講はもしかしたら要らないかもしれないです。\n名大英語に近いのが阪大と神戸大かなって思います。(最後の自由英作が神戸は似てる)\n\n【物理】\n新物理入門→名門の森→標準問題精講→難系→新物理入門問題演習→京大物理\n微積で物理やってました。1番得意科目で名大オープン、名大実戦でどちらも物理は1位取りました。標問と難系はオススメです。(難系は例題だけです)あと京大物理は良問が多いのでどの大学志望だとしても解いておくべきものだと思います。決して難易度が高すぎる訳でもないですし。\n名大物理は年によっては日本一の難易度とも呼ばれるので十分に対策しておくべきだと思います。\n\n【化学】\n東進の鎌田の化学→新演習→標準問題精講→駿台の化学特講理論\n化学はややお金かけてしまいましたね…でも東進も駿台もどちらも最高でした。特に化学特講のテキストをやっておけば理論化学は怖いものないです。ぜひ。\n\n【国語】\nセンター対策しかしなかったです。合格者で国語の対策してる人はほとんどいないと思います。"}],["$","div",null,{"className":"flex 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