{"id":919,"date":"2021-08-09T08:52:50","date_gmt":"2021-08-09T12:52:50","guid":{"rendered":"http:\/\/advancedmathyoungstudents.com\/blog\/?p=919"},"modified":"2023-05-16T08:51:25","modified_gmt":"2023-05-16T12:51:25","slug":"enough-calculus-to-get-started","status":"publish","type":"post","link":"https:\/\/advancedmathyoungstudents.com\/blog\/?p=919","title":{"rendered":"Enough Calculus to Get Started"},"content":{"rendered":"

A brief\u00a0 introduction for AP Physics C Students<\/strong><\/p>\n

And anyone else who wants an overview of what we do when we “do calculus”<\/strong><\/p>\n

AP Physics C is a calculus-based course.\u00a0 At my school, calculus is a co-requisite.\u00a0 It would be good if we could use the language of calculus right from the start.\u00a0 But most of the students have only seen a little calculus so far (or none at all).\u00a0 So over the last few years, I have written these blog posts to try to get them off to a running start.\u00a0\u00a0<\/em><\/strong><\/p>\n

Also, while it was not my intention, I think these posts would help anyone heading into their first calculus class to get an advance overview of what lies ahead.<\/p>\n

Note to my students:\u00a0 For some of you, most of this will be a review – but definitely not all of it!\u00a0 But for others, this will all be new. Just take your time, read slowly, and feel free to ask lots of questions — you can save them for September or email me as you think of them! Or post them in our Google Classroom (which is already open).<\/p>\n

One other note:\u00a0 we will be talking a lot about rotational physics this year.\u00a0 It would be helpful to have a clear understanding of radian measure.\u00a0 If you feel at all shaky, you should review these two posts: \u00a0<\/span>Angle Measurement for Pizza Crust Lovers<\/a>\u00a0and\u00a0<\/span>That Radian Feeling<\/a>.<\/span><\/p>\n

I hope you have a relaxing summer and that you are looking forward to another year of interesting physics.<\/p>\n

— Mr. K<\/p>\n\n\n

<\/td> POST <\/td>  TOPIC <\/td><\/tr>
1<\/td> Hairy Questions <\/a><\/td> Slope and Rate of Change <\/td><\/tr>
2<\/td> Even Hairier<\/a> <\/td> Acceleration <\/td><\/tr>
3<\/td> Velocity NOW!<\/a> <\/td> Instantaneous Rate of Change <\/td><\/tr>
4<\/td> Slope-Finding Functions<\/a> <\/td> What a derivative tells us <\/td><\/tr>
5<\/td> Derivatives: The Building Blocks<\/a> <\/td> Some often-used derivatives <\/td><\/tr>
6<\/td> Derivatives: Combining Functions<\/a> <\/td> Sums, differences, and more <\/td><\/tr>
7<\/td> Simple Version of the Chain Rule<\/a> <\/td>Composition of Functions <\/td><\/tr>
8<\/td> Making the Best of Things<\/a> <\/td>Optimization<\/td><\/tr>
9<\/td> Exponential Decay – Part 1<\/a> <\/td> 1st Order Diff. Eqs. <\/td><\/tr>
10<\/td>Exponential Decay – Part 2 <\/a> <\/td> Understanding time constants *<\/td><\/tr>
11<\/td> A Magical Theorem, Part I<\/a> <\/td> Anti-derivatives vs. Areas <\/td><\/tr>
12<\/td>  A Magical Theorem, Part II<\/a> <\/td> Areas via Anti-derivatives <\/td><\/tr>
13<\/td>Part III: Areas the Hard Way<\/a><\/td>Riemann Rectangles<\/td><\/tr>
14<\/td>Part IV: Areas in Physics<\/a><\/td>“Area” under a graph<\/td><\/tr>
15<\/td>Part V: Adding Up the Pieces<\/a><\/td>Applying the Magic Theorem<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

*This post is optional. It’s a really interesting way to think about decay and time constants, but I have to admit it is a bit of a nerdy digression. <\/p>\n","protected":false},"excerpt":{"rendered":"

A brief\u00a0 introduction for AP Physics C Students And anyone else who wants an overview of what we do when we “do calculus” AP Physics C is a calculus-based course.\u00a0 At my school, calculus is a co-requisite.\u00a0 It would be … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false},"categories":[1],"tags":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4uvY7-eP","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/919"}],"collection":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=919"}],"version-history":[{"count":17,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/919\/revisions"}],"predecessor-version":[{"id":16160,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/919\/revisions\/16160"}],"wp:attachment":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=919"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=919"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}