tag:blogger.com,1999:blog-198060132024-03-18T15:11:18.098-07:00Mr B's Math BlogWelcome to a web log for students enrolled in classes taught by Professor Barcellos at American River College. (The opinions expressed herein belong to those who express them and are not official statements of either American River College or the Los Rios Community College District.)Mr Bhttp://www.blogger.com/profile/06746504042862884237noreply@blogger.comBlogger193125tag:blogger.com,1999:blog-19806013.post-15416378266285184222024-02-28T18:31:00.000-08:002024-03-18T15:10:45.974-07:00Math 420 (spring 2024): Quiz solutions III<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqzFrJwDgXNlUfBrRYvZ-V-5EOknJyZYCz4lyq5eP7NkIprgric3B2S66WnD08SD7fLdXEeClkIsIgks_gjHFFLx0w1_zMpAiC5j0bMfPfg4hPpGrfCFlgI_Hrz8LF2vHQJ0Qu0uPnd2fL0VuLVu5wS9C8NXK3VyxDd72sqy9GpKX8j_Zu1lE5/s1618/m420-q13-key-s2024.jpg" style="display: block; padding: 1em 0px; text-align: center;"><img alt="" border="0" data-original-height="1618" data-original-width="1255" height="600" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqzFrJwDgXNlUfBrRYvZ-V-5EOknJyZYCz4lyq5eP7NkIprgric3B2S66WnD08SD7fLdXEeClkIsIgks_gjHFFLx0w1_zMpAiC5j0bMfPfg4hPpGrfCFlgI_Hrz8LF2vHQJ0Qu0uPnd2fL0VuLVu5wS9C8NXK3VyxDd72sqy9GpKX8j_Zu1lE5/s600/m420-q13-key-s2024.jpg" /></a></div>
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<div class="separator" style="clear: both;"><b>The third exercise in Quiz 16 contained a serious typo, so I'm giving everyone full credit for #3 and grading the quiz only on the basis of the first two problems. Rewrite the problem as (<i>D</i> − 5)<sup>3</sup><i>y</i> = 0 if you want to have more fun.<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqt8WOTWJ0OQiCgqZ5QN7kmUw7zWelt10jqQLuY-b7ECEEsK5nD3tM_iC7hTWesSQzaxsoGjUnybxObYKhhBtaKRntVycNMoyxONX34QSjfrBpkqnQ912Qn28IxkX2AeWGP-SaPE5C3SECZ56rT5opeChI8P4iHxO3J1bqfVwQLYpNA3jSrCsS/s1618/m420-q16-key-s2024.jpg" style="display: block; padding: 1em 0px; text-align: center;"><img alt="" border="0" data-original-height="1618" data-original-width="1255" height="600" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqt8WOTWJ0OQiCgqZ5QN7kmUw7zWelt10jqQLuY-b7ECEEsK5nD3tM_iC7hTWesSQzaxsoGjUnybxObYKhhBtaKRntVycNMoyxONX34QSjfrBpkqnQ912Qn28IxkX2AeWGP-SaPE5C3SECZ56rT5opeChI8P4iHxO3J1bqfVwQLYpNA3jSrCsS/s600/m420-q16-key-s2024.jpg" /></a></b></div>
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<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEit5wuWw-51QgQNk3GJyu-zZPF246pb-OQN1zF73f7rPAnj3u0G0Aw26pIhgPC35u25iy1qtB4NTdgPfmusPCX_F0sak3F87lH-dpEWprqF6I6bAlDHtBI292OBr27tQ6Lb_OF08U3DOpDf18cB6XDYdsTYfWPByqIHcJppPghJseJQ-MijVDDi/s1618/m420-q4-key-s2024.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEit5wuWw-51QgQNk3GJyu-zZPF246pb-OQN1zF73f7rPAnj3u0G0Aw26pIhgPC35u25iy1qtB4NTdgPfmusPCX_F0sak3F87lH-dpEWprqF6I6bAlDHtBI292OBr27tQ6Lb_OF08U3DOpDf18cB6XDYdsTYfWPByqIHcJppPghJseJQ-MijVDDi/s600/m420-q4-key-s2024.jpg"/></a></div>Mr Bhttp://www.blogger.com/profile/06746504042862884237noreply@blogger.com0tag:blogger.com,1999:blog-19806013.post-16107195363659621642023-12-20T10:00:00.000-08:002024-01-04T12:59:47.630-08:00Getting a copy of Stroll <p><i></i></p><div class="separator" style="clear: both; text-align: center;"><i><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPoG15Mvv3m2QTaskMeZY9lOpVkvWu5ijXVEdVGB43sBFgLUbklK9hVW7HWN0qWnbH33Ihax1Wh2A04HapscO9SOEsMNhtbrbmq3rlsMsdvt2XirMIl1AZbaRxy-IxJTIfK7Hnfai_WrIxxqqXUIr9zJ4KPuOhbEhxRO_SlwlJR1_Vus0F6w/s2048/ASTC-f2019-studentvalueedition.jpg" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" data-original-height="1547" data-original-width="2048" height="231" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPoG15Mvv3m2QTaskMeZY9lOpVkvWu5ijXVEdVGB43sBFgLUbklK9hVW7HWN0qWnbH33Ihax1Wh2A04HapscO9SOEsMNhtbrbmq3rlsMsdvt2XirMIl1AZbaRxy-IxJTIfK7Hnfai_WrIxxqqXUIr9zJ4KPuOhbEhxRO_SlwlJR1_Vus0F6w/w305-h231/ASTC-f2019-studentvalueedition.jpg" width="305" /></a></i></div><i>A Stroll through Calculus</i> covers many of the concepts of calculus in an informal way with little more than intermediate algebra (and later, some trig). It's an attempt to help people understand what's going on without intimidating proofs or formalities, because the basic notions of calculus are both straightforward and elegant. <br /><br />Anyone who wants to obtain a copy of <i>A Stroll through Calculus</i> can use this direct link to the publisher:<div><br /><a href="https://store.cognella.com/25177">https://store.cognella.com/25177</a><div><br /></div><div>If you need any help with ordering from Cognella, feel free to email orders@cognella.com or call 800.200.3908 ext. 503.<br /><br /><i>Stroll</i> is listed as a required textbook on ARC's online Follett bookstore pages for Math 402 and Math 499, but copies will be on reserve in the library so you don't have to purchase a copy. If you choose to buy a copy, you will get a better price from Cognella than from Follett (or Amazon), so use the provided Cognella link.<p></p></div></div>Mr Bhttp://www.blogger.com/profile/06746504042862884237noreply@blogger.com0tag:blogger.com,1999:blog-19806013.post-80559534213240057412023-07-24T08:00:00.000-07:002023-07-27T07:44:06.306-07:00Learn about Calculus<b>With minimal number-crunching!</b>
<br><br>
American River College is offering Math 499 for fall semester 2023, a five-unit class on MWF mornings that explains what calculus is, and what calculus does, with an emphasis on the fundamental concepts and a de-emphasis on the technical details and computations. Anyone who can handle basic algebra (<i>e.g.</i>, collecting like terms and finding points on an <i>xy</i> grid) should find the material accessible and comprehensible. More information is readily available from instructor Anthony Barcellos at barcela@arc.losrios.edu. See reviews of the textbook and other features at this <a href="http://astrollthroughcalculus.com/reviews.html" target="_blank">link</a>.
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuZ3wHFxXCAwxDEEPtqqcMbzVwfb2z8pYzHRDRcXHzGRGN9_A8-JvlWL58H2uWp2jPPO75N_NuvWnkncojFEskF43DIzs_paYdCDobvIZbhS6EZu5Wo3-7NkKZ0yMvy4B4uYWbs0pa_2yOmnFweEp2IqfHHkt-3DHIONZL9CRczwhJxK35nQ/s5100/Math%20499%20poster.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="5100" data-original-width="3300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuZ3wHFxXCAwxDEEPtqqcMbzVwfb2z8pYzHRDRcXHzGRGN9_A8-JvlWL58H2uWp2jPPO75N_NuvWnkncojFEskF43DIzs_paYdCDobvIZbhS6EZu5Wo3-7NkKZ0yMvy4B4uYWbs0pa_2yOmnFweEp2IqfHHkt-3DHIONZL9CRczwhJxK35nQ/s600/Math%20499%20poster.png"/></a></div>Mr Bhttp://www.blogger.com/profile/06746504042862884237noreply@blogger.com0tag:blogger.com,1999:blog-19806013.post-34104375631165851132022-12-03T15:30:00.002-08:002022-12-03T15:53:25.288-08:00Math 333 (fall 2022): Exam 5<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxpX-KN0JVOxD6uAC-XrW68sc87p24sDq89lrU9L3pNWAhIDo_YFV2_gtyNdsaqRn8Z_Vfq0hPNAT6h9BMoV4SxhJKrtx3Ds840IBRhrkLq_qKaObc5RApKITEEfpUwuTuhqGHwTZNfqkm5lM7W7_UtiNR8s-MGrd2jtW9V_7ZzNISWon_fg/s1618/m333-5a-key-f2022.jpg" style="display: block; 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padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOz_5qqbLP7_iiffJAgg0wQJVEuiTeFNIdWYHZYTsmeDFJpUp4UouGsixSCrq72W2viDA0VcJX0EyQttpOw9Z1MXSPnMPYDyduUEICyOeCRK1v7CgTmW6iHwP-wdiyHGD4Ko1uae89KN6Pjbh9gcXPI2aJaxEm2UPGygTuDonwtyN3usdzfA/s600/m333-5e-key-f2022.jpg"/></a></div>Mr Bhttp://www.blogger.com/profile/06746504042862884237noreply@blogger.com0tag:blogger.com,1999:blog-19806013.post-66115681125935292012022-11-14T17:00:00.011-08:002022-12-07T20:57:26.179-08:00Math 333 (fall 2022): Quiz solutions V<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjJkskTv-7z4tC7BADR-UmaYdEHbQ6PW47bMfA_peIFCsUU30aZFqm-BR0SnVTnVwRcuTMo1bsYyxAyJbtooX_Jdkc7YnFCl7Z-0F-7GT2wHc2xI_-CnjM4cxRWwI-Ie9SCoaySPYc66nAMjzkR5GHQKmAtA-_tj_Xno-Jj3zdE6TIs3TK8Zw/s1618/m333-q34-key-f2022.jpg" style="display: block; padding: 1em 0; 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<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnxLWIrdyJ9mjWuSz0Q1YoSAnFAcOkJmRl1vpxU52oSXYfLDNrXAh4Ldxmvi07APJSvs3QEVioPSkG8k-acPUqBzdDf572rwizquqjil69oI4q22o7hLLdKlu1RzYQ_82L8thLgNtiNxS73iT975tDbX_2OqHcMNmX5yOxbObWCdKG2xe-AQ/s1618/m100-q36-key-s2022.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnxLWIrdyJ9mjWuSz0Q1YoSAnFAcOkJmRl1vpxU52oSXYfLDNrXAh4Ldxmvi07APJSvs3QEVioPSkG8k-acPUqBzdDf572rwizquqjil69oI4q22o7hLLdKlu1RzYQ_82L8thLgNtiNxS73iT975tDbX_2OqHcMNmX5yOxbObWCdKG2xe-AQ/s600/m100-q36-key-s2022.jpg"/></a></div>Mr Bhttp://www.blogger.com/profile/06746504042862884237noreply@blogger.com0tag:blogger.com,1999:blog-19806013.post-44743889056688544412022-04-18T18:00:00.002-07:002022-05-01T18:04:03.961-07:00<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjzuKLm1hR04Ev23Fx-B1UbFzZgjrOcBwncsxOjWVrBcnsBcmUn514QCEfwFAA-z06hlaM2123UJCJawKQLpFO57kaXBNEL9kPUtcVqTmOmIigpW5PRlf1qs3HfxKwE4oQKJBDhjYtkt_mjYMvEevuJPLCr5yUO7LGPuQHqmL8Jsowfxjk3Q/s1618/m100-4a-key-s2022.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjzuKLm1hR04Ev23Fx-B1UbFzZgjrOcBwncsxOjWVrBcnsBcmUn514QCEfwFAA-z06hlaM2123UJCJawKQLpFO57kaXBNEL9kPUtcVqTmOmIigpW5PRlf1qs3HfxKwE4oQKJBDhjYtkt_mjYMvEevuJPLCr5yUO7LGPuQHqmL8Jsowfxjk3Q/s600/m100-4a-key-s2022.jpg"/></a></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg56idwGQV5RnnYGCRl3hytA2WL2xo_6FWGNL9Y8vcdQXEC7pXt6EWGzwQvsx31j4Urj3o0OctA81BqAJTcUG5MGgVlD6arF2OytBITf-O4AXWrvJu2qGeWvurQDPNONZjgySvUOM3hqSkNC7jtiUjlv4PJ8hyMpo61wn7Jw7vo9LcXJIi0wA/s1618/m100-4b-key-s2022.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg56idwGQV5RnnYGCRl3hytA2WL2xo_6FWGNL9Y8vcdQXEC7pXt6EWGzwQvsx31j4Urj3o0OctA81BqAJTcUG5MGgVlD6arF2OytBITf-O4AXWrvJu2qGeWvurQDPNONZjgySvUOM3hqSkNC7jtiUjlv4PJ8hyMpo61wn7Jw7vo9LcXJIi0wA/s600/m100-4b-key-s2022.jpg"/></a></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC1faqZ1Jt3v2_sC_Nf5g-1GQQ-BhIO75MOWDr63VkGCL04H4mG4qmDWh0YO3fbn9dUOOIDeRNFpBQnoDZMw_Y1lH8i2i4pgVP8wvohUzNz8Ghb89p6OJRLjzHtHHGaQsa8PZ_gbu3kkfZG0i1rAlRf8d7UoEeNomv-2g0LUV-f6uA3P1Tag/s1618/m100-4c-key-s2022.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC1faqZ1Jt3v2_sC_Nf5g-1GQQ-BhIO75MOWDr63VkGCL04H4mG4qmDWh0YO3fbn9dUOOIDeRNFpBQnoDZMw_Y1lH8i2i4pgVP8wvohUzNz8Ghb89p6OJRLjzHtHHGaQsa8PZ_gbu3kkfZG0i1rAlRf8d7UoEeNomv-2g0LUV-f6uA3P1Tag/s600/m100-4c-key-s2022.jpg"/></a></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHyD3PkuObSn0fOp9kM3WeUdsyA33eaoDQeh13i_fKtOhl_ub3AtPgRgrCXC94P0TwIx86aX7UXdyx_TyXuxWue7abfx0L0K67HTM9gWBl9aos2iT5xOisGUJyZogn0Wf2u0UBgFgiBoSmdR1NJMsMDjem_T8w85O69FP6idYhpmbGL6I63A/s1618/m100-4d-key-s2022.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHyD3PkuObSn0fOp9kM3WeUdsyA33eaoDQeh13i_fKtOhl_ub3AtPgRgrCXC94P0TwIx86aX7UXdyx_TyXuxWue7abfx0L0K67HTM9gWBl9aos2iT5xOisGUJyZogn0Wf2u0UBgFgiBoSmdR1NJMsMDjem_T8w85O69FP6idYhpmbGL6I63A/s600/m100-4d-key-s2022.jpg"/></a></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizuCa4lezZ7HqjLFkdT2ekcHUCJNBCVCbgSjMFrxLTeJI6nBYSW0g04ShJfIDvlqnvj4Jo_pWC6sBcvCnXNHVYE5lBjqP7bTs8nQpQgmhnit46WgxtH9kTyP0Sm88JxF6u0cIyv79ds1MeGbuDkqUujuW87kXx3okIdMWdwXDcvDLE2djVJQ/s1618/m100-4e-key-s2022.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" height="600" data-original-height="1618" data-original-width="1255" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizuCa4lezZ7HqjLFkdT2ekcHUCJNBCVCbgSjMFrxLTeJI6nBYSW0g04ShJfIDvlqnvj4Jo_pWC6sBcvCnXNHVYE5lBjqP7bTs8nQpQgmhnit46WgxtH9kTyP0Sm88JxF6u0cIyv79ds1MeGbuDkqUujuW87kXx3okIdMWdwXDcvDLE2djVJQ/s600/m100-4e-key-s2022.jpg"/></a></div>Mr Bhttp://www.blogger.com/profile/06746504042862884237noreply@blogger.com0