{"id":379,"date":"2023-11-21T21:32:07","date_gmt":"2023-11-21T21:32:07","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=379"},"modified":"2026-01-12T17:14:28","modified_gmt":"2026-01-12T17:14:28","slug":"math-241-calculus-3-chapter-14","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-241-calculus-3-chapter-14\/","title":{"rendered":"Math 241 Calculus 3 Chapter 14"},"content":{"rendered":"\n
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Section 14.1\u00a0Functions of Several Variables\u00a0<\/a>\u00a0(New Video)
\u00a0\u00a0\u00a0\u00a0Worksheet<\/a> – Functions of Several Variables<\/a><\/p>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n


Section 14.2\u00a0Limits and Continuity in Higher Dimensions<\/a>
\u00a0\u00a0\u00a0\u00a0Worksheet<\/a> – Limits and Continuity in Higher Dimensions<\/a><\/p>\n\n\n\n


Section 14.3\u00a0Partial Derivatives\u00a0<\/a>(NEW VIDEO)
\u00a0\u00a0\u00a0\u00a0Workshee<\/a>t – Partial Derivatives<\/a><\/p>\n\n\n\n


Section 14.4 The Chain Rule<\/a>
    worksheet<\/a> – The Chain Rule<\/a>
    examples for 14.4<\/a> (NEW!)<\/p>\n\n\n\n


Section 14.5\u00a0Directional Derivatives and Gradient Vectors<\/a>
\u00a0\u00a0\u00a0\u00a0examples for 14.5 on gradients<\/a>
\u00a0\u00a0\u00a0\u00a0Worksheet<\/a> – Directional Derivatives and Gradient Vectors<\/a><\/p>\n\n\n\n


Section 14.6 Tangent Planes and Differentials<\/a>
    examples for 14.6 on tangent planes and linearization<\/a>
    worksheet for 14.6<\/a> – Tangent Planes and Differentials<\/a><\/p>\n\n\n\n


Section 14.7 Extreme Values and Saddle Points<\/a>
    examples for 14.7 saddelpoints, local maxs and mins<\/a>
    worksheet for 14.7<\/a> – Extreme Values and Saddle Points<\/a><\/p>\n\n\n\n


Section 14.8 Lagrange Multipliers<\/a>
    examples for 14.8 Lagrange Multipliers<\/a>
    worksheet for 14.8<\/a> – Lagrange Multipliers<\/a><\/p>\n\n\n\n


Section 14.9\u00a0Taylor’s Formula for Two Variables Anna’s video<\/a>\u00a0AND watch\u00a0video on MyMathLab<\/a>
\u00a0\u00a0\u00a0\u00a0Worksheet<\/a> – Taylor’s Formula for Two Variables<\/a><\/p>\n\n\n\n


Section 14.10\u00a0Partial Derivatives and Constrained Variables Anna’s<\/a>\u00a0video AND watch\u00a0video on MyMathLab<\/a>
\u00a0\u00a0\u00a0\u00a0Worksheet<\/a> – Partial Derivatives and Constrained Variables<\/a><\/p>\n\n\n\n

Homework:
Section 14.1    1-29 odds, 37-51 odds
Section 14.2    3-51 multiples of 3
Section 14.3    3-60 multiples of 3
Section 14.4   1, 3, 5, 7, 13, 15, 17, 25-37 odds
Section 14.5    1-27 odds, 35, 36
Section 14.6     1, 3, 5, 6, 7 – 21 odds, 22, 25, 27, 29
Section 14.7     1, 3, 5, 11, 13, 17, 21, 25, 31, 35, 37
Section 14.8    1, 5, 7, 9, 11, 13, 17, 19, 23, 27<\/p>\n\n\n\n

Section 14.9         1, 2, 4, 5, 6, 7, 9
Section 14.10  1- 8 all<\/p>\n\n\n\n

Return to Anna’s MATH 241 page<\/a><\/p>\n\n\n\n

Return to Anna’s home page<\/a><\/p>\n\n\n\n

Return to Kellogg Community College<\/a><\/em><\/p>\n\n\n\n

Questions asked by students<\/p>\n\n\n\n

14.5.35 erivative and direction <\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.5.36 erivative and direction <\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14-8-1 extreme values<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14-8-5 extreme values<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.8.7a extreme values<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.8.7b extreme values<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.8.7b<\/a> greatest area of an rectangle in an ellipse  (I cheated a little here knowing that it was an ellipse that would be centered at the origin so I used just xy for the area taking in mind that would be a fourth of the entire area, if I had multiplied by four it would have just been a constant coefficient and made my numbers a little bigger….) (15th<\/sup> Edition)<\/p>\n\n\n\n

14-8-13 extreme values<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.8.17 minimizing distance to a point<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.8.19 minimum distance to origin<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.8.27 rectangular box with largest volume in a sphere<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.10.4 partial derivatives with constrained variables<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.10.6 partial derivatives with constrained variables<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.10.7 partial derivatives with constrained variables<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

14.10.8 partial derivatives with constrained values<\/a> (15th<\/sup> Edition)<\/p>\n","protected":false},"excerpt":{"rendered":"

Section 14.1\u00a0Functions of Several Variables\u00a0\u00a0(New Video)\u00a0\u00a0\u00a0\u00a0Worksheet – Functions of Several Variables Section 14.2\u00a0Limits and Continuity in Higher Dimensions\u00a0\u00a0\u00a0\u00a0Worksheet – Limits and Continuity in Higher Dimensions Section 14.3\u00a0Partial Derivatives\u00a0(NEW VIDEO) \u00a0\u00a0\u00a0\u00a0Worksheet – Partial Derivatives Section 14.4 The Chain Rule    worksheet – The Chain Rule    examples for 14.4 (NEW!) Section 14.5\u00a0Directional Derivatives and Gradient Vectors\u00a0\u00a0\u00a0\u00a0examples for 14.5 on gradients\u00a0\u00a0\u00a0\u00a0Worksheet – Directional… Continue reading Math 241 Calculus 3 Chapter 14<\/span><\/a><\/p>\n","protected":false},"author":48,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-379","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/379"}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/users\/48"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/comments?post=379"}],"version-history":[{"count":13,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/379\/revisions"}],"predecessor-version":[{"id":1059,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/379\/revisions\/1059"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}