{"id":4168,"date":"2022-04-14T18:35:31","date_gmt":"2022-04-14T18:35:31","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-sets\/"},"modified":"2022-07-05T18:59:10","modified_gmt":"2022-07-05T18:59:10","slug":"problem-sets","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-sets\/","title":{"raw":"Problem Sets","rendered":"Problem Sets"},"content":{"raw":"<h3><img class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/06\/01221948\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\"><\/h3>\r\n<span style=\"color: #333333;\">This course contains problem sets that accompany each section and module. In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.<\/span>\r\n\r\nAnswers are only available to the problems with \"Show Solution\" links below the question prompt.\r\n<h2>Module 1: Parametric Equations and Polar Coordinates<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/parametric-equations-2\/\">Problem Set: Parametric Equations<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/calculus-of-parametric-curves-2\/\">Problem Set: Calculus of Parametric Curves<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/polar-coordinates-2\/\">Problem Set: Polar Coordinates<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/area-and-arc-length-in-polar-coordinates-2\/\">Problem Set: Area and Arc Length in Polar Coordinates<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/conic-sections-2\/\">Problem Set: Conic Sections<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-1-review-problems\/\">Module 1 Review Problems<\/a><\/li>\r\n<\/ul>\r\n<h2>Module 2: Vectors in Space<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vectors-in-the-plane\/\">Problem Set: Vectors in the Planes<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vectors-in-three-dimensions\/\">Problem Set: Vectors in Three Dimensions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-dot-product\/\">Problem Set: The Dot Product<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-cross-product\/\">Problem Set: The Cross Product<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-equations-of-lines-and-planes-in-space\/\">Problem Set: Equations of Lines and Planes in Space<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-quadric-surfaces\/\">Problem Set: Quadric Surfaces<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-cylindrical-and-spherical-coordinates\/\">Problem Set: Cylindrical and Spherical Coordinates<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-2-review-problems\/\">Module 2 Review Problems<\/a><\/li>\r\n \t<li style=\"list-style-type: none;\"><\/li>\r\n<\/ul>\r\n<h2>Module 3: Vector-Valued Functions<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vector-valued-functions-and-space-curves\/\">Problem Set: Vector-Valued Functions and Space Curves<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-calculus-of-vector-valued-functions\/\">Problem Set: Calculus of Vector-Valued Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-arc-length-and-curvature\/\">Problem Set: Arc Length and Curvature<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-motion-in-space\/\">Problem Set: Motion in Space<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-3-review-problems\/\">Module 3 Review Problems<\/a><\/li>\r\n \t<li style=\"list-style-type: none;\"><\/li>\r\n<\/ul>\r\n<h2>Module 4: Differentiation of Functions of Several Variables<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-functions-of-several-variables\/\">Problem Set: Functions of Several Variables<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-limits-and-continuity\/\">Problem Set: Limits and Continuity<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-partial-derivatives\/\">Problem Set: Partial Derivatives<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-tangent-planes-and-linear-approximations\/\">Problem Set: Tangent Planes and Linear Approximations<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-chain-rule\/\">Problem Set: The Chain Rule<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-directional-derivatives-and-the-gradient\/\">Problem Set: Directional Derivatives and the Gradient<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-maxima-minima-problems\/\">Problem Set: Maxima\/Minima Problems<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-lagrange-multipliers\/\">Problem Set: Lagrange Multipliers<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-4-review-problems\/\">Module 4 Review Problems<\/a><\/li>\r\n \t<li style=\"list-style-type: none;\"><\/li>\r\n<\/ul>\r\n<h2>Module 5: Multiple Integration<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-double-integrals-over-rectangular-regions\/\">Problem Set: Double Integrals over Rectangular Regions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-double-integrals-over-general-regions\/\">Problem Set: Double Integrals over General Regions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-double-integrals-in-polar-coordinates\/\">Problem Set: Double Integrals in Polar Coordinates<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-triple-integrals\/\">Problem Set: Triple Integrals<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-triple-integrals-in-cylindrical-and-spherical-coordinates\/\">Problem Set: Triple Integrals in Cylindrical and Spherical Coordinates<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-calculating-centers-of-mass-and-moments-of-inertia\/\">Problem Set: Calculating Centers of Mass and Moments of Inertia<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-change-of-variables-in-multiple-integrals\/\">Problem Set: Change of Variables in Multiple Integrals<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-5-review-problems\/\">Module 5 Review Problems<\/a><\/li>\r\n \t<li style=\"list-style-type: none;\"><\/li>\r\n<\/ul>\r\n<h2>Module 6: Vector Calculus<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vector-fields\/\">Problem Set: Vector Fields<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-line-integrals\/\">Problem Set: Line Integrals<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-conservative-vector-fields\/\">Problem Set: Conservative Vector Fields<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-greens-theorem\/\">Problem Set: Green\u2019s Theorem<\/a><\/li>\r\n\t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-divergence-and-curl\/\">Problem Set: Divergence and Curl<\/a><\/li>\r\n\t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-surface-integrals\/\">Problem Set: Surface Integrals<\/a><\/li>\r\n\t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-stokes-theorem\/\">Problem Set: Stokes\u2019 Theorem<\/a><\/li>\r\n\t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-divergence-theorem\/\">Problem Set: The Divergence Theorem<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-6-review-problems\/\">Module 6 Review Problems<\/a><\/li>\r\n \t<li style=\"list-style-type: none;\"><\/li>\r\n<\/ul>\r\n<h2>Module 7: Second-Order Differential Equations<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-second-order-linear-equations\/\">Problem Set: Second-Order Linear Equations<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-nonhomogeneous-linear-equations\/\">Problem Set: Nonhomogeneous Linear Equations<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-applications\/\">Problem Set: Applications<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-series-solutions-of-differential-equations\/\">Problem Set: Series Solutions of Differential Equations<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-7-review-problems\/\">Module 7 Review Problems<\/a><\/li>\r\n \t<li style=\"list-style-type: none;\"><\/li>\r\n<\/ul>\r\n","rendered":"<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/06\/01221948\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\" \/><\/h3>\n<p><span style=\"color: #333333;\">This course contains problem sets that accompany each section and module. In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.<\/span><\/p>\n<p>Answers are only available to the problems with &#8220;Show Solution&#8221; links below the question prompt.<\/p>\n<h2>Module 1: Parametric Equations and Polar Coordinates<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/parametric-equations-2\/\">Problem Set: Parametric Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/calculus-of-parametric-curves-2\/\">Problem Set: Calculus of Parametric Curves<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/polar-coordinates-2\/\">Problem Set: Polar Coordinates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/area-and-arc-length-in-polar-coordinates-2\/\">Problem Set: Area and Arc Length in Polar Coordinates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/conic-sections-2\/\">Problem Set: Conic Sections<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-1-review-problems\/\">Module 1 Review Problems<\/a><\/li>\n<\/ul>\n<h2>Module 2: Vectors in Space<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vectors-in-the-plane\/\">Problem Set: Vectors in the Planes<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vectors-in-three-dimensions\/\">Problem Set: Vectors in Three Dimensions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-dot-product\/\">Problem Set: The Dot Product<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-cross-product\/\">Problem Set: The Cross Product<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-equations-of-lines-and-planes-in-space\/\">Problem Set: Equations of Lines and Planes in Space<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-quadric-surfaces\/\">Problem Set: Quadric Surfaces<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-cylindrical-and-spherical-coordinates\/\">Problem Set: Cylindrical and Spherical Coordinates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-2-review-problems\/\">Module 2 Review Problems<\/a><\/li>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n<h2>Module 3: Vector-Valued Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vector-valued-functions-and-space-curves\/\">Problem Set: Vector-Valued Functions and Space Curves<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-calculus-of-vector-valued-functions\/\">Problem Set: Calculus of Vector-Valued Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-arc-length-and-curvature\/\">Problem Set: Arc Length and Curvature<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-motion-in-space\/\">Problem Set: Motion in Space<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-3-review-problems\/\">Module 3 Review Problems<\/a><\/li>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n<h2>Module 4: Differentiation of Functions of Several Variables<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-functions-of-several-variables\/\">Problem Set: Functions of Several Variables<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-limits-and-continuity\/\">Problem Set: Limits and Continuity<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-partial-derivatives\/\">Problem Set: Partial Derivatives<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-tangent-planes-and-linear-approximations\/\">Problem Set: Tangent Planes and Linear Approximations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-chain-rule\/\">Problem Set: The Chain Rule<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-directional-derivatives-and-the-gradient\/\">Problem Set: Directional Derivatives and the Gradient<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-maxima-minima-problems\/\">Problem Set: Maxima\/Minima Problems<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-lagrange-multipliers\/\">Problem Set: Lagrange Multipliers<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-4-review-problems\/\">Module 4 Review Problems<\/a><\/li>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n<h2>Module 5: Multiple Integration<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-double-integrals-over-rectangular-regions\/\">Problem Set: Double Integrals over Rectangular Regions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-double-integrals-over-general-regions\/\">Problem Set: Double Integrals over General Regions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-double-integrals-in-polar-coordinates\/\">Problem Set: Double Integrals in Polar Coordinates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-triple-integrals\/\">Problem Set: Triple Integrals<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-triple-integrals-in-cylindrical-and-spherical-coordinates\/\">Problem Set: Triple Integrals in Cylindrical and Spherical Coordinates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-calculating-centers-of-mass-and-moments-of-inertia\/\">Problem Set: Calculating Centers of Mass and Moments of Inertia<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-change-of-variables-in-multiple-integrals\/\">Problem Set: Change of Variables in Multiple Integrals<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-5-review-problems\/\">Module 5 Review Problems<\/a><\/li>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n<h2>Module 6: Vector Calculus<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-vector-fields\/\">Problem Set: Vector Fields<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-line-integrals\/\">Problem Set: Line Integrals<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-conservative-vector-fields\/\">Problem Set: Conservative Vector Fields<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-greens-theorem\/\">Problem Set: Green\u2019s Theorem<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-divergence-and-curl\/\">Problem Set: Divergence and Curl<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-surface-integrals\/\">Problem Set: Surface Integrals<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-stokes-theorem\/\">Problem Set: Stokes\u2019 Theorem<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-the-divergence-theorem\/\">Problem Set: The Divergence Theorem<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-6-review-problems\/\">Module 6 Review Problems<\/a><\/li>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n<h2>Module 7: Second-Order Differential Equations<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-second-order-linear-equations\/\">Problem Set: Second-Order Linear Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-nonhomogeneous-linear-equations\/\">Problem Set: Nonhomogeneous Linear Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-applications\/\">Problem Set: Applications<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/problem-set-series-solutions-of-differential-equations\/\">Problem Set: Series Solutions of Differential Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/module-7-review-problems\/\">Module 7 Review Problems<\/a><\/li>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-4168\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Problem Sets. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Puzzle Pieces. <strong>Authored by<\/strong>: LAFS. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/\">https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":349141,"menu_order":6,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Problem Sets\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Puzzle Pieces\",\"author\":\"LAFS\",\"organization\":\"Noun 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