{"id":2833,"date":"2025-12-18T14:28:51","date_gmt":"2025-12-18T14:28:51","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/calculus3\/?post_type=chapter&#038;p=2833"},"modified":"2026-09-09T21:03:41","modified_gmt":"2026-09-09T21:03:41","slug":"teaching-resources","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/teaching-resources\/","title":{"raw":"Teaching Resources","rendered":"Teaching Resources"},"content":{"raw":"<p style=\"text-align: center;\"><img class=\"wp-image-5715 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/10\/02185338\/Learning-languages-pana-1024x1024.png\" alt=\"\" width=\"156\" height=\"160\" \/><a id=\"top\"><\/a>This page provides aligned teaching materials for Calculus II, including detailed instructor guides and instructional presentation slides. Each resource is built around Lumen\u2019s framework for Evidence-Based Teaching Practices, with the goal of supporting an active, engaged, and connected classroom \u2014 while also making your job easier.<\/p>\r\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>:\u00a0 <a class=\"anchorLink\" href=\"#syllabus\">Course Information<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <a class=\"anchorLink\" href=\"#guides\">Instructor Guides<\/a> <span style=\"color: #800080;\"><strong>| <\/strong> <a class=\"anchorLink\" href=\"#powerpoint\">Slide Decks<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|\u00a0<\/strong><strong>\r\n<\/strong><a class=\"anchorLink\" href=\"#practice\">Practice Problems + Keys<\/a> <\/span><span style=\"color: #800080;\"><strong>| <\/strong><\/span><a class=\"anchorLink\" href=\"#discussions\">Discussions, Writing Tasks, and AI Activities<\/a> <span style=\"color: #800080;\"><strong>|<\/strong><\/span><\/p>\r\n\r\n<section class=\"textbox proTip\" aria-label=\"Pro Tip\">Lumen provides files in either PDF or Google formats depending on its primary use case. PDFs will either pull up in your browser or download onto your computer. To edit Google files, you will need to make your own copy. If you are signed into your own Google Drive account, click the file link, then click the \u201cFile\u201d dropdown menu, and click \u201cMake a copy.\u201d If you do not have a Google account, click the file link, then click the \u201cFile\u201d dropdown menu, and select \u201cDownload\u201d in your preferred file format.<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"syllabus\"><\/a>Course Information<\/h3>\r\nYou may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.\r\n<ul>\r\n \t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1cxvjaComlVUWiDBVwbi9-_ubBLOIEwze4WLBz0p68UY\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Topic List for Calculus III<\/a><\/li>\r\n \t<li><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1QSxjGdBlWilQ4bMkIc-rJom7RhEhXjcXDnEAauZHBjY\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Calculus III: Detailed Learning Outcomes<\/a><\/li>\r\n<\/ul>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"guides\"><\/a>Instructor Guides<\/h3>\r\nInstructor Guides are provided for each module to support active learning, conceptual investigation, and collaboration. Each guide includes an overview of the module content, a summary of what students encounter in key sections, and a list of learning outcomes. You\u2019ll also find engaging classroom activities with accompanying materials such as handouts and worksheets. Activities come with a suggested instructional plan, alignment to evidence-based teaching practices, discussion prompts, and an online variation that can be integrated into your LMS for hybrid or asynchronous classes.\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1j5xSAO7Yj2Im4k6NLTz-DPty09vL3WOUgBnCMvF4WME\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Module 1: Parametric Curves and Their Applications Instructor Guide<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1fBsatMrgp004S8kaUBzoyDZBc3hKmyoAhm_i1yzzq0c\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2: Polar Coordinates and Conic Sections Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-1e-3vsc1FDJFg80LLDZVIkSZhN0lpG2kCnxVTTg2Ro\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 3: Foundations of Vectors and 3D Space Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/12ogXpWCjlt-CSmPcGxinYciuVQwo6kpquwkGAfVpPPE\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 4: Advanced Vector Operations and Applications Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1Dpouo8CAPAo51r8DJyYxj7-NqtS4f1fbzqk7YTonFzw\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 5: Vector-Valued Functions and Motion Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1JxGqu6US140SZ302f32ADl88wKhkez6QSVrVGTo0Ek0\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 6: Introduction to Multivariable Functions Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1LCF1gVcbOEKmDu-fhWdTGhvPO63Yusx__X3nocFnhx0\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 7: Advanced Partial Derivatives Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1V_-Rn1jIb416585lk6kpomKeuw0NqfK-E02jjqSvrtQ\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 8: Optimization and Applications Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1dOR9z1Wzguu-CrqVgjXhVb1fanVfDgcFI29_cQlXeEk\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 9: Double Integration and Applications Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1eDESFoJnBWE4kL-Cb8MY44Ihzgno8d299tLuWWD3X7I\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 10: Triple Integration and Applications Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1eNKlXkfnULdLYoCKWi-AMx8vHqwPLyBok8CXR5BANA4\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 11: Vector Calculus and Vector Fields Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1f73jw250X7xhys2123xp47sehGZSMmuGhuzl9ApDPcU\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 12: Advanced Vector Calculus Instructor Guide<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jqNqN4MHhA_1TgVd3c9zm5gNF8kPLVZFUHTA5RRh1jk\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 13: Second-Order Differential Equations Instructor Guide<\/span><\/a><\/p>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"powerpoint\"><\/a>Presentation Slide Decks<\/h3>\r\nYou can download a PPT or make a copy and customize these Google Slide decks to serve as a visual guide and companion to each suggested lesson. They include student-friendly learning outcomes, sample class affirmations, ideas for engagement and details for each activity.\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1G8Im0yXzWWRK9BH42ptX5nwHDV-BL9mgR_5zrVEMiN0\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Module 1: Parametric Curves and Their Applications<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1omxUvig_0x8WnXz9aVh5T2RNmdvIMJLp-Xr750vknNI\/edit?usp=sharing\">Module 2: Polar Coordinates and Conic Sections<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1OlloloM2wJlaOIFczhSLBPPuTP70TPuJ6W69gOI-4Kc\/edit?usp=sharing\">Module 3: Foundations of Vectors and 3D Space<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/16eA77syn4FTMONLFqtRdN85eR8-lL3gmBICPVGqIXDE\/edit?usp=sharing\">Module 4: Advanced Vector Operations and Applications<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1gOkySLwpDVbGmaM4LsiyzWP2-Bd3gk5Yz_AvMt_ImCk\/edit?usp=sharing\">Module 5: Vector-Valued Functions and Motion<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1bXA-TooCnCjlwB16L7AKNl3oMlh9hlmnSHnf12WGHJE\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 6: Introduction to Multivariable Functions<\/span><\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1DgwPsHjatotNaSZVXGD38brCP9wqiMfbQZ-dGVk6A9k\/edit?usp=sharing\">Module 7: Advanced Partial Derivatives<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1JKuTcvao_uiJ_IJ_KnxdLpBsdKnbITs58ORiW50Jxqs\/edit?usp=sharing\">Module 8: Optimization and Applications<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1fMls6hmbAEJeajUBfOhquMlgcu5sSX8sNb-Yfkz2aUI\/edit?usp=sharing\">Module 9: Double Integration and Applications<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1-I4ukP5un0syjeBDnzXANHPP7LlEDs54SyKeAfDgBIA\/edit?usp=sharing\">Module 10: Triple Integration and Applications<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/13ePMJsBiJBNpT5jJyoq9CR6p9Q-sNO7hR9XT3heDwCE\/edit?usp=sharing\">Module 11: Vector Calculus and Vector Fields<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1Y8xB2Xg6o1oUS662Uvfc4QQvP5EUpHrRLW5nI5zx5qI\/edit?usp=sharing\">Module 12: Advanced Vector Calculus<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1YrzQrnTY98MP4Iygg3QvQhDBUqcKfApmyOrRfQzUMaw\/edit?usp=sharing\">Module 13: Second-Order Differential Equations<\/a><\/p>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\">Get Stronger Practice Problems<\/h3>\r\nModule 1 Parametric Curves and Their Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/parametric-curves-and-their-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/parametric-curves-and-their-applications-get-stronger-answer-key-2\/\">Answer Key\r\n<\/a>\r\n\r\n<span data-sheets-root=\"1\">Module 2 Polar Coordinates and Conic Sections: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/polar-coordinates-and-conic-sections-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/polar-coordinates-and-conic-sections-get-stronger-answer-key-2\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 3 Foundations of Vectors and 3D Space: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/foundations-of-vectors-and-3d-space-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/foundations-of-vectors-and-3d-space-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 4 Advanced Vector Operations and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/advanced-vector-operations-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/advanced-vector-operations-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 5 Vector-Valued Functions and Motion: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/vector-valued-functions-and-motion-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/vector-valued-functions-and-motion-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 6 Introduction to Multivariable Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/introduction-to-multivariable-functions-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/introduction-to-multivariable-functions-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 7 Advanced Partial Derivatives: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/advanced-partial-derivatives-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/advanced-partial-derivatives-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 8 Optimization and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/optimization-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/optimization-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 9 Double Integration and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/double-integration-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/double-integration-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 10 Triple Integration and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/triple-integration-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/triple-integration-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 11 Vector Calculus and Vector Fields: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/vector-calculus-and-vector-fields-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/vector-calculus-and-vector-fields-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 12 Advanced Vector Calculus: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/advanced-vector-calculus-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/advanced-vector-calculus-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n<span data-sheets-root=\"1\">Module 13 Second-Order Differential Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/second-order-differential-equations-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/second-order-differential-equations-get-stronger-answer-key\/\">Answer Key<\/a><\/span>\r\n\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"discussions\"><\/a>Discussions, Writing Tasks, and AI Activities<\/h3>\r\n<table style=\"border-collapse: collapse; width: 100%; height: 308px;\">\r\n<thead>\r\n<tr style=\"height: 22px;\">\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">Module<\/th>\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">Discussion<\/th>\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">Writing Task<\/th>\r\n<th style=\"height: 22px; width: 25%; text-align: center;\">AI Activity<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Parametric Curves and Their Applications<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1F_AM7MZj-qsPzF3vFCjF-NCNI74mirLDzEfZfcP_A_k\/edit?usp=sharing\">Plotting Parametric Equations<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/10PB-WxkHo_zgnrpEhzX84jCnJbud3qvZP9FFiPKhinE\/edit?usp=sharing\">Parametric Curves and Their Applications AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Polar Coordinates and Conic Sections<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/153xnSDkvf2BeuoD9BHEPSA4WdD7JqXr5KC86HQVFgHo\/edit?usp=sharing\">Areas in Rectangular and Polar Coordinates<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1vjRCwZYuno8hFJYkaNRdA2dytn8sRPzavKxz1Xr_OmQ\/edit?usp=sharing\">Polar Coordinates and Conic Sections AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Foundations of Vectors and 3D Space<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1sucORG1Gzi6ohxYY7pe1EEPVNxxfX6ixt0k4TFwqe90\/edit?usp=sharing\">Vector Operations<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/14x5GPFbP04w32Pth9xcRwU8h0vewueprK9Y_6G5MlrY\/edit?usp=sharing\">Foundations of Vectors and 3D Space AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Advanced Vector Operations and Applications<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1qDaTZBDi5rigPhs3z9Vn2qYAij2tzEwHI9jzch1Q2jA\/edit?usp=sharing\">Equations of Lines and Planes<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/17b7HNZl0GxzcaYc9OvQnY4LsE2-0nJpoq9VDGgysJ1U\/edit?usp=sharing\">Advanced Vector Operations and Applications AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Vector-Valued Functions and Motion<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1lPQ3Apj0s6Ql3x6rcxCBbNy4TQl0vP9hucNC61q-Hac\/edit?usp=sharing\">Plots and Tangents<\/a>\r\n\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1iAilHBWMh_FA_USl4ykXL60ppmVyPGGHpunwS8aZ2WM\/edit?usp=sharing\">Arc Length for Polar Coordinates<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1D3fc73YfJwH0nHIoOMMc9jhaWriKLrl8WFzn9Fu4tXg\/edit?usp=sharing\">Vector-Valued Functions and Motion AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\"> Introduction to Multivariable Functions<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1KQg6asEPmTZZlwa3isN0Dqh7LWQnMYDOWyOdkhifhf8\/edit?usp=sharing\">Introduction to Multivariable Functions AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Advanced Partial Derivatives<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1TTuwBBslR7LEdJWL4cKs6vwzNeZ7Ceg2FPqPHwvNBhs\/edit?usp=sharing\">Contour Maps and Directional Derivatives<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1T76LOgS-_fFt4CuH9_q9ml6s7FqjiaIjhHtTxkvMuRc\/edit?usp=sharing\">Advanced Partial Derivatives AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Optimization and Applications<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/150duaJq5cvbQ5ORAR7swUMWL77F0Ph5pByxi4kolp9c\/edit?usp=sharing\">Absolute Extrema<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1bq_yRPMLr7ny9ZTfyTuZVXoUwgqGm1pNFBUf2wJ90Sk\/edit?usp=sharing\">Optimization and Applications AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Double Integration and Applications<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1QpOQFjXWQmFTjoCD6jzWeeA_7KPWdJmiVXyQmT1d_Cg\/edit?usp=sharing\">Polar, Cylindrical, and Spherical Coordinates<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1eW2WJSlZTSO2tK0DZEqkZlBE9RL0ytnBremGCuur1JU\/edit?usp=sharing\">Double Integration and Applications AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Triple Integration and Applications<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1xQvblYwalGrAS91hrUudTItofCV_oGMXoF1bLNepgQg\/edit?usp=sharing\">Changing the Order of Integration<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1t_KY9hPUE7dlttgw_LHSuoTp2tcE5gz4l8GIVJLOT3w\/edit?usp=sharing\">Triple Integration and Applications AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Vector Calculus and Vector Fields<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ix3CLwBQoag8wKAOJTRP_I-a1Zu9hBcnlCRzY3j1HG8\/edit?usp=sharing\">Understanding Green\u2019s Theorem<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1kEC4xzxqvRSDXi2cbUo6J9zU0T6i2Cm8XkqJOsnGQOs\/edit?usp=sharing\">Vector Calculus and Vector Fields AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Advanced Vector Calculus<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1R1cKZyGGBMc3h9ZwTZXi_5ssFV8rEmoiFSagGjqGiUk\/edit?usp=sharing\">Verifying Stoke\u2019s Theorem<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1zsw2_jDzlSXLwUhx_sqIrbmeBIX0oXRlmOqbY6lzAWE\/edit?usp=sharing\">Advanced Vector Calculus AI Activity<\/a><\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px;\">\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Second-Order Differential Equations<\/span><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ZbR8Aw3E7OWIeUeqDWXv9XAjxeJq4bJK1mN3oLmzL-0\/edit?usp=sharing\">Finding Solutions<\/a>\r\n\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1ZehHM9DE-_IeMGz0Lz1QvdRSNwssHHmScX8xhGXcbtI\/edit?usp=sharing\">Using One Solution to Find Another<\/a><\/td>\r\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1zyWMnQKfho4jJsVuqI9xbVN4gq__o5SZTx3W0hes3oo\/edit?usp=sharing\">Second-Order Differential Equations AI Activity<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"ssa\"><\/a>Subject Specific Assignments<\/h3>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1sk7KlVyLagBmvP_A_aAvbVIorcj1oYEOCatzr2kBnBU\/edit?usp=sharing\">Biology Assignment: Population<\/a>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1asSFpxVLkcj1ieagM3JZ09DqG1HhABNI1mxS5DHJyFQ\/edit?usp=sharing\">Biology Assignment: Modeling DNA<\/a>\r\n\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/167pdtxzvrmbyqc7rbS28D-QHZ2rDrmHzQnhFMcZxnZM\/edit?usp=sharing\">Physics Assignment: Force<\/a>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1uDYbtQxLveNKYazVa0MTU_9wZgkNfwswq7XbbE5KCQY\/edit?usp=sharing\">Physics Assignment: Archery<\/a>\r\n\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1lipUj5GpHdiqbAS_3J6yHAt-hGwyB9Z3qFBpbBcd3F8\/edit?usp=sharing\">Engineering Assignment: Center of Mass and Moments of Inertia<\/a>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1mK-iVC27PX_7tL-_GIv-lt4x5YukyeDVu2Jy-hB7OoA\/edit?usp=sharing\">Engineering Assignment: Flux<\/a>\r\n\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1WJyqWCezjAc99RfqdRcnuRIC0sJXsr5E8Q-6sSQFm6c\/edit?usp=sharing\">Economics Assignment: Production Function<\/a>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1QJcKJvij8NfBBs8KXaAXOBGVzNYMCev1cTmGhbJw_c0\/edit?usp=sharing\">Economics Assignment: Optimization<\/a>\r\n\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/1isnrHh-tV74WN4vA3iYJ5ssWmyv-5JktuZFCVBtgq_4\/edit?usp=sharing\">Computer Science Assignment: Small Steps to the Peak<\/a>\r\n<a href=\"https:\/\/docs.google.com\/document\/d\/10wJyx_U71jc7mWLw37rOfsXOoAUJ2Jwg-uwkboXd6g8\/edit?usp=sharing\">Computer Science Assignment: Integrals inside Integrals<\/a>\r\n\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"capstone\"><\/a>Capstone Project<\/h3>\r\n<ul>\r\n \t<li style=\"list-style-type: none;\">\r\n<ul>\r\n \t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1gQ0S-Weec9A4hL_-2mSyQ4SEkJqE1-KM0Mtj8z8oHsE\/edit?usp=sharing\">Renovating a Castle Part 1 - The Beginning<\/a><\/li>\r\n \t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1Hm9Nhbwr4zZDtDL0VNjRtoO2eXnzzMwzwsY4GaCXFPY\/edit?usp=sharing\">Renovating a Castle Part 2 - Minor Improvements<\/a><\/li>\r\n \t<li><a href=\"https:\/\/docs.google.com\/document\/d\/1lG-e-FH9EZ0jbs07EPo6u1_jXId15LE8LO1sPFV7HyA\/edit?usp=sharing\">Renovating a Castle Part 3 The Courtyard<\/a><\/li>\r\n \t<li><a href=\"https:\/\/docs.google.com\/document\/d\/13KL5P68uQbZ21GdNyYZkp9qwgylLowzrSpLOA2byd80\/edit?usp=sharing\">Renovating a Castle - Capstone Project Finale<\/a><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section><section class=\"textbox\" style=\"border: none;\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"epub\"><\/a>Offline Content Access<\/h3>\r\n<strong>NOTE:<\/strong> the epub contains the<strong> Learn It and Apply It content only<\/strong>. There are no interactives, videos, practice questions, or assessments included in these files and some images will not display in this format. You will need to download and open the epub within an e-reader, such as iBooks or ReadEra.\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Calculus+3\/Lumen-Learning-Calculus3-090926.epub\" target=\"_blank\" rel=\"noopener\">Calculus 3 EPUB<\/a><\/p>\r\nThis epub is designed to assist you in preparation for your course(s) using Lumen OHM or as a resource for students requiring accessibility accommodations.<br aria-hidden=\"true\" \/>If your students are interested in a printed version of the Learn It and Apply It content, we offer 3-hole punched copies which can be ordered through your bookstore or <a class=\"c-link\" href=\"https:\/\/coursepacksetc.com\/product-category\/lumen-learning\/\" target=\"_blank\" rel=\"noopener noreferrer\" data-stringify-link=\"https:\/\/coursepacksetc.com\/product-category\/lumen-learning\/\" data-sk=\"tooltip_parent\">directly by students here<\/a>.\r\n\r\n[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]\r\n\r\n<\/section>","rendered":"<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5715 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/10\/02185338\/Learning-languages-pana-1024x1024.png\" alt=\"\" width=\"156\" height=\"160\" \/><a id=\"top\"><\/a>This page provides aligned teaching materials for Calculus II, including detailed instructor guides and instructional presentation slides. Each resource is built around Lumen\u2019s framework for Evidence-Based Teaching Practices, with the goal of supporting an active, engaged, and connected classroom \u2014 while also making your job easier.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>:\u00a0 <a class=\"anchorLink\" href=\"#syllabus\">Course Information<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <a class=\"anchorLink\" href=\"#guides\">Instructor Guides<\/a> <span style=\"color: #800080;\"><strong>| <\/strong> <a class=\"anchorLink\" href=\"#powerpoint\">Slide Decks<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|\u00a0<\/strong><strong><br \/>\n<\/strong><a class=\"anchorLink\" href=\"#practice\">Practice Problems + Keys<\/a> <\/span><span style=\"color: #800080;\"><strong>| <\/strong><\/span><a class=\"anchorLink\" href=\"#discussions\">Discussions, Writing Tasks, and AI Activities<\/a> <span style=\"color: #800080;\"><strong>|<\/strong><\/span><\/p>\n<section class=\"textbox proTip\" aria-label=\"Pro Tip\">Lumen provides files in either PDF or Google formats depending on its primary use case. PDFs will either pull up in your browser or download onto your computer. To edit Google files, you will need to make your own copy. If you are signed into your own Google Drive account, click the file link, then click the \u201cFile\u201d dropdown menu, and click \u201cMake a copy.\u201d If you do not have a Google account, click the file link, then click the \u201cFile\u201d dropdown menu, and select \u201cDownload\u201d in your preferred file format.<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"syllabus\"><\/a>Course Information<\/h3>\n<p>You may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.<\/p>\n<ul>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1cxvjaComlVUWiDBVwbi9-_ubBLOIEwze4WLBz0p68UY\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Topic List for Calculus III<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1QSxjGdBlWilQ4bMkIc-rJom7RhEhXjcXDnEAauZHBjY\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Calculus III: Detailed Learning Outcomes<\/a><\/li>\n<\/ul>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"guides\"><\/a>Instructor Guides<\/h3>\n<p>Instructor Guides are provided for each module to support active learning, conceptual investigation, and collaboration. Each guide includes an overview of the module content, a summary of what students encounter in key sections, and a list of learning outcomes. You\u2019ll also find engaging classroom activities with accompanying materials such as handouts and worksheets. Activities come with a suggested instructional plan, alignment to evidence-based teaching practices, discussion prompts, and an online variation that can be integrated into your LMS for hybrid or asynchronous classes.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1j5xSAO7Yj2Im4k6NLTz-DPty09vL3WOUgBnCMvF4WME\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Module 1: Parametric Curves and Their Applications Instructor Guide<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1fBsatMrgp004S8kaUBzoyDZBc3hKmyoAhm_i1yzzq0c\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 2: Polar Coordinates and Conic Sections Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-1e-3vsc1FDJFg80LLDZVIkSZhN0lpG2kCnxVTTg2Ro\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 3: Foundations of Vectors and 3D Space Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/12ogXpWCjlt-CSmPcGxinYciuVQwo6kpquwkGAfVpPPE\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 4: Advanced Vector Operations and Applications Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1Dpouo8CAPAo51r8DJyYxj7-NqtS4f1fbzqk7YTonFzw\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\"><span data-sheets-root=\"1\">Module 5: Vector-Valued Functions and Motion Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1JxGqu6US140SZ302f32ADl88wKhkez6QSVrVGTo0Ek0\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 6: Introduction to Multivariable Functions Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1LCF1gVcbOEKmDu-fhWdTGhvPO63Yusx__X3nocFnhx0\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 7: Advanced Partial Derivatives Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1V_-Rn1jIb416585lk6kpomKeuw0NqfK-E02jjqSvrtQ\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 8: Optimization and Applications Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1dOR9z1Wzguu-CrqVgjXhVb1fanVfDgcFI29_cQlXeEk\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 9: Double Integration and Applications Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1eDESFoJnBWE4kL-Cb8MY44Ihzgno8d299tLuWWD3X7I\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 10: Triple Integration and Applications Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1eNKlXkfnULdLYoCKWi-AMx8vHqwPLyBok8CXR5BANA4\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 11: Vector Calculus and Vector Fields Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1f73jw250X7xhys2123xp47sehGZSMmuGhuzl9ApDPcU\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 12: Advanced Vector Calculus Instructor Guide<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1jqNqN4MHhA_1TgVd3c9zm5gNF8kPLVZFUHTA5RRh1jk\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 13: Second-Order Differential Equations Instructor Guide<\/span><\/a><\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"powerpoint\"><\/a>Presentation Slide Decks<\/h3>\n<p>You can download a PPT or make a copy and customize these Google Slide decks to serve as a visual guide and companion to each suggested lesson. They include student-friendly learning outcomes, sample class affirmations, ideas for engagement and details for each activity.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1G8Im0yXzWWRK9BH42ptX5nwHDV-BL9mgR_5zrVEMiN0\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener\">Module 1: Parametric Curves and Their Applications<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1omxUvig_0x8WnXz9aVh5T2RNmdvIMJLp-Xr750vknNI\/edit?usp=sharing\">Module 2: Polar Coordinates and Conic Sections<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1OlloloM2wJlaOIFczhSLBPPuTP70TPuJ6W69gOI-4Kc\/edit?usp=sharing\">Module 3: Foundations of Vectors and 3D Space<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/16eA77syn4FTMONLFqtRdN85eR8-lL3gmBICPVGqIXDE\/edit?usp=sharing\">Module 4: Advanced Vector Operations and Applications<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1gOkySLwpDVbGmaM4LsiyzWP2-Bd3gk5Yz_AvMt_ImCk\/edit?usp=sharing\">Module 5: Vector-Valued Functions and Motion<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1bXA-TooCnCjlwB16L7AKNl3oMlh9hlmnSHnf12WGHJE\/edit?usp=sharing\"><span data-sheets-root=\"1\">Module 6: Introduction to Multivariable Functions<\/span><\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1DgwPsHjatotNaSZVXGD38brCP9wqiMfbQZ-dGVk6A9k\/edit?usp=sharing\">Module 7: Advanced Partial Derivatives<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1JKuTcvao_uiJ_IJ_KnxdLpBsdKnbITs58ORiW50Jxqs\/edit?usp=sharing\">Module 8: Optimization and Applications<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1fMls6hmbAEJeajUBfOhquMlgcu5sSX8sNb-Yfkz2aUI\/edit?usp=sharing\">Module 9: Double Integration and Applications<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1-I4ukP5un0syjeBDnzXANHPP7LlEDs54SyKeAfDgBIA\/edit?usp=sharing\">Module 10: Triple Integration and Applications<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/13ePMJsBiJBNpT5jJyoq9CR6p9Q-sNO7hR9XT3heDwCE\/edit?usp=sharing\">Module 11: Vector Calculus and Vector Fields<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1Y8xB2Xg6o1oUS662Uvfc4QQvP5EUpHrRLW5nI5zx5qI\/edit?usp=sharing\">Module 12: Advanced Vector Calculus<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/presentation\/d\/1YrzQrnTY98MP4Iygg3QvQhDBUqcKfApmyOrRfQzUMaw\/edit?usp=sharing\">Module 13: Second-Order Differential Equations<\/a><\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\">Get Stronger Practice Problems<\/h3>\n<p>Module 1 Parametric Curves and Their Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/parametric-curves-and-their-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/parametric-curves-and-their-applications-get-stronger-answer-key-2\/\">Answer Key<br \/>\n<\/a><\/p>\n<p><span data-sheets-root=\"1\">Module 2 Polar Coordinates and Conic Sections: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/polar-coordinates-and-conic-sections-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/polar-coordinates-and-conic-sections-get-stronger-answer-key-2\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 3 Foundations of Vectors and 3D Space: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/foundations-of-vectors-and-3d-space-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/foundations-of-vectors-and-3d-space-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 4 Advanced Vector Operations and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/advanced-vector-operations-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/advanced-vector-operations-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 5 Vector-Valued Functions and Motion: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/vector-valued-functions-and-motion-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/vector-valued-functions-and-motion-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 6 Introduction to Multivariable Functions: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/introduction-to-multivariable-functions-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/introduction-to-multivariable-functions-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 7 Advanced Partial Derivatives: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/advanced-partial-derivatives-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/advanced-partial-derivatives-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 8 Optimization and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/optimization-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/optimization-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 9 Double Integration and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/double-integration-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/double-integration-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 10 Triple Integration and Applications: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/triple-integration-and-applications-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/triple-integration-and-applications-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 11 Vector Calculus and Vector Fields: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/vector-calculus-and-vector-fields-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/vector-calculus-and-vector-fields-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 12 Advanced Vector Calculus: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/advanced-vector-calculus-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/advanced-vector-calculus-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p><span data-sheets-root=\"1\">Module 13 Second-Order Differential Equations: <a href=\"https:\/\/content.one.lumenlearning.com\/calculus3\/chapter\/second-order-differential-equations-get-stronger\/\">Get Stronger<\/a> + <a href=\"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/second-order-differential-equations-get-stronger-answer-key\/\">Answer Key<\/a><\/span><\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"discussions\"><\/a>Discussions, Writing Tasks, and AI Activities<\/h3>\n<table style=\"border-collapse: collapse; width: 100%; height: 308px;\">\n<thead>\n<tr style=\"height: 22px;\">\n<th style=\"height: 22px; width: 25%; text-align: center;\">Module<\/th>\n<th style=\"height: 22px; width: 25%; text-align: center;\">Discussion<\/th>\n<th style=\"height: 22px; width: 25%; text-align: center;\">Writing Task<\/th>\n<th style=\"height: 22px; width: 25%; text-align: center;\">AI Activity<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Parametric Curves and Their Applications<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1F_AM7MZj-qsPzF3vFCjF-NCNI74mirLDzEfZfcP_A_k\/edit?usp=sharing\">Plotting Parametric Equations<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/10PB-WxkHo_zgnrpEhzX84jCnJbud3qvZP9FFiPKhinE\/edit?usp=sharing\">Parametric Curves and Their Applications AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Polar Coordinates and Conic Sections<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/153xnSDkvf2BeuoD9BHEPSA4WdD7JqXr5KC86HQVFgHo\/edit?usp=sharing\">Areas in Rectangular and Polar Coordinates<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1vjRCwZYuno8hFJYkaNRdA2dytn8sRPzavKxz1Xr_OmQ\/edit?usp=sharing\">Polar Coordinates and Conic Sections AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Foundations of Vectors and 3D Space<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1sucORG1Gzi6ohxYY7pe1EEPVNxxfX6ixt0k4TFwqe90\/edit?usp=sharing\">Vector Operations<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/14x5GPFbP04w32Pth9xcRwU8h0vewueprK9Y_6G5MlrY\/edit?usp=sharing\">Foundations of Vectors and 3D Space AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Advanced Vector Operations and Applications<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1qDaTZBDi5rigPhs3z9Vn2qYAij2tzEwHI9jzch1Q2jA\/edit?usp=sharing\">Equations of Lines and Planes<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/17b7HNZl0GxzcaYc9OvQnY4LsE2-0nJpoq9VDGgysJ1U\/edit?usp=sharing\">Advanced Vector Operations and Applications AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Vector-Valued Functions and Motion<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1lPQ3Apj0s6Ql3x6rcxCBbNy4TQl0vP9hucNC61q-Hac\/edit?usp=sharing\">Plots and Tangents<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1iAilHBWMh_FA_USl4ykXL60ppmVyPGGHpunwS8aZ2WM\/edit?usp=sharing\">Arc Length for Polar Coordinates<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1D3fc73YfJwH0nHIoOMMc9jhaWriKLrl8WFzn9Fu4tXg\/edit?usp=sharing\">Vector-Valued Functions and Motion AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\"> Introduction to Multivariable Functions<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1KQg6asEPmTZZlwa3isN0Dqh7LWQnMYDOWyOdkhifhf8\/edit?usp=sharing\">Introduction to Multivariable Functions AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Advanced Partial Derivatives<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1TTuwBBslR7LEdJWL4cKs6vwzNeZ7Ceg2FPqPHwvNBhs\/edit?usp=sharing\">Contour Maps and Directional Derivatives<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1T76LOgS-_fFt4CuH9_q9ml6s7FqjiaIjhHtTxkvMuRc\/edit?usp=sharing\">Advanced Partial Derivatives AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Optimization and Applications<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/150duaJq5cvbQ5ORAR7swUMWL77F0Ph5pByxi4kolp9c\/edit?usp=sharing\">Absolute Extrema<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1bq_yRPMLr7ny9ZTfyTuZVXoUwgqGm1pNFBUf2wJ90Sk\/edit?usp=sharing\">Optimization and Applications AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Double Integration and Applications<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1QpOQFjXWQmFTjoCD6jzWeeA_7KPWdJmiVXyQmT1d_Cg\/edit?usp=sharing\">Polar, Cylindrical, and Spherical Coordinates<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1eW2WJSlZTSO2tK0DZEqkZlBE9RL0ytnBremGCuur1JU\/edit?usp=sharing\">Double Integration and Applications AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Triple Integration and Applications<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1xQvblYwalGrAS91hrUudTItofCV_oGMXoF1bLNepgQg\/edit?usp=sharing\">Changing the Order of Integration<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1t_KY9hPUE7dlttgw_LHSuoTp2tcE5gz4l8GIVJLOT3w\/edit?usp=sharing\">Triple Integration and Applications AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Vector Calculus and Vector Fields<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ix3CLwBQoag8wKAOJTRP_I-a1Zu9hBcnlCRzY3j1HG8\/edit?usp=sharing\">Understanding Green\u2019s Theorem<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1kEC4xzxqvRSDXi2cbUo6J9zU0T6i2Cm8XkqJOsnGQOs\/edit?usp=sharing\">Vector Calculus and Vector Fields AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Advanced Vector Calculus<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1R1cKZyGGBMc3h9ZwTZXi_5ssFV8rEmoiFSagGjqGiUk\/edit?usp=sharing\">Verifying Stoke\u2019s Theorem<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1zsw2_jDzlSXLwUhx_sqIrbmeBIX0oXRlmOqbY6lzAWE\/edit?usp=sharing\">Advanced Vector Calculus AI Activity<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"width: 25%; height: 22px; text-align: center;\"><span data-sheets-root=\"1\">Second-Order Differential Equations<\/span><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><\/td>\n<td style=\"width: 25%; height: 22px; text-align: left;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ZbR8Aw3E7OWIeUeqDWXv9XAjxeJq4bJK1mN3oLmzL-0\/edit?usp=sharing\">Finding Solutions<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1ZehHM9DE-_IeMGz0Lz1QvdRSNwssHHmScX8xhGXcbtI\/edit?usp=sharing\">Using One Solution to Find Another<\/a><\/td>\n<td style=\"width: 25%; height: 22px; text-align: center;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1zyWMnQKfho4jJsVuqI9xbVN4gq__o5SZTx3W0hes3oo\/edit?usp=sharing\">Second-Order Differential Equations AI Activity<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"ssa\"><\/a>Subject Specific Assignments<\/h3>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1sk7KlVyLagBmvP_A_aAvbVIorcj1oYEOCatzr2kBnBU\/edit?usp=sharing\">Biology Assignment: Population<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1asSFpxVLkcj1ieagM3JZ09DqG1HhABNI1mxS5DHJyFQ\/edit?usp=sharing\">Biology Assignment: Modeling DNA<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/167pdtxzvrmbyqc7rbS28D-QHZ2rDrmHzQnhFMcZxnZM\/edit?usp=sharing\">Physics Assignment: Force<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1uDYbtQxLveNKYazVa0MTU_9wZgkNfwswq7XbbE5KCQY\/edit?usp=sharing\">Physics Assignment: Archery<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1lipUj5GpHdiqbAS_3J6yHAt-hGwyB9Z3qFBpbBcd3F8\/edit?usp=sharing\">Engineering Assignment: Center of Mass and Moments of Inertia<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1mK-iVC27PX_7tL-_GIv-lt4x5YukyeDVu2Jy-hB7OoA\/edit?usp=sharing\">Engineering Assignment: Flux<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1WJyqWCezjAc99RfqdRcnuRIC0sJXsr5E8Q-6sSQFm6c\/edit?usp=sharing\">Economics Assignment: Production Function<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/1QJcKJvij8NfBBs8KXaAXOBGVzNYMCev1cTmGhbJw_c0\/edit?usp=sharing\">Economics Assignment: Optimization<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1isnrHh-tV74WN4vA3iYJ5ssWmyv-5JktuZFCVBtgq_4\/edit?usp=sharing\">Computer Science Assignment: Small Steps to the Peak<\/a><br \/>\n<a href=\"https:\/\/docs.google.com\/document\/d\/10wJyx_U71jc7mWLw37rOfsXOoAUJ2Jwg-uwkboXd6g8\/edit?usp=sharing\">Computer Science Assignment: Integrals inside Integrals<\/a><\/p>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"capstone\"><\/a>Capstone Project<\/h3>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1gQ0S-Weec9A4hL_-2mSyQ4SEkJqE1-KM0Mtj8z8oHsE\/edit?usp=sharing\">Renovating a Castle Part 1 &#8211; The Beginning<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1Hm9Nhbwr4zZDtDL0VNjRtoO2eXnzzMwzwsY4GaCXFPY\/edit?usp=sharing\">Renovating a Castle Part 2 &#8211; Minor Improvements<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1lG-e-FH9EZ0jbs07EPo6u1_jXId15LE8LO1sPFV7HyA\/edit?usp=sharing\">Renovating a Castle Part 3 The Courtyard<\/a><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/13KL5P68uQbZ21GdNyYZkp9qwgylLowzrSpLOA2byd80\/edit?usp=sharing\">Renovating a Castle &#8211; Capstone Project Finale<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>[<a class=\"anchorLink\" href=\"#top\">return to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\" style=\"border: none;\">\n<h3 style=\"margin-top: 0;\"><a id=\"epub\"><\/a>Offline Content Access<\/h3>\n<p><strong>NOTE:<\/strong> the epub contains 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