{"id":4173,"date":"2022-04-14T18:35:31","date_gmt":"2022-04-14T18:35:31","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/assignments\/"},"modified":"2022-11-01T23:27:11","modified_gmt":"2022-11-01T23:27:11","slug":"assignments","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus3\/chapter\/assignments\/","title":{"raw":"Assignments","rendered":"Assignments"},"content":{"raw":"\"iconThe assignments in this course are openly licensed, and are available as-is, or can be modified to suit your students\u2019 needs. For Calculus III, the assignments include a variety of discussion prompts, writing tasks, possible group work, and application-based activities that focus on reinforcing specific learning outcomes.\r\n\r\nThere are also\u00a0Problem Sets \u2013 found here<\/a>, and\u00a0Flipped Classroom Assignments and Desmos Interactives \u2013 found here<\/a>.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Discussion Prompts and Alignment<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Discussion Title<\/th>\r\nModule<\/th>\r\n<\/tr>\r\n
Discussion 1: Plotting Parametric Equations<\/a><\/td>\r\nModule 1: Parametric Equations and Polar Coordinates<\/td>\r\n<\/tr>\r\n
Discussion 2: Areas in Rectangular and Polar Coordinates<\/a><\/td>\r\nModule 1: Parametric Equations and Polar Coordinates<\/td>\r\n<\/tr>\r\n
Discussion 3: Vector Operations<\/a><\/td>\r\nModule 2: Vectors in Space<\/td>\r\n<\/tr>\r\n
Discussion 4: Equations of Lines and Planes<\/a><\/td>\r\nModule 2: Vectors in Space<\/td>\r\n<\/tr>\r\n
Discussion 5: Plots and Tangents<\/a><\/td>\r\nModule 3: Vector-Valued Functions<\/td>\r\n<\/tr>\r\n
Discussion 6: Arc Length for Polar Coordinates<\/a><\/td>\r\nModule 3: Vector-Valued Functions<\/td>\r\n<\/tr>\r\n
Discussion 7: Contour Maps and Directional Derivatives<\/a><\/td>\r\nModule 4: Differentiation of Functions of Several Variables<\/td>\r\n<\/tr>\r\n
Discussion 8: Absolute Extrema<\/a><\/td>\r\nModule 4: Differentiation of Functions of Several Variables<\/td>\r\n<\/tr>\r\n
Discussion 9: Changing the Order of Integration<\/a><\/td>\r\nModule 5: Multiple Integration<\/td>\r\n<\/tr>\r\n
Discussion 10: Polar, Cylindrical, and Spherical Coordinates<\/a><\/td>\r\nModule 5: Multiple Integration<\/td>\r\n<\/tr>\r\n
Discussion 11: Understanding Green\u2019s Theorem<\/a><\/td>\r\nModule 6: Vector Calculus<\/td>\r\n<\/tr>\r\n
Discussion 12: Verifying Stoke\u2019s Theorem<\/a><\/td>\r\nModule 6: Vector Calculus<\/td>\r\n<\/tr>\r\n
Discussion 13: Finding Solutions<\/a><\/td>\r\nModule 7: Second-Order Differential Equations<\/td>\r\n<\/tr>\r\n
Discussion 14: Using One Solution to Find Another<\/a><\/td>\r\nModule 7: Second-Order Differential Equations<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Activities\u00a0Embedded in Text<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Activity Title<\/strong><\/td>\r\nModule Location<\/strong><\/td>\r\n<\/tr>\r\n
The Witch of Agnesi<\/a><\/td>\r\nModule 1: Parametric Equations and Polar Coordinates<\/td>\r\n<\/tr>\r\n
Travels With My Ant: The Curtate and Prolate Cycloids<\/a><\/td>\r\nModule 1: Parametric Equations and Polar Coordinates<\/td>\r\n<\/tr>\r\n
Distance Between two Skew Lines<\/a><\/td>\r\nModule 2: Vectors in Space<\/td>\r\n<\/tr>\r\n
Navigating a Banked Turn<\/a><\/td>\r\nModule 3: Vector-Valued Functions<\/td>\r\n<\/tr>\r\n
Lord Kelvin and the Age of Earth<\/a><\/td>\r\nModule 4: Differentiation of Functions of Several Variables<\/td>\r\n<\/tr>\r\n
Hot Air Balloons<\/a><\/td>\r\nModule 5: Multiple Integration<\/td>\r\n<\/tr>\r\n
Measuring Area From a Boundary: The Planimeter<\/a><\/td>\r\nModule 6: Vector Calculus<\/td>\r\n<\/tr>\r\n
Landing Vehicle<\/a><\/td>\r\nModule 7: Second-Order Differential Equations<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Subject Field Assignments \u2013 (Learning Outcome alignment is listed on each assignment)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Assignment Title<\/th>\r\nField of Study<\/th>\r\n<\/tr>\r\n
Population<\/a><\/td>\r\nBiology<\/td>\r\n<\/tr>\r\n
Modeling DNA<\/a><\/td>\r\nBiology<\/td>\r\n<\/tr>\r\n
Archery\r\n<\/a><\/td>\r\nPhysics<\/td>\r\n<\/tr>\r\n
Force<\/a><\/td>\r\nPhysics<\/td>\r\n<\/tr>\r\n
Flux<\/a><\/td>\r\nEngineering<\/td>\r\n<\/tr>\r\n
Center of Mass and Moments of Inertia<\/a><\/td>\r\nEngineering<\/td>\r\n<\/tr>\r\n
Optimization<\/a><\/td>\r\nEconomics<\/td>\r\n<\/tr>\r\n
Production Function<\/a><\/td>\r\nEconomics<\/td>\r\n<\/tr>\r\n
Small Steps to the Peak<\/a><\/td>\r\nComputer Science<\/td>\r\n<\/tr>\r\n
Integrals inside Integrals<\/a><\/td>\r\nComputer Science<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Capstone Project Assignments\u00a0\u2013 (Learning Outcome alignment is listed on each assignment)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Renovating a Castle<\/th>\r\n<\/th>\r\n<\/tr>\r\n
The Beginning <\/a><\/td>\r\nPart 1<\/td>\r\n<\/tr>\r\n
Minor Improvements <\/a><\/td>\r\nPart 2<\/td>\r\n<\/tr>\r\n
The Courtyard<\/a><\/td>\r\nPart 3<\/td>\r\n<\/tr>\r\n
The Finale<\/a><\/td>\r\nFinal Project<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"

\"iconThe assignments in this course are openly licensed, and are available as-is, or can be modified to suit your students\u2019 needs. For Calculus III, the assignments include a variety of discussion prompts, writing tasks, possible group work, and application-based activities that focus on reinforcing specific learning outcomes.<\/p>\n

There are also\u00a0Problem Sets \u2013 found here<\/a>, and\u00a0Flipped Classroom Assignments and Desmos Interactives \u2013 found here<\/a>.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Discussion Prompts and Alignment<\/th>\n<\/tr>\n<\/thead>\n
Discussion Title<\/th>\nModule<\/th>\n<\/tr>\n
Discussion 1: Plotting Parametric Equations<\/a><\/td>\nModule 1: Parametric Equations and Polar Coordinates<\/td>\n<\/tr>\n
Discussion 2: Areas in Rectangular and Polar Coordinates<\/a><\/td>\nModule 1: Parametric Equations and Polar Coordinates<\/td>\n<\/tr>\n
Discussion 3: Vector Operations<\/a><\/td>\nModule 2: Vectors in Space<\/td>\n<\/tr>\n
Discussion 4: Equations of Lines and Planes<\/a><\/td>\nModule 2: Vectors in Space<\/td>\n<\/tr>\n
Discussion 5: Plots and Tangents<\/a><\/td>\nModule 3: Vector-Valued Functions<\/td>\n<\/tr>\n
Discussion 6: Arc Length for Polar Coordinates<\/a><\/td>\nModule 3: Vector-Valued Functions<\/td>\n<\/tr>\n
Discussion 7: Contour Maps and Directional Derivatives<\/a><\/td>\nModule 4: Differentiation of Functions of Several Variables<\/td>\n<\/tr>\n
Discussion 8: Absolute Extrema<\/a><\/td>\nModule 4: Differentiation of Functions of Several Variables<\/td>\n<\/tr>\n
Discussion 9: Changing the Order of Integration<\/a><\/td>\nModule 5: Multiple Integration<\/td>\n<\/tr>\n
Discussion 10: Polar, Cylindrical, and Spherical Coordinates<\/a><\/td>\nModule 5: Multiple Integration<\/td>\n<\/tr>\n
Discussion 11: Understanding Green\u2019s Theorem<\/a><\/td>\nModule 6: Vector Calculus<\/td>\n<\/tr>\n
Discussion 12: Verifying Stoke\u2019s Theorem<\/a><\/td>\nModule 6: Vector Calculus<\/td>\n<\/tr>\n
Discussion 13: Finding Solutions<\/a><\/td>\nModule 7: Second-Order Differential Equations<\/td>\n<\/tr>\n
Discussion 14: Using One Solution to Find Another<\/a><\/td>\nModule 7: Second-Order Differential Equations<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Activities\u00a0Embedded in Text<\/th>\n<\/tr>\n<\/thead>\n
Activity Title<\/strong><\/td>\nModule Location<\/strong><\/td>\n<\/tr>\n
The Witch of Agnesi<\/a><\/td>\nModule 1: Parametric Equations and Polar Coordinates<\/td>\n<\/tr>\n
Travels With My Ant: The Curtate and Prolate Cycloids<\/a><\/td>\nModule 1: Parametric Equations and Polar Coordinates<\/td>\n<\/tr>\n
Distance Between two Skew Lines<\/a><\/td>\nModule 2: Vectors in Space<\/td>\n<\/tr>\n
Navigating a Banked Turn<\/a><\/td>\nModule 3: Vector-Valued Functions<\/td>\n<\/tr>\n
Lord Kelvin and the Age of Earth<\/a><\/td>\nModule 4: Differentiation of Functions of Several Variables<\/td>\n<\/tr>\n
Hot Air Balloons<\/a><\/td>\nModule 5: Multiple Integration<\/td>\n<\/tr>\n
Measuring Area From a Boundary: The Planimeter<\/a><\/td>\nModule 6: Vector Calculus<\/td>\n<\/tr>\n
Landing Vehicle<\/a><\/td>\nModule 7: Second-Order Differential Equations<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Subject Field Assignments \u2013 (Learning Outcome alignment is listed on each assignment)<\/th>\n<\/tr>\n<\/thead>\n
Assignment Title<\/th>\nField of Study<\/th>\n<\/tr>\n
Population<\/a><\/td>\nBiology<\/td>\n<\/tr>\n
Modeling DNA<\/a><\/td>\nBiology<\/td>\n<\/tr>\n
Archery
\n<\/a><\/td>\n		Physics<\/td>\n<\/tr>\n
Force<\/a><\/td>\nPhysics<\/td>\n<\/tr>\n
Flux<\/a><\/td>\nEngineering<\/td>\n<\/tr>\n
Center of Mass and Moments of Inertia<\/a><\/td>\nEngineering<\/td>\n<\/tr>\n
Optimization<\/a><\/td>\nEconomics<\/td>\n<\/tr>\n
Production Function<\/a><\/td>\nEconomics<\/td>\n<\/tr>\n
Small Steps to the Peak<\/a><\/td>\nComputer Science<\/td>\n<\/tr>\n
Integrals inside Integrals<\/a><\/td>\nComputer Science<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n
Capstone Project Assignments\u00a0\u2013 (Learning Outcome alignment is listed on each assignment)<\/th>\n<\/tr>\n<\/thead>\n
Renovating a Castle<\/th>\n<\/th>\n<\/tr>\n
The Beginning <\/a><\/td>\nPart 1<\/td>\n<\/tr>\n
Minor Improvements <\/a><\/td>\nPart 2<\/td>\n<\/tr>\n
The Courtyard<\/a><\/td>\nPart 3<\/td>\n<\/tr>\n
The Finale<\/a><\/td>\nFinal Project<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\t\t\t
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