{"id":1256,"date":"2021-07-02T17:36:36","date_gmt":"2021-07-02T17:36:36","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus2\/chapter\/assignments\/"},"modified":"2022-05-20T15:49:44","modified_gmt":"2022-05-20T15:49:44","slug":"assignments","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus2\/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 II, 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\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: Approximating Areas with Unique Shapes<\/a><\/td>\r\nModule 1: Integration<\/td>\r\n<\/tr>\r\n
Discussion 2: Theorems About Definite Integrals<\/a><\/td>\r\nModule 1: Integration<\/td>\r\n<\/tr>\r\n
Discussion 3: Volume and Surface Area in Real Life<\/a><\/td>\r\nModule 2: Applications of Integration<\/td>\r\n<\/tr>\r\n
Discussion 4: Newton\u2019s Law of Cooling<\/a><\/td>\r\nModule 2: Applications of Integration<\/td>\r\n<\/tr>\r\n
Discussion 5: Integration Techniques<\/a><\/td>\r\nModule 3: Techniques of Integration<\/td>\r\n<\/tr>\r\n
Discussion 6: Numerical Integration<\/a><\/td>\r\nModule 3: Techniques of Integration<\/td>\r\n<\/tr>\r\n
Discussion 7: Euler\u2019s Method vs Runge-Kutta<\/a><\/td>\r\nModule 4: Differential Equations<\/td>\r\n<\/tr>\r\n
Discussion 8: Phase Planes<\/a><\/td>\r\nModule 4: Differential Equations<\/td>\r\n<\/tr>\r\n
Discussion 9: Substitutions<\/a><\/td>\r\nModule 4: Differential Equations<\/td>\r\n<\/tr>\r\n
Discussion 10: Areas of Iterative Objects<\/a><\/td>\r\nModule 5: Sequences and Series<\/td>\r\n<\/tr>\r\n
Discussion 11: Comparing Convergence Tests<\/a><\/td>\r\nModule 5: Sequences and Series<\/td>\r\n<\/tr>\r\n
Discussion 12: Koch Snowflake<\/a><\/td>\r\nModule 5: Sequences and Series<\/td>\r\n<\/tr>\r\n
Discussion 13: Finding Taylor Series<\/a><\/td>\r\nModule 6: Power Series<\/td>\r\n<\/tr>\r\n
Discussion 14: Integration<\/a><\/td>\r\nModule 6: Power Series<\/td>\r\n<\/tr>\r\n
Discussion 15: Plotting Parametric Equations<\/a><\/td>\r\nModule 7: Parametric Equations and Polar Coordinates<\/td>\r\n<\/tr>\r\n
Discussion 16: Areas in Rectangular and Polar Coordinates<\/a><\/td>\r\nModule 7: Parametric Equations and Polar Coordinates<\/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
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
A Parachutist in Free Fall<\/a><\/td>\r\nModule 1: Integration<\/td>\r\n<\/tr>\r\n
Engineering the Grand Canyon Skywalk<\/a><\/td>\r\nModule 2: Applications of Integration<\/td>\r\n<\/tr>\r\n
Laplace Transforms<\/a><\/td>\r\nModule 3: Techniques of Integration<\/td>\r\n<\/tr>\r\n
Logistic Equation with a Threshold Population<\/a><\/td>\r\nModule 4: Differential Equations<\/td>\r\n<\/tr>\r\n
Fibonacci Numbers<\/a><\/td>\r\nModule 5: Sequences and Series<\/td>\r\n<\/tr>\r\n
Series Converging to [latex]\\pi[\/latex] and [latex]\\frac{1}{\\pi} [\/latex]<\/a><\/td>\r\nModule 5: Sequences and Series<\/td>\r\n<\/tr>\r\n
Proving the [latex]e[\/latex] is Irrational<\/a><\/td>\r\nModule 6: Power Series<\/td>\r\n<\/tr>\r\n
The Witch of Agnesi<\/a><\/td>\r\nModule 7: Parametric Equations and Polar Coordinates<\/td>\r\n<\/tr>\r\n
Travels With My Ant: The Curtate and Prolate Cycloids<\/a><\/td>\r\nModule 7: Parametric Equations and Polar Coordinates<\/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
Differential Equations and Population Models<\/a><\/td>\r\nBiology<\/td>\r\n<\/tr>\r\n
Logistic Equation<\/a><\/td>\r\nBiology<\/td>\r\n<\/tr>\r\n
Taylor Series Approximation\r\n<\/a><\/td>\r\nPhysics<\/td>\r\n<\/tr>\r\n
Mass, Center of Mass<\/a><\/td>\r\nPhysics<\/td>\r\n<\/tr>\r\n
Distributed Loads on a Beam<\/a><\/td>\r\nEngineering<\/td>\r\n<\/tr>\r\n
Hydrostatic Force on a Dam<\/a><\/td>\r\nEngineering<\/td>\r\n<\/tr>\r\n
Surplus<\/a><\/td>\r\nEconomics<\/td>\r\n<\/tr>\r\n
Lorenz Curve<\/a><\/td>\r\nEconomics<\/td>\r\n<\/tr>\r\n
Approximating Transcendental Functions<\/a><\/td>\r\nComputer Science<\/td>\r\n<\/tr>\r\n
Midpoint, Trapezoidal, and Simpson\u2019s Rule<\/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\r\n
Capstone Project Assignments\u00a0\u2013 (Learning Outcome alignment is listed on each assignment)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Agnesi Island Wildlife<\/th>\r\n<\/th>\r\n<\/tr>\r\n
Population Analysis<\/a><\/td>\r\nPart 1<\/td>\r\n<\/tr>\r\n
Island Maintenance <\/a><\/td>\r\nPart 2<\/td>\r\n<\/tr>\r\n
Temperature Impacts<\/a><\/td>\r\nPart 3<\/td>\r\n<\/tr>\r\n
Temperature Regulation<\/a><\/td>\r\nPart 4<\/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 II, 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\n\n
Discussion Prompts and Alignment<\/th>\n<\/tr>\n<\/thead>\n
Discussion Title<\/th>\nModule<\/th>\n<\/tr>\n
Discussion 1: Approximating Areas with Unique Shapes<\/a><\/td>\nModule 1: Integration<\/td>\n<\/tr>\n
Discussion 2: Theorems About Definite Integrals<\/a><\/td>\nModule 1: Integration<\/td>\n<\/tr>\n
Discussion 3: Volume and Surface Area in Real Life<\/a><\/td>\nModule 2: Applications of Integration<\/td>\n<\/tr>\n
Discussion 4: Newton\u2019s Law of Cooling<\/a><\/td>\nModule 2: Applications of Integration<\/td>\n<\/tr>\n
Discussion 5: Integration Techniques<\/a><\/td>\nModule 3: Techniques of Integration<\/td>\n<\/tr>\n
Discussion 6: Numerical Integration<\/a><\/td>\nModule 3: Techniques of Integration<\/td>\n<\/tr>\n
Discussion 7: Euler\u2019s Method vs Runge-Kutta<\/a><\/td>\nModule 4: Differential Equations<\/td>\n<\/tr>\n
Discussion 8: Phase Planes<\/a><\/td>\nModule 4: Differential Equations<\/td>\n<\/tr>\n
Discussion 9: Substitutions<\/a><\/td>\nModule 4: Differential Equations<\/td>\n<\/tr>\n
Discussion 10: Areas of Iterative Objects<\/a><\/td>\nModule 5: Sequences and Series<\/td>\n<\/tr>\n
Discussion 11: Comparing Convergence Tests<\/a><\/td>\nModule 5: Sequences and Series<\/td>\n<\/tr>\n
Discussion 12: Koch Snowflake<\/a><\/td>\nModule 5: Sequences and Series<\/td>\n<\/tr>\n
Discussion 13: Finding Taylor Series<\/a><\/td>\nModule 6: Power Series<\/td>\n<\/tr>\n
Discussion 14: Integration<\/a><\/td>\nModule 6: Power Series<\/td>\n<\/tr>\n
Discussion 15: Plotting Parametric Equations<\/a><\/td>\nModule 7: Parametric Equations and Polar Coordinates<\/td>\n<\/tr>\n
Discussion 16: Areas in Rectangular and Polar Coordinates<\/a><\/td>\nModule 7: Parametric Equations and Polar Coordinates<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\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
A Parachutist in Free Fall<\/a><\/td>\nModule 1: Integration<\/td>\n<\/tr>\n
Engineering the Grand Canyon Skywalk<\/a><\/td>\nModule 2: Applications of Integration<\/td>\n<\/tr>\n
Laplace Transforms<\/a><\/td>\nModule 3: Techniques of Integration<\/td>\n<\/tr>\n
Logistic Equation with a Threshold Population<\/a><\/td>\nModule 4: Differential Equations<\/td>\n<\/tr>\n
Fibonacci Numbers<\/a><\/td>\nModule 5: Sequences and Series<\/td>\n<\/tr>\n
Series Converging to [latex]\\pi[\/latex] and [latex]\\frac{1}{\\pi}[\/latex]<\/a><\/td>\nModule 5: Sequences and Series<\/td>\n<\/tr>\n
Proving the [latex]e[\/latex] is Irrational<\/a><\/td>\nModule 6: Power Series<\/td>\n<\/tr>\n
The Witch of Agnesi<\/a><\/td>\nModule 7: Parametric Equations and Polar Coordinates<\/td>\n<\/tr>\n
Travels With My Ant: The Curtate and Prolate Cycloids<\/a><\/td>\nModule 7: Parametric Equations and Polar Coordinates<\/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
Differential Equations and Population Models<\/a><\/td>\nBiology<\/td>\n<\/tr>\n
Logistic Equation<\/a><\/td>\nBiology<\/td>\n<\/tr>\n
Taylor Series Approximation
\n<\/a><\/td>\n		Physics<\/td>\n<\/tr>\n
Mass, Center of Mass<\/a><\/td>\nPhysics<\/td>\n<\/tr>\n
Distributed Loads on a Beam<\/a><\/td>\nEngineering<\/td>\n<\/tr>\n
Hydrostatic Force on a Dam<\/a><\/td>\nEngineering<\/td>\n<\/tr>\n
Surplus<\/a><\/td>\nEconomics<\/td>\n<\/tr>\n
Lorenz Curve<\/a><\/td>\nEconomics<\/td>\n<\/tr>\n
Approximating Transcendental Functions<\/a><\/td>\nComputer Science<\/td>\n<\/tr>\n
Midpoint, Trapezoidal, and Simpson\u2019s Rule<\/a><\/td>\nComputer Science<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\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
Agnesi Island Wildlife<\/th>\n<\/th>\n<\/tr>\n
Population Analysis<\/a><\/td>\nPart 1<\/td>\n<\/tr>\n
Island Maintenance <\/a><\/td>\nPart 2<\/td>\n<\/tr>\n
Temperature Impacts<\/a><\/td>\nPart 3<\/td>\n<\/tr>\n
Temperature Regulation<\/a><\/td>\nPart 4<\/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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Candela Citations<\/h3>\n\t\t\t\t\t
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CC licensed content, Original<\/div>