Module 1: Parametric Equations and Polar Coordinates<\/h2>\r\n\r\n \t- Parametric Equations<\/li>\r\n \t
- Calculus of Parametric Curves<\/li>\r\n \t
- Polar Coordinates<\/li>\r\n \t
- Area and Arc Length in Polar Coordinates<\/li>\r\n \t
- Conic Sections<\/li>\r\n<\/ul>\r\n
Module 2: Vectors in Space<\/h2>\r\n\r\n \t- Vectors in the Plane<\/li>\r\n \t
- Vectors in Three Dimensions<\/li>\r\n \t
- The Dot Product<\/li>\r\n \t
- The Cross Product<\/li>\r\n \t
- Equations of Lines and Planes in Space<\/li>\r\n\t
- Quadric Surfaces<\/li>\r\n\t
- Cylindrical and Spherical Coordinates<\/li>\r\n<\/ul>\r\n
Module 3: Vector-Valued Functions<\/h2>\r\n\r\n\t- Vector-Valued Functions and Space Curves<\/li>\r\n\t
- Calculus of Vector-Valued Functions<\/li>\r\n\t
- Arc Length and Curvature<\/li>\r\n\t
- Motion in Space<\/li>\r\n\r\n<\/ul>\r\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\r\n\r\n\t- Functions of Several Variables<\/li>\r\n\t
- Limits and Continuity<\/li>\r\n\t
- Partial Derivatives<\/li>\r\n\t
- Tangent Planes and Linear Approximations<\/li>\r\n\t
- The Chain Rule<\/li>\r\n\t
- Directional Derivatives and the Gradient<\/li>\r\n\t
- Maxima\/Minima Problems<\/li>\r\n\t
- Lagrange Multipliers<\/li>\r\n\r\n<\/ul>\r\n
Module 5: Multiple Integration<\/h2>\r\n\r\n\t- Double Integrals over Rectangular Regions<\/li>\r\n\t
- Double Integrals over General Regions<\/li>\r\n\t
- Double Integrals in Polar Coordinates<\/li>\r\n\t
- Triple Integrals<\/li>\r\n\t
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\r\n\t
- Calculating Centers of Mass and Moments of Inertia<\/li>\r\n\t
- Change of Variables in Multiple Integrals<\/li>\r\n\r\n<\/ul>\r\n
Module 6: Vector Calculus<\/h2>\r\n\r\n\t- Vector Fields<\/li>\r\n\t
- Line Integrals<\/li>\r\n\t
- Conservative Vector Fields<\/li>\r\n\t
- Green\u2019s Theorem<\/li>\r\n\t
- Divergence and Curl<\/li>\r\n\t
- Surface Integrals<\/li>\r\n\t
- Stokes\u2019 Theorem<\/li>\r\n\t
- The Divergence Theorem<\/li>\r\n\r\n<\/ul>\r\n
Module 7: Second-Order Differential Equations<\/h2>\r\n\r\n\t- Second-Order Linear Equations<\/li>\r\n\t
- Nonhomogeneous Linear Equations<\/li>\r\n\t
- Applications<\/li>\r\n\t
- Series Solutions of Differential Equations<\/li>\r\n\r\n<\/ul>\r\n","rendered":"
![\"an](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01212659\/binoculars2.png\")
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n\n- Parametric Equations<\/li>\n
- Calculus of Parametric Curves<\/li>\n
- Polar Coordinates<\/li>\n
- Area and Arc Length in Polar Coordinates<\/li>\n
- Conic Sections<\/li>\n<\/ul>\n
Module 2: Vectors in Space<\/h2>\n\n- Vectors in the Plane<\/li>\n
- Vectors in Three Dimensions<\/li>\n
- The Dot Product<\/li>\n
- The Cross Product<\/li>\n
- Equations of Lines and Planes in Space<\/li>\n
- Quadric Surfaces<\/li>\n
- Cylindrical and Spherical Coordinates<\/li>\n<\/ul>\n
Module 3: Vector-Valued Functions<\/h2>\n\n- Vector-Valued Functions and Space Curves<\/li>\n
- Calculus of Vector-Valued Functions<\/li>\n
- Arc Length and Curvature<\/li>\n
- Motion in Space<\/li>\n<\/ul>\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n\n- Functions of Several Variables<\/li>\n
- Limits and Continuity<\/li>\n
- Partial Derivatives<\/li>\n
- Tangent Planes and Linear Approximations<\/li>\n
- The Chain Rule<\/li>\n
- Directional Derivatives and the Gradient<\/li>\n
- Maxima\/Minima Problems<\/li>\n
- Lagrange Multipliers<\/li>\n<\/ul>\n
Module 5: Multiple Integration<\/h2>\n\n- Double Integrals over Rectangular Regions<\/li>\n
- Double Integrals over General Regions<\/li>\n
- Double Integrals in Polar Coordinates<\/li>\n
- Triple Integrals<\/li>\n
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\n
- Calculating Centers of Mass and Moments of Inertia<\/li>\n
- Change of Variables in Multiple Integrals<\/li>\n<\/ul>\n
Module 6: Vector Calculus<\/h2>\n\n- Vector Fields<\/li>\n
- Line Integrals<\/li>\n
- Conservative Vector Fields<\/li>\n
- Green\u2019s Theorem<\/li>\n
- Divergence and Curl<\/li>\n
- Surface Integrals<\/li>\n
- Stokes\u2019 Theorem<\/li>\n
- The Divergence Theorem<\/li>\n<\/ul>\n
Module 7: Second-Order Differential Equations<\/h2>\n\n- Second-Order Linear Equations<\/li>\n
- Nonhomogeneous Linear Equations<\/li>\n
- Applications<\/li>\n
- Series Solutions of Differential Equations<\/li>\n<\/ul>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t \n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>- Course Contents at a Glance. Provided by<\/strong>: Lumen Learning. License<\/strong>: CC BY: Attribution<\/a><\/em><\/li><\/ul>CC licensed content, Shared previously<\/div>
- Binoculars Icon. Authored by<\/strong>: Musmellow. Provided by<\/strong>: Noun Project. Located at<\/strong>: https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. License<\/strong>: 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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4160","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/349141"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions"}],"predecessor-version":[{"id":6041,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions\/6041"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=4160"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=4160"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=4160"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=4160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 2: Vectors in Space<\/h2>\r\n\r\n \t- Vectors in the Plane<\/li>\r\n \t
- Vectors in Three Dimensions<\/li>\r\n \t
- The Dot Product<\/li>\r\n \t
- The Cross Product<\/li>\r\n \t
- Equations of Lines and Planes in Space<\/li>\r\n\t
- Quadric Surfaces<\/li>\r\n\t
- Cylindrical and Spherical Coordinates<\/li>\r\n<\/ul>\r\n
Module 3: Vector-Valued Functions<\/h2>\r\n\r\n\t- Vector-Valued Functions and Space Curves<\/li>\r\n\t
- Calculus of Vector-Valued Functions<\/li>\r\n\t
- Arc Length and Curvature<\/li>\r\n\t
- Motion in Space<\/li>\r\n\r\n<\/ul>\r\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\r\n\r\n\t- Functions of Several Variables<\/li>\r\n\t
- Limits and Continuity<\/li>\r\n\t
- Partial Derivatives<\/li>\r\n\t
- Tangent Planes and Linear Approximations<\/li>\r\n\t
- The Chain Rule<\/li>\r\n\t
- Directional Derivatives and the Gradient<\/li>\r\n\t
- Maxima\/Minima Problems<\/li>\r\n\t
- Lagrange Multipliers<\/li>\r\n\r\n<\/ul>\r\n
Module 5: Multiple Integration<\/h2>\r\n\r\n\t- Double Integrals over Rectangular Regions<\/li>\r\n\t
- Double Integrals over General Regions<\/li>\r\n\t
- Double Integrals in Polar Coordinates<\/li>\r\n\t
- Triple Integrals<\/li>\r\n\t
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\r\n\t
- Calculating Centers of Mass and Moments of Inertia<\/li>\r\n\t
- Change of Variables in Multiple Integrals<\/li>\r\n\r\n<\/ul>\r\n
Module 6: Vector Calculus<\/h2>\r\n\r\n\t- Vector Fields<\/li>\r\n\t
- Line Integrals<\/li>\r\n\t
- Conservative Vector Fields<\/li>\r\n\t
- Green\u2019s Theorem<\/li>\r\n\t
- Divergence and Curl<\/li>\r\n\t
- Surface Integrals<\/li>\r\n\t
- Stokes\u2019 Theorem<\/li>\r\n\t
- The Divergence Theorem<\/li>\r\n\r\n<\/ul>\r\n
Module 7: Second-Order Differential Equations<\/h2>\r\n\r\n\t- Second-Order Linear Equations<\/li>\r\n\t
- Nonhomogeneous Linear Equations<\/li>\r\n\t
- Applications<\/li>\r\n\t
- Series Solutions of Differential Equations<\/li>\r\n\r\n<\/ul>\r\n","rendered":"
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n\n- Parametric Equations<\/li>\n
- Calculus of Parametric Curves<\/li>\n
- Polar Coordinates<\/li>\n
- Area and Arc Length in Polar Coordinates<\/li>\n
- Conic Sections<\/li>\n<\/ul>\n
Module 2: Vectors in Space<\/h2>\n\n- Vectors in the Plane<\/li>\n
- Vectors in Three Dimensions<\/li>\n
- The Dot Product<\/li>\n
- The Cross Product<\/li>\n
- Equations of Lines and Planes in Space<\/li>\n
- Quadric Surfaces<\/li>\n
- Cylindrical and Spherical Coordinates<\/li>\n<\/ul>\n
Module 3: Vector-Valued Functions<\/h2>\n\n- Vector-Valued Functions and Space Curves<\/li>\n
- Calculus of Vector-Valued Functions<\/li>\n
- Arc Length and Curvature<\/li>\n
- Motion in Space<\/li>\n<\/ul>\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n\n- Functions of Several Variables<\/li>\n
- Limits and Continuity<\/li>\n
- Partial Derivatives<\/li>\n
- Tangent Planes and Linear Approximations<\/li>\n
- The Chain Rule<\/li>\n
- Directional Derivatives and the Gradient<\/li>\n
- Maxima\/Minima Problems<\/li>\n
- Lagrange Multipliers<\/li>\n<\/ul>\n
Module 5: Multiple Integration<\/h2>\n\n- Double Integrals over Rectangular Regions<\/li>\n
- Double Integrals over General Regions<\/li>\n
- Double Integrals in Polar Coordinates<\/li>\n
- Triple Integrals<\/li>\n
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\n
- Calculating Centers of Mass and Moments of Inertia<\/li>\n
- Change of Variables in Multiple Integrals<\/li>\n<\/ul>\n
Module 6: Vector Calculus<\/h2>\n\n- Vector Fields<\/li>\n
- Line Integrals<\/li>\n
- Conservative Vector Fields<\/li>\n
- Green\u2019s Theorem<\/li>\n
- Divergence and Curl<\/li>\n
- Surface Integrals<\/li>\n
- Stokes\u2019 Theorem<\/li>\n
- The Divergence Theorem<\/li>\n<\/ul>\n
Module 7: Second-Order Differential Equations<\/h2>\n\n- Second-Order Linear Equations<\/li>\n
- Nonhomogeneous Linear Equations<\/li>\n
- Applications<\/li>\n
- Series Solutions of Differential Equations<\/li>\n<\/ul>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t \n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>- Course Contents at a Glance. Provided by<\/strong>: Lumen Learning. License<\/strong>: CC BY: Attribution<\/a><\/em><\/li><\/ul>CC licensed content, Shared previously<\/div>
- Binoculars Icon. Authored by<\/strong>: Musmellow. Provided by<\/strong>: Noun Project. Located at<\/strong>: https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. License<\/strong>: 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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4160","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/349141"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions"}],"predecessor-version":[{"id":6041,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions\/6041"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=4160"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=4160"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=4160"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=4160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 3: Vector-Valued Functions<\/h2>\r\n\r\n\t- Vector-Valued Functions and Space Curves<\/li>\r\n\t
- Calculus of Vector-Valued Functions<\/li>\r\n\t
- Arc Length and Curvature<\/li>\r\n\t
- Motion in Space<\/li>\r\n\r\n<\/ul>\r\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\r\n\r\n\t- Functions of Several Variables<\/li>\r\n\t
- Limits and Continuity<\/li>\r\n\t
- Partial Derivatives<\/li>\r\n\t
- Tangent Planes and Linear Approximations<\/li>\r\n\t
- The Chain Rule<\/li>\r\n\t
- Directional Derivatives and the Gradient<\/li>\r\n\t
- Maxima\/Minima Problems<\/li>\r\n\t
- Lagrange Multipliers<\/li>\r\n\r\n<\/ul>\r\n
Module 5: Multiple Integration<\/h2>\r\n\r\n\t- Double Integrals over Rectangular Regions<\/li>\r\n\t
- Double Integrals over General Regions<\/li>\r\n\t
- Double Integrals in Polar Coordinates<\/li>\r\n\t
- Triple Integrals<\/li>\r\n\t
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\r\n\t
- Calculating Centers of Mass and Moments of Inertia<\/li>\r\n\t
- Change of Variables in Multiple Integrals<\/li>\r\n\r\n<\/ul>\r\n
Module 6: Vector Calculus<\/h2>\r\n\r\n\t- Vector Fields<\/li>\r\n\t
- Line Integrals<\/li>\r\n\t
- Conservative Vector Fields<\/li>\r\n\t
- Green\u2019s Theorem<\/li>\r\n\t
- Divergence and Curl<\/li>\r\n\t
- Surface Integrals<\/li>\r\n\t
- Stokes\u2019 Theorem<\/li>\r\n\t
- The Divergence Theorem<\/li>\r\n\r\n<\/ul>\r\n
Module 7: Second-Order Differential Equations<\/h2>\r\n\r\n\t- Second-Order Linear Equations<\/li>\r\n\t
- Nonhomogeneous Linear Equations<\/li>\r\n\t
- Applications<\/li>\r\n\t
- Series Solutions of Differential Equations<\/li>\r\n\r\n<\/ul>\r\n","rendered":"
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n\n- Parametric Equations<\/li>\n
- Calculus of Parametric Curves<\/li>\n
- Polar Coordinates<\/li>\n
- Area and Arc Length in Polar Coordinates<\/li>\n
- Conic Sections<\/li>\n<\/ul>\n
Module 2: Vectors in Space<\/h2>\n\n- Vectors in the Plane<\/li>\n
- Vectors in Three Dimensions<\/li>\n
- The Dot Product<\/li>\n
- The Cross Product<\/li>\n
- Equations of Lines and Planes in Space<\/li>\n
- Quadric Surfaces<\/li>\n
- Cylindrical and Spherical Coordinates<\/li>\n<\/ul>\n
Module 3: Vector-Valued Functions<\/h2>\n\n- Vector-Valued Functions and Space Curves<\/li>\n
- Calculus of Vector-Valued Functions<\/li>\n
- Arc Length and Curvature<\/li>\n
- Motion in Space<\/li>\n<\/ul>\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n\n- Functions of Several Variables<\/li>\n
- Limits and Continuity<\/li>\n
- Partial Derivatives<\/li>\n
- Tangent Planes and Linear Approximations<\/li>\n
- The Chain Rule<\/li>\n
- Directional Derivatives and the Gradient<\/li>\n
- Maxima\/Minima Problems<\/li>\n
- Lagrange Multipliers<\/li>\n<\/ul>\n
Module 5: Multiple Integration<\/h2>\n\n- Double Integrals over Rectangular Regions<\/li>\n
- Double Integrals over General Regions<\/li>\n
- Double Integrals in Polar Coordinates<\/li>\n
- Triple Integrals<\/li>\n
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\n
- Calculating Centers of Mass and Moments of Inertia<\/li>\n
- Change of Variables in Multiple Integrals<\/li>\n<\/ul>\n
Module 6: Vector Calculus<\/h2>\n\n- Vector Fields<\/li>\n
- Line Integrals<\/li>\n
- Conservative Vector Fields<\/li>\n
- Green\u2019s Theorem<\/li>\n
- Divergence and Curl<\/li>\n
- Surface Integrals<\/li>\n
- Stokes\u2019 Theorem<\/li>\n
- The Divergence Theorem<\/li>\n<\/ul>\n
Module 7: Second-Order Differential Equations<\/h2>\n\n- Second-Order Linear Equations<\/li>\n
- Nonhomogeneous Linear Equations<\/li>\n
- Applications<\/li>\n
- Series Solutions of Differential Equations<\/li>\n<\/ul>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t \n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>- Course Contents at a Glance. Provided by<\/strong>: Lumen Learning. License<\/strong>: CC BY: Attribution<\/a><\/em><\/li><\/ul>CC licensed content, Shared previously<\/div>
- Binoculars Icon. Authored by<\/strong>: Musmellow. Provided by<\/strong>: Noun Project. Located at<\/strong>: https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. License<\/strong>: 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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4160","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/349141"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions"}],"predecessor-version":[{"id":6041,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions\/6041"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=4160"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=4160"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=4160"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=4160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 4: Differentiation of Functions of Several Variables<\/h2>\r\n\r\n\t- Functions of Several Variables<\/li>\r\n\t
- Limits and Continuity<\/li>\r\n\t
- Partial Derivatives<\/li>\r\n\t
- Tangent Planes and Linear Approximations<\/li>\r\n\t
- The Chain Rule<\/li>\r\n\t
- Directional Derivatives and the Gradient<\/li>\r\n\t
- Maxima\/Minima Problems<\/li>\r\n\t
- Lagrange Multipliers<\/li>\r\n\r\n<\/ul>\r\n
Module 5: Multiple Integration<\/h2>\r\n\r\n\t- Double Integrals over Rectangular Regions<\/li>\r\n\t
- Double Integrals over General Regions<\/li>\r\n\t
- Double Integrals in Polar Coordinates<\/li>\r\n\t
- Triple Integrals<\/li>\r\n\t
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\r\n\t
- Calculating Centers of Mass and Moments of Inertia<\/li>\r\n\t
- Change of Variables in Multiple Integrals<\/li>\r\n\r\n<\/ul>\r\n
Module 6: Vector Calculus<\/h2>\r\n\r\n\t- Vector Fields<\/li>\r\n\t
- Line Integrals<\/li>\r\n\t
- Conservative Vector Fields<\/li>\r\n\t
- Green\u2019s Theorem<\/li>\r\n\t
- Divergence and Curl<\/li>\r\n\t
- Surface Integrals<\/li>\r\n\t
- Stokes\u2019 Theorem<\/li>\r\n\t
- The Divergence Theorem<\/li>\r\n\r\n<\/ul>\r\n
Module 7: Second-Order Differential Equations<\/h2>\r\n\r\n\t- Second-Order Linear Equations<\/li>\r\n\t
- Nonhomogeneous Linear Equations<\/li>\r\n\t
- Applications<\/li>\r\n\t
- Series Solutions of Differential Equations<\/li>\r\n\r\n<\/ul>\r\n","rendered":"
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n\n- Parametric Equations<\/li>\n
- Calculus of Parametric Curves<\/li>\n
- Polar Coordinates<\/li>\n
- Area and Arc Length in Polar Coordinates<\/li>\n
- Conic Sections<\/li>\n<\/ul>\n
Module 2: Vectors in Space<\/h2>\n\n- Vectors in the Plane<\/li>\n
- Vectors in Three Dimensions<\/li>\n
- The Dot Product<\/li>\n
- The Cross Product<\/li>\n
- Equations of Lines and Planes in Space<\/li>\n
- Quadric Surfaces<\/li>\n
- Cylindrical and Spherical Coordinates<\/li>\n<\/ul>\n
Module 3: Vector-Valued Functions<\/h2>\n\n- Vector-Valued Functions and Space Curves<\/li>\n
- Calculus of Vector-Valued Functions<\/li>\n
- Arc Length and Curvature<\/li>\n
- Motion in Space<\/li>\n<\/ul>\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n\n- Functions of Several Variables<\/li>\n
- Limits and Continuity<\/li>\n
- Partial Derivatives<\/li>\n
- Tangent Planes and Linear Approximations<\/li>\n
- The Chain Rule<\/li>\n
- Directional Derivatives and the Gradient<\/li>\n
- Maxima\/Minima Problems<\/li>\n
- Lagrange Multipliers<\/li>\n<\/ul>\n
Module 5: Multiple Integration<\/h2>\n\n- Double Integrals over Rectangular Regions<\/li>\n
- Double Integrals over General Regions<\/li>\n
- Double Integrals in Polar Coordinates<\/li>\n
- Triple Integrals<\/li>\n
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\n
- Calculating Centers of Mass and Moments of Inertia<\/li>\n
- Change of Variables in Multiple Integrals<\/li>\n<\/ul>\n
Module 6: Vector Calculus<\/h2>\n\n- Vector Fields<\/li>\n
- Line Integrals<\/li>\n
- Conservative Vector Fields<\/li>\n
- Green\u2019s Theorem<\/li>\n
- Divergence and Curl<\/li>\n
- Surface Integrals<\/li>\n
- Stokes\u2019 Theorem<\/li>\n
- The Divergence Theorem<\/li>\n<\/ul>\n
Module 7: Second-Order Differential Equations<\/h2>\n\n- Second-Order Linear Equations<\/li>\n
- Nonhomogeneous Linear Equations<\/li>\n
- Applications<\/li>\n
- Series Solutions of Differential Equations<\/li>\n<\/ul>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t \n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>- Course Contents at a Glance. Provided by<\/strong>: Lumen Learning. License<\/strong>: CC BY: Attribution<\/a><\/em><\/li><\/ul>CC licensed content, Shared previously<\/div>
- Binoculars Icon. Authored by<\/strong>: Musmellow. Provided by<\/strong>: Noun Project. Located at<\/strong>: https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. License<\/strong>: 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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4160","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/349141"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions"}],"predecessor-version":[{"id":6041,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions\/6041"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=4160"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=4160"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=4160"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=4160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 5: Multiple Integration<\/h2>\r\n\r\n\t- Double Integrals over Rectangular Regions<\/li>\r\n\t
- Double Integrals over General Regions<\/li>\r\n\t
- Double Integrals in Polar Coordinates<\/li>\r\n\t
- Triple Integrals<\/li>\r\n\t
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\r\n\t
- Calculating Centers of Mass and Moments of Inertia<\/li>\r\n\t
- Change of Variables in Multiple Integrals<\/li>\r\n\r\n<\/ul>\r\n
Module 6: Vector Calculus<\/h2>\r\n\r\n\t- Vector Fields<\/li>\r\n\t
- Line Integrals<\/li>\r\n\t
- Conservative Vector Fields<\/li>\r\n\t
- Green\u2019s Theorem<\/li>\r\n\t
- Divergence and Curl<\/li>\r\n\t
- Surface Integrals<\/li>\r\n\t
- Stokes\u2019 Theorem<\/li>\r\n\t
- The Divergence Theorem<\/li>\r\n\r\n<\/ul>\r\n
Module 7: Second-Order Differential Equations<\/h2>\r\n\r\n\t- Second-Order Linear Equations<\/li>\r\n\t
- Nonhomogeneous Linear Equations<\/li>\r\n\t
- Applications<\/li>\r\n\t
- Series Solutions of Differential Equations<\/li>\r\n\r\n<\/ul>\r\n","rendered":"
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n\n- Parametric Equations<\/li>\n
- Calculus of Parametric Curves<\/li>\n
- Polar Coordinates<\/li>\n
- Area and Arc Length in Polar Coordinates<\/li>\n
- Conic Sections<\/li>\n<\/ul>\n
Module 2: Vectors in Space<\/h2>\n\n- Vectors in the Plane<\/li>\n
- Vectors in Three Dimensions<\/li>\n
- The Dot Product<\/li>\n
- The Cross Product<\/li>\n
- Equations of Lines and Planes in Space<\/li>\n
- Quadric Surfaces<\/li>\n
- Cylindrical and Spherical Coordinates<\/li>\n<\/ul>\n
Module 3: Vector-Valued Functions<\/h2>\n\n- Vector-Valued Functions and Space Curves<\/li>\n
- Calculus of Vector-Valued Functions<\/li>\n
- Arc Length and Curvature<\/li>\n
- Motion in Space<\/li>\n<\/ul>\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n\n- Functions of Several Variables<\/li>\n
- Limits and Continuity<\/li>\n
- Partial Derivatives<\/li>\n
- Tangent Planes and Linear Approximations<\/li>\n
- The Chain Rule<\/li>\n
- Directional Derivatives and the Gradient<\/li>\n
- Maxima\/Minima Problems<\/li>\n
- Lagrange Multipliers<\/li>\n<\/ul>\n
Module 5: Multiple Integration<\/h2>\n\n- Double Integrals over Rectangular Regions<\/li>\n
- Double Integrals over General Regions<\/li>\n
- Double Integrals in Polar Coordinates<\/li>\n
- Triple Integrals<\/li>\n
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\n
- Calculating Centers of Mass and Moments of Inertia<\/li>\n
- Change of Variables in Multiple Integrals<\/li>\n<\/ul>\n
Module 6: Vector Calculus<\/h2>\n\n- Vector Fields<\/li>\n
- Line Integrals<\/li>\n
- Conservative Vector Fields<\/li>\n
- Green\u2019s Theorem<\/li>\n
- Divergence and Curl<\/li>\n
- Surface Integrals<\/li>\n
- Stokes\u2019 Theorem<\/li>\n
- The Divergence Theorem<\/li>\n<\/ul>\n
Module 7: Second-Order Differential Equations<\/h2>\n\n- Second-Order Linear Equations<\/li>\n
- Nonhomogeneous Linear Equations<\/li>\n
- Applications<\/li>\n
- Series Solutions of Differential Equations<\/li>\n<\/ul>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t \n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>- Course Contents at a Glance. Provided by<\/strong>: Lumen Learning. License<\/strong>: CC BY: Attribution<\/a><\/em><\/li><\/ul>CC licensed content, Shared previously<\/div>
- Binoculars Icon. Authored by<\/strong>: Musmellow. Provided by<\/strong>: Noun Project. Located at<\/strong>: https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. License<\/strong>: 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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4160","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/349141"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions"}],"predecessor-version":[{"id":6041,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions\/6041"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=4160"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=4160"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=4160"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=4160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 6: Vector Calculus<\/h2>\r\n\r\n\t- Vector Fields<\/li>\r\n\t
- Line Integrals<\/li>\r\n\t
- Conservative Vector Fields<\/li>\r\n\t
- Green\u2019s Theorem<\/li>\r\n\t
- Divergence and Curl<\/li>\r\n\t
- Surface Integrals<\/li>\r\n\t
- Stokes\u2019 Theorem<\/li>\r\n\t
- The Divergence Theorem<\/li>\r\n\r\n<\/ul>\r\n
Module 7: Second-Order Differential Equations<\/h2>\r\n\r\n\t- Second-Order Linear Equations<\/li>\r\n\t
- Nonhomogeneous Linear Equations<\/li>\r\n\t
- Applications<\/li>\r\n\t
- Series Solutions of Differential Equations<\/li>\r\n\r\n<\/ul>\r\n","rendered":"
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n\n- Parametric Equations<\/li>\n
- Calculus of Parametric Curves<\/li>\n
- Polar Coordinates<\/li>\n
- Area and Arc Length in Polar Coordinates<\/li>\n
- Conic Sections<\/li>\n<\/ul>\n
Module 2: Vectors in Space<\/h2>\n\n- Vectors in the Plane<\/li>\n
- Vectors in Three Dimensions<\/li>\n
- The Dot Product<\/li>\n
- The Cross Product<\/li>\n
- Equations of Lines and Planes in Space<\/li>\n
- Quadric Surfaces<\/li>\n
- Cylindrical and Spherical Coordinates<\/li>\n<\/ul>\n
Module 3: Vector-Valued Functions<\/h2>\n\n- Vector-Valued Functions and Space Curves<\/li>\n
- Calculus of Vector-Valued Functions<\/li>\n
- Arc Length and Curvature<\/li>\n
- Motion in Space<\/li>\n<\/ul>\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n\n- Functions of Several Variables<\/li>\n
- Limits and Continuity<\/li>\n
- Partial Derivatives<\/li>\n
- Tangent Planes and Linear Approximations<\/li>\n
- The Chain Rule<\/li>\n
- Directional Derivatives and the Gradient<\/li>\n
- Maxima\/Minima Problems<\/li>\n
- Lagrange Multipliers<\/li>\n<\/ul>\n
Module 5: Multiple Integration<\/h2>\n\n- Double Integrals over Rectangular Regions<\/li>\n
- Double Integrals over General Regions<\/li>\n
- Double Integrals in Polar Coordinates<\/li>\n
- Triple Integrals<\/li>\n
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\n
- Calculating Centers of Mass and Moments of Inertia<\/li>\n
- Change of Variables in Multiple Integrals<\/li>\n<\/ul>\n
Module 6: Vector Calculus<\/h2>\n\n- Vector Fields<\/li>\n
- Line Integrals<\/li>\n
- Conservative Vector Fields<\/li>\n
- Green\u2019s Theorem<\/li>\n
- Divergence and Curl<\/li>\n
- Surface Integrals<\/li>\n
- Stokes\u2019 Theorem<\/li>\n
- The Divergence Theorem<\/li>\n<\/ul>\n
Module 7: Second-Order Differential Equations<\/h2>\n\n- Second-Order Linear Equations<\/li>\n
- Nonhomogeneous Linear Equations<\/li>\n
- Applications<\/li>\n
- Series Solutions of Differential Equations<\/li>\n<\/ul>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t \n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>- Course Contents at a Glance. Provided by<\/strong>: Lumen Learning. License<\/strong>: CC BY: Attribution<\/a><\/em><\/li><\/ul>CC licensed content, Shared previously<\/div>
- Binoculars Icon. Authored by<\/strong>: Musmellow. Provided by<\/strong>: Noun Project. Located at<\/strong>: https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. License<\/strong>: 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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4160","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/349141"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions"}],"predecessor-version":[{"id":6041,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions\/6041"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=4160"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=4160"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=4160"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=4160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 7: Second-Order Differential Equations<\/h2>\r\n\r\n\t- Second-Order Linear Equations<\/li>\r\n\t
- Nonhomogeneous Linear Equations<\/li>\r\n\t
- Applications<\/li>\r\n\t
- Series Solutions of Differential Equations<\/li>\r\n\r\n<\/ul>\r\n","rendered":"
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n\n- Parametric Equations<\/li>\n
- Calculus of Parametric Curves<\/li>\n
- Polar Coordinates<\/li>\n
- Area and Arc Length in Polar Coordinates<\/li>\n
- Conic Sections<\/li>\n<\/ul>\n
Module 2: Vectors in Space<\/h2>\n\n- Vectors in the Plane<\/li>\n
- Vectors in Three Dimensions<\/li>\n
- The Dot Product<\/li>\n
- The Cross Product<\/li>\n
- Equations of Lines and Planes in Space<\/li>\n
- Quadric Surfaces<\/li>\n
- Cylindrical and Spherical Coordinates<\/li>\n<\/ul>\n
Module 3: Vector-Valued Functions<\/h2>\n\n- Vector-Valued Functions and Space Curves<\/li>\n
- Calculus of Vector-Valued Functions<\/li>\n
- Arc Length and Curvature<\/li>\n
- Motion in Space<\/li>\n<\/ul>\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n\n- Functions of Several Variables<\/li>\n
- Limits and Continuity<\/li>\n
- Partial Derivatives<\/li>\n
- Tangent Planes and Linear Approximations<\/li>\n
- The Chain Rule<\/li>\n
- Directional Derivatives and the Gradient<\/li>\n
- Maxima\/Minima Problems<\/li>\n
- Lagrange Multipliers<\/li>\n<\/ul>\n
Module 5: Multiple Integration<\/h2>\n\n- Double Integrals over Rectangular Regions<\/li>\n
- Double Integrals over General Regions<\/li>\n
- Double Integrals in Polar Coordinates<\/li>\n
- Triple Integrals<\/li>\n
- Triple Integrals in Cylindrical and Spherical Coordinates<\/li>\n
- Calculating Centers of Mass and Moments of Inertia<\/li>\n
- Change of Variables in Multiple Integrals<\/li>\n<\/ul>\n
Module 6: Vector Calculus<\/h2>\n\n- Vector Fields<\/li>\n
- Line Integrals<\/li>\n
- Conservative Vector Fields<\/li>\n
- Green\u2019s Theorem<\/li>\n
- Divergence and Curl<\/li>\n
- Surface Integrals<\/li>\n
- Stokes\u2019 Theorem<\/li>\n
- The Divergence Theorem<\/li>\n<\/ul>\n
Module 7: Second-Order Differential Equations<\/h2>\n\n- Second-Order Linear Equations<\/li>\n
- Nonhomogeneous Linear Equations<\/li>\n
- Applications<\/li>\n
- Series Solutions of Differential Equations<\/li>\n<\/ul>\n\n\t\t\t
\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t \n\t\t\t\t\t\t \n\t\t\t\t\t\t\t CC licensed content, Original<\/div>- Course Contents at a Glance. Provided by<\/strong>: Lumen Learning. License<\/strong>: CC BY: Attribution<\/a><\/em><\/li><\/ul>CC licensed content, Shared previously<\/div>
- Binoculars Icon. Authored by<\/strong>: Musmellow. Provided by<\/strong>: Noun Project. Located at<\/strong>: https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. License<\/strong>: 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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4160","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/users\/349141"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions"}],"predecessor-version":[{"id":6041,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/revisions\/6041"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapters\/4160\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/media?parent=4160"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/pressbooks\/v2\/chapter-type?post=4160"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/contributor?post=4160"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus3\/wp-json\/wp\/v2\/license?post=4160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/p>\n
The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents<\/strong><\/a><\/span>.<\/p>\nModule 1: Parametric Equations and Polar Coordinates<\/h2>\n
\n
Module 2: Vectors in Space<\/h2>\n
\n
Module 3: Vector-Valued Functions<\/h2>\n
\n
Module 4: Differentiation of Functions of Several Variables<\/h2>\n
\n
Module 5: Multiple Integration<\/h2>\n
\n
Module 6: Vector Calculus<\/h2>\n
\n
Module 7: Second-Order Differential Equations<\/h2>\n
\n
Candela Citations<\/h3>\n\t\t\t\t\t