Module 1: Integration<\/h2>\r\n\r\n \t- Approximating Areas<\/li>\r\n \t
- The Definite Integral<\/li>\r\n \t
- The Fundamental Theorem of Calculus<\/li>\r\n \t
- Integration Formulas and the Net Change Theorem<\/li>\r\n \t
- Substitution<\/li>\r\n \t
- Integrals Involving Exponential and Logarithmic Functions<\/li>\r\n \t
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\r\n<\/ul>\r\n
Module 2: Applications of Integration<\/h2>\r\n\r\n \t- Areas Between Curves<\/li>\r\n \t
- Determining Volumes by Slicing<\/li>\r\n \t
- Volumes of Revolution: Cylindrical Shells<\/li>\r\n \t
- Arc Length of a Curve and Surface Area<\/li>\r\n \t
- Physical Applications<\/li>\r\n \t
- Moments and Centers of Mass<\/li>\r\n \t
- Integrals, Exponential Functions, and Logarithms<\/li>\r\n \t
- Exponential Growth and Decay<\/li>\r\n \t
- Calculus of the Hyperbolic Functions<\/li>\r\n<\/ul>\r\n
Module 3: Techniques of Integration<\/h2>\r\n\r\n \t- Integration by Parts<\/li>\r\n \t
- Trigonometric Integrals<\/li>\r\n \t
- Trigonometric Substitution<\/li>\r\n \t
- Partial Fractions<\/li>\r\n \t
- Other Strategies for Integration<\/li>\r\n \t
- Numerical Integration<\/li>\r\n \t
- Improper Integrals<\/li>\r\n<\/ul>\r\n
Module 4: Introduction to Differential Equations<\/h2>\r\n\r\n \t- Basics of Differential Equations<\/li>\r\n \t
- Direction Fields and Numerical Methods<\/li>\r\n \t
- Separable Equations<\/li>\r\n \t
- The Logistic Equation<\/li>\r\n \t
- First-order Linear Equations<\/li>\r\n<\/ul>\r\n
Module 5: Sequences and Series<\/h2>\r\n\r\n \t- Sequences<\/li>\r\n \t
- Infinite Series<\/li>\r\n \t
- The Divergence and Integral Tests<\/li>\r\n \t
- Comparison Tests<\/li>\r\n \t
- Alternating Series<\/li>\r\n \t
- Ratio and Root Tests<\/li>\r\n<\/ul>\r\n
Module 6: Power Series<\/h2>\r\n\r\n \t- Power Series and Functions<\/li>\r\n \t
- Properties of Power Series<\/li>\r\n \t
- Taylor and Maclaurin Series<\/li>\r\n \t
- Working with Taylor Series<\/li>\r\n<\/ul>\r\n
Module 7: 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>","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: Integration<\/h2>\n\n- Approximating Areas<\/li>\n
- The Definite Integral<\/li>\n
- The Fundamental Theorem of Calculus<\/li>\n
- Integration Formulas and the Net Change Theorem<\/li>\n
- Substitution<\/li>\n
- Integrals Involving Exponential and Logarithmic Functions<\/li>\n
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\n<\/ul>\n
Module 2: Applications of Integration<\/h2>\n\n- Areas Between Curves<\/li>\n
- Determining Volumes by Slicing<\/li>\n
- Volumes of Revolution: Cylindrical Shells<\/li>\n
- Arc Length of a Curve and Surface Area<\/li>\n
- Physical Applications<\/li>\n
- Moments and Centers of Mass<\/li>\n
- Integrals, Exponential Functions, and Logarithms<\/li>\n
- Exponential Growth and Decay<\/li>\n
- Calculus of the Hyperbolic Functions<\/li>\n<\/ul>\n
Module 3: Techniques of Integration<\/h2>\n\n- Integration by Parts<\/li>\n
- Trigonometric Integrals<\/li>\n
- Trigonometric Substitution<\/li>\n
- Partial Fractions<\/li>\n
- Other Strategies for Integration<\/li>\n
- Numerical Integration<\/li>\n
- Improper Integrals<\/li>\n<\/ul>\n
Module 4: Introduction to Differential Equations<\/h2>\n\n- Basics of Differential Equations<\/li>\n
- Direction Fields and Numerical Methods<\/li>\n
- Separable Equations<\/li>\n
- The Logistic Equation<\/li>\n
- First-order Linear Equations<\/li>\n<\/ul>\n
Module 5: Sequences and Series<\/h2>\n\n- Sequences<\/li>\n
- Infinite Series<\/li>\n
- The Divergence and Integral Tests<\/li>\n
- Comparison Tests<\/li>\n
- Alternating Series<\/li>\n
- Ratio and Root Tests<\/li>\n<\/ul>\n
Module 6: Power Series<\/h2>\n\n- Power Series and Functions<\/li>\n
- Properties of Power Series<\/li>\n
- Taylor and Maclaurin Series<\/li>\n
- Working with Taylor Series<\/li>\n<\/ul>\n
Module 7: 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\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":17533,"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-781","chapter","type-chapter","status-publish","hentry"],"part":779,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions\/790"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/779"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=781"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=781"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 2: Applications of Integration<\/h2>\r\n\r\n \t- Areas Between Curves<\/li>\r\n \t
- Determining Volumes by Slicing<\/li>\r\n \t
- Volumes of Revolution: Cylindrical Shells<\/li>\r\n \t
- Arc Length of a Curve and Surface Area<\/li>\r\n \t
- Physical Applications<\/li>\r\n \t
- Moments and Centers of Mass<\/li>\r\n \t
- Integrals, Exponential Functions, and Logarithms<\/li>\r\n \t
- Exponential Growth and Decay<\/li>\r\n \t
- Calculus of the Hyperbolic Functions<\/li>\r\n<\/ul>\r\n
Module 3: Techniques of Integration<\/h2>\r\n\r\n \t- Integration by Parts<\/li>\r\n \t
- Trigonometric Integrals<\/li>\r\n \t
- Trigonometric Substitution<\/li>\r\n \t
- Partial Fractions<\/li>\r\n \t
- Other Strategies for Integration<\/li>\r\n \t
- Numerical Integration<\/li>\r\n \t
- Improper Integrals<\/li>\r\n<\/ul>\r\n
Module 4: Introduction to Differential Equations<\/h2>\r\n\r\n \t- Basics of Differential Equations<\/li>\r\n \t
- Direction Fields and Numerical Methods<\/li>\r\n \t
- Separable Equations<\/li>\r\n \t
- The Logistic Equation<\/li>\r\n \t
- First-order Linear Equations<\/li>\r\n<\/ul>\r\n
Module 5: Sequences and Series<\/h2>\r\n\r\n \t- Sequences<\/li>\r\n \t
- Infinite Series<\/li>\r\n \t
- The Divergence and Integral Tests<\/li>\r\n \t
- Comparison Tests<\/li>\r\n \t
- Alternating Series<\/li>\r\n \t
- Ratio and Root Tests<\/li>\r\n<\/ul>\r\n
Module 6: Power Series<\/h2>\r\n\r\n \t- Power Series and Functions<\/li>\r\n \t
- Properties of Power Series<\/li>\r\n \t
- Taylor and Maclaurin Series<\/li>\r\n \t
- Working with Taylor Series<\/li>\r\n<\/ul>\r\n
Module 7: 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>","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: Integration<\/h2>\n\n- Approximating Areas<\/li>\n
- The Definite Integral<\/li>\n
- The Fundamental Theorem of Calculus<\/li>\n
- Integration Formulas and the Net Change Theorem<\/li>\n
- Substitution<\/li>\n
- Integrals Involving Exponential and Logarithmic Functions<\/li>\n
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\n<\/ul>\n
Module 2: Applications of Integration<\/h2>\n\n- Areas Between Curves<\/li>\n
- Determining Volumes by Slicing<\/li>\n
- Volumes of Revolution: Cylindrical Shells<\/li>\n
- Arc Length of a Curve and Surface Area<\/li>\n
- Physical Applications<\/li>\n
- Moments and Centers of Mass<\/li>\n
- Integrals, Exponential Functions, and Logarithms<\/li>\n
- Exponential Growth and Decay<\/li>\n
- Calculus of the Hyperbolic Functions<\/li>\n<\/ul>\n
Module 3: Techniques of Integration<\/h2>\n\n- Integration by Parts<\/li>\n
- Trigonometric Integrals<\/li>\n
- Trigonometric Substitution<\/li>\n
- Partial Fractions<\/li>\n
- Other Strategies for Integration<\/li>\n
- Numerical Integration<\/li>\n
- Improper Integrals<\/li>\n<\/ul>\n
Module 4: Introduction to Differential Equations<\/h2>\n\n- Basics of Differential Equations<\/li>\n
- Direction Fields and Numerical Methods<\/li>\n
- Separable Equations<\/li>\n
- The Logistic Equation<\/li>\n
- First-order Linear Equations<\/li>\n<\/ul>\n
Module 5: Sequences and Series<\/h2>\n\n- Sequences<\/li>\n
- Infinite Series<\/li>\n
- The Divergence and Integral Tests<\/li>\n
- Comparison Tests<\/li>\n
- Alternating Series<\/li>\n
- Ratio and Root Tests<\/li>\n<\/ul>\n
Module 6: Power Series<\/h2>\n\n- Power Series and Functions<\/li>\n
- Properties of Power Series<\/li>\n
- Taylor and Maclaurin Series<\/li>\n
- Working with Taylor Series<\/li>\n<\/ul>\n
Module 7: 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\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":17533,"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-781","chapter","type-chapter","status-publish","hentry"],"part":779,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions\/790"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/779"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=781"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=781"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 3: Techniques of Integration<\/h2>\r\n\r\n \t- Integration by Parts<\/li>\r\n \t
- Trigonometric Integrals<\/li>\r\n \t
- Trigonometric Substitution<\/li>\r\n \t
- Partial Fractions<\/li>\r\n \t
- Other Strategies for Integration<\/li>\r\n \t
- Numerical Integration<\/li>\r\n \t
- Improper Integrals<\/li>\r\n<\/ul>\r\n
Module 4: Introduction to Differential Equations<\/h2>\r\n\r\n \t- Basics of Differential Equations<\/li>\r\n \t
- Direction Fields and Numerical Methods<\/li>\r\n \t
- Separable Equations<\/li>\r\n \t
- The Logistic Equation<\/li>\r\n \t
- First-order Linear Equations<\/li>\r\n<\/ul>\r\n
Module 5: Sequences and Series<\/h2>\r\n\r\n \t- Sequences<\/li>\r\n \t
- Infinite Series<\/li>\r\n \t
- The Divergence and Integral Tests<\/li>\r\n \t
- Comparison Tests<\/li>\r\n \t
- Alternating Series<\/li>\r\n \t
- Ratio and Root Tests<\/li>\r\n<\/ul>\r\n
Module 6: Power Series<\/h2>\r\n\r\n \t- Power Series and Functions<\/li>\r\n \t
- Properties of Power Series<\/li>\r\n \t
- Taylor and Maclaurin Series<\/li>\r\n \t
- Working with Taylor Series<\/li>\r\n<\/ul>\r\n
Module 7: 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>","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: Integration<\/h2>\n\n- Approximating Areas<\/li>\n
- The Definite Integral<\/li>\n
- The Fundamental Theorem of Calculus<\/li>\n
- Integration Formulas and the Net Change Theorem<\/li>\n
- Substitution<\/li>\n
- Integrals Involving Exponential and Logarithmic Functions<\/li>\n
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\n<\/ul>\n
Module 2: Applications of Integration<\/h2>\n\n- Areas Between Curves<\/li>\n
- Determining Volumes by Slicing<\/li>\n
- Volumes of Revolution: Cylindrical Shells<\/li>\n
- Arc Length of a Curve and Surface Area<\/li>\n
- Physical Applications<\/li>\n
- Moments and Centers of Mass<\/li>\n
- Integrals, Exponential Functions, and Logarithms<\/li>\n
- Exponential Growth and Decay<\/li>\n
- Calculus of the Hyperbolic Functions<\/li>\n<\/ul>\n
Module 3: Techniques of Integration<\/h2>\n\n- Integration by Parts<\/li>\n
- Trigonometric Integrals<\/li>\n
- Trigonometric Substitution<\/li>\n
- Partial Fractions<\/li>\n
- Other Strategies for Integration<\/li>\n
- Numerical Integration<\/li>\n
- Improper Integrals<\/li>\n<\/ul>\n
Module 4: Introduction to Differential Equations<\/h2>\n\n- Basics of Differential Equations<\/li>\n
- Direction Fields and Numerical Methods<\/li>\n
- Separable Equations<\/li>\n
- The Logistic Equation<\/li>\n
- First-order Linear Equations<\/li>\n<\/ul>\n
Module 5: Sequences and Series<\/h2>\n\n- Sequences<\/li>\n
- Infinite Series<\/li>\n
- The Divergence and Integral Tests<\/li>\n
- Comparison Tests<\/li>\n
- Alternating Series<\/li>\n
- Ratio and Root Tests<\/li>\n<\/ul>\n
Module 6: Power Series<\/h2>\n\n- Power Series and Functions<\/li>\n
- Properties of Power Series<\/li>\n
- Taylor and Maclaurin Series<\/li>\n
- Working with Taylor Series<\/li>\n<\/ul>\n
Module 7: 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\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":17533,"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-781","chapter","type-chapter","status-publish","hentry"],"part":779,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions\/790"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/779"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=781"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=781"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 4: Introduction to Differential Equations<\/h2>\r\n\r\n \t- Basics of Differential Equations<\/li>\r\n \t
- Direction Fields and Numerical Methods<\/li>\r\n \t
- Separable Equations<\/li>\r\n \t
- The Logistic Equation<\/li>\r\n \t
- First-order Linear Equations<\/li>\r\n<\/ul>\r\n
Module 5: Sequences and Series<\/h2>\r\n\r\n \t- Sequences<\/li>\r\n \t
- Infinite Series<\/li>\r\n \t
- The Divergence and Integral Tests<\/li>\r\n \t
- Comparison Tests<\/li>\r\n \t
- Alternating Series<\/li>\r\n \t
- Ratio and Root Tests<\/li>\r\n<\/ul>\r\n
Module 6: Power Series<\/h2>\r\n\r\n \t- Power Series and Functions<\/li>\r\n \t
- Properties of Power Series<\/li>\r\n \t
- Taylor and Maclaurin Series<\/li>\r\n \t
- Working with Taylor Series<\/li>\r\n<\/ul>\r\n
Module 7: 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>","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: Integration<\/h2>\n\n- Approximating Areas<\/li>\n
- The Definite Integral<\/li>\n
- The Fundamental Theorem of Calculus<\/li>\n
- Integration Formulas and the Net Change Theorem<\/li>\n
- Substitution<\/li>\n
- Integrals Involving Exponential and Logarithmic Functions<\/li>\n
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\n<\/ul>\n
Module 2: Applications of Integration<\/h2>\n\n- Areas Between Curves<\/li>\n
- Determining Volumes by Slicing<\/li>\n
- Volumes of Revolution: Cylindrical Shells<\/li>\n
- Arc Length of a Curve and Surface Area<\/li>\n
- Physical Applications<\/li>\n
- Moments and Centers of Mass<\/li>\n
- Integrals, Exponential Functions, and Logarithms<\/li>\n
- Exponential Growth and Decay<\/li>\n
- Calculus of the Hyperbolic Functions<\/li>\n<\/ul>\n
Module 3: Techniques of Integration<\/h2>\n\n- Integration by Parts<\/li>\n
- Trigonometric Integrals<\/li>\n
- Trigonometric Substitution<\/li>\n
- Partial Fractions<\/li>\n
- Other Strategies for Integration<\/li>\n
- Numerical Integration<\/li>\n
- Improper Integrals<\/li>\n<\/ul>\n
Module 4: Introduction to Differential Equations<\/h2>\n\n- Basics of Differential Equations<\/li>\n
- Direction Fields and Numerical Methods<\/li>\n
- Separable Equations<\/li>\n
- The Logistic Equation<\/li>\n
- First-order Linear Equations<\/li>\n<\/ul>\n
Module 5: Sequences and Series<\/h2>\n\n- Sequences<\/li>\n
- Infinite Series<\/li>\n
- The Divergence and Integral Tests<\/li>\n
- Comparison Tests<\/li>\n
- Alternating Series<\/li>\n
- Ratio and Root Tests<\/li>\n<\/ul>\n
Module 6: Power Series<\/h2>\n\n- Power Series and Functions<\/li>\n
- Properties of Power Series<\/li>\n
- Taylor and Maclaurin Series<\/li>\n
- Working with Taylor Series<\/li>\n<\/ul>\n
Module 7: 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\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":17533,"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-781","chapter","type-chapter","status-publish","hentry"],"part":779,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions\/790"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/779"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=781"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=781"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 5: Sequences and Series<\/h2>\r\n\r\n \t- Sequences<\/li>\r\n \t
- Infinite Series<\/li>\r\n \t
- The Divergence and Integral Tests<\/li>\r\n \t
- Comparison Tests<\/li>\r\n \t
- Alternating Series<\/li>\r\n \t
- Ratio and Root Tests<\/li>\r\n<\/ul>\r\n
Module 6: Power Series<\/h2>\r\n\r\n \t- Power Series and Functions<\/li>\r\n \t
- Properties of Power Series<\/li>\r\n \t
- Taylor and Maclaurin Series<\/li>\r\n \t
- Working with Taylor Series<\/li>\r\n<\/ul>\r\n
Module 7: 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>","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: Integration<\/h2>\n\n- Approximating Areas<\/li>\n
- The Definite Integral<\/li>\n
- The Fundamental Theorem of Calculus<\/li>\n
- Integration Formulas and the Net Change Theorem<\/li>\n
- Substitution<\/li>\n
- Integrals Involving Exponential and Logarithmic Functions<\/li>\n
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\n<\/ul>\n
Module 2: Applications of Integration<\/h2>\n\n- Areas Between Curves<\/li>\n
- Determining Volumes by Slicing<\/li>\n
- Volumes of Revolution: Cylindrical Shells<\/li>\n
- Arc Length of a Curve and Surface Area<\/li>\n
- Physical Applications<\/li>\n
- Moments and Centers of Mass<\/li>\n
- Integrals, Exponential Functions, and Logarithms<\/li>\n
- Exponential Growth and Decay<\/li>\n
- Calculus of the Hyperbolic Functions<\/li>\n<\/ul>\n
Module 3: Techniques of Integration<\/h2>\n\n- Integration by Parts<\/li>\n
- Trigonometric Integrals<\/li>\n
- Trigonometric Substitution<\/li>\n
- Partial Fractions<\/li>\n
- Other Strategies for Integration<\/li>\n
- Numerical Integration<\/li>\n
- Improper Integrals<\/li>\n<\/ul>\n
Module 4: Introduction to Differential Equations<\/h2>\n\n- Basics of Differential Equations<\/li>\n
- Direction Fields and Numerical Methods<\/li>\n
- Separable Equations<\/li>\n
- The Logistic Equation<\/li>\n
- First-order Linear Equations<\/li>\n<\/ul>\n
Module 5: Sequences and Series<\/h2>\n\n- Sequences<\/li>\n
- Infinite Series<\/li>\n
- The Divergence and Integral Tests<\/li>\n
- Comparison Tests<\/li>\n
- Alternating Series<\/li>\n
- Ratio and Root Tests<\/li>\n<\/ul>\n
Module 6: Power Series<\/h2>\n\n- Power Series and Functions<\/li>\n
- Properties of Power Series<\/li>\n
- Taylor and Maclaurin Series<\/li>\n
- Working with Taylor Series<\/li>\n<\/ul>\n
Module 7: 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\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":17533,"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-781","chapter","type-chapter","status-publish","hentry"],"part":779,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions\/790"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/779"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=781"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=781"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 6: Power Series<\/h2>\r\n\r\n \t- Power Series and Functions<\/li>\r\n \t
- Properties of Power Series<\/li>\r\n \t
- Taylor and Maclaurin Series<\/li>\r\n \t
- Working with Taylor Series<\/li>\r\n<\/ul>\r\n
Module 7: 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>","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: Integration<\/h2>\n\n- Approximating Areas<\/li>\n
- The Definite Integral<\/li>\n
- The Fundamental Theorem of Calculus<\/li>\n
- Integration Formulas and the Net Change Theorem<\/li>\n
- Substitution<\/li>\n
- Integrals Involving Exponential and Logarithmic Functions<\/li>\n
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\n<\/ul>\n
Module 2: Applications of Integration<\/h2>\n\n- Areas Between Curves<\/li>\n
- Determining Volumes by Slicing<\/li>\n
- Volumes of Revolution: Cylindrical Shells<\/li>\n
- Arc Length of a Curve and Surface Area<\/li>\n
- Physical Applications<\/li>\n
- Moments and Centers of Mass<\/li>\n
- Integrals, Exponential Functions, and Logarithms<\/li>\n
- Exponential Growth and Decay<\/li>\n
- Calculus of the Hyperbolic Functions<\/li>\n<\/ul>\n
Module 3: Techniques of Integration<\/h2>\n\n- Integration by Parts<\/li>\n
- Trigonometric Integrals<\/li>\n
- Trigonometric Substitution<\/li>\n
- Partial Fractions<\/li>\n
- Other Strategies for Integration<\/li>\n
- Numerical Integration<\/li>\n
- Improper Integrals<\/li>\n<\/ul>\n
Module 4: Introduction to Differential Equations<\/h2>\n\n- Basics of Differential Equations<\/li>\n
- Direction Fields and Numerical Methods<\/li>\n
- Separable Equations<\/li>\n
- The Logistic Equation<\/li>\n
- First-order Linear Equations<\/li>\n<\/ul>\n
Module 5: Sequences and Series<\/h2>\n\n- Sequences<\/li>\n
- Infinite Series<\/li>\n
- The Divergence and Integral Tests<\/li>\n
- Comparison Tests<\/li>\n
- Alternating Series<\/li>\n
- Ratio and Root Tests<\/li>\n<\/ul>\n
Module 6: Power Series<\/h2>\n\n- Power Series and Functions<\/li>\n
- Properties of Power Series<\/li>\n
- Taylor and Maclaurin Series<\/li>\n
- Working with Taylor Series<\/li>\n<\/ul>\n
Module 7: 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\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":17533,"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-781","chapter","type-chapter","status-publish","hentry"],"part":779,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions\/790"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/779"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=781"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=781"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Module 7: 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>","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: Integration<\/h2>\n\n- Approximating Areas<\/li>\n
- The Definite Integral<\/li>\n
- The Fundamental Theorem of Calculus<\/li>\n
- Integration Formulas and the Net Change Theorem<\/li>\n
- Substitution<\/li>\n
- Integrals Involving Exponential and Logarithmic Functions<\/li>\n
- Integrals Resulting in Inverse Trigonometric Functions<\/li>\n<\/ul>\n
Module 2: Applications of Integration<\/h2>\n\n- Areas Between Curves<\/li>\n
- Determining Volumes by Slicing<\/li>\n
- Volumes of Revolution: Cylindrical Shells<\/li>\n
- Arc Length of a Curve and Surface Area<\/li>\n
- Physical Applications<\/li>\n
- Moments and Centers of Mass<\/li>\n
- Integrals, Exponential Functions, and Logarithms<\/li>\n
- Exponential Growth and Decay<\/li>\n
- Calculus of the Hyperbolic Functions<\/li>\n<\/ul>\n
Module 3: Techniques of Integration<\/h2>\n\n- Integration by Parts<\/li>\n
- Trigonometric Integrals<\/li>\n
- Trigonometric Substitution<\/li>\n
- Partial Fractions<\/li>\n
- Other Strategies for Integration<\/li>\n
- Numerical Integration<\/li>\n
- Improper Integrals<\/li>\n<\/ul>\n
Module 4: Introduction to Differential Equations<\/h2>\n\n- Basics of Differential Equations<\/li>\n
- Direction Fields and Numerical Methods<\/li>\n
- Separable Equations<\/li>\n
- The Logistic Equation<\/li>\n
- First-order Linear Equations<\/li>\n<\/ul>\n
Module 5: Sequences and Series<\/h2>\n\n- Sequences<\/li>\n
- Infinite Series<\/li>\n
- The Divergence and Integral Tests<\/li>\n
- Comparison Tests<\/li>\n
- Alternating Series<\/li>\n
- Ratio and Root Tests<\/li>\n<\/ul>\n
Module 6: Power Series<\/h2>\n\n- Power Series and Functions<\/li>\n
- Properties of Power Series<\/li>\n
- Taylor and Maclaurin Series<\/li>\n
- Working with Taylor Series<\/li>\n<\/ul>\n
Module 7: 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\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":17533,"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-781","chapter","type-chapter","status-publish","hentry"],"part":779,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/revisions\/790"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/779"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/781\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=781"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=781"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=781"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=781"}],"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: Integration<\/h2>\n
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Module 2: Applications of Integration<\/h2>\n
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Module 3: Techniques of Integration<\/h2>\n
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Module 4: Introduction to Differential Equations<\/h2>\n
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Module 5: Sequences and Series<\/h2>\n
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Module 6: Power Series<\/h2>\n
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Module 7: Parametric Equations and Polar Coordinates<\/h2>\n
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Candela Citations<\/h3>\n\t\t\t\t\t