--- type: "Book" knowledge_type: "book" entity_type: "book" id: "66ae541b191fdf5766655be0" title: "Mathematics Part - II" board: "CBSE" curriculum: "CBSE" class_id: "66ab5807ffbb5019db722158" class: "Class 12" class_name: "Class 12" class_slug: "class-12" class_canonical_url: "https://www.edzy.ai/cbse-class-12" class_markdown_url: "https://www.edzy.ai/okf/class/cbse-class-12.md" subject_id: "66ab5c44543b6f461d7a9d25" subject: "Mathematics" subject_slug: "class-12-mathematics" subject_canonical_url: "https://www.edzy.ai/cbse-class-12-mathematics" subject_markdown_url: "https://www.edzy.ai/okf/subject/cbse-class-12-mathematics.md" book: "Mathematics Part - II" book_slug: "mathematics-part-ii" canonical_url: "https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii" markdown_url: "https://www.edzy.ai/okf/book/cbse-class-12-mathematics-mathematics-part-ii.md" source_type: "examSubjectBook" source_id: "66ae541b191fdf5766655be0" source: "Edzy" chapter_count: "7" topic_count: "41" version: "1" last_updated: "2026-06-24" svg_icon: "https://edzy-ai.s3.ap-south-1.amazonaws.com/academic/class-12/66ae541b191fdf5766655be0.svg" book_svg_icon: "https://edzy-ai.s3.ap-south-1.amazonaws.com/academic/class-12/66ae541b191fdf5766655be0.svg" subject_svg_icon: "https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/1639aa97-a812-407a-8e9d-81ef4ccc868a.svg" color_name: "Sky-blue" color_light_foreground: "#0EA5E9" color_light_background: "#E8F4F8" color_dark_foreground: "#2FBDFD" color_dark_background: "#2A3A4A" --- Mathematics Part - II is a CBSE Class 12 book for the subject Mathematics on Edzy. ## Knowledge Snapshot | Field | Details | | :------------ | :------------------------------- | | Board | CBSE | | Curriculum | CBSE | | Class | Class 12 | | Subject | Mathematics | | Book | Mathematics Part - II | | Book Slug | mathematics-part-ii | | Chapter Count | 7 | | Topic Count | 41 | | Last Updated | 2026-06-24 | --- ## Book Overview The book belongs to Class 12, covering the subject Mathematics as per CBSE board's curriculum. It includes 7 chapters and 41 topics. --- ## OKF Hierarchy | Level | Title | Canonical URL | Markdown URL | | :------ | :------------------------------- | :-------------------------------------- | :-------------------------------------- | | Class | Class 12 | https://www.edzy.ai/cbse-class-12 | https://www.edzy.ai/okf/class/cbse-class-12.md | | Subject | Mathematics | https://www.edzy.ai/cbse-class-12-mathematics | https://www.edzy.ai/okf/subject/cbse-class-12-mathematics.md | | Book | Mathematics Part - II | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii | https://www.edzy.ai/okf/book/cbse-class-12-mathematics-mathematics-part-ii.md | --- ## Chapter Index | No. | Chapter | Pages | Page Count | Topics | Canonical URL | Markdown URL | | :-------------- | :------------------------- | :--------------- | :--------- | :--------------------- | :---------------------------------------- | :------------------------------------- | | 1 | Integrals | 225-291 | 67 | 8 | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-integrals | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-integrals.md | | 2 | Application of Integrals | 292-299 | 8 | 7 | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-application-of-integrals | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-application-of-integrals.md | | 3 | Differential Equations | 300-305 | 6 | 4 | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-differential-equations | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-differential-equations.md | | 4 | Vector Algebra | 338-376 | 39 | 6 | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-vector-algebra | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-vector-algebra.md | | 5 | Three Dimensional Geometry | 377-395 | 19 | 5 | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-three-dimensional-geometry | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-three-dimensional-geometry.md | | 6 | Linear Programming | 394-405 | 12 | 6 | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-linear-programming | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-linear-programming.md | | 7 | Probability | 406-438 | 33 | 5 | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-probability | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-probability.md | --- ## Chapter Source Index | No. | Chapter | Source PDF | | :-------------- | :------------------------- | :---------- | | 1 | Integrals | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/46aa757b-7540-4d6a-ae12-f886ed72104a.pdf | | 2 | Application of Integrals | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/44787eb4-5ef4-4264-828f-997975e4dabb.pdf | | 3 | Differential Equations | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/539661bc-10fe-4ea4-b527-37e379d59d89.pdf | | 4 | Vector Algebra | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/727e1995-eec6-4093-af0e-63592f2e086b.pdf | | 5 | Three Dimensional Geometry | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/d690ba5c-014d-4de2-90ba-7c55f5a5f0bf.pdf | | 6 | Linear Programming | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/1bd3cc4f-50a8-4707-9aa1-3e7f3ea5aa44.pdf | | 7 | Probability | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/57937de5-79d5-4255-b176-b08eaed406a7.pdf | --- ## Topic Inventory | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa6020a243cecf961f9389 | Introduction | | 2 | 69aa6020a243cecf961f938c | Integration as an Inverse Process of Differentiation | | 3 | 69aa6020a243cecf961f9391 | Methods of Integration | | 4 | 69aa6020a243cecf961f9394 | Integrals of Some Particular Functions | | 5 | 69aa6020a243cecf961f9397 | Integration by Partial Fractions | | 6 | 69aa6020a243cecf961f939b | Integration by Parts | | 7 | 69aa6020a243cecf961f939d | Definite Integral | | 8 | 69aa6020a243cecf961f93a1 | Fundamental Theorem of Calculus | | 9 | 69aa600da243cecf961f8dce | Introduction | | 10 | 69aa600da243cecf961f8dd0 | Area under Simple Curves | | 11 | 69aa600da243cecf961f8dd2 | Area Bounded by Curves and Lines | | 12 | 69aa600da243cecf961f8dd4 | Negative Areas | | 13 | 69aa600da243cecf961f8dd6 | Examples and Applications | | 14 | 69aa600da243cecf961f8dd8 | Miscellaneous Examples | | 15 | 69aa600da243cecf961f8dda | Historical Note | | 16 | 69aa6054a243cecf961fa535 | Introduction | | 17 | 69aa6054a243cecf961fa538 | Basic Concepts | | 18 | 69aa6054a243cecf961fa53a | General and Particular Solutions of a Differential Equation | | 19 | 69aa6054a243cecf961fa53d | Methods of Solving First Order, First Degree Differential Equations | | 20 | 69aa6056a243cecf961fa5f7 | Introduction | | 21 | 69aa6056a243cecf961fa5f9 | Some Basic Concepts | | 22 | 69aa6056a243cecf961fa5fb | Types of Vectors | | 23 | 69aa6056a243cecf961fa5fd | Addition of Vectors | | 24 | 69aa6056a243cecf961fa5ff | Multiplication of a Vector by a Scalar | | 25 | 69aa6056a243cecf961fa601 | Product of Two Vectors | | 26 | 69aa6091a243cecf961fb724 | Introduction | | 27 | 69aa6091a243cecf961fb728 | Direction Cosines and Direction Ratios of a Line | | 28 | 69aa6091a243cecf961fb72b | Equation of a Line in Space | | 29 | 69aa6091a243cecf961fb730 | Angle between Two Lines | | 30 | 69aa6091a243cecf961fb736 | Shortest Distance between Two Lines | | 31 | 69aa6080a243cecf961fb37d | Introduction | | 32 | 69aa6080a243cecf961fb380 | Linear Programming Problem and its Mathematical Formulation | | 33 | 69aa6080a243cecf961fb387 | Feasible Region | | 34 | 69aa6080a243cecf961fb389 | Optimal Solution | | 35 | 69aa6080a243cecf961fb38b | Theorems related to linear programming | | 36 | 69aa6080a243cecf961fb38d | Applications and Examples | | 37 | 69aa60cea243cecf961fce82 | Introduction | | 38 | 69aa60cea243cecf961fce88 | Conditional Probability | | 39 | 69aa60cea243cecf961fce8c | Multiplication Theorem on Probability | | 40 | 69aa60cea243cecf961fce8f | Independent Events | | 41 | 69aa60cea243cecf961fce91 | Bayes' Theorem | --- ## Chapter-Wise Topic Map ### Integrals | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa6020a243cecf961f9389 | Introduction | | 2 | 69aa6020a243cecf961f938c | Integration as an Inverse Process of Differentiation | | 3 | 69aa6020a243cecf961f9391 | Methods of Integration | | 4 | 69aa6020a243cecf961f9394 | Integrals of Some Particular Functions | | 5 | 69aa6020a243cecf961f9397 | Integration by Partial Fractions | | 6 | 69aa6020a243cecf961f939b | Integration by Parts | | 7 | 69aa6020a243cecf961f939d | Definite Integral | | 8 | 69aa6020a243cecf961f93a1 | Fundamental Theorem of Calculus | ### Application of Integrals | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa600da243cecf961f8dce | Introduction | | 2 | 69aa600da243cecf961f8dd0 | Area under Simple Curves | | 3 | 69aa600da243cecf961f8dd2 | Area Bounded by Curves and Lines | | 4 | 69aa600da243cecf961f8dd4 | Negative Areas | | 5 | 69aa600da243cecf961f8dd6 | Examples and Applications | | 6 | 69aa600da243cecf961f8dd8 | Miscellaneous Examples | | 7 | 69aa600da243cecf961f8dda | Historical Note | ### Differential Equations | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa6054a243cecf961fa535 | Introduction | | 2 | 69aa6054a243cecf961fa538 | Basic Concepts | | 3 | 69aa6054a243cecf961fa53a | General and Particular Solutions of a Differential Equation | | 4 | 69aa6054a243cecf961fa53d | Methods of Solving First Order, First Degree Differential Equations | ### Vector Algebra | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa6056a243cecf961fa5f7 | Introduction | | 2 | 69aa6056a243cecf961fa5f9 | Some Basic Concepts | | 3 | 69aa6056a243cecf961fa5fb | Types of Vectors | | 4 | 69aa6056a243cecf961fa5fd | Addition of Vectors | | 5 | 69aa6056a243cecf961fa5ff | Multiplication of a Vector by a Scalar | | 6 | 69aa6056a243cecf961fa601 | Product of Two Vectors | ### Three Dimensional Geometry | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa6091a243cecf961fb724 | Introduction | | 2 | 69aa6091a243cecf961fb728 | Direction Cosines and Direction Ratios of a Line | | 3 | 69aa6091a243cecf961fb72b | Equation of a Line in Space | | 4 | 69aa6091a243cecf961fb730 | Angle between Two Lines | | 5 | 69aa6091a243cecf961fb736 | Shortest Distance between Two Lines | ### Linear Programming | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa6080a243cecf961fb37d | Introduction | | 2 | 69aa6080a243cecf961fb380 | Linear Programming Problem and its Mathematical Formulation | | 3 | 69aa6080a243cecf961fb387 | Feasible Region | | 4 | 69aa6080a243cecf961fb389 | Optimal Solution | | 5 | 69aa6080a243cecf961fb38b | Theorems related to linear programming | | 6 | 69aa6080a243cecf961fb38d | Applications and Examples | ### Probability | No. | Topic ID | Topic | | :-- | :--------------------- | :------------------------------- | | 1 | 69aa60cea243cecf961fce82 | Introduction | | 2 | 69aa60cea243cecf961fce88 | Conditional Probability | | 3 | 69aa60cea243cecf961fce8c | Multiplication Theorem on Probability | | 4 | 69aa60cea243cecf961fce8f | Independent Events | | 5 | 69aa60cea243cecf961fce91 | Bayes' Theorem | --- ## Important Book Facts * The book belongs to Class 12. * The subject is Mathematics. * The board is CBSE. * The curriculum is CBSE. * The book contains 7 supplied chapters. * The metadata contains 41 supplied topics. --- ## Related OKF Entities | Entity Type | Title | Markdown URL | | :---------- | :------------------------------- | :-------------------------------------- | | Class | Class 12 | https://www.edzy.ai/okf/class/cbse-class-12.md | | Subject | Mathematics | https://www.edzy.ai/okf/subject/cbse-class-12-mathematics.md | | Chapter | Integrals | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-integrals.md | | Chapter | Application of Integrals | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-application-of-integrals.md | | Chapter | Differential Equations | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-differential-equations.md | | Chapter | Vector Algebra | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-vector-algebra.md | | Chapter | Three Dimensional Geometry | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-three-dimensional-geometry.md | | Chapter | Linear Programming | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-linear-programming.md | | Chapter | Probability | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-probability.md | --- ## Source Attribution | Field | Value | | :------------- | :------------------------------- | | Source | Edzy | | Reference Type | examSubjectBook | | Reference ID | 66ae541b191fdf5766655be0 | | Book ID | 66ae541b191fdf5766655be0 | | Canonical URL | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii | | Markdown URL | https://www.edzy.ai/okf/book/cbse-class-12-mathematics-mathematics-part-ii.md | | Last Updated | 2026-06-24 |