Home > [2019-20] CBSE Maths Syllabus For Class-8-9-10-11-12

[2019-20] CBSE Maths Syllabus For Class-8-9-10-11-12

Hi students, welcome to Amans Maths Blogs (AMB). On this page, you will get the latest CBSE maths syllabus for class 8, 9, 10, 11, 12. These syllabi are as per NCERT syllabus guidelines.

[2019-20] CBSE Maths Syllabus For Class 8

Chapters No Chapter Name
Chapter 01 Rational Numbers
Topics Covered
1. Introduction of Numbers
2. Properties Of Rational Numbers
3. Number Line
4. Rational Number Between Two Rational Numbers
Chapter 02 Linear Equation in One Variable
Topics Covered
1. Introduction of Linear Equation One Variable
2. Solving Method
3. Word Problems Application
4. Reducing Equation To Simplest Form
5. Equation Reducible to Linear Form
Chapter 03 Understanding Quadrilaterals
Topics Covered
1. Introduction of Quadrilaterals
2. Introduction of Polygons
3. Angles Sum Property
4. Exterior Angles Property
5. Parallelograms and Its Properties
6. Rectangle and Its Properties
7. Square and Its Properties
8. Rhombus and Its Properties
9. Kites and Its Properties
10. Trapezium and Its Properties
Chapter 04 Practical Geometry
Topics Covered
1. Construction of Quadrilaterals When
2. 4 Sides & 1 Diagonal Given
3. 2 Diagonals & 3 Sides Given
4. 2 Adjacent Sides & 3 Angles Given
5. 3 Sides & 2 Included Angles Given
6. Other Special Properties Given
Chapter 05 Data Handling
Topics Covered
1. Raw Data, Group Data
2. Frequency, Organizing Data
3. Bar Graph
4. Histogram
5. Pie Chart
6. Probability
Chapter 06 Square and Square Root
Topics Covered
1. Introduction of Square Numbers
2. Properties of Square Numbers
3. Finding Square of Numbers
4. Introduction of Square Root
5. Finding Square Root of Numbers
6. Square Root of Decimals
7. Estimating Square Root
Chapter 07 Cube and Cube Root
Topics Covered
1. Introduction of Cube Numbers
2. Properties of Cube Numbers
3. Finding Cube of Numbers
4. Introduction of Cube Root
5. Finding Cube Root of Numbers
Chapter 08 Comparing Quantities
Topics Covered
1. Introduction of Comparing Quantities
2. Ratio & Properties
3. Percentage
4. Profit & Loss
5. Simple Interest
6. Compound Interest
Chapter 09 Algebraic Expression & Identities
Topics Covered
1. Introduction of Algebraic Expression
2. Factors & Coefficients
3. Polynomials
4. Addition of Polynomials
5. Subtraction of Polynomials
6. Multiplication of Polynomials
7. Division of Polynomials
8. Multiplication of Polynomials
9. Division of Polynomials
10. Equation & Identities
11. Algebraic Identities
Chapter 10 Visualizing Solid Shapes
Topics Covered
1. Introduction of 3D Shapes
2. Face, Edges & Vertices
3. Space, Maps
4. Eular’s Formula
Chapter 11 Mensuration
Topics Covered
1. Area & Perimeter of 2D Figures
2. Surface Area & Volume of 3D Figures
Chapter 12 Exponent and Powers
Topics Covered
1. Introduction of Exponent/Power/Index
2. Laws of Exponents
3. Standard Form of Numbers
4. Comparison of Very Small & Large Numbers
Chapter 13 Direct and Inverse Proportion
Topics Covered
1. Direct Proportion
2. Inverse Proportion
Chapter 14 Factorization
Topics Covered
1. Introduction of Factors
2. Method of Factorization
3. Factorization by Common Factors
4. Factorization by Regrouping Terms
5. Factorization by Identities
6. Factorization by middle Term Splitting
Chapter 15 Introduction to Graphs
Topics Covered
1. Introduction of Linear Graphs
2. Rectangular Axes
3. Co-ordinates of a Point
4. Plotting The Points
Chapter 16 Playing With Numbers
Topics Covered
1. General Form of Two Digits Numbers
2. General Form of Three Digits Numbers
3. Test of Divisibility
4. Letters for Digits

Here our team compile the CBSE maths syllabus for class 8, 9, 10, 11, 12 as short notes of each chapter and with important questions. These short notes can help the students to revise the whole syllabus quickly and the important questions are helpful for their CBSE examinations.

AMB also provide the CBSE NCERT solutions for maths of each class. These NCERT solutions helps the students getting maximum marks in their annual examinations, So the students need to study these CBSE school maths syllabus along with NCERT solutions with short notes provided and some important questions given as each chapters.

[2019-20] CBSE Maths Syllabus For Class 9

Chapters No Chapter Name
Chapter 01 Numbers System
Topics Covered
1. Introduction to Number Line
2. Rational and Irrational Numbers
3. Locating Irrational Number On Number Line
4. Real Number and Their Decimal
5. Terminating, Non-Terminating and Recurring Decimals
6. Expressing Recurring Decimal To Fraction and Vice-Versa
7. Finding Rational Number Between Two Irrational Number
8. Finding Irrational Number Between Two Irrational Number
9. Representing Real Number On The Number Line
10. Mathematical Operation on Real Number
11. Geometrical Representation of Root X
12. Rationalization
13. Laws of Exponent
Chapter 02 Polynomial
Topics Covered
1. Algebraic Expression and Polynomial
2. Identification of Polynomial
3. Types, Degree, Zeroes of Polynomial
4. Remainder Theorem
5. Factor Theorem
6. Algebraic Identities
Chapter 03 Co-ordinate Geometry
Topics Covered
1. Introduction to Cartesian System
2. Co-ordinate of Point
3. Sign of x-coordinate and y-coordinate
4. Plotting the Points
Chapter 04 Linear Equation in Two Variables
Topics Covered
1. Linear Equation in Two Variables as ax + by + c = 0
2. Solving of Linear Equation in Two Variables
3. Equation of Axes and Its Parallel Equations
4. Graphical Solution of Linear Equations In Two Variables
Chapter 05 Euclid Geometry
Topics Covered
1. Euclid’s Definition, Axioms, Theorems
2. Euclid’s Five Postulates
3. Equivalent Version of Fifth Postulates
Chapter 06 Lines and Angles
Topics Covered
1. Introduction to Line and Angles
2. Basic Terms and Definition About Lines
3. Different Types of Angles
4. Intersecting Lines and Non-Intersecting Lines
5. Linear Pairs of Angles
6. Transversal Line
7. Transversal Line of Parallel Lines
8. Exterior Angle of a Triangle
Chapter 07 Triangle
Topics Covered
1. Introduction of Congruence
2. SAS, SSS, ASA, AAS, RHS
3. Some Properties of a Triangle
4. Triangle Inequality
Chapter 08 Quadrilaterals
Topics Covered
1. Introduction of Quadrilaterals
2. Angle Sum Property of Quadrilateral
3. Types of Quadrilaterals
4. Properties of Parallelogram
5. Conditions for Quadrilateral to be Parallelogram
6. Mid-Point Theorem
Chapter 09 Area of Parallelogram and Triangle
Topics Covered
1. Figures on Same Base and Between Same Parallel Lines
2. Parallelogram on the Same Base and Between the Same Parallel Lines
3. Triangles on the Same Base and Between the Same Parallel Lines
4. Median of a Triangle
Chapter 10 Circles
Topics Covered
1. Circle and Its Related Terms
2. Angle Subtended by a Chord
3. Perpendicular from Center to the Chord
4. Circle Through the Three Points
5. Equal Chords and Their Distance from the Center
6. Angle Subtended by an Arc
7. Cyclic Quadrilaterals
Chapter 11 Construction
Topics Covered
1. Construction of Bisector of an Angle
2. Construction of Perpendicular Bisector of Line Segment
3. Construction of 30, 60, 75, 90, 120, and 150 Degree
4. Construction of Triangle When Base, Base Angles and Sum of Other Two Sides are Given
5. Construction of Triangle When Base, Base Angles and Difference of Other Two Sides are Given
6. Construction of Triangle When Base Angles and Perimeter are Given
Chapter 12 Heron’s Formula
Topics Covered
1. Area of Triangle When Base and Height Are Given
2. Area of Equilateral Triangle
3. Area of Triangle by Heron’s Formula
4. Application of Heron’s Formula
Chapter 13 Surface Area and Volume
Topics Covered
1. Surface Area and Volume of Cuboid
2. Surface Area and Volume of Cube
3. Surface Area and Volume of Cylinder
4. Surface Area and Volume of Cone
5. Surface Area and Volume of Sphere
6. Surface Area and Volume of Combination of Solids Figures
Chapter 14 Statistics
Topics Covered
1. Raw Data and Organised Data
2. Frequency Distribution Table
3. Measures of Central Tendency
Chapter 15 Probability
Topics Covered
1. Probability and its Related Terms
2. Mathematical Formula of Probability

By using CBSE maths syllabus for class 8, 9, 10, 11, 12, the students are not required for their academic sessions to start. Just search for AMB and come to this page and their start to learn their chapters of the CBSE maths syllabus for class 8, 9, 10, 11, 12 along with the short notes, important questions with NCERT solutions.

Now, if the students have sufficient time for their final exams, then just go through whole CBSE maths syllabus for class 8, 9, 10, 11, 12, and read all the chapters in details and solve each questions in their exercise.

[2019-20] CBSE Maths Syllabus For Class 10

Chapters No Chapter Name
Chapter 01 Real Numbers
Topics Covered
1. Introduction to Real Numbers
2. Euclid’s Division Lemma
3. Difference Between Algorithm and Lemma
4. Euclid Division Algorithm to find HCF
5. Fundamental Theorem of Arithmetic
6. Relation Between HCF and LCM
7. Introduction to Irrational Numbers
8. Proving RootX is an Irrational Number
9. Rational Number and Its Decimal Expansion
10. Terminating and non-Terminating Decimals
Chapter 02 Polynomials
Topics Covered
1. Introduction of Polynomials
2. Degree of Polynomials
3. Types, Degree, Zeroes of Polynomial
4. Remainder Theorem
5. Factor Theorem
6. Algebraic Identities
7. Graph of Quadratic Polynomial
8. Relation Between Zeroes and Coefficients of Quadratic Polynomial
9. Relation Between Zeroes and Coefficients of Cubic Polynomial
10. Division Algorithm for Polynomial
Chapter 03 Pair of Linear Equation in Two Variables
Topics Covered
1. General Form of Linear Equations in Two variables
2. Checking Number of Solutions of Pair of Linear Equation in Two variables
3. Method of Solving of Pair of Linear Equation in Two variables
4. Word Problems on Pair of Linear Equation in Two variables
Chapter 04 Quadratic Equations
Topics Covered
1. Introduction to Standard Form of Quadratic Equation
2. Solution of Quadratic Equation By Factorization
3. Solution of Quadratic Equation By Completing The Square
4. Solution of Quadratic Equation By Quadratic Formula
5. Nature of Roots, Sum and Product of Roots
Chapter 05 Arithmetic Progression (AP)
Topics Covered
1. Introduction of Sequence, Progression and Series
2. Definition of Arithmetic Progression and Its Related Terms
3. General Form of AP
4. nth Term of an AP From Start and Last
5. Sum of n Terms of an AP
6. Arithmetic Mean
Chapter 06 Similar Triangles
Topics Covered
1. Introduction of Similar Triangles
2. Basic Proportionality Theorem (Thele’s Theorem)
3. Similar Triangles Definition
4. Criteria For Similarity of Triangles SAS, AA, SSS
5. Area of Similar Triangles
6. Pythagoras Theorem
7. Apollonuis Theorem
8. Important Results
Chapter 07 Co-ordinate Geometry
Topics Covered
1. Distance Formula
2. Section Formula
3. Mid Point Formula
4. Area of Triangle
Chapter 08 Trigonometry
Topics Covered
1. Introduction to Trigonometry
2. Definition of Trigonometric Ratio
3. Trigonometric Ratios For Specific Angles
4. Trigonometric Ratios For Complementary Angles
5. Trigonometrical Identities
Chapter 09 Application of Trigonometry
Topics Covered
1. introduction of Angles of Elevation and Depression
2. Drawing the Rough Sketch of Given Situation
3. Using Trigonometry in Sketch
Chapter 10 Circles
Topics Covered
1. Introduction to Tangents and Secants
2. Theorem Related to Tangent to the Circle
3. Number of Tangents from a Point to the Circle
4. Alternate Segment Theorem
Chapter 11 Construction
Topics Covered
1. Division of Line Segments
2. Construction of Similar Triangles
3. Construction of Tangents to the Circle
Chapter 12 Area Related To Circle
Topics Covered
1. Perimeter and Area of Circle
2. Area of Sector and Segment
3. Area of Combination of Plane Figures
Chapter 13 Surface Area and Volume
Topics Covered
1. Surface Area and Volume of Cuboid
2. Surface Area and Volume of Cube
3. Surface Area and Volume of Cylinder
4. Surface Area and Volume of Cone
5. Surface Area and Volume of Sphere
6. Surface Area and Volume of Combination of Solids Figures
7. Conversion of Solids From One Shape To Another
8. Frustum of Cones
Chapter 14 Statistics
Topics Covered
1. Mean, Median, Mode of Ungrouped Data
2. Mean of Grouped Data By Direct Method
3. Mean of Grouped Data By Step Deviation Method
3. Mean of Grouped Data By Short Method
3. Median of Grouped Data
3. More Than and Less Than Ogive
3. Mode of Grouped Data
Chapter 15 Probability
Topics Covered
1. Theoretical or Classical Probability
2. Sum of Probability of Occurrence and Non-Occurrence Event
3. Types of Events
4. Odd In Favour and Odd Against of an Event

These CBSE maths syllabus for class 8, 9, 10, 11, 12, is also helpful for those students who study in other than CBSE affiliated schools. It means the students of ICSE, ISC, UP Board, Bihar Board and other state board can also take this CBSE maths syllabus for class 8, 9, 10, 11, 12, for revision and clearing their maths doubts.

AMB provides the CBSE maths syllabus for class 8, 9, 10, 11, 12, as per NCERT guidelines. In this website, the CBSE maths syllabus for class 8, 9, 10, 11, 12 includes the lists of subtopics and topics which are covered in school through academic year.

[2019-20] CBSE Maths Syllabus For Class 11

Chapters No Chapter Name
Chapter 01 Set Theory
Topics Covered
1. Definition of Sets
2. Representation of Sets
3. Types of Sets: Empty, Finite, Infinite, Equal, Null, Void
4. Definition of Subsets
5. Finding Subset of Set and Their Representation
6. Intervals and Their Representations
7. Power Set and Finding Number of Elements in Power Set
8. Universal Set and Their Representation
9. Venn Diagram of Set
10. Operation of Set: Union, Intersection, Difference
11. Complement of Set

12. Important Laws of Set: Complement, De-Morgan etc.
13. Word Problems on Union and Intersection of Two Sets
Chapter 02 Relations and Functions
Topics Covered
1. Cartesian Product of Sets
2. Definition of Relations and Number of Relation
3. Concept of Domain, Range and Co-Domain
4. Definition of Function
5. Real Valued Function
6. Identity Function and Their Graph
7. Constant Function and Their Graph
8. Quadratic Function and Their Graph
9. Cubic Function and Their Graph
10. Rational Function and Their Graph
11. Modulus Function and Their Graph
12. Signum Function and Their Graph
13. Greatest Integer Function and Their Graph
14. Algebra of Real Function
15. Finding the Domain and Range of the Functions
Chapter 03 Trigonometric Function
Topics Covered
1. Introduction of Angle and Their Measurement
2. Radian Measurement and Their Mathematical Definition
3. Relation Between Degree and Their Conversion
4. Trigonometric Function and Identities
5. Sign of Trigonometric Function in Different Quadrant
6. Domain and Range of Trigonometric Function
7. Trigonometric Function of Sum and Difference of Two Angles
8. Trigonometric Function of Double, Triple and Half of the Angles
9. Some Important Formula
10. Trigonometric Equations and Their Principle and General Solutions
11. Some important Exercise
Chapter 04 Mathematical Induction
Topics Covered
1. Introduction of Statements
2. Introduction of Mathematical Induction
3. Principle of Mathematical Induction
Chapter 05 Complex Numbers
Topics Covered
1. Introduction of Square Root of Negative Numbers
2. Power of Iota (i)
3. Complex Numbers
4. Algebra of Complex Numbers
5. Finding Square Root of Negative Real Numbers
6. Complex Number Based Identities
7. Modulus, Argument and Conjugate of a Complex Numbers
8. Multiplicative Inverse of Complex Numbers
9. Introduction of Argand Plane and Polar Co-ordinate
10. Polar Representation of Complex Numbers
Chapter 06 Quadratic Equations
Topics Covered
1. Introduction of Quadratic Equation
2. Graph of Quadratic Equation
3. Sum and Product of Roots of Quadratic Equation
Chapter 07 Linear inequalities
Topics Covered
1. introduction of Inequalities
2. Graphical Solution of Linear Inequalities in One Variable
3. Graphical Solution of Linear Equation in Two Variables
4. Graphical Solution of Linear Inequalities in Two Variables
Chapter 08 Permutation and Combination
Topics Covered
1. Fundamental Principle of Counting
2. Introduction of Permutation
3. Permutation When All Objects Are Distinct
4. Introduction of Factorial
5. Formula for Permutation
6. Permutation When All Objects Are NOT Distinct
7. Introduction of Combination 
8. Difference Between Permutation and Combination
9. Formula for Combination
10. Important Formula and Concept Related to Combination
Chapter 09 Binomial Theorem
Topics Covered
1. Introduction of Binomial Theorem
2. Binomial Theorem for Positive Index
3. Some Special Cases In Formula of Binomial Theorem
4. General and Middle Term Concept
5. Independent Term Concept
Chapter 10 Sequence and Series
Topics Covered
1. Difference Among Sequence, Progression and Series
2. Terms of a Sequence
3. Introduction of Arithmetic Progression (AP)
4. General Term of an AP
5. Sum of n Terms of an AP
6. Arithmetic Mean (AM)
7. Introduction of Geometric Progression (GP)
8. General Term of an GP
9.  Sum of n Terms of an GP
10. Geometric Mean (GM)
11. Relationship Between AM and GM 
12. Sum of First n Natural Numbers
13. Sum of Square of First n Natural Numbers
14. Sum of Cube of First n Natural Numbers
15. Sum of n Terms of Special  Series
Chapter 11 Straight Lines
Topics Covered
1. Revision of Co-ordinate Geometry Studied in Previous Class
2. Slope of Lines
3. Condition for Perpendiculars and Parallelism
4. Angle Between Two Lines
5. Collinearity of Three Points By Using Slopes
6. Various Forms of Equation of Line
7. General Equation of Line and Its Different Forms
8. Distance of a Point From a Line
9. Distance Between Two Parallel Lines
Chapter 12 Conic Section
Topics Covered
1. Introduction of Conic Section
2. Section of Cone: Generated and Degenerated Conic Section
3. Condition of Circle, Parabola, Ellipse and Hyperbola
4. Circle and Its Standard Equation and Other Concepts
5. Parabola and Its Standard Equation and Other Concepts 
6. Ellipse and Its Standard Equation and Other Concepts
7. hyperbola and Its Standard Equation and Other Concepts
Chapter 13 Three Dimensional (3D) Geometry
Topics Covered
1. Co-ordinate Axes and Co-ordinate Planes in 3D
2. Co-ordinate of a Point in 3D Space
3. Distance Between Two Points in 3D
4. Section Formula in 3D
Chapter 14 Limit and Derivative
Topics Covered
1. Concepts of Limit
2. Left Hand Limit (LHL) and Right Hand Limit (RHL)
3. Algebra of Limits
4. Limits of Polynomial and Rational Function
5. Important Formula of Limit
6. Limit of Trigonometric Function
7. Introduction of Derivatives
8. Definition of Derivative of a Function f(x)
9. Algebra of Derivative of Function
10. Derivative of Polynomial and Trigonometric Function
Chapter 15 Mathematical Reasoning
Topics Covered
1. Introduction of Statement
2. Negative of Statement
3. Compound Statement
4. Special Words and Phrases
5. Quantifiers 
6. Implications
7. Contrapositive and Converse
8. Validating Statement
Chapter 16 Statistics
Topics Covered
1. Introduction of Statistics
2. Measure of Dispersion: Range, Quartile Deviation, Mean Deviation, Standard Deviation 
3. Mean Deviation of Grouped and Ungrouped Data
4. Variance and Standard Deviation
5. Standard Deviation of Discrete Frequency Distribution 
6. Standard Deviation of Continuous Frequency Distribution 
7. Coefficient of Variance
Chapter 17 Probability
Topics Covered
1. Definition of Random Experiment, Outcomes, Sample Space Event
2. Types of Events 
3. Algebra of Events
4. Mutually Exclusive Event
5. Exhaustive Event
6. Axiomatic Approach to Probability
7. Probability of Equally Likely Outcomes
8. Important Concept of Probability

These CBSE maths syllabus for class 8, 9, 10, 11, 12 are created keeping in mind that every class student will understand the concepts of CBSE prescribed NCERT text books before starting their preparation for exams.

These CBSE maths syllabus for class 8, 9, 10,11, 12 are prepared also for those students who want to appear in NTSE, NMTC, NDA, SSC exams. These short notes along with important questions are foundation for the students who want to appear in the entrance exams like JEE Main and Advance, BITSAT, UPSEE, WBJEE etc.

[2019-20] CBSE Maths Syllabus For Class 12

Chapters No Chapter Name
Chapter 01 Relation and Function
Topics Covered
1. Definition of Relation
2. Types of Relations
3. Definition of Functions
4. Types of Functions
5. Composition of Functions
6. Inverse of Function
7. Composition of Function
8. Binary Operations
Chapter 02 Inverse Trigonometrical Functions
Topics Covered
1. Basic Concept of Trigonometry
2. Condition To Be Inverse Trigonometric Function
3. Domain and Range of Functions
4. Properties of Inverse Functions
Chapter 03 Matrices
Topics Covered
1. Introduction of Matrices
2. Types of Matrices
3. Equality of Matrices
4. Mathematical Operation on Matrices
5. Properties of Addition of Matrices
6. Properties of Scalar Multiplication of Matrices
7. Multiplication of Matrices
8. Properties of Multiplication of Matrices
9. Transpose of Matrices
10. Properties of Transpose of Matrices
11. Symmetric and Skew-Symmetric Matrices
12. Transformation of Matrices
13. Invertible of Matrices
Chapter 04 Determinants
Topics Covered
1. Introduction of Determinants
2. Expansion of Determinants
3. Properties of Determinants
4. Area of Triangle in Determinants Form
5. Minors and Cofactor of Matrices
6. Adjoint and Inverse of Matrices
7. Singular and Non-Singular Matrices
8. Application of Matrices and Determinants
Chapter 05 Continuity and Differentiablity
Topics Covered
1. Introduction of Continuity
2. Method of Checking of a Function to be Continuous
3. Algebra of Continuous Function
4. Introduction of Differentiablity
5.  Method of Checking of a Function to be Differentiable
6. Derivative of Composite Function 
7. Chain Rule of Differentiation
8. Derivative of Implicit Function
9. Derivative of Inverse Trigonometric Function
10. Exponential Function and Its Properties and Graph
11.  Exponential Function and Its Properties and Graph
12. Logarithmic Differentiation
13. Derivative of Function in Parametric Function Forms
14. Second Order Derivative
15. Rolle’s Theorem
16. Mean Value of Theorem
Chapter 06 Application of Derivative
Topics Covered
1. Rate of Change of Quantities
2. Increasing and Decreasing Function
3. Tangent and Normal
4. Approximation
5. Maxima and Minima
6. First Derivative Test
7. Second Derivative Test
8. Maxima and Minima Derivative Test
Chapter 07 Integration
Topics Covered
1. Integral As the Inverse of Differentiation
2. Integration Formulas
3. Geometric Meaning of Indefinite Integrals
4. Properties of Indefinite Integrals
5. Comparison Between Differentiation and Integration
6. Method of Integration By Substitution
7.  Method of Integration By Partial Fraction
8.  Method of Integration By Parts
9. Integration By Using Trigonometrical Identities
10. Integration of Some Particular Functions
11.  Integration of Some Important Functions
12. Introduction of Definite Integration
13. Definite Integration as Limit of a Sum
14. Area Function of Definite Integration
15.  Some Important Properties of Definite Integrals
Chapter 08 Application of Integrals
Topics Covered
1. Area Under Simple Curve
2. Area of Region Bounded By a Curve and a Line
3. Area Between Two Curve
Chapter 09 Differential Equations
Topics Covered
1. Introduction to Differential Equations
2. Order of Differential Equation
3. Degree of Differential Equation
4. General and Particular Solution of Differential Equation
5. Formation of Differential Equations
6. Method of Solving First Order and First Degree Differential Equation
7. Homogeneous Equation of Differential Equation
8. Linear Differential Equation
Chapter 10 Vector Algebra
Topics Covered
1. Introduction of Scalar and Vector
2. Direction Cosines
3. Types of Vectors
4. Types of Vectors
5. Addition of Vectors and Its Vectors
6. Multiplication of Vector By Scalar
7. Components of Vectors
8. Section Formula
9.  Scalar Product of Two Vectors and Its Properties
10. Vector Product of Two Vectors and Its Properties
11. Projection of Vector on a Line 
12. Area of Parallelogram
Chapter 11 Three Dimensional (3D) Geometry
Topics Covered
1. Direction Cosine and Direction Ratio of a Line
2. Relation Between Direction Cosine of a Line
3. Direction Cosine of Line Passing Through Two Points
4. Equation of Line In 3D Through a Given Point and Given Parallel Vector
5.  Equation of Line In 3D Through Two Given Point
6. Angle Between Two Lines
7. Shortest Distance Between Two Lines
8. Distance Between Two Skew Lines
9. Distance Between Parallel Lines
10. Equation of Plane in Normal Form
11. Equation of a Plane Perpendicular To A Given Vector
12.  Equation of Plane Passing Through Three Given Points
13. Intercept Form of Equation of a Line
14. Equation of Plane Passing Through Two Given Planes
15. Coplanarity of Two Lines
16. Angle Between Two Planes
17. Distance of a Point From a Plane
18. Angle Between a Line and Plane
Chapter 12 Linear Programming
Topics Covered
1. Introduction to Linear Programming and Mathematical Formulation
2. Mathematical Formulation of Given Problems
3. Objective Function and Constraint
4. Graphical Solution of Linear Programming
5. Types of Linear Programming Problems
6. Ellipse and Its Standard Equation and Other Concepts
7. hyperbola and Its Standard Equation and Other Concepts
Chapter 13 Probability
Topics Covered
1. Revision of Probability Studied in Previous Classes 
2. Conditional Probability ad Its Properties
3. Multiplication Theorem on Probability
4. Independent Events
5. Bays Theorem
6. Total probability
7. Random Variables and Probability Distribution
8. Probability Distribution of Random Variables
9. Mean of Random Variables
10.  Variance of Random Variables
11.  Bernoulli Trials and Binomial Distribution