Sonam
Online
About
Sonam is an online Mathematics tutor who teaches students from Class 10 to Class 12, including A Level and Further Mathematics. She focuses on explaining concepts in a clear and st...
Sonam is an online Mathematics tutor who teaches students from Class 10 to Class 12, including A Level and Further Mathematics. She focuses on explaining concepts in a clear and structured way, helping students understand each topic step by step. Her lessons include regular practice and problem-solving methods to improve accuracy and confidence. She supports students in building a strong foundation in Mathematics while keeping sessions focused and easy to follow. She teaches in Hindi and English, ensuring clear communication and better understanding during online classes.
Sonam
Online
Sonam is an online Mathematics tutor who teaches students from Class 10 to Class 12, including A Level and Further Mathematics. She focuses on explaining concepts in a clear and st...
Sonam is an online Mathematics tutor who teaches students from Class 10 to Class 12, including A Level and Further Mathematics. She focuses on explaining concepts in a clear and structured way, helping students understand each topic step by step. Her lessons include regular practice and problem-solving methods to improve accuracy and confidence. She supports students in building a strong foundation in Mathematics while keeping sessions focused and easy to follow. She teaches in Hindi and English, ensuring clear communication and better understanding during online classes.
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Courses by: Sonam
Mathematics Class 12
What You Will Learn
Unit 1: Relations and Functions
Types of relations
Functions and types of functions
Composition of functions
Inverse of functions
Binary operations
Unit 2: Inverse Trigonometric Functions
Definition and properties of inverse trigonometric functions
Principal value branches
Basic identities and problem solving
Unit 3: Matrices
Types of matrices
Matrix operations (addition, multiplication)
Transpose of a matrix
Determinant of matrices
Adjoint and inverse of matrices
Solving system of linear equations using matrices
Unit 4: Determinants
Properties of determinants
Evaluation of determinants
Minors and cofactors
Applications of determinants
Area of triangle using determinants
Unit 5: Continuity and Differentiability
Continuity of functions
Differentiability
Derivatives of composite functions
Chain rule
Logarithmic differentiation
Implicit differentiation
Unit 6: Applications of Derivatives
Rate of change
Increasing and decreasing functions
Tangents and normals
Maxima and minima
Approximation
Unit 7: Integrals
Indefinite integrals
Definite integrals
Fundamental theorem of calculus
Substitution method
Integration by parts
Integration using partial fractions
Unit 8: Applications of Integrals
Area under curves
Area between two curves
Unit 9: Differential Equations
Formation of differential equations
Methods of solving differential equations
Variable separable method
Homogeneous differential equations
Unit 10: Vectors
Vector algebra
Direction cosines and ratios
Scalar (dot) product
Vector (cross) product
Applications in geometry
Unit 11: Three Dimensional Geometry
Direction cosines
Equation of line in space
Shortest distance between lines
Angle between lines
Equation of plane
Unit 12: Linear Programming
Formulation of LPP
Graphical method
Feasible region
Optimization problems
Unit 13: Probability
Conditional probability
Multiplication theorem
Bayes’ theorem
Random variables
Probability distributions
Mathematics Class 11
What You Will Learn
Unit 1: Sets
Types of sets
Subsets and power sets
Union, intersection, complement of sets
Venn diagrams
De Morgan’s Laws
Unit 2: Relations and Functions
Cartesian product of sets
Types of relations
Types of functions
Domain and range of functions
Composition of functions
Unit 3: Trigonometric Functions
Trigonometric ratios
Trigonometric identities
Trigonometric equations
Graphs of trigonometric functions
General solutions of trigonometric equations
Unit 4: Complex Numbers and Quadratic Equations
Complex numbers
Algebra of complex numbers
Modulus and conjugate
Quadratic equations and roots
Nature of roots
Unit 5: Linear Inequalities
Solution of linear inequalities
Graphical representation on number line
System of linear inequalities
Unit 6: Permutations and Combinations
Fundamental principle of counting
Permutations
Combinations
Applications in counting problems
Unit 7: Binomial Theorem
Expansion of binomial expressions
General term
Middle term
Properties of binomial coefficients
Unit 8: Sequences and Series
Arithmetic Progression (AP)
Geometric Progression (GP)
Sum of n terms
Arithmetic Mean (AM)
Applications of sequences
Unit 9: Straight Lines
Slope of a line
Various forms of equation of a line
Distance between two points
Angle between lines
Unit 10: Conic Sections
Circle
Parabola
Ellipse
Hyperbola
Standard equations and properties
Unit 11: Introduction to Three-Dimensional Geometry
Coordinate axes in space
Distance between two points in space
Section formula
Unit 12: Limits and Derivatives
Introduction to limits
Basic derivative concepts
Derivative of simple functions
Unit 13: Statistics
Measures of central tendency
Mean, median, mode
Variance and standard deviation
Unit 14: Probability
Basic probability concepts
Events and outcomes
Addition theorem of probability
Mathematics Class 10
What You Will Learn
Unit 1: Real Numbers
Euclid’s Division Lemma
Fundamental Theorem of Arithmetic
Finding HCF and LCM
Decimal expansion of rational numbers
Unit 2: Polynomials
Zeros of polynomials
Relationship between zeros and coefficients
Division algorithm for polynomials
Graphs of polynomials
Unit 3: Pair of Linear Equations in Two Variables
Graphical method of solving equations
Algebraic methods (substitution and elimination)
Consistency of linear equations
Applications in word problems
Unit 4: Quadratic Equations
Standard form of quadratic equation
Solution using factorization
Solution using quadratic formula
Nature of roots
Applications of quadratic equations
Unit 5: Arithmetic Progressions (AP)
nth term of AP
Sum of first n terms
Applications of AP in daily life
Unit 6: Triangles
Similarity of triangles
Criteria for similarity
Pythagoras theorem and its converse
Applications of similarity
Unit 7: Coordinate Geometry
Distance formula
Section formula
Area of triangle using coordinates
Unit 8: Trigonometry
Trigonometric ratios
Trigonometric identities
Heights and distances
Applications of trigonometry
Unit 9: Circles
Tangents to a circle
Properties of tangents
Number of tangents from a point
Unit 10: Constructions
Division of line segments
Construction of tangents to circles
Unit 11: Areas Related to Circles
Area of circle
Area of sectors and segments
Applications of areas
Unit 12: Surface Areas and Volumes
Surface area and volume of solids
Combination of solids
Frustum of a cone
Unit 13: Statistics
Mean, median, mode
Cumulative frequency
Graphical representation of data
Unit 14: Probability
Classical probability
Finding probability of events
Location
H. No. 45, Govt. Employees Colony, Ghari Bolni Road, Rewari, Gurgaon, Haryana
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