Class 11 Maths
Class 11 Maths is considered the basic level for advanced level math studies. It introduces students to a wide variety of abstract concepts that forms the core of various scientific studies including physics and engineering. Thus, studying each and every topic covered under Class 11 maths is highly important for students.
Class 11 Maths Syllabus
CBSE Class 11 Maths syllabus comprises topics related to sets, functions, trigonometry, derivative, statistics, coordinate geometry and more. It covers various concepts in detail to help students acquire them with ease. Here is the complete syllabus of CBSE Class 11 Maths.
Sets and Functions
Periods Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets
Relations & Functions
Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself ( R x R only).Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs.
Periods Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2 x + cos2 x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple applications.
Complex Numbers and Quadratic Equations
Understanding the necessity for complex numbers, primarily √−1, solving quadratic equations. Learning algebraic properties of complex numbers. Argand plane. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.
Sequence and Series
Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solution of system of linear inequalities in two variables.
Permutations and Combinations
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula for nPr and nCr, simple applications.
Brief recall of two-dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Distance of a point from a line.
Sections of a cone: circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.
Introduction to Three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
Limits & Derivatives
Introduction to the intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.
Statistics and Probability
Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
Develop Class 11 Maths Skills
Class 11 maths focuses on developing various real life skills in students. At this stage, students progress their basic mathematical skills such as measuring values, determining multiples, factors, and time. A thorough understanding of these Class 11 maths concepts can be implemented through various interactive activities and visualization.
In Class 11 maths students are pretty comfortable with working on equations and develop their basic skills to work on linear inequalities. They also learn to find the algebraic solutions of linear inequalities in one variable and their representation on the number line.
Students must be able to understand, construct and describe function in various ways, including a graph, an algebraic expression, a recursive rule or the Fibonacci sequence.
Students must develop their skills in gathering, summarizing, representing, and interpreting data.
Class 11 Maths Tips and Tricks
Studying regularly will benefit in completing the class 11 maths syllabus properly without much stress. Students must properly complete their assignments and practice everyday to get a hold of complex topics.Students must begin with easier topics first and then gradually proceed to complex ones. It will help them develop important mathematical concepts with ease.
Solve Sample Question Papers
Solving question papers will not only enhance the speed and accuracy but will also help in decreasing the possibility of making small mistakes in calculations.