In this self-study course you will learn 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. Difference of sets. Complement of a set. Properties of Complement. This course also has solutions of NCERT Exercise questions. Please note, this course does not have solutions of all miscellaneous exercise questions. Only last four questions of miscellaneous exercise are available in this course.

# Class 11 Maths Six Months

Full syllabus of Class 11 Maths divided into 24 self study courses which include explanation of all the chapters (excluding Mathematical Reasoning), NCERT Exercise solutions, NCERT Examples, NCERT Exemplar Problem, Board’s Question Bank that are arranged within assignments created by Ashish Kumar (Agam Sir), which also include Notes in PDF form. On this page courses are available under six months membership plan.

## Ch02. Relations and Functions – 180D

This course is the part-1 of Ch02. Relations and Functions of Class 11 Maths. In this self-study course you will learn 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 (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Sum, difference, product and quotients of functions. This course also has solutions of NCERT Exercise questions. Please note, questions based on Domain and Range of a function is available in the part-2 of this course.

## Ch02. Domain and Range of Functions – 180D

This course is the part-2 of Ch02. Relations and Functions of Class 11 Maths. In this self-study course you will learn 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. This course also has solutions of NCERT Exercise questions and solutions of assignments that have questions from NCERT Exemplar, R.D. Sharma, Board’s question bank etc.

## Ch03. Trigonometric Functions – 180D

In this self-study course you will learn 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 sin²x + cos²x = 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 sinx, siny, cosx & cosy and their simple applications. Deducing identities. Laws of Sines and cosines. This course also has solutions of NCERT Exercise questions. This course does not include solutions of Supplementary exerise based on Laws of Sines and cosines. Please note, this course comprises of live session recordings of Ashish Kumar (Agam Sir). Please ignore, if you have heard Agam Sir discussing about live session or doubts session in the course. Live sessions or doubts sessions are no longer offered.

## Ch03. Trigonometric Functions Assignments – 180D

This self study course is an extended part of Ch03. Trigonometric Functions Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course. Please note, the assignments do not have questions based on laws of sines and cosines.

## Ch04. Principle of Mathematical Induction – 180D

In this self study course, you will learn process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples.

## Ch05. Complex Numbers & Quadratic Equations – 180D

In this self study course, you will learn Need for complex numbers, especially \sqrt{-1} , to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers.Argand plane and polar representation of complex numbers.solution of quadratic equations (with real coefficients) in the complex number system.Square root of a complex number. This course also has solutions of NCERT Exercise questions.

## Ch05. Complex Numbers and Quadratic Equations Assignments – 180D

This self study course is an extended part of Ch05. Complex Numbers and Quadratic Equations Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch06. Linear Inequalities – 180D

In this self study course, you will learn 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. This course also has solutions of NCERT Exercise questions. Please note, this course does not include all questions of NCERT Exercises. For more details, check the index of the course.

## Ch06. Linear Inequalities Assignments – 180D

This self study course is an extended part of Ch06. Linear Inequalities Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch07. Permutations and Combinations – 180D

In this self study course, you will learn fundamental theorem of counting, factorial, permutations and combinations. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples. This course also has assignments that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch08. Binomial Theorem – 180D

In this self study course, you will learn history, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT Examples.

## Ch08. Binomial Theorem Assignments – 180D

This course is extended part of main course of Ch8. Binomial Theorem and is based on the assignments by Ashish Kumar (Agam Sir). The assignments have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc., under the syllabus of Class 11 Mathematics. PDF of assignments can be downloaded within the course.

## Ch09. Sequences and Series – 180D

In this self study course, 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.). For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples.

## Ch09. Sequences and Series Assignments – 180D

This self study course is an extended part of Ch09. Sequences and Series Class 11 Maths. The course is based on the assignments by Ashish Kumar (Agam Sir), which have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc. The PDF of assignments can be downloaded within the course.

## Ch10. Straight Lines – 180D

In this self study course, you will learn brief recall of two dimensional geometry from earlier classes. Shifting of origin. 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. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT examples.

## Ch10. Straight Lines Assignments – 180D

This course is extended part of main course of Ch10. Straight Lines and is based on the assignments by Ashish Kumar (Agam Sir). The assignments have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc., under the syllabus of Class 11 Mathematics. PDF of assignments can be downloaded within the course.

## Ch11. Conic Sections – 180D

In this self study course, you will learn standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions.

## Ch11. Conic Sections Assignments – 180D

This course is extended part of main course of Ch11. Conic Sections and is based on the assignments by Ashish Kumar (Agam Sir). The assignments have questions from NCERT Exemplar, Board’s Question Bank, R. D. Sharma etc., under the syllabus of Class 11 Mathematics. PDF of assignments can be downloaded within the course.

## Ch12. Introduction to three dimensional geometry – 180D

In this self study course, you will learn coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch13. Limits (Limits and Derivatives Part -1) – 180D

In this self study course, intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. For further understanding of concepts and for examination preparation, this course has explanation of NCERT Exercise 13.1, NCERT Supplementary Exercise questions, important NCERT examples and questions based on the above topics are discussed in the form of assignments that has questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

## Ch13. Derivatives (Limits and Derivatives Part-2) – 180D

In this self study course, definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions. This is the second part of chapter 13 limits and derivatives and for further understanding of concepts and for examination preparation, this course has explanation of NCERT Exercise 13.2, NCERT Miscellaneous Exercise questions, and questions based on chain rule are discussed in the form of assignment that has questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignment can be downloaded within the course.

## Ch15. Statistics – 180D

In this self study course, you will learn measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions. Also, there is practice assignment that has questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignment can be downloaded within the course.

## Ch16. Probability – 180D

In this self study course, you will learn 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. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.