Ch06. Applications of Derivatives – 1Y

Ch06. Applications of Derivatives – 1Y

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool)....
Ch10. Circles

Ch10. Circles

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Ch15. Probability

Ch15. Probability

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Ch12. Introduction to three dimensional geometry – 1Y

Ch12. Introduction to three dimensional geometry

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.

Ch07. Properties of Integrals – 1Y

Ch7. Properties of Integrals

This self study course is an extended part of chapter 7 Integrals of Class 12 Maths. In this course, you will learn properties of definite Integrals and their derivations. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that has questions from NCERT Textbook exercise 7.11, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

Ch10. Straight Lines Assignments – 1Y

Ch10. Straight Lines Assignments – 1Y

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 Assignments – 1Y

Ch11. Conic Sections Assignments – 1Y

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. Linear Programming Problems – 1Y

Ch12. Linear Programming Problems

In this self study course, you will learn introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions (except Exercise 12.1). 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.

Ch09. Differential Equations – 1Y

Ch9. Differential Equations

In this self study course, you will learn definition, order and degree, general and particular solutions of a differential equation. formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:
\frac{dy}{dx}+ py = q, where p and q are functions of y or constants
\frac{dx}{dy}+ px = q, where p and q are functions of y or constants

For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions. Also, there are practice 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.

Ch08. Limit of Sum & Application of Definite Integrals – 1Y

Ch8. Limit of Sum & Application of Definite Integrals

In this self study course, you will learn limit of sum, applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only), area between any of the two above said curves (the region should be clearly identifiable). For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that has questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

Ch8. Introduction to Trigonometry

Ch8. Introduction to Trigonometry

In this self study course, you will learn trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0°, 90°. Values of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios. Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

Ch6. Triangles

Ch6. Triangles

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Polynomials Class 10 Assignments

Polynomials Class 10 Assignments

This course 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 10 Mathematics.
Ch04. Determinants Class 12 Assignments – 1Y

Ch04. Determinants Class 12 Assignments – 1Y

This course 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 12 Mathematics.
Ch03. Matrices Class 12 Assignments – 1Y

Ch03. Matrices Class 12 Assignments – 1Y

This course 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 12 Mathematics.
Ch08. Binomial Theorem Assignments – 1y

Ch08. Binomial Theorem Assignments – 1y

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.

Ch07. Integrals – 1Y

Ch7. Integrals

In this self study course, you will learn integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them

\int{\frac{dx}{x^2 \pm a^2}}, \int{\frac{dx}{\sqrt{x^2 \pm a^2}}}, \int{\frac{dx}{\sqrt{a^2 - x^2}}}, \int{\frac{dx}{ax^2+bx+c}}, \int{\frac{dx}{\sqrt{ax^2+bx+c}}}, \int{\frac{px+q}{ax^2+bx+c}}dx, \int{\frac{px+q}{\sqrt{ax^2+bx+c}}}dx, \int{\sqrt{a^2 \pm x^2}}dx, \int{\sqrt{x^2-a^2}}dx, \int{\sqrt{ax^2+bx+c}}dx, \int{(px+q) \sqrt{ax^2+bx+c}}dx

For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that has questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.
“Limit of Sum” and “Properties of Integrals” are not included in this course.

Ch13. Probability – 1Y

Ch13. Probability

In this self study course, you will learn conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean and variance of random variable. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

Ch02. Inverse Trigonometric Functions – 1Y

Ch2. Inverse Trigonometric Functions

In this self study course, you will learn definition, range, domain, principal value branch, graphs of inverse trigonometric functions and elementary properties of inverse trigonometric functions. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that has questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

Ch01. Relations and Functions (Part – 2) – 1Y

Ch1. Relations and Functions (Part – 2)

In this self study course, you will learn One to one and onto functions, composite functions and inverse of a function. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that has questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

Ch16. Probability – 1Y

Ch16. Probability

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.

Ch15. Statistics – 1Y

Ch15. Statistics

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.

Mathematical Reasoning Class 11 Maths

Mathematical Reasoning Class 11 Maths

Syllabus: Mathematically acceptable statements. Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”,...
Ch11. Conic Sections – 1Y

Ch11. Conic Sections – 1Y

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.

Ch10. Straight Lines – 1Y

Ch10. Straight Lines

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.

Ch08. Binomial Theorem – 1Y

Ch8. Binomial Theorem

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.

Ch07. Permutations and Combinations – 1Y

Ch7. Permutations and Combinations

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.

Ch04. Principle of Mathematical Induction – 1Y

Ch04. Principle of Mathematical Induction – 1Y

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.