# Mathematics XI Part-I

By Prof. T. P. Sarma   |   DESM, NCERT, New Delhi
Learners enrolled: 4810
Mathematics is a human activity, a social phenomenon a set of methods used to help illuminate the world . It is said so because it makes a man systematic. It nurtures the power of reasoning, creativity, critical thinking and problem solving ability. Mathematics is a part of our life experience which we will talk about in this course. Mathematics is the foundation and vitalizing energy for the basic sciences. This course will not only help to understand new concepts but also develop a new insight to view mathematics as an effective and joyful learning. The course will deal with the concepts from class 11th mathematics like sets and certain functions, trigonometric functions, quadratic equations, principle of mathematical induction, complex numbers, linear inequalities and permutation and combination. The course chapters are divided into certain modules which have been organized into week wise schedule where learners can have access to highly multimedia enriched videos along e-text, reading material, references and online assessments.
Summary
 Course Status : Completed Course Type : Core Duration : 24 weeks Category : School Credit Points : 2 Level : School Start Date : 12 Apr 2021 End Date : 30 Sep 2021 Enrollment Ends : 31 Aug 2021 Exam Date : 24 Sep 2021 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

### Course layout

 Chapter No. Module No. Module Name Chapter 1 Module 1 Set Notations Module 2 Subsets and Supersets Module 3 Venn Diagram Module 4 Algebra of Sets Module 5 Application of algebra on Sets Assignment 1 Chapter 2 Module 6 Relation and Functions Module 7 Domain and Range of Relations Module 8 Domain, Range and Types of functions Module 9 Problems based on Relation and Functions Assignment 2 Chapter 3 Module 10 Measurement of angles, degree, radian, conversion from radian to degree and vice versa, arc length Module 11 Sign of trigonometric functions Module 12 Domain, Range and Graph of Trigonometric functions Module 13 Sine and Cosine of sum and difference of two angles, tangent and cotangent of sum and difference of two angles Module 14 Trigonometric functions of multiple and submultiple angles Module 15 Transformation of sum and difference of trigonometric and functions into product of trigonometric functions Module 16 Trigonometric equations Module 17 Sine rule, Cosine rule Assignment 3 Chapter 4 Module 18 Principle of Mathematical Induction Module 19 Examples of Mathematical Induction Assignment 4 Chapter 5 Module 20 Complex Numbers – Introduction; Operations on Complex Numbers Module 21 Complex Numbers – Quadratic Equations with Complex Roots Assignment 5 Chapter 6 Module 22 Linear Inequalities Module 23 Equation and Inequality Module 24 Graphical solution of linear inequalities Module 25 Solving simultaneous equations Assignment 6 Chapter 7 Module 26 Permutation and Combination: Part 1 Module 27 Permutation and Combination: Part 2 Module 28 Permutation and Combination: Part 3 Assignment 7 Final Assessment

### Books and references

NCERT "Mathematics" for Class - XI

### Prof. T. P. Sarma

DESM, NCERT, New Delhi
Prof. T. P. Sarma
Educational Qualification M.Sc. , Ph.D. (Mathematics) from University of Delhi

Areas of Work Mathematics Education at School level Development of Teaching Materials, Teacher Training Material, Textual Material Research: Primary Mathematics, Mathematics Education, Mathematics.

### Course certificate

The final assessment will be conducted in the last week of the course i.e. from 24 Sept to 30 Sept 2021. The participants will get completion certificate if they score 70% and above in the final assessment.