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Mathematics XII Part-I

By Prof. T. P. Sarma   |   DESM, NCERT, New Delhi
Learners enrolled: 5184
Mathematics is poetry of all creative and logical ideas. Everyone around us, be it a cook, a carpenter, an engineer, or scientist, everyone needs mathematics in their day to day life. Mathematical education is based on the twin premises that all students can learn mathematics and that all students need to learn mathematics. The course will deal with the concepts from class 12th mathematics like certain Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability and Applications of Derivatives. The course is divided into week wise schedule and as one will go through the course each week, it contains certain module(s) containing e-text, video tutorial along with self-assessment questions for practice and weblinks for extra study will be provided for learning.
Summary
Course Status : Completed
Course Type : Core
Duration : 24 weeks
Category :
  • School
Credit Points : 2
Level : School
Start Date : 15 May 2020
End Date : 29 Oct 2020
Enrollment Ends : 31 Aug 2020
Exam Date : 15 Oct 2020 IST

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


Page Visits



Course layout


Week

Modules

Week 0

Introduction to the Course

Week 1

Equivalence Relation- (lemh_10101)

Week 2

Bijective Functions- (lemh_10102)

Week 3

Composition of Functions- (lemh_10103)

Week 4

Invertible Functions- (lemh_10104)

Week 5

Binary Operations- (lemh_10105)

Assignment of Chapter 1

Week 6

Composition of functions and inverse of a function- (lemh_10201)

Week 7

Cosine function is a function- (lemh_10202)

Week 8

Inverse of Cotangent Function- (lemh_10203)

Week 9

Properties of Trigonometric functions-  (lemh_10204)

Assignment of Chapter 2

Week 10

Construction of the Matrices, its types and equal matrices- (lemh_10301)

Week 11

Operations on matrices including matrix multiplication- (lemh_10302)

Week 12

Transpose of a Matrix, Symmetric and Skew symmetric matrices, Elementary Operations of a Matrix and Invertible Matrices- (lemh_10303)

Assignment of Chapter 3

Week 13      

Determinants: Part 1- (lemh_10401)

Week 14

Determinants: Part 2- (lemh_10402)

Week 15

Determinants: Part 3- (lemh_10403)

Week 16

Determinants: Part 4- (lemh_10404)

Week 17

Determinants: Part 5- (lemh_10405)

Assignment of Chapter 4

Week 18

Continuity and Differentiability: Part 1- (lemh_10501)

Week 19

Continuity and Differentiability: Part 2- (lemh_10502)

Assignment of Chapter 5

Week 20

Introduction to Rate and derivatives- (lemh_10601)

Week 21

Increasing and Decreasing functions- (lemh_10602)

Week 22

Slope and Equation of Tangents and Normals- (lemh_10603)

Week 23

First and Second Derivative of Local Maxima and Minima- (lemh_10604)

Assignment of Chapter 6


Books and references

NCERT "Mathematics Part-I" for Class - XII

Instructor bio

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 participants will get participation / completion certificate.



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