Mathematics 12

Mathematics
Course content
Note:
L - Lesson   A - Activity
1.1: Introduction  

00:40

2.1: Learning Objectives  

00:15

3.1: Type of Relations  

01:26

4.1: Equivalence relation  

03:42

5.1: Functions  

00:18

6.1: Type of functions  

04:58

7.1: Examples  

01:34

8.1: Binary Function  

01:06

9.1: Summary  

01:38

10.1: Relations and Functions - Assessment  

11.1: Relations and Functions - Answer key  

1.1: Introduction-Inverse Trigonometric Functions  

00:56

2.1: Learning Objectives-Inverse Trigonometric Functions  

00:24

3.1: Inverse of a Function  

02:59

4.1: Finding principal value  

01:29

5.1: Important Properties  

01:50

6.1: Conversion-Inverse Trigonometric Functions  

02:24

7.1: Conversion -Example  

00:50

8.1: Summary-Inverse Trigonometric Functions  

01:19

9.1: Inverse Trigonometric Functions - Assessment  

10.1: Inverse Trigonometric Functions - Answer key  

1.1: Introduction  

01:19

2.1: Learning Objectives-Matrices  

00:21

3.1: Matrix and Order  

01:08

4.1: Type of Matrices  

01:57

5.1: Equality of Matrices  

00:30

6.1: Operations on Matrices  

04:09

7.1: Transpose of a Matrix  

01:33

8.1: Symmetric and Skew  

01:06

9.1: Elementary operations  

01:43

10.1: Inverse of a Matrix  

02:50

11.1: Summary  

01:55

12.1: Matrices - Assessment  

13.1: Matrices - Answer key  

1.1: Introduction-Determinants  

00:41

2.1: Learning Objectives-Determinants  

00:34

3.1: Determinants  

02:24

4.1: Properties of Determinants  

02:53

5.1: Minors and Cofactors  

03:09

6.1: Applications of Determinants  

03:33

7.1: Consistency of linear equations  

03:37

8.1: Summary-Determinants  

01:40

9.1: Determinants - Assessment  

10.1: Determinants - Answer key  

1.1: Introduction  

00:48

2.1: Learning Objectives  

00:33

3.1: Continuity  

01:42

4.1: Algebra of Continuous  

03:30

5.1: Differentiability  

02:58

6.1: Derivatives of composite functions  

01:33

7.1: Derivatives of implicit functions  

02:27

8.1: Derivatives of inverse  

01:28

9.1: Exponential and Logarithmic function  

02:17

10.1: Parametric forms  

02:11

11.1: Second order derivative  

03:19

12.1: Important theorems  

02:01

13.1: Summary  

02:33

14.1: Continuity and Differentiability - Assessment  

15.1: Continuity and Differentiability - Answer key  

1.1: Introduction  

01:08

2.1: Learning Objectives  

00:33

3.1: Increasing and decreasing functions  

04:09

4.1: Rate of change of quantities  

03:43

5.1: Tangents and Normals  

03:14

6.1: Approximate values of functions  

02:32

7.1: Maxima _ Minima  

01:29

8.1: Local Maxima and Minima  

03:41

9.1: Maxima _ Minima Closed interval  

02:23

10.1: Summary  

01:16

11.1: Application of Derivatives - Assessment  

12.1: Application of Derivatives - Answer key  

1.1: Introduction-Integrals  

01:04

2.1: Learning Objectives-Integrals  

00:50

3.1: Integration Inverse process of Differentiation  

02:09

4.1: Geometrical interpretation  

01:13

5.1: Properties of indefinite integrals  

01:25

6.1: Comparison Differentiation Integration  

02:00

7.1: Integration by substitution  

02:02

8.1: Integration using Trigonometric identities  

01:19

9.1: Particular functions Integration  

02:39

10.1: Integration Partial fraction  

01:56

11.1: Integration By Parts  

01:25

12.1: Integration ILATEC  

01:35

13.1: Some Important Integrals  

01:00

14.1: Definite integral Limit of sum  

02:31

15.1: Fundamental Theorem of Calculus  

02:06

16.1: Definite integrals Evaluation and Properties  

01:52

17.1: Summary-Integrals  

02:52

18.1: Integrals - Assessment  

19.1: Integrals - Answer key  

1.1: Introduction  

00:40

2.1: Learning Objectives  

00:31

3.1: Area under simple curves  

02:01

4.1: Area bounded by a curve and a line  

01:53

5.1: Area bw 2 curves  

01:35

6.1: Summary  

00:48

7.1: Application of Integrals - Assessment  

8.1: Application of Integrals - Answer key  

1.1: Introduction  

01:03

2.1: Learning Objectives  

00:31

3.1: Order and Degree  

00:46

4.1: General and Particular  

01:56

5.1: Formation of differential equation  

02:12

6.1: Methods of solving differential equation  

07:11

7.1: Summary  

01:05

8.1: Differential Equation - Assessment  

9.1: Differential Equation - Answer key  

1.1: Introduction  

01:30

2.1: Learning Objectives  

00:30

3.1: Basic concepts  

02:12

4.1: Types of vectors  

01:57

5.1: Operations on Vectors  

01:42

6.1: Second law of motion  

01:37

7.1: Section formula  

02:11

8.1: Product of two vectors  

03:06

9.1: Summary  

00:52

10.1: Vector Algebra - Assessment  

11.1: Vector Algebra - Answer key  

1.1: Introduction  

01:29

2.1: Learning Objectives  

00:26

3.1: Direction cosines of a line  

02:30

4.1: Equation of a line-passing through a point  

02:30

5.1: Equation of a line-passing through 2 points  

02:17

6.1: Angle between 2 lines  

01:47

7.1: Shortest distance between 2 lines  

03:16

8.1: Equation of a plane  

05:37

9.1: Intercept form of the equation of a plane  

01:58

10.1: Coplanarity of 2 lines Angle bw planes  

03:01

11.1: Distance of a point from a plane  

01:24

12.1: Angle bw a line and a plane  

01:12

13.1: summary  

02:25

14.1: Three Dimensional Geometry - Assessment  

15.1: Three Dimensional Geometry - Answer key  

1.1: Introduction-Linear Programming  

00:41

2.1: Learning Objectives-Linear Programming  

00:22

3.1: Basic Terms  

01:53

4.1: Mathematical formulation  

03:55

5.1: Graphical formulation  

02:01

6.1: Related Theorems  

00:55

7.1: Types of LPP  

05:27

8.1: Summary-Linear Programming  

00:57

9.1: Linear Programming - Assessment  

10.1: Linear Programming - Answer key  

1.1: Introduction  

00:37

2.1: Learning Objectives  

00:36

3.1: Conditional Probability  

03:31

4.1: Multiplication Theorem  

01:47

5.1: Independent events  

01:38

6.1: Bayes’ Theorem  

04:07

7.1: Random variables and their probability distributions  

04:13

8.1: Bernoulli Trials  

01:34

9.1: Binomial Distribution  

01:16

10.1: Summary  

01:02

11.1: Probability - Assessment  

12.1: Probability - Answer key  

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