Mathematics

Mathematics 12

Mathematics 12

Course Description

In this course, students will learn the concepts such as, relations and functions, inverse trigonometric functions, matrices, continuity and differentiability of functions. Students will also learn the calculus topics differentiation, integrals, differential equations, and applications of derivatives and integrals. They also acquire knowledge about vector algebra, three-dimensional geometry, linear programming, and probability.

What you’ll learn
  • Relations and Functions - 12
  • Inverse Trigonometric Functions
  • Matrices
  • Determinants
  • Continuity and Differentiability
  • Application of Derivatives
  • Integrals
  • Application of Integrals
  • Differential Equations
  • Vector Algebra
  • Three Dimensional Geometry
  • Linear Programming
  • Probability - 12
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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This course includes
  • Units 13
  • Lessons 155
  • Expiry Date Full lifetime access
  • Language English
  • Last Updated Nov 08 2022

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