Mathematics

Mathematics 11

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Course Description

This course introduces students to a wide variety of abstract concepts that forms the core of various scientific studies including physics and engineering. This course comprises topics related to sets, functions, trigonometry, derivative, statistics, coordinate geometry and more.

What you’ll learn
  • Sets
  • Relations and Functions
  • Trigonometric Functions
  • Principle of Mathematical Induction
  • Complex Numbers and Quadratic Equations
  • Linear Inequalities
  • Permutations and Combinations
  • Binomial Theorem
  • Sequences and Series
  • Straight Lines
  • Conic Sections
  • Introduction to Three Dimensional Geometry
  • Limits and Derivatives
  • Mathematical Reasoning
  • Statistics-11
  • Probability-11
1.1: Introduction to Sets  

01:25

2.1: Learning Objectives  

00:26

3.1: Set Notations and Examples  

01:12

4.1: Representations of Sets  

02:35

5.1: Some Special Sets  

04:17

6.1: Subsets and Venn Diagram  

06:02

7.1: Operations on Sets  

04:14

8.1: Summary  

02:57

9.1: Sets - Assessment  

10.1: Sets - Answer Key  

1.1: Basic Concepts  

04:15

2.1: Learning Objectives of Relations and Functions  

00:14

3.1: Relation  

06:52

4.1: Functions  

03:17

No activity found

6.1: Algebra of Real Functions  

01:09

7.1: Summary of Relations and Functions  

02:05

8.1: Relations and Functions - Assessment  

9.1: Relations and Functions - Answer Key  

1.1: Basic concepts of Trigonometric Functions  

05:46

2.1: Learning Objectives of Trigonometric Functions  

00:34

3.1: Sign of Trigonometric Functions  

04:37

4.1: Domain, Range and Period  

07:31

5.1: Important Formulae  

07:13

6.1: Trigonometric Equations  

02:55

7.1: Summary of Trigonometric Functions  

03:01

8.1: Trigonometric Functions - Assessment  

9.1: Trigonometric Functions - Answer Key  

1.1: Introduction of Principle of Mathematical Induction  

00:41

2.1: Learning Objectives of Principle of Mathematical Induction  

00:12

3.1: Motivation  

00:49

4.1: The Principle of Mathematical Induction  

00:46

5.1: Working Rules  

00:37

6.1: Important Results  

00:36

No activity found

8.1: Example 2  

02:59

9.1: Summary of Principle of Mathematical Induction  

01:01

10.1: Principle of Mathematical Induction - Assessment  

11.1: Principle of Mathematical Induction - Answer Key  

1.1: Introduction of Complex Numbers and Quadratic Equations  

01:35

2.1: Learning Objectives of Complex Numbers and Quadratic Equations  

00:23

3.1: Complex Numbers  

01:43

No activity found

5.1: The Modulus and the Conjugate of a Complex Number  

01:41

6.1: Argand Plane and Polar Representation of a Complex Number  

02:09

7.1: Quadratic Equations of Complex Numbers and Quadratic Equations  

01:58

8.1: Summary of Complex Numbers and Quadratic Equations  

01:36

9.1: Complex Numbers and Quadratic Equations - Assessment  

10.1: Complex Numbers and Quadratic Equations - Answer Key  

1.1: Introduction of Linear Inequalities  

02:26

2.1: Learning Objectives of Linear Inequalities  

00:23

3.1: Types of Inequalities  

02:45

4.1: Algebraic Solutions  

06:57

5.1: Graphical Representation  

08:40

6.1: Summary of Linear Inequalities  

01:25

7.1: Linear Inequalities - Assessment  

8.1: Linear Inequalities - Answer Key  

1.1: Introduction of Permutations and Combinations  

00:53

2.1: Learning Objectives of Permutations and Combinations  

00:41

3.1: Fundamental Principle of Counting  

03:51

4.1: Permutations  

05:35

5.1: Combinations  

02:16

6.1: Summary of Permutations and Combinations  

02:15

7.1: Permutations and Combinations - Assessment  

8.1: Permutations and Combinations - Answer Key  

1.1: Introduction of Binomial Theorem  

00:51

2.1: Learning Objectives of Binomial Theorem  

00:31

3.1: Binomial Expansion  

03:02

4.1: Binomial Theorem  

01:48

No activity found

6.1: Summary of Binomial Theorem  

01:56

7.1: Binomial Theorem - Assessment  

8.1: Binomial Theorem - Answer Key  

1.1: Introduction of Sequences and Series  

01:08

2.1: Learning Objectives of Sequences and Series  

00:23

3.1: Sequences  

02:23

4.1: Series  

02:01

5.1: Arithmetic Progressions (A.P)  

05:34

6.1: Geometric Progressions (G.P)  

04:45

7.1: Relation between Arithmetic mean and Geometric mean  

01:41

8.1: Sum to n terms of Special Series  

06:54

9.1: Summary of Sequences and Series  

02:10

10.1: Sequences and Series - Assessment  

11.1: Sequences and Series - Answer Key  

1.1: Introduction of Straight Lines  

00:18

2.1: Learning Objectives of Straight Lines  

00:18

3.1: Slope of a line  

04:40

4.1: Various forms of the equation of a line  

04:59

5.1: General equation of a line  

01:58

6.1: Distance of a point from a line  

02:26

7.1: Summary of Straight Lines  

02:26

8.1: Straight Lines - Assessment  

9.1: Straight Lines - Answer Key  

1.1: Introduction of Conic Sections  

01:04

2.1: Learning Objectives of Conic Sections  

00:21

3.1: Intersection of Cone with a Plane  

01:51

4.1: Sections of a Cone - 1  

08:29

5.1: Sections of a Cone - 2  

07:19

6.1: Summary of Conic Sections  

01:59

7.1: Conic Sections - Assessment  

8.1: Conic Sections - Answer Key  

1.1: Introduction to Three Dimensional Geometry  

00:56

2.1: Learning Objectives of Three Dimensional Geometry  

00:17

3.1: Coordinate Axes _ Coordinatec  

04:02

4.1: Distance between Two Points  

02:27

5.1: Section Formula of Three Dimensional Geometry  

03:57

6.1: Summary of Three Dimensional Geometry  

00:55

7.1: Introduction to Three Dimensional Geometry - Assessment  

8.1: Introduction to Three Dimensional Geometry - Answer Key  

1.1: Introduction of Limits and Derivatives  

01:24

2.1: Learning Objectives of Limits and Derivatives  

00:19

3.1: Limits  

02:22

4.1: Algebra of Limits  

07:57

5.1: Limits of Trigonometric  

05:20

6.1: Derivatives  

04:41

7.1: Algebra of Derivative of Functions  

03:22

8.1: Summary of Limits and Derivatives  

07:29

9.1: Limits and Derivatives - Assessment  

10.1: Limits and Derivatives - Answer Key  

1.1: Introduction of Mathematical Reasoning  

00:54

2.1: Learning Objectives of Mathematical Reasoning  

00:16

3.1: Statements of Mathematical Reasoning  

02:51

4.1: Special Words Phrases  

04:05

5.1: Implications  

02:28

6.1: Validating Statements  

05:52

7.1: Summary of Mathematical Reasoning  

01:02

8.1: Mathematical Reasoning - Assessment  

9.1: Mathematical Reasoning - Answer Key  

1.1: Introduction of Statistics 11  

01:21

2.1: Learning Objectives of Statistics 11  

00:19

3.1: Measures of Dispersion  

01:45

4.1: Mean Deviation  

08:10

5.1: Variance And Standard Deviation  

04:16

6.1: Summary of Statistics  

02:36

7.1: Statistics11 - Assessment  

8.1: Statistics11 - Answer Key  

1.1: Introduction of Probability 11  

00:58

2.1: Learning Objectives of Probability 11  

00:21

3.1: Probability, Random Experiment and Sample Space  

02:29

4.1: Event and its Types  

03:36

5.1: Algebra of Events  

04:51

6.1: Axiomatic Approach to Probability  

06:21

7.1: Summary of Probability 11  

01:11

8.1: Probability11 - Assessment  

9.1: Probability11 - Answer Key  

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This course includes
  • Units 16
  • Lessons 141
  • Expiry Date Full lifetime access
  • Language English
  • Last Updated Nov 08 2022

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