Karnataka Board 1st PUC Maths Syllabus

Often forgotten but still a highly recommended document of high value, that is a class syllabus. Samways, one should also appreciate the Karnataka Board Class 11 Maths Syllabus. From the sets and functions to trigonometry, algebra, as well as permutations and combinations, the highly structured Karnataka State Board Math Syllabus for 1st PUC, will take the students through the entire content of the subject that is covered in the course, during the year.

If a student follows the Karnataka PU board syllabus correctly, they would not have to spend the class confused, wondering what concept would be taken during a specific math period. In other words, a class syllabus is like a subject wise report indicating to the student which faculty would be taking a particular concept or subject during which particular class.

How do Karnataka Board Class 11 Syllabus for Math help?

The Karnataka Board 1st puc Syllabus can also act as a bridge to the student so that he can gauge his interest or estimate his learning gap of a subject and work hard to overcome that. Some other benefits or use of class 11 maths syllabus given below:

  • Help students to gauge their interest in or grasp of a particular concept of Class 11 Maths
  • Gives Teachers a better indication of how to plan for their lectures or classes
  • Gives students clear information as to what will be covered in Class 11 Maths for the entire year
  • Students can also prepare ahead for a particular math period by learning the concepts covered in a sub-topic

What is an effective Karnataka Board 1st puc Math Syllabus?

An effective 1st puc Karnataka Board Syllabus for 11th Math is one that very clearly indicates to the students the importance of a particular subject or course and what they can get out of it. Also, it will tell them if taking a particular subject will help them in their further or higher studies. It will also clearly tell a student about the practical as well as the intellectual objective of maths. Main points of interest in the Karnataka secondary education examination board syllabus include:

  • Instructor information and details
  • A list of references or reading materials to follow
  • Will indicate to the student about the leave policies
  • Will tell the students about the grading process, or how marks are given
  • Information about any expected group or solo assignments and the due date

A well-constructed and effective syllabus can also be interactive by letting the student play a role in developing it. Now, check here to see a copy of the Class 11 Maths Syllabus.

Karnataka Board Maths Syllabus for Class 11

1. Sets

1.1 Introduction

1.2 Sets and their Representations

1.3 The Empty Set

1.4 Finite and Infinite Sets

1.5 Equal Sets

1.6 Subsets

1.7 Power Set

1.8 Universal Set

1.9 Venn Diagrams

1.10 Operations on Sets

1.11 Complement of a Set

1.12 Practical Problems on Union and Intersection of Two Sets

2. Relations and Functions

2.1 Introduction

2.2 Cartesian Product of Sets

2.3 Relations

2.4 Functions

3. Trigonometric Functions

3.1 Introduction

3.2 Angles

3.3 Trigonometric Functions

3.4 Trigonometric Functions of Sum and Difference of Two Angles

3.5 Trigonometric Equations

4. Principle of Mathematical Induction

4.1 Introduction

4.2 Motivation

4.3 The Principle of Mathematical Induction

5. Complex Numbers and Quadratic Equations

5.1 Introduction

5.2 Complex Numbers

5.3 Algebra of Complex Numbers

5.4 The Modulus and the Conjugate of a Complex Number

5.5 Argand Plane and Polar Representation

5.6 Quadratic Equations

6. Linear Inequalities

6.1 Introduction

6.2 Inequalities

6.3 Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation

6.4 Graphical Solution of Linear Inequalities in Two Variables

6.5 Solution of System of Linear Inequalities in Two Variables

7. Permutations and Combinations

7.1 Introduction

7.2 Fundamental Principle of Counting

7.3 Permutations

7.4 Combinations

8. Binomial Theorem

8.1 Introduction

8.2 Binomial Theorem for Positive Integral Indices

8.3 General and Middle Terms

9. Sequences and Series

9.1 Introduction

9.2 Sequences

9.3 Series

9.4 Arithmetic Progression (A.P.)

9.5 Geometric Progression (G.P.)

9.6 Relationship Between A.M. and G.M.

9.7 Sum to n terms of Special Series

10. Straight Lines

10.1 Introduction

10.2 Slope of a Line

10.3 Various Forms of the Equation of a Line

10.4 General Equation of a Line

10.5 Distance of a Point From a Line

11. Conic Sections

11.1 Introduction

11.2 Sections of a Cone

11.3 Circle

11.4 Parabola

11.5 Ellipse

11.6 Hyperbola

12. Introduction to Three Dimensional Geometry

12.1 Introduction

12.2 Coordinate axis and Coordinate Planes in Three Dimensional Space

12.3 Coordinates of a Point in Space

12.4 Distance between Two Points

12.5 Section Formula

13. Limits and Derivatives

13.1 Introduction

13.2 Intuitive Idea of Derivatives

13.3 Limits

13.4 Limits of Trigonometric Functions

13.5 Derivatives

14. Mathematical Reasoning

14.1 Introduction

14.2 Statements

14.3 New Statements from Old

14.4 Special Words/Phrases

14.5 Implications

14.6 Validating Statements

15. Statistics

15.1 Introduction

15.2 Measures of Dispersion

15.3 Range

15.4 Mean Deviation

15.5 Variance and Standard Deviation

15.6 Analysis of Frequency Distributions

16. Probability

16.1 Introduction

16.2 Random Experiments

16.3 Event

16.4 Axiomatic Approach to Probability

Appendix 1: Infinite Series

A.1.1 Introduction

A.1.2 Binomial Theorem for any Index

A.1.3 Infinite Geometric Series

A.1.4 Exponential Series

A.1.5 Logarithmic Series

Appendix 2: Mathematical Modelling

A.2.1 Introduction

A.2.2 Preliminaries

A.2.3 What is Mathematical Modelling

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