## Maths Olympiad Syllabus class 11

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**Syllabus for Class 11 Maths Olympiad**

**Unit-I: Sets and Functions**

**1. Sets**

- Sets and their representations.
- Finite and Infinite sets.
- Empty set. Power set. Equal sets. Subsets.
- Properties of Complement Sets.
- Venn diagrams. Difference of sets.
- Complement of a set.
- Universal set. Subsets of a set of real numbers especially intervals (with notations).
- Union and Intersection of sets.
- Practical Problems based on sets.

**2. Relations & Functions**

- Ordered pairs, Cartesian product of sets.
- Cartesian product of the sets of real (up to R x R).
- Pictorial representation of a function, domain, co-domain, and range of a function. Function as a special kind of relation from one set to another.
- Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Number of elements in the cartesian product of two finite sets.
- Sum, difference, product and quotients of functions.
- Real-valued functions, domain and range of these functions: modulus, exponential, constant, polynomial, identity, rational, Signum, logarithmic and greatest integer functions, with their graphs.

**3. Trigonometric Functions**

- Positive and negative Angles.
- Definition of trigonometric functions with the help of the unit circle.
- Truth of the sin2x+cos2x=1, for all x.
- Signs of trigonometric functions
- Domain and range of trigonometric functions and their graphs.
- Measuring angles in radians and in degrees and conversion of one into other. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple application.
- Deducing identities like the following: Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x.
- General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

**Unit-II: Algebra**

**1. Principle of Mathematical Induction**

- Process of the proof by induction.
- Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.
- The principle of mathematical induction and simple applications.

**2. Complex Numbers and Quadratic Equations**

- Need for complex numbers, especially √1, to be motivated by inability to solve some of the quadratic equations.
- Algebraic properties of complex numbers.
- Argand plane and polar representation of complex numbers.
- Statement of Fundamental Theorem of Algebra, solution of Quadratic equations in the complex number system. Square root of a complex number.

**3. Linear Inequalities**

- Linear inequalities.
- Algebraic solutions of linear inequalities in one variable and their representation on the number line.
- Graphical solution of linear inequalities in two variables. Graphical solution of system of linear inequalities in two variables.

**4. Permutations and Combinations**

- Fundamental principle of counting.
- Factorial n. (n!)Permutations and combinations,
- Derivation of formulae and their connections, simple applications.

**5. Binomial Theorem**

- History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle.
- General and middle term in binomial expansion, simple applications.

**6. Sequence and Series**

- Sequence and Series.
- Arithmetic Progression (A.P.). Arithmetic Mean (A.M.)
- Geometric Progression (G.P.), general term of a G.P.,
- Sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.),
- Relation between A.M. and G.M.
- Formula for the following special sum

**Unit-III: Coordinate Geometry**

**1. Straight Lines**

- Brief recall of two dimensional geometry from earlier classes. Shifting of origin.
- Slope of a line and angle between two lines.
- Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form.
- General equation of a line. Equation of family of lines passing through the point of intersection of two lines.
- Distance of a point from a line.

**2. Conic Sections**

- Sections of a cone: Circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section.
- Standard equations and simple properties of parabola, ellipse and hyperbola.
- Standard equation of a circle.

**3. Introduction to Three–dimensional Geometry**

- Coordinate axes and coordinate planes in three dimensions.
- Coordinates of a point.
- Distance between two points and section formula

**Unit-IV: Calculus**

**1. Limits and Derivatives**

- Derivative introduced as rate of change both as that of distance function and geometrically.
- Intuitive idea of limit.
- Limits of polynomials and rational functions, trigonometric, exponential and logarithmic functions.
- Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions.
- The derivative of polynomial and trigonometric functions.

**Unit-V: Mathematical Reasoning**

**1. Mathematical Reasoning**

- Mathematically acceptable statements.
- Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics.
- Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.

**Unit-VI: Statistics and Probability**

**1. Statistics**

- Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data.
- Analysis of frequency distributions with equal means but different variances.

**2. Probability**

- Random experiments; outcomes, sample spaces (set representation).
- Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes.
- Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

**International Science Olympiad (ISO) Dates and Time Class 1 to 12**

International Science Olympiad (ISO) Dates and Time for Stage 1 | |||||

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Science Olympiad (ISO) | Class 1 to 12 | 26th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Science Olympiad (ISO) | Class 1 to 12 | 27th November 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Science Olympiad (ISO) | Class 1 to 12 | 29th November 2021 | Online/Offline | Monday | 45 min (Attend anytime) |

International Science Olympiad (ISO) | Class 1 to 12 | 30th November 2021 | Online/Offline | Tuesday | 45 min (Attend anytime) |

**International Maths Olympiad (IMO) Dates and Time for Class 1 to 12**

International Maths Olympiad (IMO) Dates and Time for Stage 1 | |||||

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Maths Olympiad (IMO) | Class 1 to 12 | 19th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Maths Olympiad (IMO) | Class 1 to 12 | 20th November 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Maths Olympiad (IMO) | Class 1 to 12 | 4th December 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Maths Olympiad (IMO) | Class 1 to 12 | 11th December 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

**International Artificial Intelligence (AI) Olympiad Dates and Time for Stage 1**

International Artificial Intelligence(AI) Olympiad Dates and Time for Stage 1 | |||||

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Artificial Intelligence Olympiad | Class 5 to 12 | 22nd October 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Artificial Intelligence Olympiad | Class 5 to 12 | 5th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Artificial Intelligence Olympiad | Class 5 to 12 | 12th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Artificial Intelligence Olympiad | Class 5 to 12 | 26th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

**International Coding and Learning Olympiad Dates and Time for Stage 1**

International Coding and Learning Olympiad Dates and Time for Stage 1 | |||||

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Coding and Learning Olympiad | Class 1 to 12 | 16th October 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Coding and Learning Olympiad | Class 1 to 12 | 30th October 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Coding and Learning Olympiad | Class 1 to 12 | 6th Novemebr 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Coding and Learning Olympiad | Class 1 to 12 | 13th December 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

**Learning support from School Connect Online for Olympiad Studies**

International Mathematics Olympiad (IMO) on School Connect Online | ||

1 | Practice Questions | Study Materials |

2 | Chapter wise | Reading Notes |

3 | Mock Tests | Free Videos |

4 | Maths Reasoning | Learning Platform |

5 | Achievers Practice questions | Performance Update |

6 | Sample Papers | Competition Update |

## Important Links

Maths Olympiad **Questions For** Class 11 **Pdf**

Maths Olympiad Class 11 **Registration**

**International Mathematical Olympiad Syllabus**

Olympiad **Books for** Class 11 **Pdf Free Download**

**How to Prepare For Olympiad Class 11**

Maths Olympiad **for** Class 11 **Date**

**Coding Olympiad**

Class | Syllabus | Class | Syllabus |

Class 1 | Coding Syllabus Class 1 | Class 7 | Coding Syllabus Class 7 |

Class 2 | Coding Syllabus Class 2 | Class 8 | Coding Syllabus Class 8 |

Class 3 | Coding Syllabus Class 3 | Class 9 | Coding Syllabus Class 9 |

Class 4 | Coding Syllabus Class 4 | Class 10 | Coding Syllabus Class 10 |

Class 5 | Coding Syllabus Class 5 | Class 11 | Coding Syllabus Class 11 |

Class 6 | Coding Syllabus Class 6 | Class 12 | Coding Syllabus Class 12 |