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 |
