The MP Board Class 11th Maths Syllabus is an important document, same as any question papers or other class textbooks. Subject specialists create it based on the topics covered during the academic year and its sub-sections. The MP Board Syllabus for Class 11 Math will give everyone from the parent to the student and teacher, a complete overview of the subject with the topics and sub-topics. This will help the students to know better if they need to prepare ahead for any particular area of Class 11 MP Board maths. The topics covered under the MP State Board Class 11 Syllabus for the mathematics include topics ranging from the sets, functions, algebra to geometry, calculus, mathematical reasoning and even statistics and probability. These main topics also further divided into different sub-topics. This syllabus helps a student and teacher to be on the same page as to what is covered in a subject during the year, thus acting more as an mp board class guide for 11th standard.
Is Madhya Pradesh State Board Class 11th Math Syllabus important?
Obviously, yes! It will tell the students where they stand in any particular area of mathematics. Do they find one area more difficult than the other? How well do they know their Calculus or Algebra? Are they able to gauge where they stand on a particular area of Class 11 Mathematics?
All these questions and more will be answered to the students when they download the state board syllabus 2019 of Class 11 in MP. How? Because then they will get complete details of all the mathematical concepts and formulas that are covered in Class 11. Since the MP State Board Class 11 syllabus is a continuation of the concepts developed from earlier classes, it will help the students to know how to plan well so that they ace their exams.
For more details about the Class 11 Syllabus, pay a visit to our website. We give a complete overview here on how the syllabus of Class 11 would be like:
Sets and their representations Empty set. Finite and Infinite sets [taloa] sets. Subsets of the set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets Difference of sets Complement of a set.
1.2 Relations and Functions
Ordered pairs, the Cartesian product of sets. A number of elements in the cartesian product of Rio finite sets. Cartesian product of the teals with itself (up to R x R x R). Definition of relation, pictorial diagrams. domain, co-domain and range of a relation. [‘function as a special kind of relation from one set to another Pictorial representation of a function, domain, co-domain and range of a function. The real-valued function of the real variable. domain and range of these functions, constant, identity, polynomial, rational, module% Sign= and greatest integer functions with their graphs. Sum, difference., product and quotients of functions.
positive and negative angles. Measuring angles in radians and in degrees and conversion from One measure to another. Definition of trigonometric functions with the help of the unit circle. The truth of the identity. for all x signs of the trigonometric functions and sketch of their graphs. Expressing . Deducing the identities like the following:
| 2. Algebra
2.1. The principle of Mathematical Induction
Processes of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of the real numbers. The principle of mathematical induction and simple applications.
2. 2 Complex Numbers and Quadratic Equations
Need for complex numbers. especially to be motivated by an inability to solve every quadratic equation. A brief description of the algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, a solution of quadratic equations in the complex number system.
2. 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. The solution of a system of linear inequalities in two variables – graphically.
2. 4. Permutations and Combinations
The fundamental principle of counting. Factorial n Permutations and combinations, derivation of formulae and their connections, simple applications.
2. 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.
2.6. Sequence and Series
|Unit 3: Coordinate Geometry
3.1. Straight Lines
A brief recall of 2D from earlier classes. The slope of a line and angle between two lines. Various forms of equations of a line: parallel to axes, point-slope form, slope intercept form, two-point form, intercepts torn) and normal form. General equation of a line. Distance of a point from a line.
3. 2. Conic Sections
Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and 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.
3.3 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 4: Calculus
Limits and Derivatives
Derivative introduced as the rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to a slope of the tangent of the curve, a derivative of the sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions
|Unit 5: Mathematical Reasoning
Mathematically acceptable statements. Connecting words/phrases — consolidating that understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through a variety of examples related to real life and Mathematics Validating the statements involving the connecting words — difference between contradiction, converse and contrapositive.
|Unit 6: Statistics and Probability
A measure of dispersion; mean deviation, variance and standard deviation of ungrouped grouped data. Analysis of frequency distributions with equal means bur different variances.
Random experiments: Outcomes, sample spaces (set representation). Events: Occurrence of events, `not’, `and’ & ‘or’ events, exhaustive events, mutually exclusive events. Axiomatic (sec theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of `not’, `and’ & ‘or’ events.
1. infinite Series
Binomial theorem for am’ index, infinite geometric series, exponential and logarithmic series.
2. Mathematical Modelling
Consolidating the understanding, developed up to Class X. Focus on modelling problems related to real-life (like environment crave?, etc.) and connecting with other subjects of study where many constraints may really need to be ignored, formulating the model, looking for solutions, interpreting them in the problem situation and evaluating the model.
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