Learning Outcomes for Class 11 Mathematics Subject in PDF

In this article we providing information regarding latest Learning Outcomes for Class 11 Mathematics Subject in PDF

Learning Outcomes for Class 11 Mathematics Subject in PDF

The learner –

• Develops the idea of set from the earlier learnt concepts in number system, geometry etc.
• Identifies relations between different sets. 
• Relates earlier learnt concept of trigonometric ratios to functions and evolves the idea of trigonometric functions. 
• Demonstrates deductive thinking by using technique of mathematical induction for establishing generalized mathematical statements. 
• Extends the idea of real numbers to a larger system of complex numbers.  Demonstrates strategies for solving systems of linear inequalities. 
• Applies the ideas of permutations and combinations to daily life situations of arranging and grouping the objects. 
• Develops the idea of binomial theorem for a positive integral index from the earlier learnt concepts of finding squares and cubes of binomials.
• Extends the ideas related to arithmetic progressions learnt earlier to new types of sequences and their series.  
• Constructs different forms of a straight line using the earlier learnt concepts of coordinate geometry. 
• Analyses different curves like circles, ellipses, parabolas and hyperbolas based on the ideas developed for straight lines using coordinates. 
• Develops strategies of locating a point in three dimensions based on the concepts of two dimensional coordinate geometry. 
• Evolves the concepts of limit and derivative of a function by analyzing the behaviour of functions when the corresponding variable approaches a certain value.
• Relates deductive reasoning to the mathematical statements studied so far. 
• Applies measures of dispersion to get a better interpretation of data of different daily life situations. 
• Builds up the axiomatic approach to probability through the terms, random experiment, sample space, events etc.
• Identifies different types of relations and functions.  Explores the values of different inverse trigonometric functions.
• Evolves the idea of matrices as a way of representing and simplifying mathematical concepts.  Evaluates determinants of different square matrices using their properties. 
• Demonstrates ways to relate differentiability and continuity of a function with each other.  Develops the processes in integral calculus based on the ideas of differential calculus learnt earlier. 
• Applies the concepts of integral calculus to calculate the areas enclosed by curves.
• Develops the concepts of differential equations using the ideas of differential and integral calculus. 
• Constructs the idea of vectors and their properties and relates them to earlier learnt concepts in different areas of mathematics such as geometry, coordinate geometry etc. 
• Evolves newer concepts in three dimensional geometry from that learnt earlier, in the light of vector algebra, such as, direction cosines, equations of lines and planes under different conditions etc. 
• Formulates and solves problems related to maximization/ minimization of quantities in daily life situations using systems of inequalities/in equations learnt earlier.
• Calculates conditional probability of an event and uses it to evolve baye’s theorem and multiplication rule of probability. 
• Determines mean and variance of a probability distribution using the concept of random variable.

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