Unit-IV: Calculus + Unit-V: Mathematical Reasoning

 

     Unit-IV: Calculus

1.  Limits and Derivatives

1.    Derivative introduced as rate of change both as that of distance function and geometrically
2.   Intuitive idea of limit
3.   Limits of:    Polynomials and rational functions,Trigonometric, exponential and logarithmic functions
4.   Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions
5. The derivative of polynomial and trigonometric functions

                       Click on below given links to view/download:  

             Handwritten Notes- Limits&Continuity.pdf

                                                           Differentiation&itsApplications.pdf

             Rapid Revision Notes-Rapid-LimitsContinuity&Differentiability.pdf  

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         Unit-V: Mathematical Reasoning

Chapter 1: Mathematical Reasoning

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

                   

                     Click on below given links to view/download:  

              Handwritten Notes-

             Rapid Revision Notes- Rapid-Mathematical_Reasoning.pdf 

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