Unit-IV: Calculus + Unit-V: Mathematical Reasoning
Unit-IV: Calculus
1. Limits and Derivatives
- 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
Handwritten Notes- Limits&Continuity.pdf
Differentiation&itsApplications.pdf
Rapid Revision Notes-Rapid-LimitsContinuity&Differentiability.pdf
Unit-V: Mathematical Reasoning
Chapter 1: Mathematical Reasoning
- Ø Mathematically acceptable statements
- Ø 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
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