Course Contents
Preliminaries: Real-number line, functions and their graphs, solution of equations involving absolute values, inequalities, binomial theorem and its use. Limits and Continuity: Limit of a function, left-hand and right-hand limits, continuity, continuous functions. Derivatives and their Applications: Differentiable functions, differentiation of polynomial, rational and transcendental functions, derivatives.
Integration and Definite Integrals: Techniques of evaluating indefinite integrals, integration by substitution, integration by parts, change of variables in indefinite integrals. Application and importance of calculus for biotechnology;the exponential growth curve and growth equation
Course Synopsis
This course aims to provide students with the essential concepts of biomathematics and how these can be employed for analyzing real data.
Definite Integral Method
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Some examples of Definite Integrals
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Integration by parts (method)
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Some ways of solving integration by parts
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Definite Integral
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Some examples related to definite Integrals
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Some Questions of Exer 5.4 (Definite Integrals)
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biomath
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biomath2
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biomath3
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biomath4
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biomath5
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biomath6
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book thomas et al
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Real Number and Real Line (part 1)
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Real Number and real Line with some examples (part 2)
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Open and Closed Intervals
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In-equalities and Intervals
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Absolute Values and Intervals
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Limit of the function
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Limit of the function. Exer 2.2
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How to Find One Hand Limit
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Calculating Limit as x approaches to infinity
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Continuity
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Binomial theorem 1:
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Exersice Binomial Theorem
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Binomial theorem 2
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Exer of Binomial theorem
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Rules of Derivations
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Implicit Differentiation
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Chain Rule of differentiation
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Indefinite Integral
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Title : biomaths
Type : Assignment
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