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MAT 270 is one of the first courses at Arizona State University. It generally covers integration, differentiation, real numbers and topics related to them. But there are few concepts which are difficult than others and relatively tough to understand. The tough parts of MAT 270 are :

1) Limits

In mathematics, a limit is the value a function or sequence a approaches as the index or input approaches some value. Limits are essential to calculus and are used for differentiation, integration many more topics. Since it’s a base to topics mentioned above, it is a very challenging topic and must to learn from students taking engineering as a major.

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2) Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse, differentiation, being the other.

Get your concepts clear since integral is a vast module.Get your doubts cleared. Don’t shy away. Instill some confidence in yourself. Start with basic questions and as you go about solving, your confidence and interest curve will have a steep rise. Yes, this needs a bit more practice. But if you are done with it, you won’t find anything more interesting than integral.

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3) Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus.  To find a derivative is slightly easier than integral. There is a lot to learn in derivative which makes the topic a bit complex.

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4) Fundamental Theorem of Calculus

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function with the concept of integrating a function.

The first part of the theorem, sometimes called the First Fundamental Theorem of Calculus, states that one of the antiderivatives (also called indefinite integral) say F, of some function f, may be obtained as the integral of f with a variable bound of integration. This implies the existence of antiderivatives for continuous functions. Conversely, the second part of the theorem, sometimes called the Second Fundamental Theorem of Calculus, states that the integral of a function f over some interval can be computed by using any one, say F, of its infinitely many antiderivatives. This part of the theorem has key practical applications because explicitly finding the antiderivative of a function by symbolic integration avoids numerical integration to compute integrals.

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The concepts mentioned above are taught along with other concepts in MAT270. These are slightly more complex and difficult than others. It may take time to understand and apply it in your studies. Overall MAT 270 is not that difficult. You just need to be in touch with the subject and practice it as much as you can.

 


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Raj Kothari


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