Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-301 Real Analysis –I
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MATH-301 Real Analysis –I
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Real Number System Ordered sets, fields, the field of real numbers Completeness property of R The extended real number system Euclidean spaces Finite, countable and uncountable sets Sequences and Series Sequences, subsequences, convergent sequences, Cauchy sequences Monotone and bounded sequences, Bolzano Weierstrass theorem Series, series of non-negative terms Partial sums, the root and ratio tests, integral test, comparison test Absolute and conditional convergence Limit and Continuity The limit of a function Continuous functions Types of discontinuity Uniform continuity Monotone functions Differentiation The derivative of a function Mean value theorems, the continuity of derivatives Taylor’s theorem Functions of Several Variables Partial derivatives and differentiability, derivatives and differentials of composite functions Change in the order of partial derivative, implicit functions, inverse functions, Jacobians Maxima and minima |
| Credit hours/ Marks:- 3 |
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