## Topics with syllabus and resources

1 Matrices

1.01 Brief Revision of Vectors Over a Real Field

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1.02 Characteristic Polynomial

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2 Vector Calculus

2.01 Brief Revision of Scalar and Vector Point Functions

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2.02 Line Integrals, Surface Integrals, Volume Integrals

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3 Non Linear Programming

3.01 Unconstrained Optimization

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3.02 Problem with Inequality

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4 Probability Distributions

4.01 Discrete and Continuous Random Variables

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4.02 Probability Distributions

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5 Sampling Theory

5.01 Sampling Distribution

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5.02 Test of Significance for Large Samples

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5.03 Studentâ€™S T-distribution

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5.04 Analysis of Variance(F-test)

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5.05 Chi-square Distribution

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6 Correlation and Regression

6.01 Correlation, Co-variance

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6.02 Regression Coefficients

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