Course Overview
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Course Synopsis
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This course provides a comprehensive introduction to fundamental concepts in both mathematics and statistics essential for understanding and solving realworld problems. Students will explore key mathematical topics such as sets numbering systems functions and quadratics providing a solid foundation for advanced studies in mathematics. The course will also cover important algebraic structures like matrices and determinants equipping students with the tools to solve linear systems of equations and work with sequences and series.rnrnIn addition to mathematics the course delves into essential statistical concepts. Students will learn how to collect classify and analyze data applying measures of central tendency such as the mean median and mode as well as measures of dispersion like variance and standard deviation. Understanding probability theory will enable students to model uncertainty and make predictions while hypothesis testing will allow them to draw meaningful conclusions from data.rnrnThe course emphasizes both theoretical knowledge and practical application enabling students to use mathematical and statistical tools to solve complex problems in various fields. By the end of the course students will have gained a thorough understanding of key concepts in mathematics and statistics preparing them for more specialized courses or professional applications in data analysis science engineering economics and beyond.
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Course Learning Outcomes
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The objective of the course are
- to understand fundamental mathematical concepts like sets numbering systems functions and quadratics to solving basic mathematical problems.
- to apply matrices determinants sequences and series to solving linear systems and progressionrelated problems.
- to apply permutations combinations and trigonometry in realworld and theoretical problemsolving.
- to understand statistical concepts like data collection measures of central tendency and dispersion to analyzing and interpreting statistical data.
- to apply probability theory hypothesis testing and regression analysis for conducting statistical inferences and decisionmaking.
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Course Calendar
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1
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Sets and Numbering Systems-1
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2
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Sets and Numbering Systems-2
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3
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Sets and Numbering Systems-3
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4
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Function and Quadratics-1
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5
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Function and Quadratics-2
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6
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Function and Quadratics-3
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7
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Function and Quadratics-4
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8
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Matrices and Determinants-1
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9
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Matrices and Determinants-2
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Assignment no.1
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10
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Sequence and Series -1
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11
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Sequence and Series -2
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12
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Sequence and Series -3
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Quiz 1
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18
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Coordinate Geometry and Trigonometry
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Quiz 2
Mid Term
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23
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Definition of Statistics
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26
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Types of frequency Curves
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Assignment no.2
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27
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Introduction to Measures of Central Tendency
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28
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Geometric mean,Harmonic mean & relationship between them
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29
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Measures of Dispersion
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30
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Mean Deviation,Standard Deviation and Variance & Coefficient of variation
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32
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Simple Linear Regression
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33
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Basic Probability Theory
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34
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Definitions of Probability
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Quiz 3
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36
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Sampling Distribution ,Central Limit Theorem
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37
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Sampling Distributions
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39
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Hypothesis Testing Regarding p1-p2 & The Student’s t-distribution
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40
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Tests and Confidence Intervals based on the t-distribution
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Quiz 4
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41
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Hypothesis-Testing regarding Two Population Means & The Chi-square Distribution
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42
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The F-Distribution & Hypothesis Testing and Interval Estimation
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43
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Analysis of Variance & Experimental Design
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44
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Randomized Complete Block Design ,(LSD) Test & Chi-Square Test of Goodness of Fit
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45
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Chi-Square Test, p-value
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Final Term
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