Course Overview

Course Synopsis

This course contents are: Sets, Real Numbers , Complex Numbers, Functions, Quadratic Functions, Matrices, Inverse of a Matrix, Determinants, Arithmetic Progression and Arithmetic Series, Geometric progression and Geometric Series, Permutations and Combinations, Binomial theorem, Graphs and Functions, Straight Lines and Circles, Trigonometry, Statistics Introduction, Introduction to data, Frequency Distributions, Graphical representation of data, Measures Of Central Tendency, Range, inter quartile deviation mean deviation, Moments, Skewness and kurtosis.

Course Learning Outcomes

By the end of the course, students should be able to learn:
 Define sets, representation of sets, operations on sets.
 Natural Numbers, Integers, Rational Numbers, Irrational Numbers, Real Numbers. Properties of Real Numbers
 Need for complex numbers, definition of complex numbers, properties of complex numbers
 Definition of a function, types of functions, domain and range of a function, composition of functions, inverse functions
 Solution of quadratic equations, completing the square and quadratic formula, nature of the roots, equations reducible to quadratic equations
 Definition of a matrix, types of matrices, operations on matrices,Inverses, solving systems of equations using inverses,Definition of determinants, cofactors, evaluation of second and third order determinants, properties of determinants, Cramer’s Rule
 sequences. Arithmetic sequences, common difference and nth term. Sum of an arithmetic series. Applications, Geometric sequences, common ratio and nth term. Finite sum of a geometric series. Sum of an infinite geometric series. Applications
 Factorial notation. Permutations. Combinations. Applications.
 Binomial forms. Binomial theorem and the binomial formula.
 Basic concepts. Cartesian Coordinates. Use of symmetry, Distance formula ,Equation of a straight line, slopes and intercepts. Graphs of straight lines. Equation of a circle.,
 Radians and Degrees. Basic trigonometric functions – sine, cosine, tangent, secant, cosecant and cotangent  and their graphs. Inverse trigonometric functions. Solving trigonometric equations. Addition formulas. Double Angle formulas, trigonometric identities.Addition formulas. Double Angle formulas, trigonometric identities.
 Definition of statistics. Descriptive and Inferential statistics. Population and Sample. Limitations of statistics, Meaning of data. Types of data. Summation notation. Quantitative and qualitative data. Discrete and Continuous data. Types of intervals, Types of frequency distributions. Class intervals, class boundaries, class midpoints, frequencies, relative frequencies, Bar charts, histograms, frequency polygons, cumulative frequency polygon. Symmetry and skewness. Percentile, deciles and quartiles

Course Calendar

Sets and Numbering Systems  1  Handouts  15  Sets and Numbering Systems  2  Handouts  15  Sets and Numbering Systems  3  Handouts  15  Function and Quadratics  4  Handouts  612  Function and Quadratics  5  Handouts  612  Function and Quadratics  6  Handouts  612  Function and Quadratics  7  Handouts  612  Matrices and Determinants  8  Handouts  1321  Matrices and Determinants  9  Handouts  1321  Matrices and Determinants  10  Handouts  1321  Matrices and Determinants  11  Handouts  1321  Matrices and Determinants  12  Handouts  1321  Sequence and Series  13  Handouts  2223  Sequence and Series  14  Handouts  2223  Sequence and Series  15  Handouts  2223  Review of Sets  16  Handouts  15  Review of Functions  17  Handouts  612  Review of Matrices  18  Handouts  1321  Permutations  19  Handouts  2425  Combinations  20  Handouts  2425  Binomial theorem  21  Handouts  2627  Coordinate Geometry  22  Handouts  2830  Coordinate Geometry  23  Handouts  2830  Coordinate Geometry and Trigonometry  24  Handouts  2830  Trigonometry  25  Handouts  3142  Trigonometry  26  Handouts  3142  Trigonometry  27  Handouts  3142  Trigonometry  28  Handouts  3142  Trigonometry  29  Handouts  3142  Trigonometry  30  Handouts  3142  Review of Sequence and Series  31  Handouts  2223  Review of Permutation and Combination, Binomial Theorem  32  Handouts  2425  Review of Binomial Theorem, Coordinate Geometry  33  Handouts  2627  Review of Coordinate Geometry, Trigonometry  34  Handouts  2830  Statistics  35  Handouts  4346  Statistics  36  Handouts  4346  Representation of Data  37  Handouts  4751  Measures of Central Tendency  38  Handouts  5255  Measures of Central Tendency  39  Handouts  5255  Measures of Central Tendency and Measures of Dispersion  40  Handouts  5662  Measures of Dispersion  41  Handouts  5662  Measures of Dispersion  42  Handouts  5662  Skewness and Kurtosis  43  Handouts  6367  Skewness and Kurtosis  44  Handouts  6367  Probability Concepts  45  Handouts  6869 



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