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 Contents
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 Related Links
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