Mathematics MTH001 Elementary Mathematics MTH100 General Mathematics MTH101 Calculus And Analytical Geometry MTH201 Multivariable Calculus MTH202 Discrete Mathematics MTH301 Calculus II MTH302 Business Mathematics & Statistics MTH303 Mathematical Methods MTH401 Differential Equations MTH501 Linear Algebra MTH601 Operations Research MTH603 Numerical Analysis
 MTH100 - General Mathematics Course Page Mcqs Q & A Video Downloads Course Category: Mathematics Course Level: Credit Hours: 3 Pre-requisites:

# 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 Instructor Dr. Naveed S. Bari Ph.D Dartmouth College USA Javascript is disable - Webestools - Vote Service (notation module) Books Book Title: Mathematics (Algebra and Trigonometry), Statistics Author: i) Mathematics ii) Statistics of FSc Part 1 or HSSC-I Edition: 2011 Publisher: Educational Board of any City URL: http://mathcity.org/fsc/fsc_part_1_solutions