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###### Course Contents

1.1 Real numbers 1.2 Properties of real number 2. Complex numbers 2.1 Operation on complex numbers 2.2 Conjugate or modulus of complex numbers 2.3 Demovier's Theorem 2.3 Demovier's Theorem 3.1 The set descriptive method 3.2 Equal set 3.3 Equivalent sets 3.4 Order of sets 3.5 Finite and infinite sets 3.6 Proper and improper subsets 3.7 Null set, power set, universal set 3.8 Operations on sets 3.8.1 Union 3.8.2 Intersection 3.8.3 Difference of two sets 3.8.4 Complement of set 4.1 Types of functions 4.2 Sets builder notation for a linear function 4.3 Linear and Quadratic function 5.1 Types of matrices 5.2 Determinant 5.3 Adjoint of matrices 5.4 Matrix inverse 5.5 Cramer's rule 6.1 Solution of quadratic equation 6.2 Nature of roots of quadratic equation 6.3 Equation reducible to quadratic equation ( three methods) 6.4 Equation reducible to quadratic equation 7.1 Arithmetic and Geometric series 7.2 Arithmetic and Geometric series 7.3 Harmonic progression 8.1 Factorial 8.2 Permutation 8.3 Combination 9. Binomial Theorem 10.1 Angle, degree, radian etc 10.2 Arc length measurement 10.3 Trigonometric function 10.4 Trigonometric identities 11.1 Graph of straight line 11.2 Circle

###### Course Learning Outcomes

• Once you successfully complete this course you will have a mastery of basic skills and facility in operations involving whole numbers, integers, variables, fractions, decimals, measurement, unit conversions, introductory algebra, inequalities, absolute value equations, proportion and percent, and finally powers and roots. • You will be able to apply these skills to working with formulas and solving problems involving applications and will have the mathematical foundations.

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###### Nature of roots of quadratic equation

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Book Title : Mathematics
Edition : latest
Publisher : Nadeem Law Book House, Lahore
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Title : types of matrix
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Title : permutation
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Title : operation on matrices
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Title : nature of roots of quadratic equation
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Title : matrix inverse
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Title : lec 4
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Title : Factorization
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Title : factorial
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Title : determinant and adjoint of matrix
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Title : operations on sets
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Title : types of sets
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Title : cramers rule
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