MTS 101 Course Synopsis

Courses Code: MTS 101

Course Title: ALGEBRA

 

Number of unit : 3 UNITS

Course Duration:

COURSE DETAILS

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Office Lecturer: College of Natural Science, Department of Mathematical Science

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COURSE SYNOPSIS

Elementary Set Theory:  Set notations, terminologies and operations.  Algebra of sets.  Venn diagrams and applications.  Real Numbers:  Number systems from Natural to Reals.  Operations  on Real Numbers, indices, Logarithms and Surds.  Mathematical induction.   Polynomials and Rational Expressions:  Remainder and Factor Theorems, Partial Fractions.  Inequalities. Equations  in one variable:  Theory of quadratic equations, Cubic equations and equations reducible to quadratic type.  Simple simultaneous equations.  Sequences and Series:  AP and GP. Means, nth term and limits.  Binomial Theorem for any index.  Binomial series. Matrices (m, n, < 3): Notations.  Algebra of matrices Determinants.  Inverse of matrix and solution of linear system of equations.  Complex Numbers:  Algebra of complex numbers.  Argand diagram.  De Moivre’s Theorem, and nth roots of unity.

MTS 101  –  ALGEBRA

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