Courses Code: MTS 101
Course Title: ALGEBRA
Number of unit : 3 UNITS
Office Lecturer: College of Natural Science, Department of Mathematical Science
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