Elementary Mathematics I (Algebra and Trigonometry)

At the end of the course students should be able to: 1. explain basic definition of set, subset, union, intersection, complements and use of Venn diagrams; 2. solve quadratic equations; 3. solve trigonometric functions; 4. identify various types of numbers; and 5. solve some problems using binomial theorem.

Elementary set theory, subsets, union, intersection, complements, Venn diagrams. Real numbers; integers, rational and irrational numbers, mathematical induction, real sequences and series, theory of quadratic equations, binomial theorem. Complex numbers; algebra of complex numbers; the Argand diagram. De-Moivre’s theorem, nth roots of unity. Circular measure, trigonometric functions of angles of any magnitude, addition and factor formulae.