Subject Code:  PPC0116 
Objective:  This course covers some of the basic topics in Algebra. Topics covered in algebra are equations and inequalities, graphs, functions and types of functions and also sequences and series. There will be expanding binomial terms with integer powers by using Binomial Theorem. In conclusion, students will learn basic concepts in each topic and how to apply respective formulas, sketch some graphs, and also solve the different types of problems. 
PreRequisite:  None 
Credit Hours: 
4 
Student Learning Time:  160 hours 
Assessment:  Tests/Quizzes: 50% Final Examination: 50% 
References: 

Fundamentals of Algebra
Real numbers, polynomials, factoring polynomials, rational expressions,
integer exponents, rational exponents and radicals.
Equations and Inequalities
Equations: linear equations, quadratic equations, radical
equations, polynomial equations. Inequalities: linear, quadratic,
rational and polynomial inequalities. Equations and Inequalities
involving absolute value.
Functions
Functions, domain and range, graphs of
functions and transformations of functions. Types of functions and
their graphs: quadratic functions, polynomial functions, rational
functions. Composite and inverse functions. Exponential and logarithmic
functions and their graphs.
Polynomial Division and Partial Fractions
Dividing
polynomials, synthetic division, remainder theorem and Factor theorem.
Rational root theorem. Partial fraction decomposition: Distinct roots,
repeated roots, nonreal roots (second order polynomial).
Sequences and Series
Introduction to summation (sigma) notation. Sequences and
series. Arithmetic sequences and geometric sequences and series. The
binomial theorem. Pascal’s Triangle. Mathematical induction.
At the completion of the subject, students should be able to: