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. Pre-Requisite: None Credit Hours: 4 Student Learning Time: 160 hours Assessment: Tests/Quizzes: 50% Final Examination: 50% References: Sullivan, M., Fadzilah, S., W.W. Goh, C.Y. Heng, Mohd. Daud, H., L.N. Ng, L.P. Tan and C.L. Tay (2011). Algebra & Trigonometry. Pearson Custom Publishing. (Textbook) Beecher, J. A., & Penna, J.A. (2008). Algebra and Trigonometry (3rd Ed). Boston: Pearson Addison- Wesley. Blitzer, R. (2007). Algebra and Trigonometry (3rd Ed). Pearson Education. Davis, L. (2003). Applied College Algebra and Trigonometry (3rd Ed). Prentice Hall. Dugopolski, M. (2007). College Algebra and Trigonometry (4th Ed). Boston: Pearson Addison-Wesley. McKeague, C.P. (2002). Algebra With Trigonometry: For College Students (5th Ed). Brooks/Cole. Sullivan, M. (2008). Algebra and Trigonometry (8th Ed). Pearson Education. Swokowski, E. W., & Cole, J.A. (2002). Algebra and Trigonometry with Analytic Trigonometry (10th Ed). Brooks/Cole.

### Course Contents

• 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, non-real 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.

### Course Learning Outcomes

At the completion of the subject, students should be able to:

• CLO1 - Apply fundamental concepts of algebra and solve problems related to equations and inequalities. (Cognitive, Level 3)
• CLO2 - Sketch the graphs of various functions. (Cognitive, Level 3)
• CLO3 - Solve problems related to arithmetic and geometric progressions and use the binomial theorem to expand a binomial raised to an integer power. (Cognitive, Level 3)
• CLO4 - Perform polynomial division and partial fraction decomposition. (Cognitive, Level 3)

### Programme Learning Outcomes

• PLO1 - To acquire basic knowledge and principles of science and engineering.