Subject Code: PTG0116 Objective: To provide students with a basic understanding of algebra and trigonometry. Pre-Requisite: None Credit Hours: 4 Student Learning Time: 160 hours Assessment: Quizzes/Tests: 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. (Main Reference) 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.

### Course Contents

• Trigonometry
Trigonometric functions: angles and their measure, trigonometric ratios for a general angle; Graphs of trigonometric functions, inverse trigonometric functions; Trigonometric identities and equations. Law of Sines and Cosines.

• Complex Numbers
Algebraic properties of complex numbers. Polar form of complex numbers. The complex plane and De Moivre's Theorem.

• Vector Algebra
Arithmetic operations on vectors. Dot product and cross product of two vectors

• Coordinate Geometry
Rectangular coordinates (in 2-D): equations and graphs of the straight lines, parallel and perpendicular lines; distance and midpoint formulas; circles. Conic sections. Polar coordinates.

• Matrices
Matrix operations: addition, subtraction, scalar multiplication, matrix multiplication. Identity matrix. Transpose of a matrix. Determinant of a square matrix (2x2 and 3x3 matrix only), Cofactor matrix, adjoint matrix and Inverse matrix. Solving systems of linear equations using the inverse matrix and Cramer’s Rule.

### Course Learning Outcomes

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

• CLO1 - Solve problems related to complex numbers and vector algebra. (Cognitive, Level 3)
• CLO2 - Sketch the graph of straight lines and conic sections. (Cognitive, Level 3)
• CLO3 - Solve problems related to trigonometric functions, triangles, polar coordinates and complex plane. (Cognitive, Level 3)
• CLO4 - Solve a system of linear equation using matrices. (Cognitive, Level 3)

### Programme Learning Outcomes

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