|Objective:||To provide students with a basic understanding of algebra and trigonometry.|
|Student Learning Time:||160 hours|
Final Examination: 50%
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.
Algebraic properties of complex numbers. Polar form of complex numbers. The complex plane and De Moivre's Theorem.
Arithmetic operations on vectors. Dot product and cross product of two vectors
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.
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.
At the completion of the subject, students should be able to: