MATH 124 - Precalc Pt.2: Trig/Adv.Algebra

Number of Credits: 3
Precalculus Part 2, Trigonometry and Advanced Algebra, is the second course in a two-course sequence. It is an intensive study of trigonometry, systems of equations, conic sections, parametric equations, and polar coordinates. This course is intended for future mathematics and science majors. Topics include analysis of trigonometric and inverse trigonometric functions and their graphs, trigonometric identities, trigonometric equations, use of trigonometric formulas in evaluating trigonometric expressions and in solving trigonometric equations, vectors in the plane, the trigonometric form of a complex number and DeMoivre’s Theorem, linear and nonlinear systems of equations, solutions of multivariable linear systems by the use of matrices and Gaussian elimination, conic sections, parametric equations, polar coordinates, and polar equations. Problems will be solved through analytic, numerical, and graphical approaches with an emphasis on setting up and solving relevant application problems. Students who need to take MATH-135, Calculus of a Single Variable 1, need to complete both MATH-123 and MATH-124 in a year-long sequence or the rigorous one-semester MATH-130 course. Prerequisite: eligibility for ENGL-101, plus completion of MATH-123 with a C grade or better. A graphing calculator is required. Credit cannot be earned in both MATH-124 and MATH-130.

(Fall, Spring and Summer) Three hours lecture. Three Credits. Three billable hours.

Pre-requisite(s): eligibility for ENGL 101 , plus completion of MATH 123 with a minimum grade of C or better.
Course Objectives: Upon successful completion of this course, students will be able to:

Evaluate, graph, and identify the domain, range and intercepts of inverse trigonometric functions.
Evaluate a composition of trigonometric and inverse trigonometric functions.
Prove trigonometric identities.
Solve trigonometric equations.
Use sum, difference, multiple-angle, half-angle, power-reducing, product-to-sum, and sum-to-product formulas to evaluate trigonometric expressions and to solve trigonometric equations.
Apply the Law of Sines and the Law of Cosines to solve oblique triangles.
Use vector components and properties of vector addition and of scalar multiplication to solve problems.
Perform operations with complex numbers in trigonometric form, including the application of DeMoivre’s Theorem.
Solve multivariable linear and non-linear systems of equations, including the use of matrices to perform Gaussian elimination.
Find standard equations of circles, parabolas, ellipses, and hyperbolas, analyze the relationships between the equations of the conics and their graphs, and solve application problems involving conic sections.
Graph parametric equations and convert between parametric and rectangular form, and solve application problems using parametric equations.
Analyze the graphs of polar equations and convert between polar and rectangular equations.