Mathematics - MATH 129

Course Description

Topics covered in this course include the function concept, polynomial, rational, exponential, logarithmic, rapid review of trigonometric and inverse trigonometric functions, solving equations, curve sketching, complex numbers, coordinate geometry and conic sections. The prevailing theme is applications and graphical solutions.

Prerequisites

(A requirement that must be completed before taking this course.)

Course Competencies

Upon successful completion of the course, the student should be able to:

• Graph the elementary functions, including linear, quadratic, cubic, absolute value, square root, cube root and reciprocal functions, without a calculator.
• Apply the standard geometric transformations of stretching, shrinking and translating to the elementary functions.
• Solve algebraically and geometrically, equations and inequalities in one variable of the following types: linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric.
• Construct mathematical models to solve application problems.
• Determine domain and range of a function.
• Determine maximum and minimum values of a function.
• Determine intervals where a function is increasing, decreasing or constant.
• Determine algebraically and geometrically, whether a function is even, odd or neither.
• Determine the asymptotes of a function.
• Explore end behavior of a function geometrically.
• Calculate sum, difference, product and quotient of complex numbers.
• Determine real and complex zeros of a polynomial function.
• Graph exponential and logarithmic functions manually and using the graphing calculator.
• Apply geometric transformations to exponential and logarithmic functions.
• Graph trigonometric functions manually and using the graphing calculator.
• Apply geometric transformations to trigonometric functions.
• Identify conic sections.
• Graph conic sections showing key characteristics.

Course Schedule