Precalculus With Trigonometry
Topics covered in this course include the function concept, polynomial, rational, exponential, logarithmic, rapid review of trigonometric and inverse trigonometric functions, solving equations and systems of equations, curve sketching, complex numbers, coordinate geometry and conic sections. The prevailing theme is applications and graphical solutions.
(A requirement that must be completed before taking this course.)
- MATH 113 or equivalent with a grade of 2.0 or better and
- MATH 119 or equivalent with a grade of 2.0 or better.
- Note: MATH 129 is recommended for engineering, science and math majors.
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.
- Solve systems of equations in two variables geometrically.
- 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.
| ||129||113150||Precalculus with Trig|| ||5||Shields K|| ||21/31/0||Open||