Course

Objective:

Learning Outcomes:

• perform operations on real numbers and polynomials
• simplify algebraic, rational, and radical expressions
• solve linear and quadratic equations and inequalities
• solve word problems involving linear and quadratic equations and inequalities
• solve polynomial, rational, and radical equations and applications
• solve and graph linear, quadratic, absolute value, and piecewise-defined functions
• perform operations with functions as well as find composition and inverse functions
• graph quadratic, the square root, cubic, and cube root functions
• graph and find zeros of polynomial functions
• graph quadratic functions by completing the square, using the vertex formula, and using transformations
• solve and graph exponential and logarithmic equations
• express angle measure in degrees or radians
• evaluate and simplify trigonometric expressions
• know the six trigonometric functions and how to evaluate those trigonometric functions using positions on the unit circle with respect to the right triangle
• graph trigonometric and inverse trigonometric functions
• use trigonometric functions to solve a right triangle and apply the law of sines and the law of cosines to solve triangles that are acute or obtuse
• solve systems of linear equations and inequalities
• model and solve applications using linear systems
• evaluate and find partial sums of a series
• evaluate and find sums of an arithmetic sequence and a geometric sequence
• solve application problems involving arithmetic and geometric sequences and series
• define, identify, and graph conic sections including a circle, ellipse, parabola, and hyperbola

General Topics: