You will be expected to demonstrate mastery of these learning objectives which meet the Math Department Wide Learning Expectations (DLE): • Use Right Triangle Trigonometry, Law of Sines and Cosines to solve real world problems. Examples are the height of a mountain, the width of a river, the earth distance between two cities along the same latitude, or the bonding angle between three carbon elements of a diamond gem. (DLE 1, 2, 4) • Understand the properties of circular functions and sketch their graphs as defined in Analytic Trigonometry. (DLE 1, 2, 4) • Model periodic phenomena in the real world with a sinusoidal function of the form: y = d + a Sin b (x – c). (DLE 1, 2, 4) • Prove the basic trigonometric identities by definitions of trig functions, derive the more advanced identities, and able to make logical connections among these identities. (DLE 2) • Use the algebraic definition of absolute value and solve non-linear inequalities algebraically and graphically. (DLE 1, 2, 4) • Know the properties of odd/even functions, the algebra and composition of functions, and inverse functions. (DLE 1, 2, 4) • Review the properties of polynomial, rational, exponential, and logarithmic functions. (DLE 1, 2, 4) • Describe the attributes of conic sections and understand the reflective properties of ellipse and parabola. (DLE 1, 2, 4) • Use modern technology such as graphic calculator to understand precalculus concepts, to solve problems, and to connect graphs to functions; use spreadsheet to process data and word processor to write your Precalculus Portfolio. (DLE 6)