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)
