MAT 411, MAT 421 (honors)
text: Precalculus: Graphical, Numerical and Algebraic, Demana, Waits, et al 978-0-1331320-14
Functions
properties: domain and range, continuity, increasing and decreasing, extrema, symmetry, asymptotes, limits at extrema
building functions: operations, composition, inverse
graphing transformations
modeling: scatter plots, regression with technology
Polynomial Functions
higher degree polynomial functions: finding zeros, complex numbers
Rational Functions
graphing: domain and range, intercepts, asymptotes, removable discontinuities, limits at extrema
solving equations and inequalities
Exponential, Logarithmic and Logistic Functions
properties
graphing: domain and range, intercepts, asymptotes
modeling
Trigonometric Functions
degree and radian measure
graphs: amplitude, period, phase shift, vertical shift
inverses: domain restrictions, graphs, use of technology
modeling
Analytic Trigonometry
identities, Law of Sines and Cosines
solving trig equations
Probability and Statistics
mean, median, mode
five number summary
probability events
Sequences and Series
arithmetic and geometric, including infinite
sigma notation
modeling
Parametric Equations and Projectile Motion (MAT 421)
projectile and circular motion
Vectors, Polar Equations (MAT 421)
vectors in the plane
polar coordinates and graphing by hand and with technology
modeling
Conics (if time allows)
circles, parabolas, ellipses and hyperbolas
graphing by hand, translations, modeling
Discrete Mathematics
factorial expressions, combinations and permutations, binomial theorem
proof by induction (honors, MAT 421)
modeling
Algorithms and Programming