**CATEGORY:**Open courses

# Open Tier 4

**Course Access:**Lifetime

Tier 4. This course uses notes and George F. Simmons’ wonderful book, *Precalculus Mathematics in a Nutshell*, and delves further into geometry, algebra, and trigonometry. The geometry section covers triangles, polygons, circles, angles, cylinders, cones, and spheres. The algebra section conducts a review of Tier 3, then covers functions, graphs, polynomials, exponential functions, logarithms, analytic geometry, and the conic sections, circles, parabolas, ellipses, and hyperbolas, infinite series and much more. The trigonometry section covers trig functions and their graphs, frequency and phase, identities and their proofs, inverse trig functions, and the Laws of Sines and Cosines. Complex Numbers are now treated properly in the appropriate modern mode where Euler’s Equation is the center piece of their development and geometric explanation. For example, i^{i} = e^{-Pi/2} will be very easy to understand. The modern tool Wolfram Alpha is introduced early in Tier 4 and revolutionizes the way most Algebra and Trigonometry problems are solved. This serves as a great preparation for Calculus where Wolfram Alpha truly revolutionizes how Calculus problems are solved.