Advanced Math Everything nonlinear: function notation, quadratics from every angle, exponents and radicals, exponential growth, rational expressions, transformations, and the nonlinear systems that close out the hard third of the section.
The course — 9 units, in order
01 Introduction to Functions Function notation, domain and range, the vertical line test, and reading graphs qualitatively. Start 02 Polynomials & Factoring Adding, subtracting and multiplying polynomials, the special products, and factoring — GCF, trinomials, and the difference of squares — multiplication run forwards and backwards. Start 03 Quadratic Equations & Functions Parabolas and their anatomy, solving by factoring and square roots, completing the square, the quadratic formula, and the discriminant — the algebra of curved change. Start 04 Quadratic Functions & Parabolas Graphs of y = ax² + bx + c: vertex, axis of symmetry, transformations, and max/min word problems. Start 05 Radicals & Rational Exponents Fractional powers as roots, radical arithmetic without fear, equations that manufacture phantom solutions, and inverse functions — the door logarithms walk through next unit. Start 06 Exponential Functions & Growth y = a·bˣ: growth and decay, compound interest, and how exponentials outrun every line. Start 07 Rational Expressions & Equations Simplifying, multiplying, and adding algebraic fractions; solving rational equations and spotting excluded values. Start 08 Functions & Transformations Function notation as a machine, domain and range, the four graph moves — shift, flip, stretch — plus absolute value and piecewise functions: the visual grammar every later unit speaks. Start 09 Systems & Nonlinear Models Two equations, one answer: linear systems at full speed, three-variable elimination, curves meeting lines, and feasible regions with the corner principle — algebra as negotiation. Start 