Math 1B Prerequisites.pdf - Skills from previous math classes that you need to self-review for Math 1B From Algebra Quadratic functions Graphing

Skills from previous math classes that you need to self-review for Math 1B From Algebra: Quadratic functions Graphing Factoring Quadratic formula Discriminant & its uses (roots, intercepts, factoring into reals, factoring into rationals) Completing the square Negative and fractional exponents Graphs of systems of inequalities Rational expressions Add / subtract Polynomial long division From Geometry: Areas Triangles / parallelograms / trapezoids / circles / sectors Similarity From Trigonometry: Sine / cosine / tangent of special angles on unit circle Inverse sine / cosine / tangent of special values Pythagorean / reciprocal / quotient / negative angle / co-function identities Double angle / sum & difference of angles identities From Precalculus: Graphs of basic functions (domain, range, intercepts, asymptotes, long run behavior) Power n x y = ( n could be positive or negative, even or odd or reciprocal of integer) Exponential x b y = ( b could be greater than or less than 1) Logarithmic x y b log = ( b could be greater than or less than 1) Trigonometric x y sin = , x y cos = , x y tan = , x y csc = , x y sec = or x y cot = Inverse trigonometric x y 1 sin − = , x y 1 cos − = or x y 1 tan − = Graphs of basic conics Circles / ellipses / parabolas Single step transformations of functions & graphs (relationship between algebraic & graphical transformations) Horizontal / vertical Shift / reflect / stretch & compress Symmetry of functions & graphs (relationship between algebraic & graphical symmetry) Even / odd Sigma notation for series