Math Hammy

- Tangent and cotangent Functions - Graphing tangent and cotangent functions - Secant and cosecant functions - Graphing secant and cosecant functions

- Parallel and orthogonal vectors - Proving vectors are orthogonal, parallel or neither - Finding the Vector projection of one vector onto another - Decomposing a vector into perpendicular components

- Using limit properties - Limits of continuous functions - Finding limits by substitution - Explain why you cannot use substitution to find the limit and then find the limit algebraically if it exists

- Ellipses with center at (0, 0) - Use the center, vertices, foci, semi major and minor axes, and its Pythagorean relation to graph ellipses - Find an equation in standard form for the ellipse that satisfies the given conditions

The parabola 〖(x-h)〗^2=4p(y-k) and 〖(y-k)〗^2=4p(x-h) Vertex, focus, directrix, axis of symmetry, focal width Graphing parabolas Find an equation in standard form for the parabola that satisfies given conditions Application involving equations of parabolas

- Graphing polar equations on the graphing calculator - Converting from rectangular to polar coordinates - Calculator error - Convert rectangular equation in x and y into a polar equation in r and theta - Converting equations from polar form to rectangular form

- Find the equations of parallel lines a function oscillates between: - Sums and differences of sinusoids - Identify a sinusoid - Express the sum of sinusoids as a sinusoid - Showing A function is Periodic but not a Sinusoid

- Using one trigonometric ratio to find the remaining 5 - Memorizing the Unit Circle - Evaluating trig functions for 30, 60, and 45 degree angles - Evaluating Trigonometric Functions using a Calculator

- Graphing rational functions - Identify and graph transformations of rational functions - End behavior, vertical, and horizontal asymptotes - x and y intercepts - evaluating left and right hand limits of a graph of a function

- prove all zero’s lie within a given interval - Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational - Non-linear system of equation (supply = demand)

- Describe transformations of power function then sketch a graph of the power function - Leading coefficient test for polynomial end behavior - Using Limits to describe end behavior - Solving polynomial functions algebraically

- Identifying Polynomial Functions and their degrees - write a LINEAR equation given two ordered pairs - average rate of change - vertex from of a quadratic equation - Matching quadratic equation to their graphs - Graphing a quadratic function in vertex form

- Using a graphing Calculator to determine the domain and range of the function - Analyze a Function (symmetry, boundedness, asymptotes, relation to 12 basic functions etc…) - Graphing piecewise functions and identifying points of discontinuity

- Checking functions for Symmetry Algebraically - Checking functions for Symmetry Graphically - Finding Vertical Asymptotes of a Function - Finding Horizontal Asymptotes of a Function - Determining End Behavior

- Continuity of Functions - Removable and nonremovable discontinuity - Identifying points of discontinuity - Finding Local Maximum and Minimums - Identifying Intervals where function is increasing, decreasing, and constant - Determining Boundedness of a Function

- Match the numerical model to the corresponding graphical model and algebraic model: - Find an algebraic model to represent the data - Solving Equations Algebraically - Solving Equations Graphically

- Hyperbolas with center at (h, k) - Use the center, foci, vertices, semi transverse and conjugate axes, asymptotes, and Pythagorean relation to graph Hyperbolas - Find an equation in standard form for the hyperbola that satisfies the given conditions

- Hyperbolas with center at (0, 0) - Use the center, foci, vertices, semi transverse and conjugate axes, asymptotes, and Pythagorean relation to graph Hyperbolas - Find an equation in standard form for the hyperbola that satisfies the given conditions

- Ellipses with center at (h, k) - Use the center, vertices, foci, semi major and minor axes, and its Pythagorean relation to graph ellipses - Find an equation in standard form for the ellipse that satisfies the given conditions - Application involving ellipse

- Plotting complex numbers in the complex plane - Absolute value of a complex number - Writing complex numbers in polar form - Finding trigonometric forms - Writing complex numbers in rectangular form - Products and quotients of complex numbers in polar form