Math Hammy

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

- solve a Trigonometric Function Algebraically - solve trigonometric functions for a given interval - calculator errors

- Pythagorean Identities - Reciprocal identities - Quotient identities - Use identities to simplify expressions - Co-function identities - Odd-even identities - Simplify expressions by factoring and using identities - Simplify expressions by expanding and using identities - Simplify expressions by combining fractions and using identities - Solving Trigonometric Equations - Proving identities - Identifying and proving an identity - Setting up difference of squares to prove an identity - More str

- Powers of complex numbers in polar form - Roots of complex numbers in polar form - DeMoivre’s Theorem - Roots of Unity

- Use the Product, quotient, and power rules for logarithms to rewrite logarithmic expression as a single logarithm and vice versa - Change of base formula for logarithms - Write expression using only common and natural logarithms - Identify transformation and Graphing logarithmic functions - Matching logarithmic functions to their graphs - Applications of logarithmic functions - One-to-one properties - Solving exponential equations algebraically - Solving logarithmic, natural log, and equations

- Identifying Exponential functions - Computing exponential function values - Find an Exponential Function from its Table of Values or from its Graph - Exponential functions and the base e - describe Transformations and graph Exponential Functions - exponential growth and decay - logistic growth functions - Population Growth Application problems - Solving Exponential Functions - Exponential population model - Finding grown and decay rates - Determine exponential function from data - Half life -

- Velocity - Component form of a velocity vector - Writing a vector whose magnitude and direction are given - Finding resultant force - Using vectors to find speed and direction - Calculating effect of wind velocity and gravity

- 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

- 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

- Graphing parametric equations on a graphing calculator - Graphing parametric equations by hand - Eliminate the parameter and identify the graph of the parametric curve - Eliminate the parameter to obtain the rectangular equation for the curve and Plot the points to graph the curve

- 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

- use the Rational Zeros Theorem to solve Polynomial Equations - Use the graph to guess possible linear factors of f(x). Then completely factor f(x) - write a polynomial equation given it’s zero’s an leading coefficient - write a polynomial equation given a table of values - upper and lower bound tests

Distance formula Finding equations of circles in standard form Graphing circles Using completing the square to write an equation for a circle 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 Ellipses with center at (0, 0) Use the center, vertices, foci, semi major and minor axes,

- 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

- 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 parametric equations on a graphing calculator - Graphing parametric equations by hand - Eliminate the parameter and identify the graph of the parametric curve - Eliminate the parameter to obtain the rectangular equation for the curve and Plot the points to graph the curve - Finding Parametric Equations for a line or line segment - Finding Parametric Equations for a circle - Applications involving parametric equations - Plotting Points in the Polar Coordinate System - Multiple represe

- 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