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

- binomial coefficient - The Binomial Theorem - Using a Calculator to Compute the Coefficients of a binomial expansion - Expand the binomial using Pascal’s Triangle to compute the binomial coefficients

- 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

- 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

- 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

- 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

- 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

- Law of Sines - Solving a triangle given 2 angles and a side - The Ambiguous Case (two sides and an angle opposite one of them) - State whether given measurements determine zero, one, or two triangles

- 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

- 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

- construct a sinusoid given the amplitude and period that goes through a given point - state the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation - constructing a sinusoidal model using time (tide) - applications involving sine and cosine functions

- Memorizing the unit circle - Counting in radians on the unit circle - Coterminal angles - Finding trigonometric functions of any angle - Evaluating Trig Functions Determined by a Point - Evaluating trig functions on the unit circle

- 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 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

- 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