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• (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. 5.
•  (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.
• Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems
• (+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v). 
• (+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. 
• (+) Solve problems involving velocity and other quantities that can be represented by vectors.
• (+) Add and subtract vectors. 
  • a. Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. 
  • b. Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. 
  • c. 5. Understand vector subtraction v– w as v + (–w), where–w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.
•  (+) Multiply a vector by a scalar. 
  • a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx , vy ) = (cvx , cvy ). 
  • b. Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).
• (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled. 
• (+) Add, subtract, and multiply matrices of appropriate dimensions. 
• (+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
• Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context
• Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
• Graph the solutions to a linear inequality in two variables as a half plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
• Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

• Vectors
• Conic Sections
• Parametric & Polar Equations
• Systems
• Matrices
• Series & Sequences  Introduction to Calculus

Students will need the following:

• A Chromebook (or similar device) with camera and microphone enabled
• Headphones/Earbuds
• Access to Google Chrome
• Access to web based learning management platform