| HPC 2019 | |
| Semester B | |
| Unit 3 Topic 3 | Prove trig identities with double angle |
| Solving trig equations with double angle identities |
| Proof of Law of Sines and solving trianlgeLinks to an external site. |
| Law of Sines Ambiguous Case (ASS) |
| Prove the Law of Consine |
| Solve triangles using the law of cosines |
| triangle application problems |
| Area of non right triangle |
| Heron's formula |
| |
| Unit 4 Topic 1: Vectors | Vector: Component form and Magnitude |
| Add Vectors graphically and algebraically |
| Unit Vector |
| Standard unit vectors |
| Direction angle of vector |
| Heading and Bearing |
| Word Problem to find a Component form of a vector |
| Word Problem with adding two Vectors |
| Angle between two vectors |
| vector word problem with air plane and wind #2 |
| Vector application with two force acting on object |
| |
| Unit 4 Topic 2: Parametrics | Graph Parametric Equation |
| Eliminate Parameter (rectangular form)Links to an external site. |
| Vector equation |
| Convert from Rectangular form to Parametric form: Parabola, E |
| Convert from Parametric form to Rectangular Form: Circle and |
| Projectile motion with parametric equation |
| Convert Rectangular equations to Polar equationsLinks to an external site. |
| |
| Unit 4 Topic 3: Polars | Polar Coordinate System. How do Plot and Graph in Polar coordi |
| 4 Different ways to name one point in Polar Coordinates.Links to an external site. |
| |
| Convert Polar Equations to Rectangular Equations |
| Trace Trig graph to Polar graph |
| Characteristics and Equations of Limacons and circlesLinks to an external site. |
| |
| Write equations of polar graphs: Limacon(Cardiod, Convex), Rose, Lem |
| Graph Polar equations using Graphing CalculatorLinks to an external site. |
| Symmetry of Polar Equations by proving algebraicallyLinks to an external site. |
| Key features of Polar graphLinks to an external site. |
| Solve System of Polar Equations: Solutions, and Common points |
| Convert Rectangular Complex numbers to Trigonometric/Polar Links to an external site. |
| Convert Trigonometric/Polar Complex numbers to to Rectangular FormLinks to an external site. |
| Convert 5, Rectangular to Polar form and Polar to Rectangular formLinks to an external site. |
| Multiply and Divide Complex Numbers in Polar formLinks to an external site. |
| DeMoivre's Theorem: Powers of Complex Numbers in Polar FormLinks to an external site. |
| find n th roots of Complex numbers in Polar formLinks to an external site. |
| |
| Unit 5: Matrix | Order of Matrix and add, subtract, and scalar multiplyLinks to an external site. |
| Matrix: Multiply 2x2 MatricesLinks to an external site. |
| Identity matrix and proving inverse matricesLinks to an external site. |
| Find Determinant and inverse of 2x2 Matrix Links to an external site. |
| Matrix: Solve system of equations: 2x2 matrix by Hand and Cal |
| Matrix Using Graphing CalculatorsLinks to an external site. |
| Matrix: Solve system of equations using 3x3 matrix by Calculato |
| Transformation of a Square using Complex Numbers (Explor |
| Matrix Transformations: Hunt for better notationLinks to an external site. |
| Matrix Transformations: Dilation and RotationLinks to an external site. |
| Matrix: Describe Transformation Rules of x and y |
| Matrix Transformation: Area of image =Determinant |
| Solving System of Equations 2x2 by Elimination Method |
| Solving System of Equations 3x3 by EliminationLinks to an external site. |
| Solving System of Equations 3x3 by Elimination Method #2 |
| Solving System of Equations 3x3 by Matrix on Calculator |
| Solving System of Equations 3x3 by Elimination Method #3 |
| Equation of Polynomial with given points by Solving System of EquationsLinks to an external site. |
| Partial Fraction Decomposition to 2 fractions |
| Partial Fraction Decomposition to 3 fractions |
| |
| Basic Counting Principle |
| Permutation |
| Distinguishable Permutation |
| Combination |
| Binomial theorem with Pascal's Triangle |
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