Precalculus

Assignments:

• Begin Unit 8: Vectors
• Read §6.1-6.2
• §6.1 Exercises

Learning Objectives:

• Identify complex powers and roots using rotations in the complex coordinate system.

Assignments:

• Read §6.2. 6.6
• §6.2 Exercises
• §6.6 Exercises

Learning Objectives:

• Use DeMoivre's Theorem to identify the powers and roots of complex numbers.

Assignments:

• Begin Unit 9: Conic Sections
• Read §8.1-8.2
• §8.1 Exercises
• §8.2 Exercises

Learning Objectives:

• Write equations of parabolas in standard form.
• Identify the vertex, focus, directrix, and eccentricity of parabolas.
• Solve applied problems involving parabolas.
• Write equations of ellipses in standard form.
• Identify the center, vertices, foci, and eccentricity of ellipses.
• Solve applied problems involving ellipses.

Assignments:

• Read §8.3-8.4
• §8.3 Exercises
• §8.4 Exercises

Learning Objectives:

• Write equations of hyperbolas in standard form.
• Identify the center, vertices, foci, and eccentricity of hyperbolas.
• Solve applied problems involving hyperbolas.

Assignments:

• Read §8.5
• §8.5 Exercises

Learning Objectives:

• Eliminate the parameter to convert a parametric equation into a rectangular (Cartesian) equation.
• Show the orientation on the graph of a parametric equation.
• Find multiple parametric equations that represent the same rectangular equation.
• Define a conic in terms of a focus and a directrix.

Assignments:

• Read §8.6
• §8.6 Exercises

Learning Objectives:

• Write equations of rotated conics in standard form using the rotation of axes formulas.
• Identify conics without writing in standard form.

Assignments:

• Semester 2 Final Exam Review

Assignments:

• Semester 2 Final Exam

Assignments:

Learning Objectives:

• Use Gauss-Jordan elimination to write the reduced row echelon form of an augmented matrix.
• Use a graphing calculator to find the reduced row echelon form of an augmented matrix.
• Determine if a system of equations is consistent, inconsistent or dependent.
• Identify the partial fraction decomposition of rational functions with distinct linear factors, repeated linear factors, and irreducible quadratic factors in the denominator.
• Calculate the determinant of an n by n matrix up to order 4.
• Use Cramer's Rule to solve a system of equations.
• Write sequences from the general term.
• Use recursive formulas to define a sequence.
• Find the partial sum of arithmetic series.
• Find the partial sum of geometric series.
• Find the sum of infinite geometric series.