Precalculus Semester 2: Chapters 8-14 (Flexible Schedule)

This is a flexible schedule class, which means there are no scheduled live meetings. I will upload videos as YouTube links every Monday morning to the Outschool classroom page that students will watch on their own time throughout the week. The pacing is about one chapter of material every two weeks. 

Students will watch the video lessons and complete homework assignments for each chapter. Answer keys and worked solutions will be provided so students can self-check their homework. Chapter tests will be assigned for each chapter that I will grade (with feedback!) and return. Students can message me with questions at any time, and I will answer with a step-by-step video explanation or written explanation as soon as I can! 

Each week, I will start a discussion thread for a chapter on the Outschool classroom page. This thread is meant for students to ask questions about and discuss homework problems with each other and with me. As a way to keep the discussion alive throughout the course, students will be required to post at least 1 comment per discussion thread. This post has to be related to the chapter and can be a question, an answer to someone else's question, or just a comment about something interesting that they learned during that chapter. Participation in discussions will count towards the student's participation grade, which will be 15% of their grade for the course. The other 85% of the grade will come from the 7 tests that the student takes and submits throughout the course. 

I will be running the class through the Outschool classroom page, but students will need access to YouTube to be able to click the video links and watch the lessons. 

The pre-requisites for this course are the completion of pre-algebra, algebra 1, geometry, algebra 2 with trigonometry, and the first semester of pre-calculus. 

Here are the topics we will cover in the class: 
Chapter 8: Applications of Trigonometric Functions
8-1: Right Triangle Trigonometry
8-2: The Law of Sines
8-3: The Law of Cosines
8-4: Area of a Triangle
8-5: Simple Harmonic Motion; Damped Motion

Chapter 9: Polar Coordinates; Vectors
9-1: Polar Coordinates
9-2: Polar Equations and Graphs
9-3: The Complex Plane; De Moivre's Theorem
9-4: Vectors
9-5: The Dot Product
9-6: Vectors in Space
9-7: The Cross Product

Chapter 10: Analytic Geometry
10-1: Conics
10-2: The Parabola
10-3: The Ellipse
10-4: The Hyperbola
10-5: Rotation of Axes; General Form of a Conic
10-6: Polar Equations of Conics
10-7: Plane Curves and Parametric Equations

Chapter 11: 
11-1: Systems of Linear Equations: Substitution and Elimination
11-2: Systems of Linear Equations: Matrices
11-3: Systems of Linear Equations: Determinants
11-4: Matrix Algebra
11-5: Partial Fraction Decomposition
11-6: Systems of Non-Linear Equations
11-7: Systems of Inequalities
11-8: Linear Programming

Chapter 12: Sequences; Induction; The Binomial Theorem
12-1: Sequences
12-2: Arithmetic Sequences
12-3: Geometric Sequences and Series
12-4: Mathematical Induction
12-5: The Binomial Theorem

Chapter 13: Counting and Probability
13-1: Counting
13-2: Permutations and Combinations
13-3: Probability

Chapter 14: A Preview of Calculus: The Limit, Derivative, and Integral of a Function
14-1: Finding Limits Using Tables and Graphs
14-2: Algebra Techniques for Finding Limits
14-3: One-Sided Limits; Continuous Functions
14-4: The Tangent Problem; The Derivative
14-5: The Area Problem; The Integral 

If you haven't taken the first semester of pre-calculus yet, I also offer a "Pre-Calculus Semester 1: Chapters 1-7 (Flexible Schedule)" class. If you'd like to take both classes over one semester, you can sign up for both and just work through the material twice as fast. 

Thank you so much for considering my class! I hope to see you in the classroom!