初級微積分 - 第 2 部分（第 2 學期）

TEACHING and LEARNING
My style of teaching is a Blended Model which includes differentiated instruction that meets the needs of all students, interactive learning, student driven problem solving, and demonstration techniques. Students will be responsible for weekly lessons and exit quizzes of 2-4 lessons per week.  

COURSE DESCRIPTION
Pre-Calculus intertwines together previous study of algebra, geometry, and mathematical functions into a preparatory course for calculus. The course focuses on mastery of critical skills and exposure to new skills necessary for success in successive math courses. Throughout the course, Common Core standards are taught and reinforced as the student learns how to apply the concepts in real life situations. Topics include fundamental concepts of Algebra, functions and graphs, polynomials and rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, topics in trigonometry, systems of equations and inequalities, matrices and determinants, conic sections and analytic geometry, sequences, induction, probability, and an introduction to Calculus. Pre-Calculus Part I includes five lesson tests and a midterm written exam that requires the student to demonstrate understanding by showing work.

Week 1 - Verifying Trigonometric Identities
Week 2 - Multiple Angle and Product to Sum Identities
Week 3 - Multivariable Linear Systems and Row Operations
Week 4 - Solving Systems Using Cramer's Rule
Week 5 - Linear Optimization
Week 6 - Parabolas, Ellipses, and Circles
Week 7 - Hyperbolas, Rotations and Parametric Equations
Week 8 - Introduction to Vectors
Week 9 - Dot Products and Vectors
Week 10 - Polar Coordinates and Graphs
Week 11 - Polar and Rectangular Forms of Equations
Week 12 - Complex Numbers and Demoivre's Theorem
Week 13 - Polar Equations Review
Week 14 - Estimating Limits Graphically and Algebraically
Week 15 - Tangent Lines and Velocity
Week 16 - Derivatives
Week 17 - Area Under the Curve
Week 18 - Final Semester 1 Exam Review

COURSE SYNOPSIS – Semester 2

GRADE WEIGHT
•	Attendance:  5%
•	Assignments:  10%
•	Exit Quizzes:  30%
•	Tests:  55% 
FINAL GRADE
•	Semester Grade: 80%
•	Final Exam: 20%