Algebra II - Semester I
Description Algebra 2 – Semester I covers a review of basic algebra Lessons, complex numbers, quadratics and conic sections, polynomials, multivariable expressions, sequences and series. In addition to these classes we conduct two exams to make sure students are on track of understanding the concepts and March towards completion of the course. This course is specifically designed to all levels of students with material from many programs and math competitions in around the city/state and country. Our idea is that students develop more by learning to solve problems they haven’t seen before, as opposed to offering repeated drills that students can memorize their way through. In this way, our classes are structured much more like courses at top-tier colleges. |
Class Outline |
Lesson 1: Solving Equations
Lesson 2: Functions Overview
Lesson 3: Complex Numbers
Lesson 4: Quadratics
Lesson 5: Conics – Parabolas
Lesson 6: Conics – Circles, Ellipses
Lesson 7: Conics - Hyperbolas
Lesson 8: Mid-Semester Exam
Lesson 9: Polynomial Division – Remainder and Synthetic Division
Lesson 10: Polynomial Roots – Part 1
Lesson 11: Polynomial Roots – Part 2
Lesson 12: Factoring Multivariable Polynomials
Lesson 13: Arithmetic Sequences and Series
Lesson 14: Geometric Sequences and Series
Lesson 15: Nested Sums and Products
Lesson 16: Final Semester Exam
Algebra II - Semester II
Description Algebra 2 – Semester II covers identities, inequalities, exponents and logarithms, piecewise-defined functions, functional equations, and much more. In addition to these classes we conduct two exams to make sure students are on track of understanding the concepts and March towards completion of the course. This course is specifically designed to all levels of students with material from many programs and math competitions in around the city/state and country. Our idea is that students develop more by learning to solve problems they haven’t seen before, as opposed to offering repeated drills that students can memorize their way through. In this way, our classes are structured much more like courses at top-tier colleges. |
Class Outline |
Lesson 1: Identities, Manipulations, and Induction
Lesson 2: Inequalities
Lesson 3: Exponents and Logarithms
Lesson 4: Natural Logarithms and Exponential Decay
Lesson 5: Radicals
Lesson 6: Rational and Partial Functions
Lesson 7: Monotonic, Even and Odd Functions
Lesson 8: Mid-Semester Exam
Lesson 9: Piecewise Defined Functions
Lesson 10: Recursive Sequences and Telescoping
Lesson 11: Sums of Polynomial Series
Lesson 12: Mean Inequality Chain
Lesson 13: Cauchy-Schwarz Inequality
Lesson 14: Functional Equations
Lesson 15: Advanced Strategies in solving Challenging problems
Lesson 16: Final Semester Exam