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

 

 


Address:  1837 Montgomery Hwy, Suite #111, Hoover, AL 35244.
Phone number: 205-530-0188