MATHS HL – ALGEBRA

Algebra

1. Sequence and Series

(a) Arithmetic Sequence

• Arithmetic Sequence/series with Algebra

• Application of Arithmetic Sequence/series

• Arithmetic Sequence/series with Sigma notation

(b)Geometric Sequence

• Geometric Sequence/series with Algebra

• Application of Geometric Sequence/series

• Geometric Sequence/series with Sigma notation

(c) Harder problems involving both Arithmetic Sequence and Geometric Sequence

2.Binomial Theorem and Distribution

(a) Counting Principles

(b) Binomial Theorem and Pascal’s Triangle

(c) Harder problems involving Binomial Theorem and Distribution

3.Exponential and Logarithmic Functions

(a) Laws of exponents

(b) Laws of logarithms

(c) Laws of logarithms

(d) Change of base formula

(e) Harder problems involving Exponential and Logarithmic Functions

4. Mathematical Induction

(a) Principle of Mathematical Induction

(b) Harder problems involving Mathematical Induction

5. Complex Numbers

(a) Basic Operation of Complex numbers

(b) Cartesian Form

(c) Modulus argument Form

• Complex plane

• De Moivre’s Theorem and Roots of Complex number

(d) Roots of Polynomial equations

(e) Harder problems involving Complex Numbers

6.Systems of Linear equations

(a) Unique solution

(b) Infinity of solutions

(c) No solution

(d) Harder Problems involving Systems of Linear equations

7.Sum and Product of Roots of Polynomial