Syllabus of Algebra I & II
Duration 2 months
Algebra I
Chapter 1
Real Numbers & their graphs
Chapter 2
Fractions
Chapter 3
Exponents
Chapter 4
Adding and subtracting real numbers
Chapter 5
Multiplying & dividing real numbers
Chapter 6
Algebraic expressions
Chapter 7
Properties of real numbers
Chapter 8
Introduction to equations
Chapter 9
Solving more equations
Chapter 10
Simplifying expressions
Chapter 11
Solving inequalities
Chapter 12
Natural number exponents
Chapter 13
Zero and negative exponents
Chapter 14
Polynomials
Chapter 15
Adding and subtracting Polynomials
Chapter 16
Multiplying Polynomials
Chapter 17
Dividing polynomials by monomials
Chapter 18
Dividing polynomials by polynomials
Chapter 19
Factoring the greatest common factor
Chapter 20
Factoring by grouping
Chapter 21
Factoring the difference of two squares
Algebra II
Chapter 1
Graphing Equations
Chapter 2
The slope of a line
Chapter 3
Writing Equations of lines
Chapter 4
Graphing Inequalities
Chapter 5
Solving systems of equations by graphing
Chapter 6
Solving systems of equations by substitution
Chapter 7
Solving systems of equations by addition
Chapter 8
Solving systems of equations in three variables
Chapter 9
Simplifying radical expressions
Chapter 10
Adding/subtracting radical expressions
Chapter 11
Multiplying/dividing radical expressions
Chapter 12
Fractional exponents
Chapter 13
Solving Polynomial equations
Chapter 14
The Quadratic formula
Chapter 15
Solving equations with Radicals
Advanced Algebra for University Students
Chapter 1
Complex Numbers
Chapter 2
Quadratic Equations
Chapter 3
Arithmetic & Geometric Progressions
Chapter 4
Permutations & Combinations
Chapter 5
Mathematical Induction
Chapter 6
Binomial Theorem
Chapter 7
Matrices
Chapter 8
Determinants
Chapter 9
Logarithms