M1 Basics
2. Algebraic Manipulations
2-1. Multiplying expressions; Basic Formulas for Expansions
2-2. Simplifying Double-Roots into One-Root sign
2-3. Methods of Division and the Remainder Theorem
2-4. Methods of Factoring Out and the Factor Theorem
3. Solving Equations
3-1. Linear Equations; one unknown
3-2. Quadratic Equations
3-3. Special Higher Order Equations
3-4. The Relationship between Coefficients and Roots
4. Systems of Simultaneous Equations; two or three unknowns
4-1. By Substitution Method
4-2. By Addition - Subtraction Method
4-3. By Cramer’s Rule with the Determinant
4-4. By Gauss’ Elimination Method
4-5. By use of the Inverse Matrix
4-6. By use of Orthogonal Complement --- Correspondence to Cramer's rule
5. Manipulating Rational Expressions; Partial Fraction Resolutions (Simple Case)
6. Solving Inequalities (Simple Case)
7. Miscellaneous Problems