Ring Theory: We now consider special types of rings. In this part, we define maximal ideals and explore their relation to fields. In addition, we note three ways to construct fields.
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Research talk (11/12/2021): Lattice path enumeration for semi-magic squares of size three
INTALG 2.2: Graphs of Functions
INTALG 2.5: Point-Slope Equation of a Line
INTALG 2.4: Lines and Slope
INTALG 2.1: Functions
CANT 2020: Semi-magic matrices for dihedral groups
INTALG 6.1: Rational Expressions: Basics
INTALG 6.2: Rational Expressions: Addition
INTALG 6.3: Nested Rational Expressions
INTALG 9.5: Solving Exponential and Logarithmic Equations
INTALG 9.1: Exponential Functions
INTALG 9.4: Rules for Logarithms
INTALG 9.3: Logarithms
INTALG 5.4: Factoring Quadratic Polynomials
INTALG 5.3: Factoring by Grouping
INTALG 5.7: Solving Equations by Factoring
INTALG 5.5: Special Forms of Factoring
INTALG 4.2: Compound Inequalities
INTALG 8.1a: Square Root Property and Applications
INTALG 1.6b: Exponent Rules (Part 2)
INTALG 1.6a: Exponent Rules (Part 1)
INTALG 7.7: Complex Numbers
INTALG 7 6: Radical Equations
INTALG 7.4: Arithmetic With Radicals