Algebra Lecture Notes
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Logic and Sets
Propositional Logic
Sets
Boolean Algebras
Numbers
Fields
Induction and Order of Operations
Unique Factorization
Numerals and Geometric Series
Ordered Fields
Decimal Expansions
Complex Numbers
Solving Equations
Number Line and Plane
Functions
Geometry
The Pythagorean Theorem
Trigonometry
Polar Coordinates and Transformations
Lines, Circles, and Parabolas
Conic Sections
Polynomials
Polynomials
Graphing Near a Point
Rational Roots
The Fundamental Theorem of Algebra
Cubic Equations
Quartic Equations
Continuity and the Fundamental Theorem of Algebra
Continuity
More Continuous Functions
Theorems of Bolzano and Weierstrass
The Proof of the Fundamental Theorem of Algebra
Elementary Functions
Exponential Functions
Inverse Functions
Logarithmic Functions
Power Series