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Tutorials (PDF)

Algebra Review
Binomial Theorem
Complex Numbers
Computing Limits
Functions and Transformations of Functions
Review of Trig, Log, Exp

Single Variable Calculus
Arc Length
Chain Rule
Computing Integrals by Completing the Square
Computing Integrals by Substitution
Differentiating Special Functions
First Derivative
Fundamental Theorem of Calculus
Infinite Series Convergence
Integration by Parts
L'Hopital's Rule

Limit Definition of the Derivative
Mean Value Theorem
Partial Fractions
Product Rule
Quotient Rule
Riemann Sums
Second Derivative
Special Trigonometric Integrals
Tangent Line Approximation
Taylor's Theorem
Trigonometric Substitution

Multi-Variable Calculus
Elementary Vector Analysis
Lines, Planes, and Vectors
Multiple Integration
Multi-Variable Chain Rule

Multi-Variable Functions, Surfaces and Contours
Parametric Equations
Partial Differentiation
Tangent Planes

Linear Algebra
Change of Basis
Eigenvalues and Eigenvectors
Geometry of Linear Transformations

Gram-Schmidt Method
Matrix Algebra
Solving Systems of Equations

Differential Equations
First-Order Differential Equations

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