Calculus Tutorial: appunti ipertestuali per un'avvio alla Analisi Matematica e all'Algebra Lineare (rielaborati, integrati e, parzialmente, corretti da materiale su Internet dell'Harvey Mudd College)
Nota: eventuali [+] fanno accedere a complementi o esercizi  [altri materiali sul sito MaCoSa]   (nota sui browser)
Sul software: anche se nelle voci sono presenti riferimenti ad altri software, quasi tutte la attività sono svolgibili con R.
Pre-Calculus
Algebra Review [+]
Functions and Transformations of Functions
Computing Limits [+]
Binomial Theorem [+]
Review of Trig, Log, Exp [+]
Complex Numbers [+]
Single Variable Calculus
Continuity
Limit Definition of the Derivative [+]
Product Rule
Quotient Rule
Chain Rule
Derivatives of inverse functions
Differentiating Special Functions
Tangent Line Approximation [+]
Mean Value Theorem for derivatives
The First Derivative: Maxima and Minima
Concavity and the Second Derivative Test
L'Hopital's Rule
Infinite Series Convergence
Taylor's Theorem
Riemann Sums [+]
Fundamental Theorem of Calculus
Antiderivatives
Integration by Parts
Computing Integrals by Substitution
Trigonometric Substitution
Computing Integrals by Completing the Square
Partial Fractions
Integrali impropri
Mean Value       Volume       Arc Length
(Sequences and) Series of Functions
Special Trigonometric Integrals - Fourier series
Multi-Variable Calculus
Elementary Vector Analysis
Parametric Equations [+]
Lines, Planes, and Vectors
Multi-Variable Functions, Surfaces and Contours
Partial Differentiation [+] (gradiente, estremi, differenziale tot.)
Tangent Planes and Linear Approximations
Multi-Variable Chain Rule
Multiple Integration [+] (Jacobiano)
Divergenza e rotore, integrali di linea e superficie
Altri spazi vettoriali
Linear Algebra
Matrix Algebra
Solving Systems of Equations. Gauss Elimination Method.
(Geometry of) Linear Transformations
Change of Basis [+]
Eigenvalues and Eigenvectors [+] (forme quadratiche)
Gram-Schmidt Method
Differential Equations
First-Order Differential Equations   Altro