MARTINDALE’S CALCULATORS ONLINE CENTER MATHEMATICS CENTER: CALCULUS (Calculators, Applets, Spreadsheets, 
PRECALCULUS COURSES WITH CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
with the definition of a function and examine the representation in four modes: symbolic, numerical, graphical and verbal. The domain and range of a function are also defined; exercises on finding the domain of a function are provided…” Examples of “PreCalculus” Subject Categories include
Piecewise Defined Functions; Even and Odd Functions; Polynomials; Rational Functions; Geometric Transformations of Functions; Algebra of Functions; Composition of Functions; Trigonometric Functions; Exponential Functions; Inverses of Functions; Logarithms; Parameters and Functions; Parametric Equations; Polar Coordinates; Solving Equations; etc…” For more information see

First Year Calculus
Modeling Rates of Change; Modeling with Differential Equations; Modeling Accumulations; etc…” For more information see
The Function Zoo; What is the derivative?; Tools for Calculating Derivatives; Applications of the Derivative; Exponential functions and exponential growth; Trigonometric and Inverse Trigonometric functions; Differential equations for periodic behaviour; etc…” For more information see
Derivatives; Applications of the Derivative; The Chain Rule; Integrals; Exponentials and Logarithms; Techniques of Integration; Polar Coordinates and Complex Numbers; Infinite Series; Vectors and Matrices; Motion along a Curve; Partial Derivatives; Multiple Integrals; Vector Calculus; etc…” For more information see
Vectors, Dot Products, Matrix Multiplication and Distance; Area of a Parallelogram, Determinants, Volume and Hypervolume, the Vector Product; Computation of Derivatives from their Definition; Higher Derivatives, Taylor Series, Quadratic Approximations and Accuracy of Approximations; The Product Rule and Differentiating Vectors; The Fundamental Theorem of Calculus in Higher Dimensions; Additive Measures, Stokes Theorem and the Divergence Theorem; etc…” Examples of “Calculus” Calculators Subject Categories include
Vectors and Algebra Calculators; Application to 3D Linear Geometry Calculators; Curves; Fields and Surfaces Calculators; Complex Numbers and Functions Calculators; Integration on Curves Calculators; Integration on Surfaces Calculators; Differential Equations Calculators; etc…” For more information see
Calculus Online Textbook: 18.013A Examples from over “30” Calculus Calculators & Calculus Applets include
OneSided Limits; Infinite Limits; Limits At Infinity; etc…” Derivatives
Derivatives of Trig Functions; Derivatives of Exponential and Logarithm Functions; Chain Rule; Higher Order Derivatives; Logarithmic Differentiation; etc…” Applications of Derivatives
Finding Absolute Extrema; The Mean Value Theorem; Linear Approximations; etc…” Integrals; Applications of Integrals; etc. For more information see
Integrals Involving Quadratics; Improper Integrals; Approximating Definite Integrals; etc…” Parametric Equations and Polar Coordinates
Arc Length with Parametric Equations; Polar Coordinates; Area with Polar Coordinate; etc…” Sequences and Series
Series; Alternating Series Test; Ratio Test; Strategy for Series; Power Series; Taylor Series; etc…” Three Dimensional Space
Equations of Lines; Quadric Surfaces; Vector Functions; Calculus with Vector Functions; Velocity and Acceleration; Cylindrical Coordinates; etc…” Vectors; etc. For more information see
Partial Derivatives; Higher Order Partial Derivatives; Chain Rule; Directional Derivatives; etc…” Multiple Integrals
Iterated Integrals; Double Integrals over General Regions; Triple Integral; Triple Integrals in Spherical Coordinates; etc…” Line Integrals; For more information see
which can be used by either students or faculty…” Examples of “Visual Calculus” Course Chapters include
Derivatives; Applications of Differentiation; Integration; Applications of Integration; Sequences and Series…” For more information see
Functions and their properties; Best affine approximations; Integration; Polynomial approximations and Taylor series; etc. For more information see

Composition of Functions Calculator; Vector Fields Calculator; Differentiability Calculator; Derivative of Function with Different Parameters Calculator; Derivative of the Inverse Function Calculator; Convexity/Concavity Calculator; etc…” For more information see
Ordinary Differential Equations and Difference Equations; Partial Differential Equations; Numerical Analysis; Numerical Partial Differential Equations; etc…” For more information see
understand the epsilon/delta definition of a limit. The definition states that the limit of f(x) as x approaches a is L…”
Families of functions Calculator; Parametric Curves Calculator; Inverse Functions Calculator; etc…” Derivatives Calculators
The Derivative as a Function Calculator; etc…” Summations Calculators
Geometric series Calculator; Sum of odds Calculator; Sum of cubes Calculator; etc…” Integration Calculators; For more information see
Continuity; Differentiation; Integration; Sequences and Series; etc…” Multivariable Calculus
Vectors; Continuity in several variables; Differentiation of functions of several variables; Integration in vector fields…” For more information see
For more information see
Higher Derivatives of Products Calculator; Derivatives of Trigonometric Functions Calculator; Derivatives of Hyperbolic Functions Calculator; Derivatives of Exponential and Logarithmic Functions Calculator. For more information see
compute and test numbers…” For more information see
specify…” For more information see
Simpson’s rule sums. Also computes integrals to the accuracy you specify using an adaptive quadrature algorithm…” For more information see
Regression Calculators & Applets MULTIPLE LINEAR REGRESSION – S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Multiple Linear Regression Calculator
of up to 4 independent variables and up to 16 data points (10 digit accuracy)…” For more information see
more than 11 significant digits…” For more information see
the leftsum approximation of the integral…” For more information see 
ADVANCED CALCULUS COURSES, TEXTBOOKS, CALCULATORS, APPLETS, ETC. Advanced Calculus Textbook (PDF)
FiniteDimensional Vector Spaces; The Differential Calculus; Compactness and Completeness; Scalar Product Spaces; Multilinear Functionals; Integration; The Integral Calculus on Manifolds; Exterior Calculus; etc…” For more information see INFINITESIMAL CALCULUS COURSES, TEXTBOOKS, CALCULATORS, APPLETS, ETC. Infinitesimal Calculus Textbooks (PDF)
Chapter 3: The Theory of Limits; Chapter 5: The Theory of Derivatives; Chapter 8: Higher Order Derivatives; Chapter 11: Theory of Initial Value Problems; Chapter 12: The Theory of Power Series; etc…” For more information see
Properties of continuous functions; Properties of derivatives; Increasing, decreasing, and local extrema; Higherorder derivatives; etc…” Integrals
Applications of deﬁnite integrals; Some techniques for evaluating integrals; etc…” For more information see SINGLE VARIABLE CALCULUS COURSES, TEXTBOOKS, CALCULATORS, APPLETS, ETC. Single Variable Calculus Courses with Text, Images, Videos/Movies & Audio/Sound
Discontinuity Video Lectures; Calculating Derivatives Video Lectures; Limits of Sine and Cosine Video Lectures; etc…” Part B: Implicit Differentiation and Inverse Functions;
Derivatives of other Exponential Functions Video Lectures; etc…” Applications of Differentiation
Part B: Optimization, Related Rates and Newton’s Method; Part C: Mean Value Theorem, Antiderivatives and Differential Equations. The Definite Integral and its Applications; For more information see MULTIVARIABLE CALCULUS CALCULUS COURSES, TEXTBOOKS, CALCULATORS, APPLETS, ETC. Multivariable Calculus Courses with Text, Images, Videos/Movies & Audio/Sound
Part B: Matrices and Systems of Equations; Part C: Parametric Equations for Curves. Partial Derivatives
Approximation Formula Video Lectures; Optimization Problems Video Lectures; Least Squares Video Lectures; etc…” Part B: Chain Rule, Gradient and Directional Derivatives;
Proof of Lagrange Multipliers Video Lectures; Constrained Differentials Video Lectures; etc…” Double Integrals and Line Integrals in the Plane
Part B: Vector Fields and Line Integrals; etc. Triple Integrals and Surface Integrals in 3Space
Part B: Flux and the Divergence Theorem; etc. For more information see Multivariable Calculus Courses with Text, Images, Applets, Mathematica, Livegraphics3D

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