MAC 2311, 2312, 2313 Calculus with Analytic Geometry I, II, & III

Assembled here you will find web resources and other information for calculus classes offered at TCC.

Handouts

Textbook Web Sites

Thomas' Calculus, Early Transcendentals, Media Upgrade , Eleventh edition, by Weir, Hass, and Giordano

Thomas' Calculus , Tenth Edition, by Finney, Weir, and Giordano.

Other Resources

Free Calculus Videos - An amazing collection of youTube videos by Patrick, an outstanding math tutor from Austin, Texas. Clear, well presented and easy to understand examples. 5 stars ! ! ! ! !

Are You Ready for Calculus I?
Take this quiz from the Math Department at the University of Buffalo and find out.

Utah Education Network Themepark
More help and links for calculus.
Places To Go, People To See, Things To Do

Applied Calculus by Stefan Waner and Steven R. Costenoble, Hofstra University. Online tutorials and practice questions for

• Functions and Models
• Nonlinear Models
• Introduction to the Derivative
• Techniques of Differentiation: The Product and Quotient Rules, The Chain Rule, Derivatives of Logarithmic and Exponential Functions, Derivatives of Trigonometric Functions, Implicit Differentiation
• Applications of the Derivative
• The Integral
• Further Techniques and Applications of the Integral
• Functions of Several Variables
• Trigonometric Functions and Calculus
• Calculus Applied to Probability and Statistics

SOS Math calculus page. An advertising-supported site that has tutorials, worked examples, and practice problems with detailed solutions.

• Sequences
• Series
• Limits and Continuity
• Differentiation
• Integration
• Techniques of Integration
• Local Behavior of Functions
• Power Series
• Fourier Series

Visual Calculus from the University of Tennessee, Knoxville

• Limits: Numerical, Graphical, Symbolic, Continuous Functions, Horizontal and Vertical Asymptotes
• Derivatives: Tangent Lines, Differentiation Formulas, Product Rule, Quotient Rule, The Chain Rule, Derivatives of the Trigonometric Functions
• Applications of Differentiation: Graphing, Tangent Lines and Parametric Curves, Implicit Differentiation, Inverse Functions, Maxima and Minima, L'Hopital's Rule, Mean Value Theorem, Newton's Method
• Integration: Antiderivatives / Indefinite Integrals, Areas, Riemann Sums, Definite Integrals, Fundamental Theorem of Calculus, Substitutions, Integration by Parts, Reduction Formulas, Partial Fractions, Using Maple to evaluate indefinite integrals, Numerical Integration, Improper Integrals
• Applications of Integration: Area Between Two Curves, Volumes, Arc Length, Average Value of a Function, Work, Moments and Center of Mass
• Sequences and Series

The Calculus Page from the University of California, Davis. There are lots of great links on this page! The site includes problem sets with solutions on the following topics:

• Differential Calculus:
  Limits, continuity, limit definition of the derivative, chain rule, product rule, quotient rule, trigonometric functions, inverse trigonometric functions, graphing, maxima and minima, implicit differentiation, related rates, logarithmic differentiation, the differential, Intermediate-Value Theorem, Mean Value Theorem
• Beginning Integral Calculus:
  Limit definition of a definite integral, u-substitution, exponential functions, trigonometric functions, integration by parts, partial fractions, power substitution, trigonometric substitution, area, volume by disc method, volume by shell method, moment, mass, center of mass, and centroid, kinetic energy, work, force of water pressure, arc length, surface area, Pappus' Theorem
• Sequences and Infinite Series
• Multi-Variable Calculus:
  Partial derivatives, the chain rule, critical points and extrema, double integrals using rectangular coordinates and polar coordinates, triple integrals using rectangular, cylindrical, and spherical coordinates

Can You Work All of These?

Algebra Review for Precalculus, Trigonometry, Business Calculus, Calculus I, and Science. Test your algebra skills and preparedness for these courses on this page.