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​Calculus

Topics span techniques of differential and integral calculus, infinite sequences and series, the calculus of inverse functions, vectors, equations of planes and lines in space, and the differential and integral calculus of multivariable functions.

Assistance is available on a one-on-one or small group basis.
Please bring all class notes and handouts with you when asking for assistance. Textbooks, calculators and solutions manuals are available in the Learning Commons.

 

 Textbook Information

 

​Hardcopies of this textbook are available for use at the Calculus tables in the Learning Commons.



MAC 2311, 2312, 2313
Calculus: Early Transcendentals​, 7e, Stewart
 
 

 Handouts

 
 

 Videos

 
  • Course specific videos can be accessed through your WebAssign interface.​
  • 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!
 

 Other Useful Links

 

These are additional resources that our staff and students have found helpful.​​

  • 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
Contact Information

For more information contact the Learning Commons by phone (850) 201-8193 or e-mail learningcommons@tcc.fl.edu.

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7:30 a.m. - 5:00 p.m. Fri

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