## Words From Hong-Jian:

This is the area where you may find something arisen from working on the problems in Calculus. Now it is in the beginning stage. I hope this will grow and will offer Calculus learning students certain help outside the classroom. Students are the most important for making this place to grow and to become a spot where the Calculus learning students would find helpful. Please send your feedback and suggestions to me at hjlai@math.wvu.edu and I will appreciate your comments very much.

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 Tip ·        Determine the domain of a function ·        Evaluate a function ·        Evaluate composition functions ·        Determine the equation of a straight line in the plane ·        Calculate the limit of a function: Apply Limit Laws and Properties ·        Calculate the limit of a function: canceling zero factors before evaluating for the 0/0 type limits, and other hard to decide situations ·        Compute the derivative by definition: The four step procedure ·        Find an equation of the tangent line (using the 4-step procedure to find slopes) ·        Compute limits: using the basic trigonometric limit ·        Compute limits: using the Squeeze Law ·        Compute side limits (infinite limits) ·        Check continuity of functions and determine discontinuities ·        Application of the intermediate value property of continuous functions ·        Find derivatives by using differentiation rules ·        Find derivatives by using the chain rule ·        Find vertical tangent lines ·        Find maximum and minimum values of a function over a closed interval ·        Compute derivatives of trigonometric functions ·        Compute derivatives of implicit functions ·        Compute related rates ·        Compute the differential and linear approximation of a function ·        Determine monotone intervals of a function ·        The Mean Value Theorem ·        The First Derivative Test and the classification of critical points (open interval min-max problems) ·        Compute the higher derivatives ·        Applications of the second derivative: the concavity of the graph and the second derivative test ·        Study the behavior of a function at infinity and asymptotes of the graph of a function ·        Differentiation and Antidifferetiation ·        Compute antiderivatives with some algebraic skills and substitution techniques ·        Substitution? Which one? ·        Compute Sums with summation notation ·        Riemann Sums and definite integrals ·        Evaluation of integrals ·        Average of a function ·        Fundamental Theorem of Calculus ·        Volume Computing ·        Arc length and surface area computing

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