• Problems on the
  • limit of a function as x approaches a fixed constant
  • limit of a function as x approaches plus or minus infinity
  • limit of a function using the precise epsilon/delta definition of limit
  • limit of a function using l'Hopital's rule
• Problems on the continuity of a function of one variable
• Problems on the “Squeeze Principle”
• Problems on the limit definition of the derivative
• Problems on the chain rule
• Problems on the product rule
• Problems on the quotient rule
• Problems on differentiation of trigonometric functions
• Problems on differentiation of inverse trigonometric functions
• Problems on detailed graphing using first and second derivatives
• Problems on applied maxima and minima
• Problems on implicit differentiation
• Problems on related rates …
• Problems on logarithmic differentiation
• Problems on the differential …
• Problems on the Intermediate Value Theorem … tex2html_wrap_inline125
• Problems on the Mean Value Theorem … tex2html_wrap_inline125

Beginning Integral Calculus : Problems using summation notation Problems on the limit definition of a definite integral Problems on u-substitution Problems on integrating exponential functions Problems on integrating trigonometric functions Problems on integration by parts Problems on integrating certain rational functions, resulting in logarithmic or inverse tangent functions Problems on integrating certain rational functions by partial fractions Problems on power substitution Problems on integration by trigonometric substitution Problems on the area of an enclosed region in two-dimensional space Problems on volume of solid of revolution using disc method Problems on volume of solid of revolutions using shell method Problems on volume of static solids by cross-sectional area Problems on moment, mass, center of mass, and centroid Problems on kinetic energy Problems on work Problems on force of water pressure Problems on arc length Problems on surface area Problems on Pappus' Theorem Sequences and Infinite Series : Multi-Variable Calculus : Problems on partial derivatives Problems on the chain rule Problems on critical points and extrema for unbounded regions bounded regions Problems on double integrals using rectangular coordinates polar coordinates Problems on triple integrals using rectangular coordinates cylindrical coordinates spherical coordinates

Sponsor : UC DAVIS DEPARTMENT OF MATHEMATICS