Alphabetical Index by Topic


Other Years of Problems:

2003

2002

2001

2000

1999

1998

 

Search for Specific Problem Types: 

Choose from the below Problems of Christmas Past any get all misty at the memories ...
Problems range from easy () to pretty difficult ()

2001-2002

Problem #1:    Composition of Functions, Piecewise-Defined Functions (AB) 
                            A Big Limit Problem (BC) 

Problem #2:    Evaluating Limits Graphically (AB) 
                            Continuity (BC) 

Problem #3:     Graphing Limits and Continuity (AB) 
                            Parametric Equations (BC) 

Problem #4:     The Difference Quotient (AB and BC) 

Problem #5:     Derivatives of Tabular Functions (AB and BC) 

Problem #6:     Approximating Derivatives (AB) 
                            Rates of Change (BC) 

Problem #7:     Mean Value Theorem (AB) 
                            Implicit Differentiation (BC) 

Problem #8:     Related Rates (AB and BC) 

Problem #9:     Derivative Relationships (AB) 
                            Particle movement (position, velocity, and acceleration) (BC) 
Problem #10:     Calculator Checkup (AB and BC) 

Problem #11:     Simple Optimization (AB and BC) 

Problem #12:     Advanced Optimization (AB and BC) 

Problem #13:     Riemann Sums (Left, Right, and Midpoint Sums) (AB and BC) 

Problem #14:     Trapezoidal and Simpson's Rules (AB and BC) 

Problem #15:     Trapezoidal Rule Application Problem (AB and BC) 

Problem #16:     Calculating Distance Traveled (AB and BC) 

Problem #17:     Trapezoidal Rule and Riemann Sums Proof (AB and BC)

Problem #18:     Integration by U-substitution (Change of Variables) (AB and BC)

Problem #19:    A Variable-Packed Fundamental Theorem Problem (AB)
                            Integration by Parts (BC)
Problem #20:     Related Antiderivatives (AB)
                              Integration by Partial Fraction Decomposition (BC)
Problem #21:     Evaluating Accumulation Functions & Their Derivatives (AB)
                            Improper Integrals (BC)
Problem #22:     Area Between Curves and Rotational Volume (AB)
                            Sum of a Geometric Series (BC)
Problem #23:    Volume of Solids with Known Cross-Sections (AB)
                            The Ratio Test (BC)
Problem #24:    Implicit Differentiation (AB)
                            Euler's Method (BC)
Problem #25:     First Order Differential Equations (AB)
                            Maclaurin Series (BC)
Problem #26:     Review of Derivative Relationships (AB and BC)

Problem #27:     Exponential Decay and Partial Nudity (AB and BC)

Problem #28:     The Mean Value Theorem (AB and BC)

 

 

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