MATH 1271 (Calculus I)     INSTRUCTOR: SCOT ADAMS
(problem bank)


        PRECALCULUS
misc: ppt pdf (Miscellaneous Precalculus)
0010: ppt pdf (Standard Notation)
0020: ppt pdf (Functions and expressions)
0030: ppt pdf (Polynomials and rational functions)
0040: ppt pdf (Miscellaneous precalculus)
0050: ppt pdf (Absolute value and distance)
0060: ppt pdf (Elementary graphing)
0070: ppt pdf (Summation) (OPTIONAL TOPIC)
0080: ppt pdf (The Sigma notation)
0090: ppt pdf (Basics of trigonometry)
0100: ppt pdf (Sum of angles forumlas in trigonometry) (OPTIONAL TOPIC)
0110: ppt pdf (Inverse functions)

        INTRODUCTION TO CALCULUS
0120: ppt pdf (Speed of a freely falling body)
0130: ppt pdf (Rates of change and slopes of lines)

        LIMITS
0140: ppt pdf (Limits)
0150: ppt pdf (The limit game and the exact definition of a limit)
0160: ppt pdf (Sequences)
0170: ppt pdf (Simple limit problems)
0180: ppt pdf (Additivity of limit) (OPTIONAL TOPIC)
0190: ppt pdf (Limit laws)
0200: ppt pdf (Limit problems)
0210: ppt pdf (Continuity)
0220: ppt pdf (Limits of power functions) (NOT RECORDED)
0230: ppt pdf (Trigonometric limits)
0240: ppt pdf (Bounded functions and horizontal asymptotes)
0250: ppt pdf (Problems involving horizontal asymptotes)

        MORE PRECALCULUS: LOGARITHMS LOGARITHMS
0260: ppt pdf (Definition of logarithm)

        DIFFERENTIAL CALCULUS
0270: ppt pdf (Derivatives and rates of change)
0280: ppt pdf (The derivative of a function is a function)
0290: ppt pdf (Intervals of increase/decrease and intervals of concavity)
0300: ppt pdf (Differentiation problems without techniques of differentiation)
0310: ppt pdf (The power rule)
0320: ppt pdf (Linearity of the derivative and derivatives of polynomials)
0330: ppt pdf (Derivatives of exponential functions)
0340: ppt pdf (The product rule)
0350: ppt pdf (The quotient rule)
0360: ppt pdf (Derivatives of trigonometric functions)
0370: ppt pdf (The chain rule)
0380: ppt pdf (Chain rule problems)
0390: ppt pdf (Derivatives of logarithmic functions)
0400: ppt pdf (Logarithmic differentiation)
0410: ppt pdf (l'Hôpital's rule)
0420: ppt pdf (Indeterminate forms)
0430: ppt pdf (Implicit differentiation)
0440: ppt pdf (Derivatives of inverse functions (The Inverse Function Theorem))
0450: ppt pdf (Maxima and minima)
0460: ppt pdf (The Mean Value Theorem)
0470: ppt pdf (Derivative tests and graphing)
0480: ppt pdf (Graphing problems)
0490: ppt pdf (More graphing problems) (NOT RECORDED)
0500: ppt pdf (Even more graphing problems) (NOT RECORDED)
0510: ppt pdf (Optimization)
0520: ppt pdf (Related rates)
0530: ppt pdf (Newton's method)
0540: ppt pdf (Linear approx)

        INTEGRAL CALCULUS
0550: ppt pdf (Antidifferentiation)
0560: ppt pdf (Antidifferentiation problems)
0570: ppt pdf (Indefinite integration)
0580: ppt pdf (Riemann sums and the definition of the definite integral)
0590: ppt pdf (Definite integration and Riemann sum problems)
0600: ppt pdf (Variations on the definition of the definite integral) (NOT RECORDED)
0610: ppt pdf (The Fund Th'ms of Calc, statements and motivations)
0620: ppt pdf (The Fundamental Theorems of Calculus, problems)
0630: ppt pdf (Properties of the definite integral)
0640: ppt pdf (The Integral Mean Value Theorem)
0650: ppt pdf (The Fundamental Theorems of Calculus, proofs)
0660: ppt pdf (Integration by substitution)
0670: ppt pdf (Integration by substitution, problems)
0680: ppt pdf (Area between curves)
0690: ppt pdf (Area between curves, problems)
0700: ppt pdf (Volume by slices)
0710: ppt pdf (Area between curves, problems)
0720: ppt pdf (Volume by slices and the disk and washer methods, problems)
0730: ppt pdf (Volume by cylindrical shells)
0740: ppt pdf (Volume by cylindrical shells, problems)
0750: ppt pdf (Volume by cylindrical shells, more problems) (NOT RECORDED)