MATH 1271 (Calculus I)     INSTRUCTOR: SCOT ADAMS
(topics files)

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summaries of all 75 topics                                     miscellany on all 75 topics


                                                PRECALCULUS
0010: ppt pdf IP7 DL7 IP8 DL8 misc (Standard Notation)
0020: ppt pdf IP7 DL7 IP8 DL8 misc (Functions and expressions)
0030: ppt pdf IP7 DL7 IP8 DL8 misc (Polynomials and rational functions)
0040: ppt pdf IP7 DL7 IP8 DL8 misc (Miscellaneous precalculus)
0050: ppt pdf IP7 DL7 IP8 DL8 misc (Absolute value and distance)
0060: ppt pdf IP7 DL7 IP8 DL8 misc (Elementary graphing)
0070: ppt pdf IP7 DL7 IP8 DL8 misc (Summation) (OPTIONAL TOPIC)
0080: ppt pdf IP7 DL7 IP8 DL8 misc (The Sigma notation)
0090: ppt pdf IP7 DL7 IP8 DL8 misc (Basics of trigonometry)
0100: ppt pdf IP7 DL7 IP8 DL8 misc (Sum of angles formulas in trigonometry) (OPTIONAL TOPIC)
0110: ppt pdf IP7 DL7 IP8 DL8 misc (Inverse functions)

                                    INTRODUCTION TO CALCULUS
0120: ppt pdf IP7 DL7 IP8 DL8 misc (Speed of a freely falling body)
0130: ppt pdf IP7 DL7 IP8 DL8 misc (Rates of change and slopes of lines)

                                                       LIMITS
0140: ppt pdf IP7 DL7 IP8 DL8 misc (Limits)
0150: ppt pdf IP7 DL7 IP8 DL8 misc (The limit game and the exact definition of a limit)
0160: ppt pdf IP7 DL7 IP8 DL8 misc (Sequences)
0170: ppt pdf IP7 DL7 IP8 DL8 misc (Simple limit problems)
0180: ppt pdf IP7 DL7 IP8 DL8 misc (Additivity of limit) (OPTIONAL TOPIC)
0190: ppt pdf IP7 DL7 IP8 DL8 misc (Limit laws)
0200: ppt pdf IP7 DL7 IP8 DL8 misc (Limit problems)
0210: ppt pdf IP7 DL7 IP8 DL8 misc (Continuity)
0220: ppt pdf                 SKIPPED misc (Limits of power functions)
0230: ppt pdf IP7 DL7 IP8 DL8 misc (Trigonometric limits)
0240: ppt pdf IP7 DL7 IP8 DL8 misc (Bounded functions and horizontal asymptotes)
0250: ppt pdf IP7 DL7 IP8 DL8 misc (Problems involving horizontal asymptotes)

                             MORE PRECALCULUS: LOGARITHMS
0260: ppt pdf IP7 DL7 IP8 DL8 misc (Definition of logarithm)

                                    DIFFERENTIAL CALCULUS
0270: ppt pdf IP7 DL7 IP8 DL8 misc (Derivatives and rates of change)
0280: ppt pdf IP7 DL7 IP8 DL8 misc (The derivative of a function is a function)
0290: ppt pdf IP7 DL7 IP8 DL8 misc (Intervals of increase/decrease and intervals of concavity)
0300: ppt pdf IP7 DL7 IP8 DL8 misc (Differentiation problems without techniques of differentiation)
0310: ppt pdf IP7 DL7 IP8 DL8 misc (The power rule)
0320: ppt pdf IP7 DL7 IP8 DL8 misc (Linearity of the derivative and derivatives of polynomials)
0330: ppt pdf IP7 DL7 IP8 DL8 misc (Derivatives of exponential functions)
0340: ppt pdf IP7 DL7 IP8 DL8 misc (The product rule)
0350: ppt pdf IP7 DL7 IP8 DL8 misc (The quotient rule)
0360: ppt pdf IP7 DL7 IP8 DL8 misc (Derivatives of trigonometric functions)
0370: ppt pdf IP7 DL7 IP8 DL8 misc (The chain rule)
0380: ppt pdf IP7 DL7 IP8 DL8 misc (Chain rule problems)
0390: ppt pdf IP7 DL7 IP8 DL8 misc (Derivatives of logarithmic functions)
0400: ppt pdf IP7 DL7 IP8 DL8 misc (Logarithmic differentiation)
0410: ppt pdf IP7 DL7 IP8 DL8 misc (l'Hôpital's rule)
0420: ppt pdf IP7 DL7 IP8 DL8 misc (Indeterminate forms)
0430: ppt pdf IP7 DL7 IP8 DL8 misc (Implicit differentiation)
0440: ppt pdf IP7 DL7 IP8 DL8 misc (Derivatives of inverse functions (The Inverse Function Theorem))
0450: ppt pdf IP7 DL7 IP8 DL8 misc (Maxima and minima)
0460: ppt pdf IP7 DL7 IP8 DL8 misc (The Mean Value Theorem)
0470: ppt pdf IP7 DL7 IP8 DL8 misc (Derivative tests and graphing)
0480: ppt pdf IP7 DL7 IP8 DL8 misc (Graphing problems)
0490: ppt pdf                 SKIPPED misc (More graphing problems) (NOT RECORDED)
0500: ppt pdf                 SKIPPED misc (Even more graphing problems) (NOT RECORDED)
0510: ppt pdf IP7 DL7 IP8 DL8 misc (Optimization)
0520: ppt pdf IP7 DL7 IP8 DL8 misc (Related rates)
0530: ppt pdf IP7 DL7 IP8 DL8 misc (Newton's method)
0540: ppt pdf IP7 DL7 IP8 DL8 misc (Linear approx)

                                         INTEGRAL CALCULUS
0550: ppt pdf IP7 DL7 IP8 DL8 misc (Antidifferentiation)
0560: ppt pdf IP7 DL7 IP8 DL8 misc (Antidifferentiation problems)
0570: ppt pdf IP7 DL7 IP8 DL8 misc (Indefinite integration)
0580: ppt pdf IP7 DL7 IP8 DL8 misc (Riemann sums and the definition of the definite integral)
0590: ppt pdf IP7 DL7 IP8 DL8 misc (Definite integration and Riemann sum problems)
0600: ppt pdf                 SKIPPED misc (Variations on the definition of the definite integral) (NOT RECORDED)
0610: ppt pdf IP7 DL7 IP8 DL8 misc (The Fund Th'ms of Calc, statements and motivations)
0620: ppt pdf IP7 DL7 IP8 DL8 misc (The Fundamental Theorems of Calculus, problems)
0630: ppt pdf IP7 DL7 IP8 DL8 misc (Properties of the definite integral)
0640: ppt pdf IP7 DL7 IP8 DL8 misc (The Integral Mean Value Theorem)
0650: ppt pdf IP7 DL7 IP8 DL8 misc (The Fundamental Theorems of Calculus, proofs)
0660: ppt pdf IP7 DL7 IP8 DL8 misc (Integration by substitution)
0670: ppt pdf XX XX IP8 DL8 misc (Integration by substitution, problems)
0680: ppt pdf IP7 DL7 IP8 DL8 misc (Area between curves)
0690: ppt pdf IP7 DL7 IP8 DL8 misc (Area between curves, problems)
0700: ppt pdf XX XX IP8 DL8 misc (Volume by slices)
0710: ppt pdf IP7 DL7 IP8 DL8 misc (The disk and washer methods)
0720: ppt pdf XX XX IP8 DL8 misc (Volume by slices and the disk and washer methods, problems)
0730: ppt pdf IP7 DL7 IP8 DL8 misc (Volume by cylindrical shells)
0740: ppt pdf IP7 DL7 IP8 DL8 misc (Volume by cylindrical shells, problems)
0750: ppt pdf                 SKIPPED misc (Volume by cylindrical shells, more problems) (NOT RECORDED)