MATH 150 SUPPLEMENTAL NOTES INDEX
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REAL NUMBERS AND THE REAL LINE |
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CARTESIAN COORDINATES IN THE PLANE |
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EXPONENTIAL FUNCTIONS |
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INVERSE FUNCTIONS AND LOGARITHMS |
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FUNCTIONS |
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SHIFTING GRAPHS, CIRCLES AND PARABOLAS |
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TRIGONOMETRIC FUNCTIONS |
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RATES OF CHANGE AND LIMITS |
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RULES FOR FINDING LIMITS |
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THE PRECISE DEFINITION OF THE LIMIT |
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EXTENSIONS OF THE LIMIT CONCEPT |
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CONTINUITY |
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TANGENT LINES AND THE DEFINITION OF THE DERIVATIVE |
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DIFFERENTIATION RULES |
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RATES OF CHANGE |
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DERIVATIVES OF TRIGONOMETRIC FUNCTIONS |
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THE CHAIN RULE |
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IMPLICIT DIFFERENTIATION |
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RELATED RATES OF CHANGE |
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INVESTIGATING THE GRAPHS OF FUNCTIONS |
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LIMITS INVOLVING INFINITY AND ASYMPTOTES |
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OPTIMIZATION |
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LINEARIZATION AND DIFFERENTIALS |
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INDEFINITE INTEGRALS |
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DIFFERENTIAL EQUATIONS AND INITIAL VALUE PROBLEMS |
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INTEGRATION BY SUBSTITUTION |
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RIEMANN SUMS AND THE DEFINITE INTEGRAL |
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THE FUNDAMENTAL THEOREM OF CALCULUS & THE DEFINITE INTEGRAL |
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NUMERICAL INTEGRATION |
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AREA BETWEEN TWO CURVES |
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FINDING VOLUMES BY SLICING |
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VOLUMES OF SOLIDS OF REVOLUTION - DISK & WASHERS |
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VOLUMES OF SOLIDS OF REVOLUTION - CYLINDRICAL SHELLS |
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LENGTH OF PLANE CURVES |
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AREAS OF SURFACES OF REVOLUTION |
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MOMENTS AND CENTERS OF MASS |
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WORK, FLUID PRESSURES AND FORCES |
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DISPLACEMENT vs. DISTANCE TRAVELED |
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