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| MATHEMATICS 100: INTRODUCTION TO CALCULUS |
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| Prepared by: Jose Maria L. Escaner IV, Ph.D. |
| Lecture 0: Review on Inequalities and Functions Lecture 1: Limits Lecture 2: One-Sided Limits Lecture 3: Infinite Limits Lecture 4: Limits at Infinity Lecture 5: Continuity of a Function Answers to the First Exam Lecture 6: Slope of the Line Tangent to a Curve at a Point Lecture 7: Derivative of a function Lecture 8: Properties of the Derivatives Lecture 9: Derivative of Products and Quotients Lecture 10: Chain Rule for Differentiation Lecture 11: Derivative of Sine and Cosine Functions Lecture 12: Derivative of Exponential and Logarithmic Functions Lecture 13: Implicit Differentiation Lecture 14: Logarithmic Differentiation Questions of the Second Exam Lecture 15: Equation of the Tangent LIne and Normal Line of a Curve at a Point Lecture 16: Rectilinear Motion and Applications of Derivatives in Economics Lecture 17: Relative Extrema and Absolute Extrema of a Function Lecture 18: Applications Involving Absolute Extrema on a Closed Interval Lecture 19: Increasing and Decreasing Functions and the First Derivative Test Lecture 20: Concavity, Points of Inflection and the Second Derivative Test Lecture 21: More Exercises on Optimization and Graphing Lecture 22: Related Rates Lecture 23: Indeterminate Forms Answers to the Third Exam Lecture 24: Antidifferentiation Lecture 25: Chain Rule for Antidifferentiation Lecture 26: Area (Motivation for the Definite Integrals) Lecture 27: Definite Integrals |
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