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Calculus
by Joan Keating
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Calculus

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1.4 Parametric Equations

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Relations

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Circles

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Ellipses

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Lines & Other Curves

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Functions

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Average Rates of Change

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Applications

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1.2 Functions & Graphs

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Domain & Range

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Viewing & Intrepreting Graphs

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Even & Odd Functions

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Piecewise Functions

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Absolute Value Function

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Composite Functions

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Radian Measure

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Slope of a line

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1.3 Exponential Functions

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Exponential Growth & Decay

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The Number e

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Applications

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Instantaneous rates of change

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3.1 Derivative of a Function

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Definition of a derivative

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Graphing Derivative from Data

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One-sided derivatives

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3.4 Velocity and other rates of change

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Motion along a line

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Sensitivity to change

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Derivatives in Economics

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Derivative Notation

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Chapter 2

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2.1 Rates of Change and Limits

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2.2 Limits involving infinity

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2.3 Continuity

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2.4 Rates of Change and Tanget Lines

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Review

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Chapter 3

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3.2 Differentiablity

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3.3 Rules for Differentiation

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3.5 derivatives of trig functions

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3.6 Chain Rule

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3.7 Implicit Differentiation

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3.8 Derivaties of Inverse trig functions

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3.9 Derivaties of Exponential & Logarithmic Functions

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Key terms & Review

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Chapter 4

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Chapter 5

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General

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Sample Tests

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Recommended Examples

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Chapter 1

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1.1 Lines

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1.5 Functions & Logarithms

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Key Terms & Review

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1.6 Trigonometric Functions

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A Secant line is a line segment that connects to two points on a function. Its slope provides the average rate of change of the function. A Tangent line on the other hand is a line that touches only one point on the graph, and provides the instantaneous rate of change.

I chose this link because it provides sample tests provided by my teacher, these tests have helped me so far in the semester, so I think they will help in my preparation for the final. I consider this scholarly or at least semi scholarly, my professor is the head of the Math Department at CCU, James Solazzo.

This PDF is a list of exercises my teacher has recommended, these will help me become familiar with the types of problems, and skill sets I will need to be prepared for the final. I consider this scholarly or at least semi scholarly, my professor is the head of the Math Department at CCU, James Solazzo.