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Calculus by Mind Map: Calculus
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Calculus

1.4 Parametric Equations

Relations

Circles

Ellipses

Lines & Other Curves

Functions

Average Rates of Change

Applications

1.2 Functions & Graphs

Domain & Range

Viewing & Intrepreting Graphs

Even & Odd Functions

Piecewise Functions

Absolute Value Function

Composite Functions

Radian Measure

Slope of a line

1.3 Exponential Functions

Exponential Growth & Decay

The Number e

Applications

Instantaneous rates of change

3.1 Derivative of a Function

Definition of a derivative

Graphing Derivative from Data

One-sided derivatives

3.4 Velocity and other rates of change

Motion along a line

Sensitivity to change

Derivatives in Economics

Derivative Notation

Chapter 2

2.1 Rates of Change and Limits

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.

2.2 Limits involving infinity

2.3 Continuity

2.4 Rates of Change and Tanget Lines

Review

Chapter 3

3.2 Differentiablity

3.3 Rules for Differentiation

3.5 derivatives of trig functions

3.6 Chain Rule

3.7 Implicit Differentiation

3.8 Derivaties of Inverse trig functions

3.9 Derivaties of Exponential & Logarithmic Functions

Key terms & Review

Chapter 4

Chapter 5

General

Sample Tests

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.

Recommended Examples

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.

Chapter 1

1.1 Lines

1.5 Functions & Logarithms

Key Terms & Review

1.6 Trigonometric Functions