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Calculus & Statistics
A---Home Page
All About the Derivative
All Lessons on Statistics Covered in Class
Area Under a Curve & The Definite Integral
Assignments - Math 115
Average Rate of Change of a Function
Beating the Slot Machines
Bernoulli's backdoor approach
Biased Sample
Bid and Ask Prices
Binomial Expansion
Calculus In Business
Carbon 14 Dating
Casino Games
Casino Slot Machines
Cauchy's Criterion
Cauchy's Definition of a Limit
Central limit theorem
Chain Rule
Chi-Square
Choosing The Alternate Hypothesis
Cluster Sampling
Coefficient of Determination
Common Integration Mistakes
Common TI-83 Procedures in Calculus
Comparing Means & Standard Deviations
Complex Fractions
Compound Interest
Conditional Probability
Confidence Intervals
Confidence Intervals with the Finite Population Correction
Contingency Tables
Continuity & Differentiability
Continuous Compound Interest
Correlation & Regression
Critical Values, Test Statistic, & P-value
Curvature
Curve Fitting
Curve Sketching using Derivative Properties
DeMorgan's Laws of Logic
Derivative Formulas
Differentiability implies Continuity
Differential Equations
Euler's Formula
Factoring Sums & Differences of Cubes
Finding Binomial Probabilities
Finding Max/Min Points
Finding Sample Size
Finding Sample Size With the Finite Population Correction
Fraction Phobia?
Function Composition & 1-1 Functions
Functional Notation
Getting the Derivative by Definition
Growth and Decay
How to find Beta (probability of a Type II error)
Hypotheses testing
Hypothesis Testing: Example
Imaginary Numbers
Implicit & Log Differentiation
Implicit Differentiation
Inferences about two Means
Inferences about two Proportions
Integrals
Integration Formulas
Inverse Trig Identities
Is Flying Really Safer Than Driving?
Justifying Max/Min points
L'Hospital's Rule
Limit (an informal view)
Limits & Continuity--General Overview
Logarithmic Differentiation
Luck
Margin of Error
Math 130 Review Problems
Math 130 Review Problems (Answers)
Math 130 Review Problems (Procedures)
Math130 Quizzes & Exam Hints
Math241 Quiz & Exam Hints
Mathematical Induction
Maximizing Profit
Maximum-Minimum (Max-Min)
Mean Value Theorem
My Casino Ratings
Normal approximation to the binomial distribution
Odds
Pascal's triangle
Percent deception
Percent Increase, Decrease, & Rate of Change
Popular Algebraic Techniques
Popular Optimizaition Problems
Popular TI-83 Menus in Statistics
Probability
Probability Trees
Probability--Common Mistakes
Properties of Exponents & Logarithms
Proportions & Percentages
Quadratic Inequality
Random variables
Random Vs Simple Random
Rate of Change
Related Rates
Replacement or Without Replacement
Sample Proportion
Simple Growth/Decay
Sketching Using Derivatives
Skewness
Solving Max/Min Problems
Special Infinity Limits
Sports Betting
Statistics (Links to Topics)
Supply & Demand Functions
Synthetic Division & Factoring
t curves
Tangents & Normals
Testing the Significance of a Correlation
The 2nd Derivative in Business
The 2nd Fundamental Theorem
The Best Reference Books
The Biggest Box Problem
The birthday problem
The Bug-Frog Problem
The Definite Integral
The Definition of the Natural Log
The Derivative
The Derivative Power Rule
The Derivative Quotient Rule
The Derivative---General Overview
The Dice Triangle & Mathematical Expectation
The Differential
The Fundamental Counting Principle
The GLB & LUB
The Hat Problem
The Hat Problem Solution
The holey function
The Integration Power Rule
The Loan Formula
The Meaning of a Derivative
The Point of Dimishing Returns
The Stock Market & Slot Machines
The Wind Chill Factor
TI-83 Boxplots
TI-83 Histograms
Total probability & Bayes' thm
Two-Dimensional Probability
Type I & Type II Errors
Types of Data
Uniform Continuity
Using the TI-83 calculator in Statistics
What Test to Use
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