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Math, Statistics and Writing Handouts

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The SCAA acknowledges the following learning, tutoring, and writing centers that have provided these materials:

El Paso Community College, George Mason University, and others as noted on the handouts.

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Algebra

Trigonometry

  •  Unit Circle 
  •  Converting Radians to degrees and degrees to  radians
  •  Exact value of Trig Functions 
  •  Transforming and Graphing Trig Functions
  •  Using Trig Identities 
  •  Trigonometric Identities
  •  Trigonometric Functions
  •  The law of Sines
  •  The law of Cosines
  •  Inverse Trigonometric Functions
  •  Solving Trigonometric Equation
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Business Calculus

  •  The Chain Rule
  •  Techniques of Differentiation
  •  Limits
  •  Optimization & Applications
  •  Fundamental Theorem of  Calculus
  •  Definite Integrals 
  •  Integration by Parts
  •  Integration by Substitution
  •  Partial Derivatives
  •  Applications of Growth Models
  •  Implicit Differentiation
  •  Anti-differentiation

Calculus

  •  Implicit Differentiation
  •  Indefinite Integrals
  •  Integration By Parts
  •  Trigonometric Substitution
  •  U-Substitution
  •  Optimization and Applications
  •  L’Hospital’s Rule
  •  Minimum and Maximum Values
  •  The Mean Value Theorem & Rolle's Theorem
  •  Anti-differentiation 

Differential Equations

  •  Partial Derivatives 
  •  First Order differential Equations
  •  Second Order differential Equations
  •  Application of first Order Differential Equation
  •  Laplace transforms
  •  Linear System
  •  Slope field
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Linear Algebra

  •  Vector Space
  •  System of Linear equations
  •  Linear Transformations
  •  Matrix Inverse
  •  Determinants
  •  Eigenvalues and Eigenvectors
  •  Linear dependence 
  •  Linear independence
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Discrete Mathematics

  •  Logic
  •  Set Theory  

Math Study Skills

Miscellaneous

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Statistics Handouts

Elementary Statistics

  •  Population Parameter?
  •  Sample Parameter?
  •  Basic Descriptive Statistics
  •  Constructing a Boxplot 
  •  Constructing a Histogram 
  •  Frequency
  •  Relative Frequency
  •  Central Limit Theorem 
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Probability Theory

  •  Basic Probability Rules
  •  Counting Methods
  •  Conditional Probability
  •  Law of Total Probability 
  •  Bayes' Theorem 
  •  Binomial Probability
  •  Geometric Probability
  •  Hypergeometric Probability 
  •  Poisson Probability 

Hypothesis Testing

  •  What is a P-value?
  •  Type 1 and Type 2 Errors
  •  One-Sample T-Test and Z-Test
  •  Two-Sample Proportion Test 
  •  Paired Two-Sample T-Test 
  •  Chi-Square Test
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Probability Distribution

  •  Normal Distribution
  •  Chi-square Distribution 
  •  Exponential Distribution
  •  Geometric Distribution 
  •  Hypergemetric Probability
  •  Poisson Distribution
  •  Student's T Distribution

Confidence Interval

  • Confidence Interval for One Sample 
  • Confidence Interval for Two Independent Samples  
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 Regression Analysis

  •  Linear regression
  •  simple linear regression 
  •  residuals
  •  correlation 
  •  General linear model
  •  Goodness of fit
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SPSS (Software)

  •  Basic Descriptive Statistics
  •  Paired T-test 
  •  One Sample T-test
  •  Two Sample T-test
  •  Normality test
  •  Nonparametric test
  •  Analysis of Variance (ANOVA) One-way
  •  Analysis of Variance (ANOVA) Two-way

Minitab (Software)

  •  Basic Descriptive Statistics
  •  Paired T-test  
  •  One Sample T-test
  •  Two Sample T-test
  •  Normality test
  •  Nonparametric test
  •  Analysis of Variance (ANOVA) One-way
  •  Analysis of Variance (ANOVA) Two-way

Excel (Software)

  •  Basic Descriptive Statistics
  •  Paired T-test 
  •  One Sample T-test
  •  Two Sample T-test
  •  Normality test
  •  Nonparametric test
  •  Analysis of Variance (ANOVA) One-way
  •  Analysis of Variance (ANOVA) Two-way

SAS  (Software)

  •  Basic Descriptive Statistics
  •  Paired T-test 
  •  One Sample T-test
  •  Two Sample T-test 
  •  Normality test
  •  Nonparametric test
  •  Analysis of Variance (ANOVA) One-way
  •  Analysis of Variance (ANOVA) Two-way
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Writing Handouts

Grammar

Punctuation

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Sentence Structure

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Paragraph Structure

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Essay Structure

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Research Papers

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