Introductory Statistics by Illowsky, Barbara, Dean, Susan, Birmajer, Daniel, Blount, Bryan, Boyd, Sheri, Einsohn, Matthew, Helmreich, James, Kenyon, Lynette, Lee, Sheldon, Taub, Jeff

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Precalculus by Tradler, Thomas, Carley, Holly

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Elementary Algebra by Redden, John

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A First Course in Linear Algebra by Kuttler, Ken

Table of Contents: “…1 Systems of Equations -- 1.1 Systems of Equations, Geometry -- 1.2 Systems Of Equations, Algebraic Procedures -- 2 Matrices -- 2.1 Matrix Arithmetic -- 2.2 LU Factorization -- 3 Determinants -- 3.1 Basic Techniques and Properties -- 3.2 Applications of the Determinant -- 4 R^n -- 4.1 Vectors in R^n -- 4.2 Algebra in R^n -- 4.3 Geometric Meaning of Vector Addition -- 4.4 Length of a Vector -- 4.5 Geometric Meaning of Scalar Multiplication -- 4.6 Parametric Lines -- 4.7 The Dot Product -- 4.8 Planes in R^n -- 4.9 The Cross Product -- 4.10 Spanning, Linear Independence and Basis in R^n -- 4.11 Orthogonality and the Gram Schmidt Process -- 4.12 Applications -- 5 Linear Transformations -- 5.1 Linear Transformations -- 5.2 The Matrix of a Linear Transformation I -- 5.3 Properties of Linear Transformations -- 5.4 Special Linear Transformations in R^2 -- 5.5 One to One and Onto Transformations -- 5.6 Isomorphisms -- 5.7 The Kernel And Image Of A Linear Map -- 5.8 The Matrix of a Linear Transformation II -- 5.9 The General Solution of a Linear System -- 6 Complex Numbers -- 6.1 Complex Numbers -- 6.2 Polar Form -- 6.3 Roots of Complex Numbers -- 6.4 The Quadratic Formula -- 7 Spectral Theory -- 7.1 Eigenvalues and Eigenvectors of a Matrix -- 7.2 Diagonalization -- 7.3 Applications of Spectral Theory -- 7.4 Orthogonality -- 8 Some Curvilinear Coordinate Systems -- 8.1 Polar Coordinates and Polar Graphs -- 8.2 Spherical and Cylindrical Coordinates -- 9 Vector Spaces -- 9.1 Algebraic Considerations -- 9.2 Spanning Sets -- 9.3 Linear Independence -- 9.4 Subspaces and Basis -- 9.5 Sums and Intersections -- 9.6 Linear Transformations -- 9.7 Isomorphisms -- 9.8 The Kernel And Image Of A Linear Map -- 9.9 The Matrix of a Linear Transformation -- A Some Prerequisite Topics -- A.1 Sets and Set Notation -- A.2 Well Ordering and Induction -- B Selected Exercise Answers…”
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Advanced High School Statistics by Diez, David, Barr, Christopher, Çetinkaya-Rundel, Mine, Dorazio, Leah

Table of Contents: “…-- 6 Inference for categorical data -- 6.1 Inference for a single proportion -- 6.2 Difference of two proportions -- 6.3 Testing for goodness of fit using chi-square -- 6.4 Homogeneity and independence in two-way tables -- 7 Inference for numerical data -- 7.1 Inference for a mean with the t-distribution -- 7.2 Inference for paired data -- 7.3 Inference for the difference of two means -- 8 Introduction to linear regression -- 8.1 Line fitting, residuals, and correlation -- 8.2 Fitting a line by least squares regression -- 8.3 Inference for the slope of a regression line -- 8.4 Transformations for skewed data -- A Exercise solutions -- B Distribution tables -- C Distribution Tables -- D Calculator reference, Formulas, and Inference guide…”
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Technical Writing and Simple Statistics for laboratory classes by Wettstein, Stephanie G.

Table of Contents: “…Statistics -- Descriptive Statistics -- Mean, Median, and Mode -- Outliers -- Standard Deviation -- Sample Variance -- Standard Error -- Confidence Interval -- Percent Error and Percent Difference -- Excel Tutorial: Performing Descriptive Statistics Using Excel -- Using Graphs to Display Data -- Line Graphs -- Bar Graphs -- Box Plots -- Error Bars -- Charts – What Not to Do -- Statistical Process Control & Process Control Charts -- Process Variation -- Making the Process Control Chart -- Example #1: Bullet Speeds All Data -- Example #2: Bullet Speeds with Narrower Specifications -- Linear Regression -- Performing Linear Regression -- Excel Tutorials: Performing Regression Analysis Using Excel -- Method 1: Using Excel Formulas -- Method 2: Using Excel Trendlines -- Method 3: Using Excel Data Analysis -- Example: Regression Analysis of Diameter Data -- Statistical Comparison of Two Regressed Slopes -- General Approach for Comparing Two Linearly Regressed Slopes -- Analysis Steps -- Example: Two Regressed Slopes that are Statistically Different -- Example Analysis: Regression Slope Comparison -- Example Two Regressed Slopes that are Not Statistically Different -- t-Tests -- Hypotheses -- Sample Collection and Determining Alpha -- Performing a t-test using Excel -- Interpret the Data -- References -- Writing -- The Writing Process -- Team Writing Strategies -- Meeting agendas and notes -- Agenda -- Notes -- Communication Components -- Abstract (or Summary) -- Background/Introduction -- Objective Statement -- Theory -- Methods -- Apparatus (or Equipment) -- Safety -- Experimental Protocol, Design, and Analysis -- Experimental Protocol -- Experimental Design -- Methods of Analysis -- Data Collection -- Results and Discussion -- Conclusions and Recommendations -- Sample Conclusion Paragraph -- References: Citing the work of others -- Citation Location -- Numerical Formatting -- Alphabetical Formatting -- Reference list/Bibliography -- Appendices -- Appendix -- Excel Tutorial: Using Equation Editor in Microsoft Word -- Step 1: Insert an Equation Region -- Step 2: Use Equation Tools Structures to Create Basic Equation Layout -- Step 3: Fill in the placeholders to complete the equation -- Cliff Notes/Shortcuts -- Excel Tutorial: Using Text Boxes -- Text Box Management: Three Examples -- VERSION 1: Textboxes Near Text Description -- VERSION 2: Textboxes at Bottom of Page -- VERSION 3: No Textboxes -- Excel Tutorial: Formatting Excel Charts for a Professional Look -- Templates -- Captions -- Inserting Symbols in Captions…”
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Algebra and Trigonometry 2e by Abramson, Jay

Table of Contents: “…Trigonometric Identities and Equations -- Introduction to Trigonometric Identities and Equations -- 9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions -- 9.2 Sum and Difference Identities -- 9.3 Double-Angle, Half-Angle, and Reduction Formulas -- 9.4 Sum-to-Product and Product-to-Sum Formulas -- 9.5 Solving Trigonometric Equations -- Chapter Review -- Exercises -- Chapter 10. …”
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The Essence of Mathematics Through Elementary Problems by Borovik, Alexandre, Gardiner, Tony

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Calculus in Context by Callahan, James, Cox, David, Hoffman, Kenneth

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