Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There are two chapters on non-linear difference equations and on systems of two difference equations and two chapters on differential equations and on systems of differential equation.

We believe that calculus can be for students what it was for Euler and the Bernoullis: a language and a tool for exploring the whole fabric of science. We also believe that much of the mathematical depth and vitality of calculus lies in connections to other sciences. The mathematical questions that arise are compelling in part because the answers matter to other disciplines. We began our work with a "clean slate," not by asking what parts of the traditional course to include or discard. Our starting points are thus our summary of what calculus is really about. Our curricular goals are what we aim to convey about the subject in the course. Our functional goals describe the attitudes and behaviors we hope our students will adopt in using calculus to approach scientific and mathematical questions.

Students first discover what they want from their education, then build a plan to get there. This content takes students through the steps to successfully navigate their journey in higher education. Topics include planning for success, choosing a career path, setting and attaining goals, understanding financial management, developing critical thinking skills, making healthy choices, using effective communication, managing time, developing learning strategies, developing meaningful relationships. Content is available in PDF and Open Document formats and is licensed CC BY. Learning Objectives also are provided. Full course offering available at https://www.cengage.com/c/opennow-college-success-1e-opennow-cengage

Students first discover what they want from their education, then build a plan to get there. This content takes students through the steps to successfully navigate their journey in higher education. Topics include planning for success, choosing a career path, setting and attaining goals, understanding financial management, developing critical thinking skills, making healthy choices, using effective communication, managing time, developing learning strategies, developing meaningful relationships. Content is available in PDF and Open Document formats and is licensed CC BY. Learning Objectives also are provided. Full course offering available at https://www.cengage.com/c/opennow-college-success-1e-opennow-cengage

Students first discover what they want from their education, then build a plan to get there. This content takes students through the steps to successfully navigate their journey in higher education. Topics include planning for success, choosing a career path, setting and attaining goals, understanding financial management, developing critical thinking skills, making healthy choices, using effective communication, managing time, developing learning strategies, developing meaningful relationships. Content is available in PDF and Open Document formats and is licensed CC BY. Learning Objectives also are provided.

Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the book entails the description of classical numerical methods that are used to approximate the solution of partial differential equations. The focus is on discretization methods such as the finite difference, finite volume and finite element method. The manuscript also makes a short excursion to the solution of large sets of (non)linear algebraic equations that result after application of discretization method to partial differential equations. The book treats the construction of such discretization methods, as well as some error analysis, where it is noted that the error analysis for the finite element method is merely descriptive, rather than rigorous from a mathematical point of view. The last chapters focus on time integration issues for classical time-dependent partial differential equations. After reading the book, the reader should be able to derive finite element methods, to implement the methods and to judge whether the obtained approximations are consistent with the solution to the partial differential equations. The reader will also obtain these skills for the other classical discretization methods. Acquiring such fundamental knowledge will allow the reader to continue studying more advanced methods like meshfree methods, discontinuous Galerkin methods and spectral methods for the approximation of solutions to partial differential equations.

The following files accompany this module: 10_Exercises.xlsx

The following files accompany this module: 11_Examples.xlsx 11_Exercises.xlsx 11_GallupMarijuana.xlsx Student-t_tables.pdf Student-t_tables.xlsx z-values_AreaBetweenMean&X.pdf

This module is associated with Clear-Sighted Statistics: Module 13: Introduction to Null Hypothesis Significance Testing (NHST)

The following files accompany this module: z-Values_AreaBetweenMean&X.pdf z-Values_AreaBetweenMean&X.xlsx z-Values_CriticalValues_z_p-Values.pdf z-Values_CriticalValues_z_p-Values.xlsx Student-t_tables.pdf Student-t_tables.xlsx Finding_CVs_p-values.xlsx 14_Examples.xlsx 14_NHST_Workbook.xltx P-Value_Calculators.xlsx PowerTable.xltx

The following files accompany this module: z-Values_AreasBetweenMean&X.pdf z-Values_AreasBetweenMean&X.xlsx z-Values_CriticalValues_p-values.pdf z-Values_CriticalValues_p-values.xlsx Student-t_tables.pdf Student-t_tables.xlsx F-Distribution_.01.pdf F-Distribution_.01.xlsx F-Distribution_.05.pdf F-Distribution_.05.xlsx F-Curves.pdf t-Curves.pdf z-Curves.pdf p-values_Calculators.xlsx 15_Examples.xlsx 15_Exercises.xls

The following files accompany this module: F-Distribution_.01.pdf F-Distribution_.01.xls F-Distribution_.05.pdf F-Distribution_.05.xlsx p-value_Calculators.xlsx 16_Exercises.xlsx 16_ANOVA_Power_PostHoc.xlsx

The following files accompany this module: ChiSq_Distribution.xlsx ChiSq_Distribution.pdf p-value_Calculator.xlsx 17_ChiSq_Examples.xlsx 17_ChiSq_Exercises.xlsx

The following files accompany this module: Module18_Examples.xlsx Module18_Exercises.xlsx Student-t_table.xlsx Student-t_table.pdf

This file is associated with Clear-Sighted Statistics: Module 2: Picturing Data With Tables and Charts.

This file is associated with Clear-Sighted Statistics: Module 3: Picturing Data With Tables and Charts.

The following files accompany this module: 04_Exercises.xlsx 04_FreqDist.xlsx 04_M&Ms_Colors.xlsx

The following files accompany this module: 05_BoxAndWhisker.xlsx 05_CV_BigMac_Data.xlsx 05_DescriptiveStat-ToolPak 05_EstimatingMeanSD.xlsx 05_Exercises.xlsx 05_GeometricMean.xlsx 05_MAD.xlsx 05_M&M_Colors.xlsx 05_Mean_Outlier.xlsx 05_Median_Outlier.xlsx 05_Mode.xlsx 05_Percentiles_Quartiles.xlsx 05_Range.xlsx 05_TrimmedMean.xlsx 05_VAR_SD.xlsx 05_WgtMean_Frappachinos.xlsx