Module 22: Judgment and Reasoning No matter which public topic you discuss or which personal aspect you worry about – you need reasons for your opinion and argumentation. Moreover, the ability of reasoning is responsible for your cognitive features of decision making and choosing among alternatives. Everyone uses these two abilities in everyday life to the utmost. Let us, therefore, consider one more scene of Perry's life: It is again a rainy afternoon and Perry is tired of observing the black crows in his garden and decides to escape from the shabby weather and spend his mid-semester break in Mexico. Perry has never been to Mexico before and is pretty excited. He will leave the next day; thus, he begins packing his bag. The crucial things first: some underwear, some socks, a pair of pajamas and his wash bag with a toothbrush, shampoo, soap, sunscreen, and bug spray. But, Perry cannot find the bug spray until his friend, Terry, tells him that he lost it and will buy him a new bottle. Terry advises Perry to take an umbrella for the way to the corner store as it is raining outside before he turns back to his packing task. But what did he already pack into his bag? Immediately, he remembers and continues, packing his clothing into the bag, considering that each piece fits another one and finally his iPod as he exclusively listens to music with this device. Since he is going on somewhere warm, Perry specifically packs shorts and T-Shirts into his bag. After approximately half an hour, he is finally convinced that he has done everything necessary for having some fine holidays. Using Perry's vacation preparation, we will explain the basic principles of reasoning and decision making.

Module 23: Decision Making According to the different levels of consequences, each process of making a decision requires appropriate effort and various aspects to be considered. The following excerpt from the story about Perry makes this obvious: “After considering facts like the warm weather in Mexico and shirts and shorts being much more comfortable in this case (information gathering and likelihood estimation) Perry reasons that he needs them for his vacation. In consequence, he finally makes the decision to pack mainly shirts and shorts in his bag (final act of choosing).” Now it seems like there cannot be any decision making without previous reasoning, but that is not true. Of course, there are situations in which someone decides to do something spontaneously, with no time to reason about it. We will not go into detail here, but you might think about questions like "Why do we choose one or another option in that case?"

Students and professionals in science, design and technology have to develop and communicate concepts that are often difficult to comprehend for the public, their peers and even themselves.

IMAGE | ABILITY – Visualizing the Unimaginable, will help you enhance your communication and interpersonal skills and provide insight, tips and tricks to make such complex and seemingly unimaginable concepts and ideas imaginable.

After finishing this course you will be more skilled in finding the right visual language to convey your ideas, thoughts and vision. You will be able to illustrate units and quantities, concepts and themes and you will know how to unravel complexity by using diagrams and schemes.

The standard citation style guide book for the fields of business, education, health science, public service, and social science is the Publication Manual of the American Psychological Association, 6th edition, 2010. The American Psychological Association (APA) publishes the manual. We commonly refer to it as "the APA Manual".

The business, education, health science, public service, and social science departments at IRSC recommend APA format for papers written in these fields.

Two types of citations are included in most research papers: citations within the text of the document and a list of reference citations at the end of the paper.

In-Text Citations:

The APA Manual uses the author-date citation system for in-text citations.

Reference Citations:

The sources you use in your work are included as a separate list at the end of the paper. The APA Manual suggests using the title, References, for the list.

APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text. This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size.

This is a quick guide to help students differenciate the terms APR and APY.  There are formulas presented to help students calculate APY given certain parameters of investments.  The guide also presents formulas to allow students to calculate APY outside of the traditional one year examples.

This book is designed to make "Abstract Algebra" as down-to-earth as possible. Using concrete examples such as the complex numbers, integers mod n, polynomials, symmetries, and permutations. We also introduce some of the beautifully general ideas of the theory of groups, rings, and fields. Along the way, we give applications to signal processing, cryptography and coding theory, as well as making connections with other branches of mathematics such as geometry and number theory.

The textbook is provided in three different formats: hyperlinked online version, pdf, and spiral bound copy (printme1.com is recommended for on-demand printing).

This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

Computer applications links for Access practice and activities in MISY 2305 Computer Applications in Business.

The course treats the following topics: - Relevant physical oceanography - Elements of marine geology (seafloor topography, acoustical properties of sediments and rocks) - Underwater sound propagation (ray acoustics, ocean noise) - Interaction of sound with the seafloor (reflection, scattering) - Principles of sonar (beamforming) - Underwater acoustic mapping systems (single beam echo sounding, multi-beam echo sounding, sidescan sonar) - Data analysis (refraction corrections, digital terrain modelling) - Applications (hydrographic survey planning and navigation, coastal engineering) - Current and future developments.

Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Illustrates the difference in using active voice vs passive voice to express the same idea.