A major challenge in writing a book on mathematics is to select appropriate topics and then present them with the necessary clarity. Another challenge is to motivate students in business and economics to study topics by convincingly demonstrating their power to deal with problems in areas of business and economics. These must be done without sacrificing anything in terms of the rigor and correctness of the mathematics itself. Keeping this in mind, the goal of this book is to help preparing students for academic courses: Mathematics for Business & Economics and Fundamental of Mathematics and then for the mathematical rigor of graduate economics by putting emphasis on its application. Specifically, mathematics is the backbone of economics and business in the sense that it forces learners to be very explicit about his or her assumptions and how s/he proves results by writing mathematical models. Furthermore, it helps establishing quantitatively causal links and to forecast the effects of policies and other economic phenomenon under conditions we might observe x causing y but also to what degree x can affect y. Particularly, calculus and dynamic programming for example enable economists to show how agents optimize their decisions over a time horizon and with uncertainty. Applications of mathematics in business and economics require the individuals to be creative and proficient in application of math techniques. It would not be overstated saying that without mathematics, all we could do is claim x causes y and not be able to show how it occurs except through vague wording and will still be unable to provide precise predictions as to how it works. Definitely, Mathematics is a problem solving subject and the key to succeeding in Mathematics is not to study Mathematics but working on mathematical problem solving. That raises question: what would be my advice on success? Answering question posed, I would suggest, in class, you simply need to pay attention to all work examples as it is expected to be shown by your class-teacher or from this textbook. And then you put your acquired knowledge into your solution working, covering a myriad variety of problems expected to be taken out from this course-book, all on your own. This textbook contains over 300 math-problems derived from subject areas of business & economics. Thus utilization of this book can serve you in multi-faucets: train you on the application of math-techniques, enhance your proficiency in the subject areas, which can be instrumental in your endeavors for better outcome. Finally, it is expected that students find this book useful as a guide to what they should expect to achieve; and professionals find this book as a resource in their professional endeavors.