{"product_id":"zill-first-course-differential-equations-12th-edition-hardcover","title":"A First Course in Differential Equations with Modeling Applications, 12th Ed (Hardcover)","description":"\u003cp\u003e\u003cstrong\u003eA First Course in Differential Equations with Modeling Applications, 12th Edition, by Dennis G. Zill is the Cengage hardcover textbook for a first undergraduate course in ordinary differential equations, built around worked examples and modeling problems from physics, engineering, and biology.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eZill’s text has been the standard for sophomore-level differential equations for a generation of engineering and math students. It moves from first-order equations through higher-order linear equations, series solutions, Laplace transforms, systems of linear first-order equations, and numerical methods, with modeling applications woven through rather than bolted on at the end. The 12th Edition retains the Remarks boxes, abundant examples, and clear definitions the book is known for, with refreshed exercise sets.\u003c\/p\u003e\n\u003ch2\u003eWhat's included\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003eA First Course in Differential Equations with Modeling Applications, 12th Edition, by Dennis G. Zill\u003c\/li\u003e\n\u003cli\u003eHardcover, new\u003c\/li\u003e\n\u003cli\u003ePublisher: Cengage\u003c\/li\u003e\n\u003cli\u003eWorked examples, Remarks boxes, chapter reviews, and modeling projects\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eWebAssign access is not included with this printed textbook.\u003c\/p\u003e\n\u003ch2\u003eWho it's for\u003c\/h2\u003e\n\u003cp\u003eEngineering, physics, mathematics, and applied science majors taking their first differential equations course after Calculus II; students in self-paced or online programs who want a hardcover that will survive a semester of daily use; and instructors who need a reference copy. It is also a solid review text for FE exam candidates revisiting ODE topics.\u003c\/p\u003e\n\u003ch2\u003eWhy this edition\u003c\/h2\u003e\n\u003cp\u003eThe 12th Edition is the current edition of Zill’s First Course, and most syllabi that list Zill now cite it. Exercise numbering changes between editions, so if your homework is assigned from the 12th, an older copy will not line up. The hardcover binding matters for a book that gets opened flat on a desk hundreds of times.\u003c\/p\u003e\n\u003ch2\u003eFrequently asked questions\u003c\/h2\u003e\n\u003ch3\u003eIs this the same book as Zill’s Differential Equations with Boundary-Value Problems?\u003c\/h3\u003e\n\u003cp\u003eNo. A First Course covers ordinary differential equations only. Boundary-Value Problems is the longer version that adds partial differential equations and boundary-value chapters.\u003c\/p\u003e\n\u003ch3\u003eWhat math do I need before using this book?\u003c\/h3\u003e\n\u003cp\u003eSingle-variable calculus through integration techniques. Some sections use basic linear algebra, which the text reviews as needed.\u003c\/p\u003e\n\u003ch3\u003eDoes the 12th Edition include a solutions manual?\u003c\/h3\u003e\n\u003cp\u003eNo. The Student Solutions Manual is a separate Cengage publication.\u003c\/p\u003e\n\u003ch2\u003eDetails\u003c\/h2\u003e\n\u003ctable\u003e\u003ctbody\u003e\n\u003ctr\u003e\n\u003cth\u003eTitle\u003c\/th\u003e\n\u003ctd\u003eA First Course in Differential Equations with Modeling Applications\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003cth\u003eEdition\u003c\/th\u003e\n\u003ctd\u003e12th Edition\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003cth\u003eFormat\u003c\/th\u003e\n\u003ctd\u003eHardcover\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003cth\u003ePublisher\u003c\/th\u003e\n\u003ctd\u003eCengage\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003cth\u003eCondition\u003c\/th\u003e\n\u003ctd\u003eNew\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/tbody\u003e\u003c\/table\u003e","brand":"Cengage","offers":[{"title":"Default Title","offer_id":67971818291509,"sku":null,"price":90.24,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1006\/7410\/9749\/files\/FIRSTCOURCE.webp?v=1793133564","url":"https:\/\/nfpabooks.com\/products\/zill-first-course-differential-equations-12th-edition-hardcover","provider":"NFPABooks.com","version":"1.0","type":"link"}