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An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors,including pre-med, engineering, and physics. Calculus II ForDummies offers expert instruction, advice, and tips to helpsecond semester calculus students get a handle on the subject andace their exams. It covers intermediate calculus topics in plain English,featuring in-depth coverage of integration, including substitution,integration techniques and when to use them, approximateintegration, and improper integrals. This hands-on guide alsocovers sequences and series, with introductions to multivariablecalculus, differential equations, and numerical analysis. Best ofall, it includes practical exercises designed to simplify andenhance understanding of this complex subject. Introduction to integration Indefinite integrals Intermediate Integration topics Infinite series Advanced topics Practice exercises Confounded by curves? Perplexed by polynomials? Thisplain-English guide to Calculus II will set you straight!
Calculus-2: Course in Mathematics for the IIT-JEE and Other Engineering Entrance Examinations is designed to help students master calculus for the coveted IIT-JEE, AIEEE, state-level engineering entrance exams and all other state senior secondary exams, in addition to the AISSSCE. The book adopts a well-defined, meticulously planned and smartly structured learning approach. It includes lecture-wise tests that help revise each completed lecture. It contains Speed Accuracy Sheets that improve the speed and accuracy of students and help them revise key concepts. It also provides innovative tips and tricks that are easy to apply and remember and includes solved Topic-Wise Question Banks to enhance the comprehension and application of concepts. This volume deals with indefinite integrals, definite integration and areas under curve, and differential equations.
Calculus 2, focusing on integral calculus, is the gateway to higher level mathematics of which the best degrees and careers are built upon. The core essentials can be used along with your text and lectures, as a review before testing, or as a memory companion that keeps key answers always at your fingertips. Suggested uses: * Quick Reference - instead of digging into the textbook to find a core answer you need while studying, use the guide to reinforce quickly and repeatedly * Memory - refreshing your memory repeatedly is a foundation of studying, have the core answers handy so you can focus on understanding the concepts * Test Prep - no student should be cramming, but if you are, there is no better tool for that final review
The second of a three-volume work, this is the result of the authors'experience teaching calculus at Berkeley. The book covers techniques and applications of integration, infinite series, and differential equations, the whole time motivating the study of calculus using its applications. The authors include numerous solved problems, as well as extensive exercises at the end of each section. In addition, a separate student guide has been prepared.
Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear functions to study more complicated nonlinear functions. In this way, many of the ideas, techniques, and formulas in the calculus of several variables are clarified and understood in a more conceptual way. After using this text a student should be well prepared for subsequent advanced courses in both algebra and linear differential equations as well as the many applications where linearity and its interplay with nonlinearity are significant. This second edition has been revised to clarify the concepts. Many exercises and illustrations have been included to make the text more usable for students.