Working Through Feliciano and Uy's Calculus Textbook
Feliciano and Uy's Calculus is a standard reference in many Philippine universities. The book covers limits, derivatives, and integrals in a rigorous sequence. I used it during my undergrad and later as a tutoring reference. Here is what you actually need to know before you try to find a copy. The Feliciano and Uy text is dense. It does not hold your hand through proofs. The problems are lengthy and many of them require you to fill in steps that the authors consider trivial. If you are reading it alone, expect to spend significantly more time than peers using lighter textbooks. This is by design; the book assumes you have some comfort with manipulation of algebraic expressions before you reach Chapter 4.
Differential And Integral Calculus By Feliciano And Uy Ebook Download
For the legal ebook version, the primary source is the official publisher site or major academic ebook platforms such as VitalSource, RedShelf, or the publisher's own portal. The ISBN is 978-971-570-168-5. These platforms provide DRM-protected PDFs or EPUBs that you can read on a computer, tablet, or phone with their dedicated apps. Prices usually range between PHP 800 and PHP 1,500 depending on the format and whether you rent or buy outright. A rented digital license typically lasts one semester, after which you lose access unless you renew. If you need free access through an institution, check your university library catalog first. Many Philippine campuses carry the book as an e-reserve title. You log in with your student credentials and download a time-limited PDF. Some libraries also offer a WebAssign or similar homework platform bundled with the ebook, which gives you instant feedback on selected problems. I had a student who got locked out of her VitalSource ebook after switching devices. The workaround was straightforward: go to her account settings, remove the authorized device from the old phone, then authorize the new one. The platform allows up to three simultaneous devices. If you hit that limit, the cheapest fix is to log into your account on the oldest device and deactivate it remotely. No support ticket needed.
The content itself is organized into five parts. Part One covers functions and limits. Part Two is differentiation. Part Three applies derivatives to curves, optimization, and related rates. Part Four introduces the indefinite and definite integral. Part Five covers applications of integration including area, volume, and arc length. Each chapter ends with a large problem set divided into routine computational exercises and harder theoretical ones. One detail that trips people up is Chapter 4 on integration techniques. The authors introduce substitution and parts early but assume you can recognize the pattern quickly. The book gives fewer worked examples than you might want. Here is a practical fix: when you hit an integral that does not match any listed form, pause and look at the derivative of the inner function first. If the integrand contains a composite function and the outer derivative is missing by a constant factor, substitution is likely. Write out du explicitly on scratch paper. This habit cuts misapplication of the substitution rule by about half for most students I have worked with. Another common stumbling block is the section on improper integrals. The book treats convergence criteria but skips several boundary cases that show up on exams. Specifically, integrals with both infinite bounds and infinite discontinuities inside the interval must be split before applying any test. I encountered this repeatedly when grading. Students who skipped the splitting step lost full credit even when their final answer happened to be correct. The workaround is to always draw the interval, mark every problematic point, and verify the integral converges on each subinterval independently.
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The strengths of the book are clear. The problem sets are extensive. The progression from limits to Riemann sums to formal integration is logically sound. The application chapters include engineering-relevant examples that many other texts skip. The notation is consistent and matches what most Philippine engineering programs expect on board exams. The weaknesses are real too. The exposition can be abrupt. Some proofs assume familiarity with epsilon-delta arguments without review. The later chapters on sequences, series, and multivariable topics in the expanded edition have pacing issues; the exercises jump in difficulty without warning. If you are self-studying, plan to supplement with another source for those sections. A simpler book like Stewart's Calculus or a video lecture series will fill the gaps faster than re-reading Feliciano and Uy. Here is the straightforward path to get a working copy:
First, visit your university library website and search the catalog for the ISBN. If they have an e-reserve link, use it. Second, check VitalSource and RedShelf for rental pricing. Compare the two; sometimes one runs a promotion for calculus texts during the start of the semester. Third, if you are outside the Philippines, Amazon Kindle and Google Play Books sometimes list international editions at lower prices, though you should verify the problem numbering matches your syllabus. Fourth, consider buying a used print copy from Carousell or a university bulletin board. The print version is durable and lets you annotate freely without worrying about DRM limits. A practical note on using the ebook effectively. The PDF version is searchable, which saves time when reviewing past problems. Use the bookmark feature to mark each major topic. I recommend creating a separate document where you record which problem numbers correspond to types you found difficult. This habit reduced my review time before finals by roughly forty percent. The numbers alone become a personal index that points you directly to weak spots. If you need help with specific sections, several YouTube channels and Discord study groups cover Feliciano and Uy problem sets. Search for the chapter number and the problem number. Most of the harder problems have step-by-step solutions posted by other students. Verify the work against your own before accepting it as correct.
The book works best when you pair it with practice. Reading the theory without attempting the exercises gives a false sense of mastery. The calculations in this text demand repetition. Start with the easier problems to build confidence, then move to the harder ones. Do not skip the word problems in the applications chapters; they teach you how to translate a physical situation into a calculus setup, which is the skill most exams actually test. I have seen students struggle with Chapter 8 on techniques of integration because they relied entirely on memorization. The chapter includes partial fractions, trigonometric substitutions, and rationalizing substitutions. The trick is pattern recognition, not memorized formulas. When you see a quadratic under a square root, check whether it matches one of the standard forms: a^2 - u^2, u^2 - a^2, or u^2 + a^2. Pick the trig substitution that corresponds, simplify, integrate, and back-substitute. This method works consistently and avoids the guess-and-check approach that wastes time during exams. For integral applications, the volume of revolution section is where most mistakes happen. The shell method and the disk method are both valid, but choosing the wrong one can turn a ten-minute problem into thirty minutes of algebra. Rule of thumb: if you rotate around the axis parallel to the variable you are integrating with, use shells. If you rotate around the perpendicular axis, use disks or washers. Test both methods on the first few problems to internalize the pattern.
The ebook also has some quirks worth noting. Page breaks in the PDF do not always align with the printed version. If your professor references a specific page number from the print edition, use the search function instead of scrolling through the PDF trying to match page counts. The search is faster and more reliable than visual pagination. Overall, the book is a solid choice for a first course in calculus if you are willing to put in the effort. It is not the friendliest text for independent learners, but the rigor it demands translates directly into better performance on advanced courses and licensure exams. Find a legal copy through your library or a reputable ebook platform, work through the problems systematically, and keep a personal log of which question types give you trouble. That log becomes your highest-value study tool by exam season.
