MARC details
| 000 -LEADER |
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| fixed length control field |
04414nam a2200361 4500 |
| 001 - CONTROL NUMBER |
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| control field |
OTLid0000245 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20201105133310.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d s |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180907s2015 mnu o 0 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MnU |
| Language of cataloging |
eng |
| Transcribing agency |
MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA37.3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Tradler, Thomas |
| Relator term |
author |
| 245 00 - TITLE STATEMENT |
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| Title |
Precalculus |
| Statement of responsibility, etc. |
Thomas Tradler |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
Open Textbook Library |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
CUNY Academic Works |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
I Functions and graphs -- 1 The absolute value -- 2 Lines and functions -- 3 Functions by formulas and graphs -- 4 Introduction to the TI-84 -- 5 Basic functions and transformations -- 6 Operations on functions -- 7 The inverse of a function -- II Polynomials and rational functions -- 8 Dividing polynomials -- 9 Graphing polynomials -- 10 Roots of polynomials -- 11 Rational functions -- 12 Polynomial and rational inequalities -- III Exponential and logarithmic functions -- 13 Exponential and logarithmic functions -- 14 Properties of exp and log -- 15 Applications of exp and log -- 16 Half-life and compound interest -- IV Trigonometric functions -- 17 Trigonometric functions -- 18 Addition of angles and multiple angles -- 19 Inverse trigonometric functions -- 20 Trigonometric equations -- V Complex numbers, sequences, and the binomial theorem -- 21 Complex numbers -- 22 Vectors in the plane -- 23 Sequences and series -- 24 The geometric series -- 25 The binomial theorem |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems. This course in precalculus has the overarching theme of "functions." This means that many of the often more algebraic topics studied in the previous courses are revisited under this new function theoretic point of view. However, in order to keep this text as self contained as possible we always recall all results that are necessary to follow the core of the course even if we assume that the student has familiarity with the formula or topic at hand. After a first introduction to the abstract notion of a function, we study polynomials, rational functions, exponential functions, logarithmic functions, and trigonometric functions with the function viewpoint. Throughout, we will always place particular importance to the corresponding graph of the discussed function which will be analyzed with the help of the TI-84 calculator as mentioned above. These are in fact the topics of the first four (of the five) parts of this precalculus course. In the fifth and last part of the book, we deviate from the above theme and collect more algebraically oriented topics that will be needed in calculus or other advanced mathematics courses or even other science courses. This part includes a discussion of the algebra of complex numbers (in particular complex numbers in polar form), the 2-dimensional real vector space R 2 sequences and series with focus on the arithmetic and geometric series (which are again examples of functions, though this is not emphasized), and finally the generalized binomial theorem. |
| 542 1# - INFORMATION RELATING TO COPYRIGHT STATUS |
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| Copyright statement |
Attribution-NonCommercial-ShareAlike |
| 546 ## - LANGUAGE NOTE |
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| Language note |
In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Description based on online resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| Form subdivision |
Textbooks |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Carley, Holly |
| Relator term |
author |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
Open Textbook Library |
| Relator term |
distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://open.umn.edu/opentextbooks/textbooks/245">https://open.umn.edu/opentextbooks/textbooks/245</a> |
| Public note |
Access online version |
