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2021 | Buch

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Precalculus

Practice Problems, Methods, and Solutions

verfasst von: Dr. Mehdi Rahmani-Andebili

Verlag: Springer International Publishing

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

This study guide is designed for students taking courses in precalculus. The textbook includes practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student’s problem-solving skills and basic understanding of the topics covered in their pre-calculus and calculus courses.

Exercises cover a wide selection of basic and advanced questions and problems;Categorizes and orders the problems based on difficulty level, hence suitable for both knowledgeable and under-prepared students;Provides detailed and instructor-recommended solutions and methods, along with clear explanations;Can be used along with core precalculus textbooks.

Inhaltsverzeichnis

Frontmatter

Chapter 1. Problems: Real Number Systems, Exponents and Radicals, and Absolute Values and Inequalities

Abstract

In this chapter, the basic and advanced problems of real number systems, exponents, radicals, absolute values, and inequalities are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.

Mehdi Rahmani-Andebili

Chapter 2. Solutions of Problems: Real Number Systems, Exponents and Radicals, and Absolute Values and Inequalities

Abstract

In this chapter, the problems of the first chapter are fully solved, in detail, step-by-step, and with different methods.

Mehdi Rahmani-Andebili

Chapter 3. Problems: Systems of Equations

Abstract

In this chapter, the basic and advanced problems of systems of equations are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.

Mehdi Rahmani-Andebili

Chapter 4. Solutions of Problems: Systems of Equations

Abstract

In this chapter, the problems of the third chapter are fully solved, in detail, step-by-step, and with different methods.

Mehdi Rahmani-Andebili

Chapter 5. Problems: Quadratic Equations

Abstract

In this chapter, the basic and advanced problems of quadratic equations are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.

Mehdi Rahmani-Andebili

Chapter 6. Solutions of Problems: Quadratic Equations

Abstract

In this chapter, the problems of the fifth chapter are fully solved, in detail, step-by-step, and with different methods.

Mehdi Rahmani-Andebili

Chapter 7. Problems: Functions, Algebra of Functions, and Inverse Functions

Abstract

In this chapter, the basic and advanced problems of functions, algebra of functions, and inverse functions are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.

Mehdi Rahmani-Andebili

Chapter 8. Solutions of Problems: Functions, Algebra of Functions, and Inverse Functions

Abstract

In this chapter, the problems of the seventh chapter are fully solved, in detail, step-by-step, and with different methods.

Mehdi Rahmani-Andebili

Chapter 9. Problems: Factorization of Polynomials

Abstract

In this chapter, the basic and advanced problems of factorization of polynomials are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.

Mehdi Rahmani-Andebili

Chapter 10. Solutions of Problems: Factorization of Polynomials

Abstract

In this chapter, the problems of the ninth chapter are fully solved, in detail, step-by-step, and with different methods.

Mehdi Rahmani-Andebili

Chapter 11. Problems: Trigonometric and Inverse Trigonometric Functions

Abstract

In this chapter, the basic and advanced problems of trigonometric and inverse trigonometric functions are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.

Mehdi Rahmani-Andebili

Chapter 12. Solutions of Problems: Trigonometric and Inverse Trigonometric Functions

Abstract

In this chapter, the problems of the 11th chapter are fully solved, in detail, step-by-step, and with different methods.

Mehdi Rahmani-Andebili

Chapter 13. Problems: Arithmetic and Geometric Sequences and Series

Abstract

In this chapter, the basic and advanced problems of arithmetic and geometric sequences and series are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Moreover, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.

Mehdi Rahmani-Andebili

Chapter 14. Solutions of Problems: Arithmetic and Geometric Sequences and Series

Abstract

In this chapter, the problems of the 13th chapter are fully solved, in detail, step-by-step, and with different methods.

Mehdi Rahmani-Andebili

Backmatter

Titel: Precalculus
verfasst von: Dr. Mehdi Rahmani-Andebili
Verlag: Springer International Publishing
Electronic ISBN: 978-3-030-65056-8
Print ISBN: 978-3-030-65055-1
DOI: https://doi.org/10.1007/978-3-030-65056-8

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