Understanding College Mathematics
 |
Description
Book Introduction
This book is organized into eight chapters as follows:
Chapter 1 introduces the basics of mathematics and the Maxima program.
In Chapter 2, we learned about sets and functions, and in Chapter 3, we looked at the limits of sequences and functions.
Chapters 4 and 5 cover differentiation and its applications, Chapter 6 covers integration, and Chapter 7 covers vectors and matrices.
In Chapter 8, we looked at how to solve mathematical problems using the Maxima program.
This book focuses on the liberal arts level mathematics that college students should have.
After understanding the definition and summary of the text, students were guided to learn the calculation method and concepts through examples.
In addition, by introducing how to use Maxima, we also introduced a method to easily solve problems through the program, from basic operations and graphing to complex operations such as differentiation and integration.
Explanations of mathematical principles, along with various problems and programming applications, will broaden your understanding of mathematics and help you acquire university-level mathematical literacy.
Chapter 1 introduces the basics of mathematics and the Maxima program.
In Chapter 2, we learned about sets and functions, and in Chapter 3, we looked at the limits of sequences and functions.
Chapters 4 and 5 cover differentiation and its applications, Chapter 6 covers integration, and Chapter 7 covers vectors and matrices.
In Chapter 8, we looked at how to solve mathematical problems using the Maxima program.
This book focuses on the liberal arts level mathematics that college students should have.
After understanding the definition and summary of the text, students were guided to learn the calculation method and concepts through examples.
In addition, by introducing how to use Maxima, we also introduced a method to easily solve problems through the program, from basic operations and graphing to complex operations such as differentiation and integration.
Explanations of mathematical principles, along with various problems and programming applications, will broaden your understanding of mathematics and help you acquire university-level mathematical literacy.
index
Chapter 1: Foundations of Mathematics
1.
Definition of Mathematics
2.
Basic Logic of Mathematics
3.
Number system and properties
4.
Graph of the equation
5.
Math programs and Maxima
Chapter 2 Sets and Functions
1.
House
2.
Set operations
3.
Fundamental theorem of set operations
4.
Number of elements in a set and classical probability
5.
Definition of a function
6.
Function operations
7.
transcendental function
Chapter 3 Limits of Sequences and Functions
1.
Limit of a sequence
2.
water level
3.
Convergence and divergence test of a series
4.
limit of a function
5.
continuity of functions
Chapter 4 Differential Calculus
1.
Differentiation coefficients and derivatives
2.
Differential law
3.
Differentiation of transcendental functions
Chapter 5 Applications of Differential Calculus
1.
Mean value theorem and maximum and minimum of functions
2.
optimization problem
3.
linear approximation
4.
numerical methods
Chapter 6 Integration
1.
Definite and indefinite integrals
2.
Various integration methods
3.
Applications of definite integrals
4.
singular integral
Chapter 7 Matrices and Vectors
1.
Definition and operations of vectors
2.
Dot product of vectors
3.
Matrices and Operations
4.
Systems of linear equations and matrices
5.
Inverse matrix
6.
Determinant
7.
Inverse matrix and Cramer's rule
Chapter 8 Computer-Aided Mathematics
1.
Set operations
2.
Graphing a function
3.
Calculation of sequences and series
4.
Differentiation operation
5.
Operation of integral
6.
Matrix operations
References
Search
1.
Definition of Mathematics
2.
Basic Logic of Mathematics
3.
Number system and properties
4.
Graph of the equation
5.
Math programs and Maxima
Chapter 2 Sets and Functions
1.
House
2.
Set operations
3.
Fundamental theorem of set operations
4.
Number of elements in a set and classical probability
5.
Definition of a function
6.
Function operations
7.
transcendental function
Chapter 3 Limits of Sequences and Functions
1.
Limit of a sequence
2.
water level
3.
Convergence and divergence test of a series
4.
limit of a function
5.
continuity of functions
Chapter 4 Differential Calculus
1.
Differentiation coefficients and derivatives
2.
Differential law
3.
Differentiation of transcendental functions
Chapter 5 Applications of Differential Calculus
1.
Mean value theorem and maximum and minimum of functions
2.
optimization problem
3.
linear approximation
4.
numerical methods
Chapter 6 Integration
1.
Definite and indefinite integrals
2.
Various integration methods
3.
Applications of definite integrals
4.
singular integral
Chapter 7 Matrices and Vectors
1.
Definition and operations of vectors
2.
Dot product of vectors
3.
Matrices and Operations
4.
Systems of linear equations and matrices
5.
Inverse matrix
6.
Determinant
7.
Inverse matrix and Cramer's rule
Chapter 8 Computer-Aided Mathematics
1.
Set operations
2.
Graphing a function
3.
Calculation of sequences and series
4.
Differentiation operation
5.
Operation of integral
6.
Matrix operations
References
Search
GOODS SPECIFICS
- Date of issue: July 25, 2020
- Page count, weight, size: 336 pages | 188*257*30mm
- ISBN13: 9788920036699
- ISBN10: 8920036691
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