How about the book Advanced Math Prerequisites? Chemical Industry Press out 20

Executive Summary:

The book basically covers the elementary mathematics content required in Advanced Mathematics. The book is divided into eight chapters according to the order of elementary mathematics, Chapter 1 Algebraic Formulas, Chapter 2 Equations and Inequalities, Chapter 3 Function Concepts and Quadratic Functions, Chapter 4 Exponential Functions and Logarithmic Functions, Chapter 5 Number Sequences, Chapter 6 Trigonometric Functions, Chapter 7 Plane Analytic Geometry, and Chapter 8 Introduction to Complex Numbers. Each chapter is followed by a selection of exercises, and at the end of the book the answers to the exercises and hints for the proofs.

This book is concise and concise, which can supplement the preparatory knowledge required for the study of Advanced Mathematics in a relatively short time.

This book is suitable for students from various colleges and universities; It is used for self-study or group tutoring of elementary mathematics by students of various national higher education self-study examinations, students of online colleges, and students of radio and television universities.

Table of Contents: Chapter 1 Algebraic Formulas.

Section 1 Multiplication Formulas.

Section 2 Factorization.

Section 3 Fractions.

Section 4 Radical Formula.

Chapter 2 Equations and Inequalities.

Section 1 Unary Equations.

Section 2 Unary Quadratic Equations.

Section 3 Fractional Equations.

Section 4 Systems of Equations.

Section 5 Inequality.

Chapter 3 Function Concepts and Quadratic Functions.

Section 1: The Concept of Functions.

Section 2 Primary Functions and Inverse Proportional Functions.

Section 3 Quadratic Functions.

Chapter 4 Exponential Functions and Logarithmic Functions.

Section 1 Exponents and logarithms.

Section 2 Exponential Functions.

Section 3 Logarithmic Functions.

Chapter 5 Number Series.

Section 1 The Concept of Sequences.

Section 2 Equal Difference Series, Proportional Series.

Section 3 Mathematical Induction.

Chapter 6 Trigonometry.

Section 1 The Concept of Trigonometric Functions.

Section 2 Trigonometric Transformations.

Section 3 Images and Properties of Trigonometric Functions.

Section 4 Inverse Trigonometric Functions.

Chapter 7 Plane Analytic Geometry.

Section 1 Straight Lines.

Section 2 Conic Curves.

Section 3 Parametric Equations and Polar Coordinates.

Chapter 8 Introduction to Plurals.

Tips and answers for the exercises.

It was easy at first, and then it was difficult, but I started watching -in my third year of junior high school

It is enough to use the advanced mathematics knowledge of Tongji University to fully understand, and the textbooks of Tongji University are also used when entering graduate school, this tutorial book is matched with the textbooks of Tongji University, the content is comprehensive, and some of the high mathematics of the Chemical Industry Press may not be involved, but you can pick what you need to see.

What is used in the computer seems to be the content of the calculus part and the series. If you want to learn advanced mathematics, first buy a book on advanced mathematics preparatory knowledge, which has some key content that will be encountered in advanced mathematics, such as formulas, such as concepts, and basic diagrams. If you're going to study on your own, it's best to buy a book that self-studies the exam.

Hello, Xueba's learning method, give you some ideas, I hope it can help you.

1. First of all, plan your time. Subdivide the time phases (mainly after class, follow the teacher in class, listen carefully, don't forget to take notes, note: class notes are not for you to blindly remember, but the key points and what you don't understand, there are in the books, mark it, there is no simple record, and then systematically organize it after class, don't affect the lecture in order to take notes).

What to do in each time period, it can be long-term or short-term, you have to have. The process of planning time is also the process of determining learning goals, and it must be taken seriously.

2. Speed reading is an efficient learning method, which requires a combination of eyes, brain, ears and hands. Speed reading cultivates students to directly convert the words and symbols perceived by the visual organs into meaning, eliminate the potential vocalization phenomena in the mind, form a direct reflection of the eyes and brain, and combine it with memory training to improve learning efficiency. Some scholars recommend "Elite Speed Reading and Memory Training" as a holiday student learning plan, using the software to practice for 30 hours can increase the reading speed by about 5-10 times, learning to practice 1-2 hours a day, two weeks can achieve good results, memory, thinking and other aspects are also correspondingly rapid improvement.

At present, many classes in our school carry out holiday speed reading shorthand training courses, using the elite special speed reading memory training system.

3. Doing exercises is the best way to check your learning and review mastery. Be selective when doing the questions, and don't just do them aimlessly. At the same time, it is necessary to pay attention to doing questions, and it is best to organize a book that is easy to make mistakes.

You can do one or two sets of mock questions in the early stage of the exam, and you should limit the time and follow the standard exam.

Advanced Mathematics Volume II Second Edition Chemical Industry Press Ye Weiyin Luo Dingjun Answers

Detailed explanations of advanced mathematics examples

You first have to have an awareness that there is no such thing as being able or not. Mathematics is a version of itself.

It is from the foundation that has developed step by step to the present day, and at least three mathematical crises have been solved on the foundation, and the axioms that are considered axioms have been taken for granted to be correct, leading to unexplained contradictions. So my suggestion is to at least look at the high school textbooks (the questions in the books will be done, it's almost the same), and if you are interested, you can take a look at the high school teaching aids, which are freezing three feet, not a day's cold. The one above said that he never read books and took the 90 exam is pure nonsense, and the last class of college is to mark the key points, that is, to tell you most of the questions, and you are worried about not getting the answer after telling you the topic?

Follow-up question: This is more pertinent, and thousands of high-rise buildings rise from the ground. I bought a copy of the Advanced Mathematics Prerequisites to review the middle and high school systems.

It is said that this book is good and suitable for people with a poor foundation in high school. It's okay to spend a little more time. Thank you for leaving me with the illusion of higher mathematics.

Answer: If it is the pursuit of high mathematics, we are also fellow practitioners, our teacher only taught the indefinite integral and then did not teach, I have almost forgotten about it, let's work together. Follow-up:

It is recommended that you buy the Advanced Mathematics Preparatory Knowledge Course for 12 yuan.

I used it with great effect, compare the system.

The systematic description of algebraic formulas; equation inequalities; Functions vs. Quadratic Functions; exponential and logarithmic functions; Sequence; Trigonometric function; Plane analytic geometry.

Just check it out at the bookstore!

Probability Theory and Mathematical Statistics is a mathematics discipline that studies and reveals the statistical regularity of random phenomena, and is a compulsory public basic course for undergraduates majoring in science and engineering, economics and management, and literature, and is an important part of postgraduate mathematics. This course requires the foundation of Advanced Mathematics (or Calculus), and also prepares students for senior professional courses and mathematics courses at the master's and doctoral levels, and is generally offered in the third semester.

Taking Probability Theory and Mathematical Statistics (Higher Education Press, Fourth Edition) edited by Sheng Su et al. as an example, the basic requirement for the postgraduate entrance examination is the hypothesis testing of parameters in the first seven chapters and the eighth chapter. Different schools and majors have their own emphasis or extension of teaching content due to the number of hours.

If you don't have a solid foundation in Advanced Mathematics (or Calculus), it's a good idea to do a good review before the start of the course (or if it's too late, at least spread it out before you study the chapters), otherwise calculus will become an obstacle to your learning of probability and statistics. In fact, all the very basic knowledge and operations in calculus are used. The following is the prerequisites for each chapter of Probability and Statistics for your reference.

The first chapter, "Basic Concepts of Probability Theory", deals with the relations and operations of sets, as well as the knowledge of permutations and combinations.

Chapter 2, "Random Variables and Their Distributions", uses the basic operations of definite integrals (including generalized integrals over infinite intervals), the additivity of definite integrals to integral intervals, and especially the definite integral operations when the integrand function is a piecewise function.

Chapter 4 "Numerical Characteristics of Random Variables" uses the basic operation of summing several term series, definite integrals (including generalized integrals on infinite intervals), and double integrals. When talking about n-dimensional random variables, the notation of matrix operations in "Linear Algebra" is used, but it is only mentioned slightly, which is to prepare for in-depth study in the future, and is generally not the focus of the exam.

Chapter 5, "The Law of Large Numbers and the Central Limit Theorem", uses the concept of limits to define the convergence of random variable sequences and the convergence of function sequences with the help of sequence limits.

Chapter 6, "Samples and Sample Distributions," requires little knowledge of Advanced Mathematics (or Calculus).

In Chapter 7 "Parameter Estimation", the moment estimation part uses the summation of several term series, definite integrals (including generalized integrals on infinite intervals), and the maximum likelihood estimation part uses the basic operations of the properties of logarithmic operations, derivatives (including partial derivatives), and extreme points.

Chapter 8, "Hypothesis Testing", does not use knowledge of Advanced Mathematics (or Calculus).

In addition to the knowledge base of elementary mathematics and calculus, the knowledge points of each chapter of the course are also interlocking. For example, learning Chapter 2 "Random Variables and Their Distributions" will be of great help to grasp many concepts or basic relationships in Chapter 3 "Multidimensional Random Variables and Their Distributions". Calculatingly, as long as you pass the third chapter, you will no longer have difficulty studying the subsequent chapters.

In short, it is important to take the initiative at the beginning of studying Probability Theory and Mathematical Statistics. After you get started, as you learn more, you will gradually find that random math is a new world full of special charm!