University Liberal Arts Mathematics Problem Solving Guide

Author: Yao Mengchen
Publisher:
Publish Date: 2005-11-01
Features: This book is a supplementary textbook for mathematics foundation courses in liberal arts majors at universities and colleges, designed to be used alongside the current "Brief Course in University Liberal Arts Mathematics" (Volumes I and II). The book is divided into three parts: Part "Calculus", Part "Linear Algebra", and Part "Probability and Statistics". Part "Calculus" is written in the first volume, which is divided into five chapters covering functions and limits, differential calculus of single-variable functions, mean value theorems and applications of derivatives, integral calculus of single-variable functions, and calculus of multivariable functions. Additional knowledge on infinite series and ordinary differential equations is introduced in the appendices. Parts "Linear Algebra" and "Probability and Statistics" are written in the second volume, which is divided into five chapters covering determinants, matrices, systems of linear equations, elementary probability theory, and the basics of mathematical statistics. The number of chapters and the order of content arrangement in each part are largely consistent with the. The book organizes content by section, summarizing key knowledge points. Each section is structured into three modules: "Content Summary," "Example Analysis," and "Exercises." Additionally, the book includes solutions and analyses for exercises at the end for reference.