This course is an important public foundation course for all majors in the university, and the course mainly teaches the main content of linear algebra, statistics and probability. Through learning, students can master the basic ideas for system of linear equations, basic methods to deal with data sets, and the properties about probability, be able to deal with common problems in these fields, enable students to get comparative and systematic mathematical training, improve students' scientific quality, and prepare for the next stage of learning.
College Mathematics Series Courses II ——Linear algebra & probability and statistics
Southwest Petroleum University via XuetangX
Overview
Syllabus
- Chapter 7 Linear Algebra
- 7.1 Systems of Linear Equations
- 7.2 Row Echelon Form
- 7.3 Matrix Arithmetic
- 7.4 Matrix Algebra
- 7.5 Elementary Matrices
- 7.6 Determinants
- 7.7 Properties of Determinants
- 7.8 Additional Topics and Applications
- Chapter 8 Data Process
- 8.1&8.2 The Nature of Statistics & Simple Random Sampling
- 8.3 Variables and Data
- 8.4 Organizing Qualitative Data
- 8.5 Organizing Quantitative Data
- 8.6 Distribution Shapes
- 8.7 Measures of Center
- 8.8 Measures of Variation
- Chapter 9 Random Event and Probability
- 9.1 Sample Space and Events
- 9.2 Axioms of Probability
- 9.3 Some Simple Propositions
- 9.4 Sample Space Having Equally Likely Outcomes
- 9.5 Conditional Probability
- 9.6 Multiplication Rule
- 9.7 The Total Probability Theorem
- 9.8 Bayes' Formula
- 9.9 Independent Events
- Final Exam
Taught by
Nandy Luo, Yan Yang, Meng Zhou, and Wen Huang
