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2024年4月16日发(作者：quer是什么意思)
高等数学课程大纲英文
1. Matrices and Determinants
2. Vector Calculus
3. Multivariable Calculus
4. Differential Equations
5. Fourier Analysis
6. Complex Analysis
7. Applications of Differential Equations
8. Partial Differential Equations
9. Laplace Transform
10. Numerical Methods
1. In the Matrices and Determinants unit, students will
learn how to manipulate matrices and evaluate determinants to
solve systems of linear equations.
(在矩阵和行列式单元中，学生将学习如何操作矩阵和评估行列式
以解决线性方程组。)
2. The Vector Calculus unit will cover topics such as the
gradient, divergence, and curl of vector fields, as well as
line and surface integrals.
(向量微积分单元将涵盖向量场的梯度、散度、旋度，以及线性和
曲面积分等主题。)
3. The Multivariable Calculus unit will introduce
students to functions of several variables, partial
derivatives, and the gradient vector.
(多元微积分单元将向学生介绍多元函数、偏导数和梯度矢量等概
念。)
4. The Differential Equations unit will teach students
how to solve differential equations, including first-order
linear and nonlinear equations and higher-order linear
equations.
(微分方程单元将教授学生如何解决微分方程，包括一阶线性和非
线性方程以及高阶线性方程。)
5. In the Fourier Analysis unit, students will learn
about Fourier series, Fourier transforms, and applications in
signal processing and image analysis.
(在傅里叶分析单元中，学生将学习傅里叶级数、傅里叶变换以及
在信号处理和图像分析中的应用。)
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