Calculus / 微积分
Master derivatives, integrals, and differential equations. This comprehensive course covers everything from limits to advanced integration techniques.
Course Content / 课程内容
1
Limits and Continuity / 极限与连续
12 lessons
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Introduction to Limits
Limit Laws
Continuity
Infinite Limits
2
Derivatives / 导数
15 lessons
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Definition of Derivative
Power Rule
Product & Quotient Rules
Chain Rule
3
Applications of Derivatives / 导数应用
10 lessons
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Maxima and Minima
Curve Sketching
Related Rates
Optimization
4
Integrals / 积分
14 lessons
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Antiderivatives
Definite Integrals
Substitution Rule
Integration by Parts
5
Applications of Integrals / 积分应用
8 lessons
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Area Between Curves
Volumes
Work
Average Value
6
Differential Equations / 微分方程
10 lessons
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Separable Equations
Linear Equations
Modeling with DEs
Course Resources / 课程资源
Lecture Notes
Download comprehensive notes for all chapters
Practice Problems
Extensive problem sets with solutions
Video Tutorials
Watch detailed video explanations