油管2000万人都在看的微积分课，中文版来了｜全程手写【计算机-大一上】

名校课程-顶级中配

合集 · 数学基础 (34)

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Parts

  1. P1 · [中文] Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Form
  2. P2 · [中文] Calculus 1 Lecture 0.2: Introduction to Functions.
  3. P3 · [中文] Calculus 1 Lecture 0.3: Review of Trigonometry and Graphing Trigonometric
  4. P4 · [中文] Calculus 1 Lecture 0.4: Combining and Composition of Functions
  5. P5 · [中文] Calculus 1 Lecture 1.1: An Introduction to Limits
  6. P6 · [中文] Calculus 1 Lecture 1.2: Properties of Limits. Techniques of Limit Computa
  7. P7 · [中文] Calculus 1 Lecture 1.4: Continuity of Functions
  8. P8 · [中文] Calculus 1 Lecture 1.5: Slope of a Curve, Velocity, and Rates of Change
  9. P9 · [中文] Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function
  10. P10 · [中文] Calculus 1 Lecture 2.2: Techniques of Differentiation (Finding Derivatives
  11. P11 · [中文] Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of
  12. P12 · [中文] Calculus 1 Lecture 2.4: Applications of the Derivative
  13. P13 · [中文] Calculus 1 Lecture 2.5: Finding Derivatives of Trigonometric Functions
  14. P14 · [中文] Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Fu
  15. P15 · [中文] Calculus 1 Lecture 2.7: Implicit Differentiation
  16. P16 · [中文] Calculus 1 Lecture 2.8: Related Rates
  17. P17 · [中文] Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions
  18. P18 · [中文] Calculus 1 Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Val
  19. P19 · [中文] Calculus 1 Lecture 3.3: The First Derivative Test for Increasing and Decre
  20. P20 · [中文] Calculus 1 Lecture 3.4: The Second Derivative Test for Concavity of Functi
  21. P21 · [中文] Calculus 1 Lecture 3.5: Limits of Functions at Infinity
  22. P22 · [中文] Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions
  23. P23 · [中文] Calculus 1 Lecture 3.7: Optimization; Max/Min Application Problems
  24. P24 · [中文] Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral
  25. P25 · [中文] Calculus 1 Lecture 4.2: Integration by Substitution
  26. P26 · [中文] Calculus 1 Lecture 4.3: Area Under a Curve, Limit Approach, Riemann Sums
  27. P27 · [中文] Calculus 1 Lecture 4.4: The Evaluation of Definite Integrals
  28. P28 · [中文] Calculus 1 Lecture 4.5: The Fundamental Theorem of Calculus
  29. P29 · [中文] Calculus 1 Lecture 5.1: Finding Area Between Two Curves
  30. P30 · [中文] Calculus 1 Lecture 5.2: Volume of Solids By Disks and Washers Method
  31. P31 · [中文] Calculus 1 Lecture 5.3: Volume of Solids By Cylindrical Shells Method
  32. P32 · [中文] Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane
  33. P33 · [英文] Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Form
  34. P34 · [英文] Calculus 1 Lecture 0.2: Introduction to Functions.
  35. P35 · [英文] Calculus 1 Lecture 0.3: Review of Trigonometry and Graphing Trigonometric
  36. P36 · [英文] Calculus 1 Lecture 0.4: Combining and Composition of Functions
  37. P37 · [英文] Calculus 1 Lecture 1.1: An Introduction to Limits
  38. P38 · [英文] Calculus 1 Lecture 1.2: Properties of Limits. Techniques of Limit Computa
  39. P39 · [英文] Calculus 1 Lecture 1.4: Continuity of Functions
  40. P40 · [英文] Calculus 1 Lecture 1.5: Slope of a Curve, Velocity, and Rates of Change
  41. P41 · [英文] Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function
  42. P42 · [英文] Calculus 1 Lecture 2.2: Techniques of Differentiation (Finding Derivatives
  43. P43 · [英文] Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of
  44. P44 · [英文] Calculus 1 Lecture 2.4: Applications of the Derivative
  45. P45 · [英文] Calculus 1 Lecture 2.5: Finding Derivatives of Trigonometric Functions
  46. P46 · [英文] Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Fu
  47. P47 · [英文] Calculus 1 Lecture 2.7: Implicit Differentiation
  48. P48 · [英文] Calculus 1 Lecture 2.8: Related Rates
  49. P49 · [英文] Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions
  50. P50 · [英文] Calculus 1 Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Val
  51. P51 · [英文] Calculus 1 Lecture 3.3: The First Derivative Test for Increasing and Decre
  52. P52 · [英文] Calculus 1 Lecture 3.4: The Second Derivative Test for Concavity of Functi
  53. P53 · [英文] Calculus 1 Lecture 3.5: Limits of Functions at Infinity
  54. P54 · [英文] Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions
  55. P55 · [英文] Calculus 1 Lecture 3.7: Optimization; Max/Min Application Problems
  56. P56 · [英文] Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral
  57. P57 · [英文] Calculus 1 Lecture 4.2: Integration by Substitution
  58. P58 · [英文] Calculus 1 Lecture 4.3: Area Under a Curve, Limit Approach, Riemann Sums
  59. P59 · [英文] Calculus 1 Lecture 4.4: The Evaluation of Definite Integrals
  60. P60 · [英文] Calculus 1 Lecture 4.5: The Fundamental Theorem of Calculus
  61. P61 · [英文] Calculus 1 Lecture 5.1: Finding Area Between Two Curves
  62. P62 · [英文] Calculus 1 Lecture 5.2: Volume of Solids By Disks and Washers Method
  63. P63 · [英文] Calculus 1 Lecture 5.3: Volume of Solids By Cylindrical Shells Method
  64. P64 · [英文] Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane
Description 
从直线斜率与距离公式这些前置知识开始，逐步带你走进函数的世界，并用钓鱼、三角函数等贴近直觉的例子帮你建立清晰的图像感。接着我们会进入微积分的核心地基——极限，从概念到计算技巧一步步拆解，再过渡到连续性与中值定理，让你真正理解“不断裂”的数学含义。之后通过曲线斜率、瞬时速度与变化率，自然引出导数的定义，并系统讲解求导方法，包括常数、幂函数、乘积法则与商法则，最后用 DVD 销量建模这样的实际案例展示导数如何分析现实变化。整套内容由浅入深，适合大一新生、理工科预备学习者以及想补强基础的高年级同学，帮助你在严谨推导与直观理解之间找到平衡，扎实掌握一元微积分的核心思维与运算能力。

Comments

名校课程-顶级中配 2026-07-10

计算机的同学可以看这个系列课程

♥ 1

bili_50349872485 2026-07-10

前排前排

云鲤雾醴 2026-07-10

支持 早日火！！