Calculus

Introduction

Calculus, originally called infinitesimal calculus or “the calculus of infinitesimals”, is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

It has two major branches, differential calculus and integral calculus. Differential calculus concerns instantaneous rates of change and the slopes of curves. Integral calculus concerns accumulation of quantities and the areas under and between curves. These two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit.

- Wikipedia

Material

• Chapter 1: Functions and Models
  Note: 9/12
  
• Chapter 2: Limits and Derivatives
  Note: 9/19,   9/26
  
• Chapter 3: Differentiation Rules
  Note: 10/3,   10/10
  
• Chapter 4: Applications of Differentiation
  Note: 10/17,   10/24,   10/31
  
• Chapter 5: Intergals
  Note: 11/14
  
• Chapter 6: Applications of Integration
  Note: 11/21
  
• Chapter 7: Techniques of Integration
  Note: 11/28,  12/5,  12/12
  
• Chapter 8: Further Applications of Integration
  
• Chpater 9: Differential Equations
  Note: 12/19,  12/26
  
• Chapter 10: Parametric Equations and Polar Coordinates
  Note: 1/2
  
• Chapter 11: Infinite Sequences and Series
  
• Chapter 12: Vectors and the Geometry of Space
  
• Chapter 13: Vector Function
  
• Chapter 14: Partial Derivatives
  
• Chapter 15: Multiple Integrals
  
• Chapter 16: Vector Calculus
  
• Chapter 17: Second-Order Differential Equations
  

Announcement

• Calculus 2 Module class 07 (2019)
  1. Homework 5 (From TA 黃常勛):
          Download file
          Announce: November 12(Tue.), 2019
          Deadline: November 21 (Thur.), 2019
  2. Quiz 3 (From TA 鄭楷融):
          Download file
          Date: November 28 (Thur.), 2019
  3. Homework 6 (From TA 鄭楷融):
          Download file
          Announce: November 28 (Thur.), 2019
          Deadline: December 5 (Thur.), 2019
  4. Homework 7 (From TA 陳世昕):
          Download file
          Announce: December 4 (Wed.), 2019
          Deadline: December 12 (Thur.), 2019
  5. Quiz 4 (From TA Yuehchou Lee):
          Download file
          Solution
          Date: December 19 (Thur.), 2019
  6. Homework 8 (From TA Yuehchou Lee):
          Download file
          Solution
          Announce: December 17 (Tue.), 2019
          Deadline: December 26 (Thur.), 2019
  
  

• Calculus 1 Module class 07 (2019)
  1. Homework:
          Hw1,   Hw2,   Hw3,   Hw4
  2. Quiz:
          Quiz1 solution,   Quiz2 solution
  
  

• Calculus 1 A05 Class (2018)
  1. Homework:
          Hw1,  Sol;   Hw2,  Sol;   Hw3,  Sol;   Hw4,  Sol;   Hw5,  Sol
  2. Quiz:
          Quiz1,  Sol;   Quiz2,  Sol;   Quiz3,  Sol
  
  
• Calculus 2 A05 Class (2018)
  1. Homework:
          Hw1,  Sol;   Hw2,  Sol;   Hw3,  Sol;   Hw4,  Sol;   Hw5,  Sol
  2. Quiz:
          Quiz1,  Sol;   Quiz2,  Sol;   Quiz3,  Sol
  
  

Open Course

• NTU Calculus (for science and engineering)
  
• NTU Calculus (for others)
  

Extension

• 微積分統一教學網站: Link
  
• Draw Graph Online: FooPlot,   GeoGebra

Text Book

• Calculus, Early Transcendentals, International Metric Edition, 8th Edition
  James Stewart
  
  
  

Awards

• Excellent Teaching Assistant (2017-2018)