Teaching Page

Teaching Page


2019 Fall Semester

高等微積分一 Advanced Calculus I

Syllabus

Exercises

Chapter 1 Summary

Chapter 2 Summary

Midterm Exam

Chapter 3 Summary

Chapter 4 and (part of) Chapter 7 Summary

Final Exam

2019 Spring Semester

微積分二 Calculus II

Syllabus

Exercises

Chapter 11 Summary

Sequences by Salas

Infinite Series by Salas

Notes on Inverse Functions

Chapter 13 Summary

Vector Calculus by Salas

Chapter 14 Summary

Functions of Several Variables by Salas

Gradients; Extreme Values; Differentials by Salas

Double and Triple Integrals by Salas

Midterm Exam

Chapter 15 Summary

Changing Variables in Multiple Integrals

Line Integrals and Surface Integrals by Salas

Chapter 16 Summary

Final Exam



2018 Fall Semester

微積分一 Calculus I

Syllabus

Exercises

Limits and Continuity by Salas

Some Examples

Some Theorems

Differentiability and the Chain Rule

Inverse Functions

The Mean Value Theorem

2009 Fall Calculus Midterm Exam

2018 Fall Calculus Midterm Exam

Riemann Integrable Functions

Integrations by Salas

Some Applications of the Integral by Salas

The Transcendental Functions by Salas

Techniques of Integration by Salas

Indeterminate Forms and Improper Integrals by Salas

Laplace Transform

Parametric Equations and Polar Coordinates by Salas

2009 Fall Calculus Final Exam

2010 Spring Calculus Midterm Exam

2010 Spring Calculus Midterm Exam II

2018 Fall Calculus Final Exam



2018 Spring Semester

高等微積分二 Advanced Calculus II

Syllabus

Exercises

Study Guide 8

Study Guide 9

Study Guide 10

Study Guide 11

Study Guide 12

Study Guide 13

Study Guide 14 Exercise Problems on Vector Analysis

Study Guide 14 Solutions

2018 Spring Advanced Calculus Midterm Exam 1

2018 Spring Advanced Calculus Midterm Exam 2

2018 Spring Advanced Calculus Final Exam



2017 Fall Semester

高等微積分一 Advanced Calculus I

Syllabus

Exercises

Study Guide 1

Study Guide 2

Study Guide 3

Study Guide 4

Study Guide 5

Study Guide 6

Study Guide 7

2017 Fall Advanced Calculus Midterm Exam 1

2017 Fall Advanced Calculus Midterm Exam 2

2017 Fall Advanced Calculus Final Exam



2016 Fall Semester

課程一:解析幾何與矩陣 Analytic Geometry and Matrix

解析幾何與矩陣課程綱要

Derivatives of Trigonometric Functions

Differentiation Formulas

The Chain Rule Lecture Notes

Linear Equations

Matrix Algebra

Determinants

Vector Spaces

Eigenvalues and Eigenvectors

Midterm Exam

Handout

Final Exam



2016 Spring Semester

傅立葉分析與應用 Fourier Analysis and Applications

傅立葉分析與應用課程綱要

Fourier Series

Fourier Transform

Convolution

Distributions and Their Fourier Transforms

III, Sampling, and Interpolation

Discrete Fourier Transform

The dominated convergence theorem and applications

The Weirstrass's Test for Absolute Uniform Convergence

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Brad Osgood's Lecture on: A discrete version of Fourier transform

Brad Osgood's Lecture on: DFT (discrete Fourier transform)


2015 Fall Semester

課程一:解析幾何與矩陣 Analytic Geometry and Matrix

解析幾何與矩陣課程綱要

Derivatives of Trigonometric Functions

Differentiation Formulas

The Chain Rule Lecture Notes

Derivatives Exercises

Parametric Equations and Polar Coordinates Exercises

Vectors and the Geometry of Space Exercises

Midterm Exam 1

Linear Equations

Matrix Algebra

Determinants

Vector Spaces

Eigenvalues and Eigenvectors

Midterm Exam 2

Final Exam

Lecture Notes in Linear Algebra by Paul Smith (University of Washington)

課程二:拓樸學 Topology

拓樸學課程綱要

Euler's Polyhedra Formula

Introduction

Continuity

Compactness and Connectedness

Identification Spaces

The Fundamental Group

Homework 1

Homework 2

Midterm Exam

Take Home Final Exam


Past Teaching

2013 Fall-2015 Spring Teaching

2012 Fall-2013 Spring Teaching

2011 Fall Teaching

2011 Spring Teaching


生活見聞
生活見聞


給大學新鮮人與爸媽們的十條建議 (台大電機系葉丙成教授)

李震山大法官卸任感言

蘇永欽已不適任大法官、司法院副院長 邱顯智

原來國歌是一首預言歌 (鄉民笑話一)


公民課教室

學測時間宜延後至五、六月舉行,以顧及高中三年完整學習。 「高中學習要完整有效、大學入學要公平適性」連署網站

國民黨不敢面對的歷史事實

1931年中華民國設立駐台北總領事館處理在台華僑事務 (法理上中華民國「完全承認日本對台灣統治的合法性」)

反對違背學術專業的微調課綱連署

國教院違法逕自黑箱微調課綱

違正當程序亂調課綱 就是違憲 前大法官許玉秀

俠骨柔情郭振純前輩 白色恐怖歷史

丁窈窕樹的故事 白色恐怖歷史

施水環的家書 白色恐怖歷史

二戰後路竹第一位牙醫師黃溫恭與妻訣別書 白色恐怖歷史

教育不是政治的工具-用生命擋黑箱課綱

只要還有一口氣,都要對得起自己 林冠華

功狗沒有好下場-反對黑箱課綱微調 南方朔

學運安全

支持太陽花學運

陪孩子及學生到凱道反政府黑箱服貿

為什麼我們看不懂服貿爭議

自己的服貿自己審

晚安台灣

島嶼天光

島嶼天光(動畫版)

國家暴力鎮壓 血濺太陽花

支持學生訴求反對政府黑箱作業

南部開講-在地旅行跟著謝銘祐音樂遊台南

謝志誠:南鐵地下化 不只一個版本
註:監察院報告與事實不符。

可徵用卻徵收 徐世榮:台南鐵路東移與大埔本質相同
註:台南鐵路沿線附近存在許多公園及學校, 提供市民相當多的活動空間及綠地。
因此,當鐵路地下化工程完工時,應該立即將土地使用權及建物歸還、補償給原住戶,
絕對不應該以多數暴力的方式將人民的家園規劃成公園綠地。

支持台南市區鐵路地下化,反對鐵路東移侵占人民家園

不要假人民之名 鄒景雯

大埔案不是小爭議 鄒景雯

公民不該是選擇性正義 鄒景雯

Do You Hear The People Sing?

你敢有聽着咱的歌?

我是民眾,我反對竄改歷史

言論自由殉道者---台灣四百年來最榮幸的家族

台灣人權促進會