Fall 2014 MATH 1151
Analytic Geometry and Matrices 解析幾何與矩陣

Syllabus

Announcements

  • 9/24/2014: Homework 1 不要做6defg. Excercises 11-26上方描述改為:
    "Graph the sets of points on xy plane whose preimage of Phi on r-theta plane satisfy the equations and inequalities in Excercises 11-26"
    即重覆課堂上將r theta平面上的集合透過函數Phi轉到xy平面的動作。
  • 9/24/2014: 九月份康仕承助教不在，他的Office Hour由教師劉之中代理。
  • 9/26/2014: 老師辦公室有五本Thomas' Calculus(11或12版)，同學有需要可以來外借當做參考書。
  • 10/1/2014: 請同學善用office hour. 作業有不懂的地方也請盡早發問。若無法參與office hour也請盡早來信(電)另約時間。
  • 10/2/2014: HW2的"Problem from Class"第一題已經修改完畢，截止日期改為10/8/2014。
  • 10/15/2014: 請同學留意HW3中的轉動函數R，原本的寫法有可能會造成誤解，我已經作了修正。
  • 10/17/2014: 三維空間中的曲面繪圖有困難時，可參考此處
  • 10/27/2014: HW5 截止日期改11/5，解答會在截止日前公佈以便同學對答案。
  • 10/27/2014: Facebook解析幾何專頁只提供非正式通訊，所有課程相關的宣佈事項都以課堂上的宣導與本網頁公佈內容為準。也請有使用Facebook專頁的同學協助提醒其他人以確保資訊的統一傳達。
  • 10/29/2014: 第一次期中考相關事項請詳讀 Exam 1 Info 之檔案。
  • 11/3/2014: Homework 5 最後一題講義有誤，已訂正請參閱。
  • 11/11/2014: Homework 6 最後一題忘了打絕對值，已修正。
  • 11/12/2014: 第一次期中考平均為63，而非73，上課時講錯了，特此更正！
  • 12/5/2014: 第二次期中考訂為12/31星期三，詳情將於12/12前公布。
  • 12/17/2014: 12/27(SAT)之兩小時補課改至12/29(MON)17-19。
  • 12/17/2014: Homework 11 最後一題免做(未教)。
  • 12/24/2014: 請同學踴躍前往此網站填寫教學評量。
  • 1/21/2015: 期末考已經改完，平均75%。總成績也已經打完並將於下星期三1/28/2015送至教務處。要閱卷的同學請在此日前親自前來辦公室，若想來卻因不可抗拒因素無法前來者請email告知。總成績送出後將無法再做更改。
  • 1/21/2015: 期末考已經採取最寬鬆標準給分，因此"扣太多分"之類的申訴理由不會被處理，只處理寫對卻被扣分的疑義。

    Class Logs 教學日誌

  • 9/17/2014(WED): Basic Language.
  • 9/19/2014(FRI): Numbers, definition of coordinates, introduction to polar coordinates.
  • 9/24/2014(WED): Further discussion and examples on polar coordinates.
  • 9/26/2014(FRI): Spirals, limacons, and roses.
  • 10/1/2014(WED): Traces of equations and inequalities, cylindrical coordinates.
  • 10/3/2014(FRI): Spherical coordinates, introduction to conic sections: parabolas.
  • 10/8/2014(WED): Ellipse and hyperbolas (in rectangular coordinates).
  • 10/10/2014(FRI): 台灣國慶日。
  • 10/15/2014(WED): Eccentricity and conics in polar forms.
  • 10/17/2014(FRI): Quadric surfaces.
  • 10/22/2014(WED): Finish quadric surfaces, traces vs. graphs.
  • 10/24/2014(FRI): More change of coordinates.
  • 10/29/2014(WED): Introduction to vectors in R^n (Smith Chapter 1).
  • 10/31/2014(FRI): n dimensional vector spaces and lines in R^n (Smith Chapter 1).
  • 11/5/2014(WED): Midterm exam 1.
  • 11/7/2014(FRI): Planes, spans, subspace (Smith Chapter 1 and 6,7).
  • 11/12/2014(WED): Spanning sets, return exam 1 (Smith Chapter 6,7).
  • 11/14/2014(FRI): Spanning sets, linear independence, basis (Smith Chapter 6, 8, 10).
  • 11/19/2014(WED): Finish basis, coordinate representation of vectors (Smith Chapter 10).
  • 11/21/2014(FRI): Introduction to linear transformations, basic properties and dimension theorem (Smith Chapter 11).
  • 11/26/2014(WED): Linear transformations and matrices (Smith Chapter 11, 2).
  • 11/28/2014(FRI): Composition of linear transformations, some visual examples of linear transformations. (Smith Chapter 11, 2).
  • 12/3/2014(WED): Elementary colume and row operations.
  • 12/5/2014(FRI): Invertible linear transformations.
  • 12/10/2014(WED): Computation of inverse matrices, introduction to rank of matrices.
  • 12/12/2014(FRI): More facts about rank of a matrix, row echelon form of a matrix.
  • 12/17/2014(WED): Introductino to systems of linear equations. (Smith Chapters 4, 5).
  • 12/19/2014(FRI): Finish system of linear equations, introduction to determinants of 2x2 matrices.
  • 12/24/2014(WED): Introduction to general nxn matrices and basic properties.
  • 12/26/2014(FRI): More properties and applications of nxn determinants.
  • 12/30/2014(MON): Orientations and volumes.
  • 12/31/2014(WED): Midterm 2.
  • 1/7/2015(WED): Change of basis and its relationship to matrix representations of linear transformations.
  • 1/9/2015(FRI): Introudction to diagonalization of matrices, eigenvectors and eigenvalues.

    Homework Assignments

    Exams

    Handouts

    Homework 1 Supplementary Problems
    請 在此處下載針對最後一周筆記的修正及評語。

    Lecture Notes

    Notations and Languages
    Coordinates
    Conic Sections and Quadric Surfaces
    Traces and Graphs
    Vectors in Rn
    Spans, Linear Independences, and Basis
    Systems of Linear Equations
    Invertibility and Determinants
    Change of Basis, Diagonalization