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[MATH3033] Real Analysis (4 units) Edit

Semester of Enrollment: 2013 Fall

Instructor: LI, Kin Yin

Grade: 唔知

Comments: 評該基本如上文,lecture/tuto基本上唔駛上 (利申: 除左review class, 交功課, present同第一堂之外都無上過) present 應該要組group

整個course有三個部份:

1. Sequence and Series of Functions

呢個係2033的延續,你會學uniform convergence同continuity幾時preserved等等,midterm、final計數題會出現

2. Differentiation of Multivariable Functions

呢度會證明番2023係differentiation部份學到的部份定理,同係R^n上面講,呢一part需要返大家的2023+2121的知識,例如chain rule會用番linear transformation的形式去講。另外再加implicit function theorem同inverse function theorem, midterm 一定會出一題計數

3. Lebesgue Integral and Lebesgue Measure

呢部份先係呢個course的戲肉,亦都係最難的部份,如果有志讀研究院,專攻Analysis的話,呢個部份一定要讀好。Final 會有一題用convergence theorem的計數題,再加三題都係呢個topic,如果想穩守B+或以上一定要做熟呢個topic

Midterm 考頭兩個topic, 都係送分題, 個mean 接近滿分, final個mean 40/100都無 (即係做到頭兩題基本上都above mean) 之後果三題就隨緣啦, 如果你做到其中十幾分應該夠A range, 呢三題通常有一題幾tricky做唔到都應該有A+

另外要注意midterm 同final 的送分題基本上都要計數, 除左要check清楚d conditions 之外, 記得唔好計錯

認真想學Analysis的同學建議 take / sit 2043+3043, 比D骨氣自己 (利申: 我都唔知3033教左乜野)

另外想exhange 的同學要留心, 呢一科唔係咁易trans, 最好去exchange之前問清楚

Grading: 10% HW, 10% Presentation, 30% Midterm, 50% Final

Edit

Semester of Enrollment: 2014 Fall

Instructor: Kin-Yin Li

Grade: Hard to say/Bad...

Comments:

Analysis依啲野, 明就明, 唔明就唔明! 所以唔討論課程內容難度, 只講prof同grading

Kin Li教既野就好正路, 只係講書照notes讀, 好易訓著, 想走堂就走啦, 返mid term前一堂, 最後一堂就得,

定mid term時間, 同知道考試範圍,題型

HW有3份, 記住前幾日就做, 有咩唔識就好去問

Presentation做2次, 你做錯都冇咩所謂既...因為係TA評分, 只要你冇玩野,認真做過題目, 佢都唔會點針對你, 比個full mark

Mid term係智障級數, Kin Li會比pastpaper, 基本上係一樣, 你溫完都唔識做就上樓梯, 入arro辦理quit U手續

Final有兩題送分, 三題分grade, 我讀個時, 成班有幸比Kin Li親自改後三題, 導致成班考試前先溫書, concept半清半濁既人食晒屎 (包括我)

後三題個mode 係 0 (好似係), 最後幾分就一個subgrade, 屍橫遍野, 呵呵呵呵呵

TA: Henry Cheng

其實我本身唔係跟佢, 但係佢之前教過我, 教得好好, 所以專登去sit

Notes寫得好清楚, exercise充足(個人認為難度高於exam),

英文水平係maths入面係非常之好, 聽書易入腦好多

嗯... 擦鞋擦住咁多先

p.s.唔好po上面啲野去佢fb, 我怕醜同埋驚被人起底 [adore]

p.s.2 佢好似唔駛再做TA, 你地都冇機跟佢鳥~

Grading:

10% HW

10% Presentation

30% MT

50% Final

Edit

Semester of Enrollment: 2014 Fall

Instructor: LI, Kin Yin

Grade: 爛/一般/好(大多視乎你final既表現)

Comments: MATH major core終極大佬/PHYS-PM elective course

呢科pre-req門檻都算高,要2023/2033/2121先可以pre-reg到入去. 但你其中一個course fail既話,就要自己reg左佢.如果你pass左2033(大前提)但要retake 2023/2121既話,Kin Li應該會批左你waive pre-req佢.

除非你趕grad/出年fall exchange(正如上文,呢科較難tran),個人認為唔建議咁做.事關個course難度不易,加上個course structure比較散.

分三個Topic,前兩個Topic係Multivariable Calculus及Mathematical Analysis既延續版, 不算太難,好快上到手.

最尾一個Topic先至係Real Analysis既其中一部分.不過個Topic比較抽象同棘手,難度有如4字頭MATH course既味道.再加上係Kin Li同樣用3-4個禮拜去講呢個topic,同埋佢都講得幾快.雖然Kin Li講呢堆terminlogy(唔係度開估,自己上Kin Li網睇就知)唔多,但係都足夠嚇死一部分人. 

個人認為如果唔係想讀Pure Math/Phys既course,可能得頭2個topic會用到打後UG Math course.

最尾一個topic UG stat course應該唔會點用到.(大概5411/MAFS5020先會應用到)

如果只係想求pass既話,功課present冇甩漏,Mid-term做到80分樓上就應該得.

Mid-term考前前2個topic, 溫左review去做算straight forward(題種不多同埋大多數講同一個concept).Final都有兩題送分計算題,其他3題都係proof.

但final大多數考最尾一個topic為重,不少題種,要掌握得哂唔易.再加上得2粒鐘做,如果做唔到果3條既話就應該爭取時間去check返送分題.不過如果你肯落力去溫既話,相對係會有回報既. 若果你識做果3條其中一條,你唔會識做得哂一條,但你思路正確既話而對題,有機會執到分.(Kin Li俾分好手緊,最尾3題mode 0分都不奇,唔好老定會執到分) 

不過course內容唔淺,好多概念都係講得深入左,奉勸想take為elective可以考慮Audit呢個course先.

只要你功課present做得齊同冇乜甩漏,mid-term接近full, final做啱送分題既話,應該都係坐定B-.

大前提下你功課present做得齊同冇乜甩漏,mid-term接近full既話, 如果你果分唔接近果2題送分題總分,你預左會有爛grade既心理準備. 如果果3條你都執到分既話,咁你個grade應該會由B開始升上到A Range不等,視乎你做得識幾多.

好彩既係,如果你final識做多一題,咁你個分應該係接近above mean一個sd,咁你就應該會有機會A-.(only suitable for 3033 but not 2033. 2033相對較易同埋會果個course有maindland/Pure A既黎屈機.) 想A Range既就請溫熟最後一個Topic.

Grading: 10% Homework(x3,一個topic一份), 10% Presentation(x2) 30% mid-term 50% fianl

mid-term mean 88/100 sd 16/100 final mean 32.61/100 sd 12.82/100 total冇出stat,但mean應該61/100左右

mean = C+, mode = B-

14 Fall Total 71%or above 應該有A Range(年年performance唔同,好難比較邊年易拎A Range)

P.S. mid-term Kin Li自己改哂,條mean高都應該係Kin Li放水先會咁,你預佢改final執正黎做同埋佢會再翻check,唔好expect 會appeal到返黎.