多倫多大學(xué)科研水平高、規(guī)模大、師資力量強(qiáng)、教學(xué)質(zhì)量高,并且具備了最新的教學(xué)方法和先進(jìn)的材料,擁有世界級教學(xué)設(shè)備,尤其是該校的數(shù)學(xué)專業(yè),是加拿大最好的專業(yè)之一,下面,小編就為大家?guī)砹?strong>加拿大多倫多大學(xué)數(shù)學(xué)碩士專業(yè),希望對大家有所幫助:
Master's of Mathematical
多倫多大學(xué)數(shù)學(xué)碩士課程主要領(lǐng)域都有研究生學(xué)習(xí)和研究的機(jī)會(huì)。這些領(lǐng)域包括實(shí)與復(fù)分析、常微分方程、偏微分方程、調(diào)和分析、非線性分析、幾種復(fù)變量、泛函分析、算子理論、C*代數(shù)、遍歷理論、群論、解析與代數(shù)數(shù)論、李群與李代數(shù)、自同構(gòu)形、交換代數(shù)、代數(shù)幾何、奇點(diǎn)理論、微分幾何、辛幾何、經(jīng)典合成幾何、代數(shù)拓?fù)洹⒓侠碚?、集合論拓?fù)洹?shù)學(xué)物理、流體力學(xué)、概率論(與統(tǒng)計(jì)學(xué)系合作)、組合數(shù)學(xué)、優(yōu)化、控制理論、動(dòng)力系統(tǒng)、計(jì)算機(jī)代數(shù)、密碼學(xué)和數(shù)學(xué)金融。
課程設(shè)置:
核心課程
Fall semester
MAT1000HF/MAT457H1F Real Analysis I
MAT1060HF Partial Differential Equations I
MAT1100HF Algebra I
MAT1300HF Differential Topology
MAT1600HF Mathematical Probability I
MAT1850HF Linear Algebra and Optimization
Winter semester
MAT1001HS/MAT458H1S Real Analysis II
MAT1002HS/MAT454H1S Complex Analysis
MAT1061HS Partial Differential Equations II
MAT1101HS Algebra II
MAT1301HS Algebraic Topology
MAT1601HS Mathematical Probability II
CROSS-LISTED COURSES
Fall semester
MAT1011HF/MAT436H1F Introduction to Linear Operators
MAT1200HF/MAT415H1F Algebraic Number Theory
MAT1302HF/APM461H1F Combinatorial Methods
MAT1342HF/MAT464H1F Introduction to Differential Geometry
MAT1404HF/MAT409H1F Set Theory
MAT1700HF/APM426H1F General Relativity
MAT1723HF/APM421H1F Foundations of Quantum Mechanics
Winter semester
MAT1016HS/MAT437H1S Topics in Operator Algebras: K-Theory and C*-Algebras
MAT1155HS/MAT448H1S Commutative Algebra
MAT1196HS/MAT445H1S Representation Theory
MAT1304HS/CSC2429HS Topics in Combinatorics: Algebraic complexity theory
MAT1340HS/MAT425H1S Differential Topology
MAT1508HS/APM446H1S Applied Non-Linear Equations
MAT1856HS/APM466H1S Mathematical Finance
TOPICS COURSES
Fall semester
MAT1103HF Topics in Algebra I: Homological Algebra
MAT1190HF Algebraic Geometry
MAT1191HF Topics in Algebraic Geometry: Algebraic Geometry and C onvexGeometry
MAT1192HF Advanced Topics in Algebraic Geometry: Hodge Theory
MAT1210HF Topics in Number Theory: Transcendental Number Theory
MAT1312HF Topics in Geometry: SL(2, Z)
MAT1347HF Topics in Symplectic Geometry and Topology: Symplectic topology and Morse theory
MAT1435HF Topics in Set Theory
MAT1510HF Deep Learning: Theory & Data Science
MAT1901HF Reading in Pure Mathematics: Introduction to the Riemannian Curvature Dimension condition
Winter semester
MAT1128HS Topics in Probability: KPZ/Discrete calculus
MAT1192HS Advanced topics in Algebraic Geometry: Weil conjectures
MAT1191HS Topics in Algebraic Geometry: Algebraic Geometry II
MAT1197HS Automorphic Representations and the Langlands program: an introduction.
MAT1210HS Topics in Number Theory: Elliptic curves and elliptic surfaces
MAT1305HS Topics in Geometric Topology: Diffeomorphism groups
MAT1312HS Topics in Geometry: Classical Mechanics
MAT1314HS Introduction to Noncommutative Geometry
MAT1318HS Seminar in Geometry and Topology: Comparison Geometry
MAT1525HS Topics in Inverse Problems and Image Analysis: Variational Methods in Imaging and Neural Networks
MAT1846HS Topics in Dynamics: Homogeneous dynamics and applications
申請條件:
先決條件:
Doctoral-stream master’s program:
2nd year Advanced ODE’s, e.g. MAT 267H
3rd year Real Analysis, e.g. MAT 357H
3rd year Complex Analysis, e.g. MAT 354H
3rd year Algebra, e.g. MAT 347Y
3rd year Topology, e.g. MAT 327H
Terminal master’s program:
Linear Algebra, e.g. MAT 224
Groups and Symmetries, e.g. MAT 301
Complex Variables, e.g. MAT 334
Real Analysis, e.g. MAT 337
申請人必須持有適當(dāng)?shù)膶W(xué)士學(xué)位,或同等學(xué)歷,最后一年的平均成績至少是公認(rèn)大學(xué)的中b。
每一所大學(xué)的官方成績單
意向書或個(gè)人陳述。
需要三封推薦信
個(gè)人簡歷
語言要求:
托福網(wǎng)考:總分93分,寫作/口語22分
雅思最低要求分?jǐn)?shù):7.0(學(xué)術(shù)),每個(gè)部分至少6.5分。
CAEL要求分?jǐn)?shù):最低70分,每個(gè)部分至少60分。
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