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2024 Exam A

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1st Semester
1st Semester
- Algebra A
  Algebra A
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    12
    
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    Lecture
    
    1.6
    
    12.31
    
    12.30
    
    12.24 Triangularizable Operators
    
    12.23 Diagonalization
    
    12.17 Further properties of det
    
    12.16 The determinant
    
    12.10 Polynomial
    
    12.9 Change of basis
    
    12.3 The dual space
    
    12.2 Product spaces
    
    11.26 Isomorphisms
    
    11.25 Representing linear maps by matrices
    
    11.19 Null space and range
    
    11.18 Linear Maps
    
    11.12 Linear Independence and Basis
    
    11.11 Finite-Dimensional Vector Spaces
    
    11.5 Solving matrices
    
    11.4 Linear Equation
    
    10.29 Subpaces
    
    10.28 Subspaces
    
    10.22 Linear combination
    
    10.21 Vector Spaces
    
    10.15 Matrices
    
    10.14 Fields
  - Tutorial
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    1.10
    
    1.8
    
    1.3
    
    12.27
    
    12.25
    
    12.20
    
    12.18 Polynomial
    
    12.13 Change basis
    
    12.11 Annihilator
    
    12.6 Dual space
    
    12.4 Product sapce
    
    11.29 Isomorphism
    
    11.27 Representing linear maps by matrices
    
    11.22 Null Space
    
    11.20 Null space and range
    
    11.15 Linear independent and basis
    
    11.13 Finite-Dimensional Vector Spaces
    
    11.6 Solving equation
    
    11.1 Subspaces
    
    10.30 Subspaces
    
    10.25 Linear combination
    
    10.23 Vector Spaces
    
    10.18 Matrices
    
    10.16 Fields
  - Workshop
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    1.3
    
    12.27
    
    12.20
    
    12.13 Change basis
    
    12.6 Quotient space
    
    11.29 Represent linear maps
    
    11.22 Null space
    
    11.15 Linear independent and basis
    
    11.8 Solving equation
    
    11.1 Subspaces
    
    10.25 Vector spaces
    
    10.18 Matrices
- Basic Concepts in Mathematics
  Basic Concepts in Mathematics
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    9
    
    8
    
    7 Cardinality
    
    6 Function
    
    5 Partition
    
    4 Relation
    
    3 Induction
    
    2 Sets
    
    1 Propositions and Proofs
  - Lecture
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    1.6
    
    12.30 Infinite set
    
    12.23
    
    12.16 Cardinality
    
    12.9 Function
    
    12.2 Operation with functions
    
    11.25 Total Order
    
    11.18 Partition
    
    11.11 Relation
    
    11.4 Three Principles
    
    10.28 Set
    
    10.21 Proof
    
    10.14 Propositions and Quantifiers
  - Tutorial
    Tutorial
    
    1.9
    
    1.2
    
    12.25
    
    12.18 Cardinality
    
    12.11 Function
    
    12.4 Function
    
    11.27 Function
    
    11.20 Partition
    
    11.13 Relation
    
    11.6 Three principles
    
    10.30 Set
    
    10.23 Proof
    
    10.16 Propositions and Quantifiers
  - Workshop
    Workshop
    
    1.2
    
    12.25
    
    12.18 Cardinality
    
    12.11 Function
    
    12.4 Functions
    
    11.27 Total Order
    
    11.20 Partition
    
    11.13 Relation
    
    11.6 Three principles
    
    10.30 Set
    
    10.23 Proof
    
    10.16 Propositions and Quantifiers
- INT. To Computer Science M
  INT. To Computer Science M
  - Homework
    Homework
    
    3
    
    2
    
    1
  - Lab
    Lab
    
    12.27 Lab11
    
    12.20 Lab10
    
    12.13 Lab9
    
    12.6 Lab8
    
    11.29 Lab7
    
    11.22 Lab6
    
    11.10 Lab4
    
    11.1 Lab3
    
    10.25 Lab2
    
    10.18 Lab1
  - Lecture
    Lecture
    
    1.6 time complexity
    
    12.23 Some fundamental algorithms on sequences
    
    12.16 Points
    
    12.9 Functions
    
    12.2 Arrays, random number generation
    
    11.26 Programming style, command line arguments to main, advances console output
    
    11.18 IO ASCII EOF
    
    11.11 Statement, assignment operators, linear accumulation
    
    11.4 Increments Short-Circuit Conditionals Loop Control
    
    10.28 Logic Loops Conditions
    
    10.21 Foundations of Programming and Process Management in Computing
    
    10.14 Introduction
  - Tutorial
    Tutorial
    
    1.9
    
    1.2 Tutorial 11
    
    12.17 Tutorial10
    
    12.11 Tutorial 9
    
    12.5 Tutorial 8
    
    11.28 Tutorial7
    
    11.21 Tutorial6
    
    11.14 Tutorial5
    
    11.7 Tutorial4
    
    10.31 Tutorial3
    
    10.24 Tutorial2
    
    10.17 Tutorial1
- Infinitesimal Calculus 1
  Infinitesimal Calculus 1
  - Exam
    Exam
    
    Mid
  - Homework
    Homework
    
    11
    
    10
    
    9
    
    8
    
    7
    
    6
    
    5
    
    4
    
    3
    
    2
    
    1
  - Lecture
    Lecture
    
    1.9
    
    1.6
    
    1.2
    
    12.30 Taylor approximation
    
    12.26
    
    12.23 More theorems of derivates
    
    12.19 Theorems of Derivative
    
    12.16 Derivative of the inverse
    
    12.12 Derivatives
    
    12.9 Derivatives
    
    12.5 Theorems of Continuity
    
    12.2 Bolzano, Intermedia value theorem
    
    11.28 Continuous Function
    
    11.25 Continuous
    
    11.18&21 Limit of functions
    
    11.14 The exponential function
    
    11.11 Series
    
    11.7 Series
    
    11.4 Cauchy sequences
    
    10.31 Subsequences
    
    10.28 Limit
    
    10.24 Convergence
    
    10.21 Supremum and the Completeness Axiom
    
    10.17 Absolute value and Supremum
    
    10.14 Axioms of real numbers
  - Tutorial
    Tutorial
    
    1.10
    
    1.9
    
    1.3
    
    1.2
    
    12.27
    
    12.26
    
    12.20
    
    12.19
    
    12.13 Derivative
    
    12.12 Derivative
    
    12.6 Bolzano, Intermedia value theorem
    
    12.5 Bolzano theorem
    
    11.29 Continuity of functions
    
    11.28 Infinite limits
    
    11.22 Sequential Limit
    
    11.21 Limit of function
    
    11.15 Topology
    
    11.14 Series
    
    11.8 Series
    
    11.7 Sequence
    
    11.1 Limit
    
    10.31 Convergence
    
    10.25 Supremum and the Completeness Axiom
    
    10.24 Absolute value and Supremum
    
    10.17 Axioms of real numbers
  - Workshop
    Workshop
    
    1.10
    
    1.3
    
    12.27
    
    12.20
    
    12.13 Derivative
    
    12.6 Bolzano theorem
    
    11.29 Limit of functions
    
    11.22 Limit of function
    
    11.15 Series
    
    11.8 Cauchy sequences
    
    11.1 Subsequences
    
    10.25 Supremum and Infimum
    
    10.18 Absolute value
2nd Semester
2nd Semester
- Algebra B
  Algebra B
- Combinatorics
  Combinatorics
  - Exam
    Exam
    
    Midterm Revision
    
    Final Exam Revision
  - Homework
    Homework
    
    Homework 10
    
    Homework 9
    
    Homework 8
    
    Homework 7
    
    Homework 6
    
    Homework 5
    
    Homework 4
    
    Homework 3
    
    Homework 2
    
    Homework 1
  - Lecture
    Lecture
    
    6.9 Turán
    
    5.26 Matching in bipartite graphs
    
    5.19 Plane and Planar Graph
    
    5.12 Pigeonhole principle
    
    4.28 Euler Tour and The Pigeonhole principle
    
    4.23 Euler Walking
    
    4.21 Graphs
    
    4.7 Catalan and Generating Function
    
    3.31 Recursive Formulas and Generating Functions
    
    3.24 Stirling number formula
    
    3.17 Bell Number
    
    3.10 Counting maps
    
    3.3 Counting
  - Tutorial
    Tutorial
    
    6.11 Turan
    
    6.4 Matching
    
    5.28 Matching
    
    5.21 Plane and Planar Graph
    
    5.14 Pigeonhole Principle
    
    5.7 Euler Tour
    
    4.30 Graph
    
    4.9 Generating functions
    
    4.2 Formal functions
    
    3.26 Inclusive-Exclusive Principle
    
    3.19 Stirling number
    
    3.12 Binomial Coefficients
    
    3.5 Counting
- Infinitesimal Calculus 2
  Infinitesimal Calculus 2
- Systems Programming
  Systems Programming
  - Homework
  - Exam
    Exam
    
    Practical example
    
    C++
    C++
    
    Diamond inheritance problem and Polymorphism
    
    Shallow Copy vs. Deep Copy
    
    C++ Note
    
    Exam-Oriented Resource
    Exam-Oriented Resource
    
    LinkedList Implementation
    
    Simon Exercise List
    
    Some Remark
    
    Compilation Processes and Exception of three languages
    
    问答题
    
    Exam Fitting
    
    2024 Exam A
    
    2023 Exam B
    
    2023 Exam A
    
    Problem List
    
    Java
    Java
    
    String and String Builder
    
    Advanced Generics
    
    Comparable
    
    Streams
    
    Inheritance Abstract classes Inheritance-based polymorphism, encapsulation
    
    Functional Interface Lambda expression Anonymous classe
    
    Java Note
    
    Python
    Python
    
    Summary of Python Syntax
    
    Python Note
  - Lecture
    Lecture
    
    6.9 Revision of three languages
    
    5.26 Lecture 12
    
    5.22 Self 9.3
    
    5.19 Lecture 11
    
    5.12 Lecture 10
    
    5.11 Self 9.2
    
    4.23 Self 8
    
    4.28 Self 9
    
    4.28 Lecture 9
    
    Knowledge Supplement before Lecture 7
    
    4.23 Lecture 8
    
    4.21 Lecture 7
    
    4.7 Lecture 6
    
    3.31 Lecture 5
    
    3.24 Lecture 4
    
    3.17 Lecture 3
    
    3.10 Lecture 2
    
    3.3 Lecture 1
  - Tutorial
    Tutorial
    
    6.12 Final Tutorial
    
    C++
    
    Python
    
    4.3 Tutorial 5
    
    3.27 Tutorial 4
2.5th Semester(2025 Summer Semester)
2.5th Semester(2025 Summer Semester)
- Quantum Foundation
  Quantum Foundation
2025 Summer PT Program
2025 Summer PT Program

2024 Exam A

SLCM_Exam_Notebook_999022072_202401-104824-1_Datestamp_2025_02_12.pdf

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