1. Software (solve problem)
   1. 問題量化 (Math)
      1. 不連續問題 (離散)
         1. 邏輯
            1. 邏輯運算
            2. 運算
            3. 傳遞性
            4. 分配律
            5. 化簡
            6. boolean expr
            7. 邏輯函數
            8. 巢狀函數
         2. 集合
            1. 排容原理
            2. 性質
            3. 分配律
            4. 交換律
            5. 結合律
            6. 工具
            7. venn diagram
         3. 組合
            1. binomial theorem
            2. 重複組合
         4. 圖論
            1. 定理
            2. Euler's circuit
            3. Euler's formula
            4. 圖形定義
            5. complete
            6. connect
            7. simple
            8. cube
            9. bipartite
            10. 性質
            11. isolated
            12. degree
            13. regular
            14. chromatic
         5. 數論
            1. 餘式
            2. 費馬定理
            3. 中國餘式定理
            4. 鴿籠原理
            5. relation
            6. recurrence
            7. 數學歸納法
         6. 正規語言
            1. 性質
            2. 語言範圍
            3. 文法
      2. 矩陣化線性問題 (線代)
         1. 線性方程組
            1. 行列式
            2. 矩陣運算
            3. 反矩陣
            4. singular
            5. 簡化運算
            6. 對角化
            7. QR分解
            8. least square
            9. 行/列 運算
         2. 向量
            1. 空間
            2. independent / space create
            3. 基底與維度
            4. kernel / image space
            5. subspace
            6. rank
            7. 映射
            8. space transfer
            9. 正角化
            10. Orthogonal
            11. gram-schmidt
            12. 特徵 (Eigen)
            13. value
            14. vector
   2. 資料存放 (DS)
      1. Tree
         1. 性質
            1. full / regular
            2. complete
         2. binary search
            1. AVL
            2. Red black
         3. huffman
      2. Stack
      3. Hash
      4. Queue
   3. 效率計算 (Algo)
      1. Sorting
         1. bubble
         2. selection
         3. insertion
         4. merge
         5. quick
         6. radix
      2. Search
         1. Hash
      3. Complexity
         1. Master theorem
      4. NP problem
         1. NP hard
         2. NP complete
         3. NP
         4. P
      5. Travel
         1. Flyod
         2. Dijkstra
         3. Find spanning tree
            1. Prim
            2. Kruskal
2. Hardware (save time)
   1. bare (CO)
      1. command
      2. ALU
      3. performance
         1. MIPS
         2. AMDAHL'S rule
      4. CPU
         1. pipeline
      5. storage devices
         1. catch
         2. virtual memory
      6. I/O devices
         1. HD
         2. Properties
            1. Dependability
            2. Reliability
            3. Availability
         3. Disk array
         4. BUS
         5. DMA
   2. extended (OS)
      1. type
         1. mutiprogramming
         2. time sharing
         3. distributed
         4. real time
            1. hard
            2. soft
         5. batch system
         6. hand held system
      2. structure
         1. kernel
            1. series
            2. microkernel
            3. process
            4. context switch
            5. PCB
            6. system call
            7. fork
            8. wait
            9. exit
            10. execlp
            11. scheduling
            12. starvation
            13. preemptive / non-preemptive
            14. rules
            15. FIFO
            16. SJF
            17. SRJF
            18. Priority
            19. R-R
            20. Multilevel Queue
            21. Mutilevel Feedback Queue
            22. HRRN
            23. sample
            24. multiprocessors
            25. real time
            26. thread
            27. deadlock
            28. starvation
            29. necessary condition
            30. mutual exclusion
            31. hold & wait
            32. no preemption
            33. circular waiting
            34. graph
            35. resource allocation graph (RAG)
            36. claim edge + RAG
            37. wait-for graph
            38. solution
            39. prevention
            40. avoidance
            41. detection
            42. ADT
            43. steps
            44. recovery
            45. kill
            46. preemption
            47. synchronization
            48. communication
            49. shared memory
            50. message passing
            51. race condition
            52. critical section
            53. disk
            54. access time
            55. management
            56. free space
            57. bit vector
            58. linked list
            59. file allocation
            60. scheduling algorithm
            61. FCFS
            62. SSTF
            63. SCAN
            64. C-SCAN
            65. C-LOOK
            66. NEXT
            67. RAID
            68. 0
            69. 1
            70. 2
            71. 3
            72. 4
            73. 5
            74. 6
            75. 0+1
            76. 1+0
            77. memory
            78. process
            79. binding
            80. loading
            81. linking
            82. management
            83. continue
            84. linked list
            85. fit method
            86. worst fit
            87. best fit
            88. first fit
            89. fragmentation
            90. external
            91. solution
            92. compaction
            93. page
            94. record process
            95. internal
            96. virtual memory
            97. demand paging
            98. page replacement
            99. trashing
            100. file
            101. open
            102. close
            103. protection
            104. physical
            105. logical
            106. consistency sematic
            107. UNIX
            108. session
            109. immutable
            110. I/O
            111. polling
            112. interrupt
            113. DMA
         2. user interface
            1. command interpreter
            2. shell
            3. system call
         3. user program
            1. compiler
            2. linking loader
            3. debugger
            4. network utility
      3. target
         1. interface of user & hardware
         2. provide env for user program
         3. resource manage
         4. protect system
            1. hardware
            2. basic
            3. dual mode
            4. privileged instr
            5. I/O
            6. memory
            7. Cpu
            8. software
            9. trap
            10. interrupt