Mathematics 252 Chemistry 302 Mathematics for Chemistry II

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Mathematics 252 - Chemistry 302Mathematics for
Chemistry II
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Math 252 Chem 302

• Instructor Dr. D. KeefeOffice TC-107 / TC-137
  (laboratory)Phone [phone] / 1462
  (laboratory)email Dale_Keefe_at_cbu.ca
• Lectures T 1000 1115 am Th 830 945
  am
• Laboratories TBA.
• Mark Structure
• Laboratories / Assignments 40
• Term Tests 30
• Final Exam 30

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Math 252 Chem 302

• Syllabus
• Solutions of nonlinear equations
• Solutions of systems of linear equations (matrix
  inversion)
• Interpolation / extrapolation
• Integration
• Least squares regression
• linear
• nonlinear
• Differential equations
• Matrix eigenvalue-eigenvector problems

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Math 252 Chem 302

• Term Testsweek of Feb 11 15week of Mar 17
  21
• must be written on the day they are scheduled.
• doctors certificate or other supporting document
  to be eligible for a rewrite.
• Otherwise a mark of 0 (zero) will be given for
  the test
• University closed ? test next scheduled lecture
  period.

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Math 252 Chem 302

• Supplementary ExaminationSupplementary
  Examinations are NOT available for this course.
• Office HoursTBA
• WebsiteAssignments, copies of lecture
  transparencies and other course materials are
  posted athttp//faculty.cbu.ca/dkeefe/chem302

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Introduction

• Many problems in chemistry well suited for
  solution on a microcomputer
• Kinetics
• Quantum chemistry
• Spectroscopy
• Complexity
• Repetition

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Introduction

• Use
• Maple
• Commercial Mathematics software
• Microsoft Excel
• Spreadsheet with some numerical applications
• C
• High-level programming language
• Write our own code
• Review Math 187 notes

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Number Systems

• Understand how a computer stores information
• Decimal
• 10 integers (0,1,2,3,4,5,6,7,8,9)
• Decimal point
• positive () negative (-) signs
• Digits to left of decimal point represent
  successive positive powers of ten
• Digits to right of decimal point represent
  successive negative powers of ten
• 1234.56 ?1103 2 102 3 101 4 100 5
  10-1 6 10-2
• Not practical for computers based on binary
  states (on/off)

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Number Systems

• Binary Base 2
• 2 integers (0,1)
• Binary point
• positive () negative (-) signs
• Digits to left of binary point represent
  successive positive powers of two
• Digits to right of binary point represent
  successive negative powers of two
• (1011.01)2 ?123 022 121 120 02-1
  12-2

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Number Systems

• Octal Base 8
• 8 integers (0,1,2,3,4,5,6,7)
• Octal point
• positive () negative (-) signs
• Digits to left of octal point represent
  successive positive powers of eight
• Digits to right of octal point represent
  successive negative powers of eight
• (1234.56)8 ?183 282 381 480 58-1
  68-2

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Number Systems

• Hexadecimal Base 16
• 16 integers (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F)
• Hexadecimal point
• positive () negative (-) signs
• Digits to left of hexadecimal point represent
  successive positive powers of sixteen
• Digits to right of hexadecimal point represent
  successive negative powers of sixteen
• (1AF4.C6)16 ?1163 A162 F161 4160
  C16-1 616-2

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Number Systems

• Decimal Binary Octal Hexadecimal
• 0 0 0 0
• 1 1 1 1
• 2 10 2 2
• 3 11 3 3
• 4 100 4 4
• 5 101 5 5
• 6 110 6 6
• 7 111 7 7
• 8 1000 10 8
• 9 1001 11 9
• 10 1010 12 A
• 11 1011 13 B
• 12 1100 14 C
• 13 1101 15 D
• 14 1110 16 E
• 15 1111 17 F

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Number Systems

• Decimal Binary Octal Hexadecimal
• 16 10000 20 10
• 17 10001 21 11
• 18 10010 22 12
• 19 10011 23 13
• 20 10100 24 14
• 21 10101 25 15
• 22 10110 26 16
• 23 10111 27 17
• 24 11000 30 18
• 25 11001 31 19
• 26 11010 32 1A
• 27 11011 33 1B
• 28 11100 34 1C
• 29 11101 35 1D
• 30 11110 36 1E
• 31 11111 37 1F

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Converting between number systems

• Binary, Octal, Hexadecimal to Decimal
• Expand the powers of 2,8 or 16 into powers of 10
• (1011.01)2
• (123 022 121 120 02-1 12-2)2
• (18 04 12 11 0/2 1/4)10
• (11.25)10

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Converting between number systems

• (1234.56)8
• (183 282 381 480 58-1 68-2)8
• (1512 264 38 41 5/8 6/64)10
• (668.71875)10
• (1AF4.C6)16
• (1163 A162 F161 4160 C16-1
  616-2)16
• (14096 10256 1516 41 12/16
  6/256)10
• (6900.7734375)10

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Converting between number systems

• Decimal to Binary, Octal, Hexadecimal
• Convert the integer and fraction part separately
• Integer successively divide by 2, 8 or 16
  keeping track of remainders
• Fraction successively multiply by 2, 8 or 16
  keeping track of integer part

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Converting between number systems
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Converting between number systems
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Converting between number systems
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Converting between number systems

• Between Binary, Octal, Hexadecimal
• 823 (use 3 binary digits for one octal digit)
• 1624 (use 4 binary digits for one hexadecimal
  digit)