Download presentation

Presentation is loading. Please wait.

Published byFrancesca Kinman Modified over 3 years ago

1
Mathematics 252 - Chemistry 302 Mathematics for Chemistry II

2
Math 252 – Chem 302 Instructor: Dr. D. Keefe Office TC-107 / TC-137 (laboratory) Phone 563-1185 / 1462 (laboratory) email: Dale_Keefe@cbu.ca Lectures: T 10:00 – 11:15 am Th 8:30 – 9:45 am Laboratories: TBA. Mark Structure –Laboratories / Assignments 40% –Term Tests30% –Final Exam30%

3
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

4
Math 252 – Chem 302 Term Tests week of Feb 11 – 15 week of Mar 17 – 21 –must be written on the day they are scheduled. doctor’s 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.

5
Math 252 – Chem 302 Supplementary Examination Supplementary Examinations are NOT available for this course. Office Hours TBA Website Assignments, copies of lecture transparencies and other course materials are posted at http://faculty.cbu.ca/dkeefe/chem302

6
Introduction Many problems in chemistry well suited for solution on a microcomputer –Kinetics –Quantum chemistry –Spectroscopy Complexity Repetition

7
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

8
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 1×10 3 + 2 ×10 2 + 3 ×10 1 + 4 ×10 0 + 5 ×10 -1 + 6 ×10 -2 Not practical for computers – based on binary states (on/off)

9
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 1×2 3 + 0×2 2 + 1×2 1 + 1×2 0 + 0×2 -1 + 1×2 -2

10
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 1×8 3 + 2×8 2 + 3×8 1 + 4×8 0 + 5×8 -1 + 6×8 -2

11
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 1×16 3 + A×16 2 + F×16 1 + 4×16 0 + C×16 -1 + 6×16 -2

12
Number Systems DecimalBinaryOctalHexadecimal 0000 1111 21022 31133 410044 510155 611066 711177 81000108 91001119 10101012A 11101113B 12110014C 13110115D 14111016E 15111117F

13
Number Systems DecimalBinaryOctalHexadecimal 16100002010 17100012111 18100102212 19100112313 20101002414 21101012515 22101102616 23101112717 24110003018 25110013119 2611010321A 2711011331B 2811100341C 2911101351D 3011110361E 3111111371F

14
Converting between number systems Binary, Octal, Hexadecimal to Decimal –Expand the powers of 2,8 or 16 into powers of 10 (1011.01) 2 =(1×2 3 + 0×2 2 + 1×2 1 + 1×2 0 + 0×2 -1 + 1×2 -2 ) 2 =(1×8 + 0×4 + 1×2 + 1×1 + 0/2 + 1/4) 10 =(11.25) 10

15
Converting between number systems (1234.56) 8 =(1×8 3 + 2×8 2 + 3×8 1 + 4×8 0 + 5×8 -1 + 6×8 -2 ) 8 =(1×512 + 2×64 + 3×8 + 4×1 + 5/8 + 6/64) 10 =(668.71875) 10 (1AF4.C6) 16 =(1×16 3 + A×16 2 + F×16 1 + 4×16 0 + C×16 -1 + 6×16 -2 ) 16 =(1×4096 + 10×256 + 15×16 + 4×1 + 12/16 + 6/256) 10 =(6900.7734375) 10

16
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

17
Converting between number systems

20
Between Binary, Octal, & Hexadecimal 8=2 3 (use 3 binary digits for one octal digit) 16=2 4 (use 4 binary digits for one hexadecimal digit)

Similar presentations

Presentation is loading. Please wait....

OK

Week 1.

Week 1.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on physical and chemical changes for class 6 Ppt on bluetooth energy meter Ppt on types of chemical reactions Ppt on guru granth sahib Ppt on maintenance of diesel engine Ppt on 2004 tsunami in india Download ppt on measures of dispersion Ppt on two point perspective grid Ppt on sources of energy for class 8th result Ppt on general knowledge quiz