Math in Engineering foundation
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Transcript of Math in Engineering foundation
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This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
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Mathematics can not be learnt like other subjects
MA
TH
IS N
OT
DIFFIC
ULT
BU
T D
IFFER
EN
T
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TOUGHTEACHERS
WEAKFOUNDATION
DIFFERENTSUBJECT
LIMITEDTIME
DIFFERENT SKILLS
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MATH IS NOT FOR ME
I AM NOT FOR MATH
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YOU CAN’T
H AT E M AT H E M AT I C S&
U N D E R S TA N D I T AT THE SAME TIMEThis Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
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6 0 , 0 0 0 / 7 0 0 0 Y E A R S
Almost true …
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ARITHMATIC ALGEBRA
CALCULATIONSCOMPUTING
MEASUREMENT
ANALYSIS
COUNTING
CALCULUS STATISTICS
S O C I A L D E V E L O P M E N T
NUMBERS
P R E H I S T O R I C I N F O R M A T I O NA G R I C U L T U R A L I N D U S T R I A L
GEO SPACE, SHAPES
LIVING HUNTING TRADING GOVERNANCE EMPIRESTRAVELLING RELIGION WAR INDUSTRY INFORMATION
FREQUENCY RATEANGLE CHANGEREPRESENTATION
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AESTHETICSFUN
POWER LEAD
NEED
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This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
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KNOWN
UNKNOWN
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A LT E R N AT E
A N Y S I M I L A R T O O L S
I D E N T I F I C AT I O N
W H AT I S T H I S
W H Y I T W A S M A D E
P U R P O S E
H I S T O R Y
W H O M A D E I TP R O F E S S I O N W H O A R E T H E U S E R S
P R A C T I C E
H O W T O U S E T H I S
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MATHEMATICS IS LIKE AN
“INTELLECTUAL TOOL BOX”
ENGINEERS NORMALLY USE THIS TO COMPUTECALCULATEESTIMATEPREDICTANALYZEFINDDETERMINE ETC
CALCULUS
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PURPOSE
CUTTING
JOINING
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REAL LIFE UNKNOWNS
AC
TU
AL W
OR
LD
INPUTS
FIND THESEUNKNOWNS
MIN
D W
OR
LD
OUTPUTS
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C O M M U N I C A T I O N
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O P I N I O N I S
A D D E D
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A S A L A N G U A G EHIGHLY
OBJECTIVE
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This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
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THIS SYMBOL ONLY REPRESENTS
HAPPENING OF SOMETHING“VERY RAPIDLY”
X
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ex
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M U C H
W I L LW A S
M A N Y
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SEE THROUGH MATH
F O R B E T T E R U N D E R S TA N D I N G O N E H A S T O D E S C E N D T O
T H E A P P R O P R I AT E L AY E R
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M U C HM A N Y
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M U C H
W I L L
M A Y
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0 10 20
MINS
1
2
FLOW
RA
TE
2.5
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M U C H
W I L LW A S
M A N Y
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MANY MUCH WILL WAS
( THOUGH IN-SEPERABLE)MANY- MUCH- WILL – WAS
KINDS, TYPES, COST, TIME, CAPACITY, DEPRECIATION ETC
GROW, BEHAVE, PERFORM, EMERGE, RESPOND, ENTAIL ETC
PERFORMANCE,CONFORMANCE ETC
ITEM (ENTITY)NOUN
VALUE (RELATION) PARAMETER (CHANGE)PROCESS
DATA (OCCURRED)
PRESENT PRESENT FUTURE PAST
IDENTIFICATION CALCULATION PREDICTIONS ANALYSIS
LANGUAGE, CONFLICT AVOIDANCE MECHANISM
ESTIMATING, CALCULATING FOR CONFLICT AVOIDANCE
ESTIMATING ,JUDGING, ASSESSING, PLANNING, KNOWING
JUDGING, FORECASTING
COUNTING COMPUTING DETERMINING ANALYZINGGROUPS, ITEMS, PARTS DERIVE UNKNOWNS FROM
KNOWNSKIND, MANNER, RATE
ETCPATTERN,
OCCURRENCES
CRITERION, PURPOSE FORMULAS HELP MORE VISUAL REPRESENTATION HELPS MORE
VISUALREPRESENTATION
HELPS MORE
NUMBERS, FRACTIONS, SETS
FORMULAS, EQUATIONS FUNCTIONS TABULATED DATA
AIRTHMETICSGEOMETRY
ALGEBRATRIGNOMETRY
CALCULUSLINEAR ALGEBRA
PROBABILITYSTATISTICSThis Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
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MATHEMATICS
IMAGINATIONVISUALIZATION
THINKINGMATCHING
COMPARINGREPRESENTATION ETC
REUSEABLEFORMULAS
DISCOVERIES
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1 2 3 4 5 6 7
1 2 3 4 5 6 7
O D D &
E V E N
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MUSCLE POWER
C O N C R E T E U N D E R S T A N D I N G PURPOSE
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PURPOSE
𝒆𝒙 = 𝟏 +𝒙
𝟏!+𝒙𝟐
𝟐!+
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DOES THIS MAKE SENSE ?
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WHAT ABOUT THIS?
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60This Work is the Property of Engr Dr Qaiser Hameed Malik and Engr Naveed Zafar
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61
Q&A
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