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### diffyqs

Course: AEROSPACE mae260, Spring 2012
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Word Count: 78489

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on Notes Diffy Qs Differential Equations for Engineers by Ji Lebl r October 24, 2011 2 A Typeset in LTEX. Copyright c 20082011 Ji Lebl r This work is licensed under the Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License. To view a copy of this license, visit http://creativecommons.org/ licenses/by-nc-sa/3.0/us/ or send a letter to Creative Commons, 171 Second Street, Suite 300,...

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Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
MAE 260. Homework Assignment #4Issued: Nov. 10, 2011 Due: Nov. 24, 2011 (in class) 1. The trace of a square matrix A Rnn , denoted as Tr(A) stands for the sum of all the diagonal elements: Tr(A) = Show that: (a) Tr(AB) = Tr(BA). (b) Tr(ABC) = Tr(BCA) = T
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
MAE 260. Homework Assignment #4Issued: Nov. 30, 2011 Due: Dec. 8, 2011 (in class) 1. Find all solutions to the system of linear equation: 3x1 + 4x2 - x3 + 2x4 = 6 x1 - 2x2 + 3x3 + x4 = 2 10x2 - 10x3 - x4 = 12. Suppose you solve Ax = b for three special
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
MAE 260. Homework Assignment #6Issued: Dec. 8, 2011 Due: Dec. 20, 2011 (in exam) 1. Suppose we have bacteria on a plate and suppose that we are slowly adding a toxic substance such that the rate of growth is slowing down. That is suppose that dP = (2 - 0
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
MAE260 Lecture 8 Linear Algebra: Part INovember 10, 2011Fall 2011MatricesMAE260 81 Some notations: v Rn: v is a n-dimensional vector whose entries are all real. A Rnm: A is a m by n matrix whose entries are all real We can also define vectors and ma
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
MAE260 Lecture 8 Linear Algebra: Part INovember 24, 2011Fall 2011MatricesMAE260 81 Some notations: v Rn: v is a n-dimensional vector whose entries are all real. A Rnm: A is a m by n matrix whose entries are all real We can also define vectors and ma
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
[Fall 2011] MAE 260Elementary Mathematics for Aerospace MechanicsInstructors: Prof. Seung-O Park and Prof. Han-Lim Choi Session: 9:00 - 10:30 (Mon, Wed)This course deals with fundamental mathematical theories and skills often used in major subjects in
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
Korea Advanced Institute of Science and Technology - AEROSPACE - mae260
FGCU - ENGLISH - 154823
Brief Summary Mary and John are in the process of getting married, but before they get married, Mary and John are attempting to solve financial issues along with relationship issues. Mary feels as if she has been taken advantage of by John because of some
UNSW - FINS - 5513
1FINS 5513 Investments and Portfolio Selection University of New South Wales Semester 1 2012 Week 1 Russell JameBrief Road Map2Part 1: Introduction (Jame) Introduction to different asset classes How are assets traded? Mutual Funds and other Investme
UNSW - FINS - 5513
1FINS 5513 Investments and Portfolio Selection University of New South Wales Semester 1 2012 Week 2 Russell Jame2Buying on Margin &amp; Short SellingBKM 3.6-3.7Buying on Margin3Buying on Margin Borrow cash to buy more of the asset Incur liability to
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1FINS 5513 Investments and Portfolio Selection University of New South Wales Semester 1 2012 Week 3 Russell Jame2Utility theory BKM 6.1Utility Theory3Different assets will come from different PDFs and will have different: Expected returns Variance
UNSW - FINS - 5513
1FINS 5513 Investments and Portfolio Selection University of New South Wales Semester 1 2012 Week 4 Russell Jame2Optimal Risky portfolios BKM 7.1 7.2Portfolio of two risky assets3Last week we attempted to create optimal portfolios when choosing betw
Alabama - BIO - 2000
Bioenergetics Energy TransformationsA Fundamental Property of Living Organisms2/13/12MCB 2000 Lecture 9Chemical reactions raise 2 basic questions: What will happen, i.e., what direction will the reaction proceed?A TP + H 2 O K'eq [ADP] [Pi] [H+] = a
Alabama - BIO - 2000
Enzyme RegulationCritical for Adaptation2/29/12MCB 2000 Lecture 14Mechanisms of enzyme regulation Catalytic activity of an enzyme is regulated so that the amount of a product is sufficient to meet the needs of the cell Enzymes can exhibit a range of
Alabama - BIO - 2000
Thematic Questions How and why do structures form? What is the relationship between structure and function? How do cells adapt to changes in the environment? How do physiological demands for energy alter metabolism? How and why are metabolic pathways inte
Alabama - BIO - 2000
D. The relationship between protein structure and function: Hemoglobin (Hb) and Myoglobin (Mb) as examples Similarities and differences between Hemoglobin and Myoglobin Myoglobin stores oxygen in muscle Hemoglobin transports oxygen, CO2, H+ Single polypep
Alabama - BIO - 2000
Introduction to Metabolism `The Big Picture'fed fasted3/19/12MCB 2000 Lecture 18Metabolism Involves: A balancing act: homeostasis Maintaining a constant level of blood glucose why is this necessary? how is this accomplished? Redistribution of chemi
Alabama - BIO - 2000
Protein Structure &amp; Function How do we go from linear sequence to folded structure to folded structure? Protein folding a) levels of protein structure i. primary, secondary, tertiary, quaternary ii. characteristics of each b) significance of Anfinsen's ri
Alabama - BIO - 2000
The Folding Problem1/30 and 2/1/12MCB 2000 Lecture 6How do we go from linear sequence to folded structure?1/30 and 2/1/12MCB 2000 Lecture 6Lecture Outline: Protein Structure &amp; FunctionHow do we go from linear sequence to folded structure? Protein
Alabama - BIO - 2000
The Peptide Bond:Formation and Properties1/30/12MCB 2000 Lecture 5Formation of a Peptide Bond Condensation Reaction Water is eliminated.(dehydration)This reaction is carried out by a catalytic RNA located in the ribosome.1/30/12 MCB 2000 Lecture
Alabama - BIO - 2000
The Peptide Bond: Formation and Properties Formation of a Peptide Bond Condensation Reaction Water(dehydration) is eliminated A peptide chain(or protein) has directionality:What type functional group is represented in the peptide bond? Characteristics of
Alabama - BIO - 2000
Signal Transduction Part 2How do cells sense and process information?3/9/12MCB 2000 Lecture 17Receptor Tyrosine KinasesThe Insulin Receptor3/9/12MCB 2000 Lecture 17The insulin receptor is a tyrosine kinase that becomes activated on insulin binding
Alabama - BIO - 2000
Kinetics of Uninhibited Enzyme2.5f(x) = 0.0225928571x + 0.3762857143 2 f(x) = 0.022525x + 0.1911428571 f(x) = 0.0215857143x + 0.0782857143 1mM Linear Regression for 1mM 0.75mM Linear Regression for 0.75mM 0.5mM Linear Regression for 0.5mM 0.25mM Linear
Alabama - BIO - 2000
How does the cellular environment influence molecular interactions? I. What makes water essential for life? water as an organizing principle water as a solvent water as a reactant water is the environment(or solvent) in which the reactions and interaction
Alabama - BIO - 2000
What chemical properties contribute to water's uniqueness? Polarity and H - bonding a) leads to hydrogen bonding b) contribute to its uniqueness Reversible ionization a) dissociation of water is an equilibrium reaction b) equilibrium can be shifted in one
Alabama - BIO - 2000
Reactions What will happen? Thermodynamics predicts the direction of a chemical reaction. How fast will the reaction occur? Even if a reaction has a favorable G and can occur spontaneously, the rate may be too slow for a metabolic process.2/17 and 2/
Alabama - BIO - 2000
How does the cellular environment influence molecular interactions?1/20/12MCB 2000 Lecture 1WhatMakesWaterEssentialForLife?1/20/12MCB 2000 Lecture 1What makes water essential for life? Wateras an organizing principle Water as solvent Water as
Alabama - BIO - 2000
Hemoglobin &amp; Myoglobin Illustrates important concepts a) relationship between protein structure &amp; function b) importance of noncovalent interactions i. reversible binding of a ligang to a protein c) buffering capacityHemoglobin functions as a buffer in
Alabama - BIO - 2000
Hemoglobin &amp; Myoglobin Illustrates important concepts Relationship between protein structure &amp; function Importance of noncovalent interactions Reversible binding of a ligand to a protein Buffering capacity2/6/12MCB 2000 Lectures 7 &amp; 8Hemoglobin &amp; M
Alabama - BIO - 2000
What causes a protein to misfold?Shape = Destiny In Vivo vs. In Vitro2/3/12MCB 2000 Lecture 6 Part 2Protein Denaturation:In Vitro Loss of secondary and higher order structureProteins have optimal pH and temperature at which they function. Noncovalen
Alabama - BIO - 2000
What causes a protein to misfold? Shape = Destiny Protein Denaturation: loss of secondary and higher order structure proteins have optimal pH and temperature at which they function. noncovalent interactions are disrupted: peptide bonds are not. Protein de
Alabama - BIO - 2000
Allosteric Enzymes-DO NOT show Michaelis-Menten kineticsAllostericMichaelis-MentenSigmoidal Hyperbolic2/27/12MCB 2000 Lecture 13What do we mean by allosteric? Allosteric-derived from the Greek-meaning other shape Characterized by sigmoidal kinetics
Alabama - BIO - 2000
Signal TransductionHow do cells sense and process information?Molecular Circuits3/5 and 3/7/12MCB 2000 Lecture 16Signal Transduction: An Adaptive Response Signals Receptors cellular location Signal amplification G proteins Second messengers Activa
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Lecture Outline Amino acids a) importance of ionizable groups-acid base properties b) chemical &amp; structural features c) classification-important types of noncovalent interactions that determine protein structure General Structure of an Amino Acid at pH 7.
Alabama - BIO - 2000
Lecture Outline: Amino acids Importance of ionizable groups-acid base properties Chemical &amp; structural features Classification-important for types of noncovalent interactions that determine protein structure1/27/12MCB 2000 Lecture 4General Structure
Alabama - BIO - 2000
Questions How do cells interact with their environment? How is matter and energy exchanged? What are the properties and characteristics of biological membranes that are important for this interaction?2/29 &amp; 3/2/12MCB 2000 Lecture 15Membrane Composit
Alabama - BIO - 2000
What chemical properties contribute to water's uniqueness? Part 21. Polarity and H-bonding 2. Reversible ionization1/23 and 1/25/12MCB 2000 Lectures 2 &amp; 3Water, pH, BuffersLecture Outline Water: common but so unique Chemical properties that contribu
Alabama - BIO - 2000
Graded Potentials / Action PotentialsLearning Outcomes: Describe how excitable cells produce graded potentials Define the stages of an action potential Describe the ionic mechanism of the action potential Relate equilibrium potentials for Na+, K+ and Cl
Alabama - BIO - 2000
V. ARTICULATIONS Learning Outcomes - Student will be able to: Use appropriate terminology to describe anatomical structure and define joint movements Classify joints by structure and function Describe the structure and function of: Fibrous joints Cartil
Alabama - BIO - 2000
XX. Autonomic Nervous System 2011 Kimball Learning Outcomes: Be able to: Describe the anatomy of the sympathetic and parasympathetic nervous system including origin of preganglionic neurons, ganglia, and target organs for postganglionic neurons Describe i
Alabama - BIO - 2000
11/14/2011Autonomic Nervous SystemLearning Outcomes: Be able to: Describe the anatomy of the sympathetic and parasympathetic nervous system including i i f i l di origin of preganglionic neurons, ganglia, and target organs for li i li d f postganglionic
Alabama - BIO - 2000
Bone Physiology &amp; AnatomyBone Tissue List functions of bone Describe the gross structure of a long bone Describe the histology of bone tissue. Compare and contrast spongy and compact bone Describe endochondral bone formation Describe how a long bone grow
Alabama - BIO - 2000
Cell Membrane Structure Membrane phospholipids are AMPHIPATHIC polar (hydrophilic) and nonpolar (hydrophobic) regions Polar regions of amphipathic molecules form hydrogen bonds with water. When mixed with water, phospholipids spontaneously assemble to for
Alabama - BIO - 2000
Chapter 2 How do cells provide protection and support to the body? Different cells provide different types of protection and support to the body. Bone cells secrete a mineralized matrix, making the bone a strong structure that protects soft tissues such a
Alabama - BIO - 2000
Chapter 5 What are the main physiologic functions of bone? The main functions of bone include support , protection, movement, storage, and blood cell productions. What properties of bone allow it to perform the main physiologic functions of bone? The phys
Alabama - BIO - 2000
XIV. OVERVIEW: ANATOMY OF CENTRAL NERVOUS SYSTEM Learning Objectives: The student will be able to Describe the anatomy of the spinal cord List the ascending and descending fiber tracts within the spinal cord Describe the structure of a nerve Describe th
Alabama - BIO - 2000
10/14/2011Learning Outcomes: Using the companion Neuroanatomy handout (outline XIV), the student will be able to: Describe the anatomy of the spinal cord List the ascending and descending fiber tracts within the spinal cord Describe the structure of a ne
Alabama - BIO - 2000
The Human Organism*Definitions:* Anatomy = STRUCTURE of the body * Physiology = How the body FUNCTIONS*Major Organizing Principles:* STRUCTURE/FUNCTION Relationship Hierarchical Organization Structure is adapted to function* HOMEOSTASIS * Cell-to
Alabama - BIO - 2000
XXI. Endocrine System I 2011 Compare and contrast the nervous and endocrine systems Classify hormones by function Classify hormones by structure Compare and contrast steroidal vs. non-steroidal hormones Describe permissiveness Describe the mechanism of ac
Alabama - BIO - 2000
Endocrine SystemCh. 17Overview of Endocrine Glands1Learning Outcomes Be able to:Compare and contrast the nervous and endocrine systems Classify hormones by function Classify hormones by structure Compare and contrast steroidal vs. non-steroidal hormo
Alabama - BIO - 2000
Higher Level Control Systems Learning Outcomes Be able to: List examples of nervous control of hormone secretion Describe regulation and effects of Growth Hormone Describe regulation and effects of Thyroid Hormone Describe how Thyroid hormone is synthesiz
Alabama - BIO - 2000
Higher Level Control SystemsLearning Outcomes Be able to: List examples of nervous control of hormone secretion Describe regulation and effects of Growth Hormone Describe regulation and effects of Thyroid Hormone Describe how Thyroid hormone is synthesiz