MATH 234: Applied Engineering Math I

Spring 2014, The Citadel

SYLLABUS
SCHEDULE
HOMEWORK
EXAMS
GRADES

Week Date Reading Materials
1 Wed 1/15 Review Lecture 1: Calculus Review
Slides: Course Outline
Paul's Notes: Differentiation Review
Paul's Notes: Integration Review
Patrick's Videos: u-substitution Examples
Patrick's Videos: Integration by Parts Example
Fri 1/17 Review Lab 1: Calculus Basics, Key
Pre-Lab: Calculus Basics, Key
2 Mon 1/20 NO CLASS -- MLK DAY
Tue 1/21 Sec 7.1-7.2 Lecture 2: Vectors
Paul's Notes: The 3D Coordinate System
Paul's Notes: Vectors - The Basics
Paul's Notes: Vector Arithmetic
Patrick's Videos: Introduction to Vectors
Patrick's Vidoes: Drawing Vectors
Tue 1/21 Calculus Jeopardy -- 8:00pm
Wed 1/22 Sec 7.3-7.4 Lecture 3: Dot & Cross Product
Paul's Notes: Dot Product
Paul's Notes: Cross Product
Patrick's Videos: The Cross Product
Fri 1/24 Sec 7.1-7.4 Lab 2: Vectors, Key
Pre-Lab: Vectors, Key
3 Mon 1/27 Sec 7.6 Lecture 4: Vector Spaces
Handout: Vector Space Definitions
Tue 1/28 No Class - Citadel closed for weather
Wed 1/29 No Class - Citadel closed for weather
Fri 1/31 Sec 8.1 Lecture 5: Matrix Algebra
Patrick's Videos: Basic Matrix Operations
Patrick's Videos: Multiplying Matrices
Mathmeeting's Videos: Matrix Multiplication
4 Mon 2/3 Sec 8.1 Lecture 6: Matrix Algebra, Part 2
Handout: Computational Linear Algebra
Tue 2/4 Sec 8.2-8.3 Lecture 7: Systems of Linear Equations
Paul's Notes: Augmented Matrices
Paul's Notes: More on the Augmented Matrix
Paul's Notes: Review - Systems of Equations
Wed 2/5 Sec 8.2-8.3 Lecture 8: Systems of Linear Equations, Part 2
Patrick's Videos: Gauss-Jordan Elimination
Fri 2/7 Sec 8.2-8.3 Lab 4: Systems of Equations, Key
Pre-Lab: Systems of Equations, Key
5 Mon 2/10 Sec 8.6 Lecture 9: Determinants
Paul's Notes: Review - Matrices and Vectors
Patrick's Videos: Finding Determinant of 3x3 Matrix
Tue 2/11 Sec 8.8 Lecture 10: Matrix Inverse
Patrick's Videos: Finding Inverse of a 2x2 Matrix
Patrick's Videos: Finding Inverse of a 3x3 Matrix
Wed 2/12 No Class - Citadel closed for weather
Fri 2/14 Sec 8.8 Lecture 11: Eigenvalues & Eigenvectors
Paul's Notes: Review - Eigenvalues & Eigenvectors
6 Mon 2/17 Sec 8.8 Lab 5: Eigenvalues & Eigenvectors, Key
Pre-Lab: Eigenvalues & Eigenvectors, Key
Tue 2/18 Sec 1.1, 2.2 Lecture 12: Separation of Variables
Review: Exam 1 Outline
Paul's Notes: Separable Equations
Patrick's Videos: Separable Differential Equations
Wed 2/19 Exam 1: Ch. 7,8
Fri 2/21 Sec 1.1-1.3, 2.1 Lab 6: Intro to ODEs, Key
Pre-Lab: Intro to ODEs, Key
7 Mon 2/24 Sec 2.3 Lecture 13: Linear ODEs
Paul's Notes: Linear Equations
Tue 2/25 Sec 2.3 Lecture 14: Linear ODEs, Part 2
Patrick's Videos: First Order Linear DEs
Wed 2/26 Sec 2.5 Lecture 15: Solutions by Substitutions
Paul's Notes: Substitutions
Fri 2/28 Sec 2.3, 2.5 Lab 7: The Integrating Factor, Key
Pre-Lab: The Integrating Factor, Key
8 Mon 3/3 Sec 2.7 Lecture 16: Linear Models
Paul's Notes: Modeling with 1st Order DEs
Tue 3/4 Sec 2.7 Lecture 17: Linear Models, Part 2
Wed 3/5 Sec 2.8 Lecture 18: Nonlinear Models
Paul's Notes: Equilibrium Solutions
Patrick's Videos: The Logistic Equation
Patrick's Videos: Logistic Population Growth Example
Fri 3/7 Sec 2.7-2.8 Lab 8: Modeling, Key
Pre-Lab: Modeling, Key
9 Mon 3/10 Sec 3.1-3.2 Lecture 19: Higher Order ODEs
Paul's Notes: Reduction of Order
Tue 3/11 Sec 3.3 Lecture 20: Homogeneous Linear DEs
Paul's Notes: Basic Concepts
Paul's Notes: Real & Distinct Roots
Paul's Notes: Complex Roots
Paul's Notes: Repeated Roots
Patrick's Videos: 2nd Order Linear DEs
Wed 3/12 Sec 3.4 Lecture 21: Undetermined Coefficients
Paul's Notes: Undetermined Coefficients
Fri 3/14 NO AFTERNOON CLASSES -- Leadership Symposium
10 Mon 3/17 Sec 3.5 Lecture 22: Variation of Parameters
Paul's Notes: Variation of Parameters
Tue 3/18 Sec 3.6 Lecture 23: The Cauchy-Euler Equation
Wed 3/19 Sec 3.8 Lecture 24: Initial Value Problems
Paul's Notes: Mechanical Vibrations
Wed 3/19 Last day to withdraw with "W" grade
Fri 3/21 Sec 3.1-3.8 Lab 9: Homogeneous + Particular Solutions, Key
Pre-Lab: Homogeneous + Particular Solutions, Key
SB Mon 3/24 - Fri 3/28 NO CLASS - Spring Break
11 Mon 3/31 Sec 4.1 Lecture 25: The Laplace Transform
Handout: Table of Laplace Transforms
Paul's Notes: Definition of Laplace Transform
Patrick's Videos: Calculating a Laplace Transform
Tue 4/1 Sec 4.1 Lecture 26: The Laplace Tranform, Part 2
Paul's Notes: Laplace Transforms
Wed 4/2 Sec 4.2 Lecture 27: Inverse Laplace Transforms
Paul's Notes: Inverse Laplace Transforms
Paul's Notes: Solving IVPs with Laplace Transforms
Fri 4/4 Sec 4.1 Lab 10: Laplace Transforms, Key
Pre-Lab: Laplace Transforms, Key
12 Mon 4/7 Sec 4.2 Lecture 28: Initial Value Problems
Tue 4/8 Exam 2: Ch. 1-3
Wed 4/9 Sec 4.3 Lecture 29: The Unit Step Function
Paul's Notes: Step Functions
Paul's Notes: IVPs with Step Functions
Fri 4/11 Sec 4.2-4.3 Lab 11: Initial Value Problems, Key
Pre-Lab: Initial Value Problems, Key
13 Mon 4/14 Sec 4.5 Lecture 30: The Unit Impulse Function
Handout: Step and Impulse Forces
Paul's Notes: Dirac Delta Function
Tue 4/15 Sec 4.4 Lecture 31: Properties of Laplace Transforms
Paul's Notes: Convolution Integrals
Wed 4/16 Sec 10.1 Lecture 32: Systems of ODEs
Paul's Notes: Systems of Differential Equations
Fri 4/18 Sec 4.4-4.5, 10.1 Lab 12: Applications of Laplace Transforms
14 Mon 4/21 Sec 10.1 Lecture 33: Systems of ODEs
Paul's Notes: Phase Plane
Tue 4/22 Sec 10.2 Lecture 34: Linear ODE Systems
Paul's Notes: Solutions to Systems
Paul's Notes: Real & Distinct Eigenvalues
Wed 4/23 Sec 10.2 Lecture 35: Systems of ODEs, Part 2
Paul's Notes: Complex Eigenvalues
Paul's Notes: Repeated Eigenvalues
Fri 4/25 Sec 10.1-10.2 Lab 13: ODE Systems
15 Mon 4/28 Exam 3: Ch. 4, 10
Tue 4/29 Sec 10.4 Lecture 36: Nonhomogeneous Systems
Paul's Notes: Nonhomogeneous Systems
F Mon 5/5 Final Exam
1:00-4:00pm