MATH 234: Applied Engineering Math I

Spring 2015, The Citadel

SYLLABUS
SCHEDULE
HOMEWORK
EXAMS
GRADES

Week Date Reading Materials
1 Wed 1/14 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
Thur 1/15 1.1-1.3, 2.1 Lecture 2: Introduction to ODEs
Paul's Notes: Definitions
Paul's Notes: Direction Fields
Fri 1/16 1.1-1.3, 2.1 Lab 1: Introduction to ODEs, Key
Pre-lab 1: Introduction to ODEs, Key
2 Mon 1/19 NO CLASS -- MLK Day
Wed 1/21 2.2 Lecture 3: Separation of Variables
Paul's Notes: Separable Equations
Patrick's Videos: Separable Differential Equations
Thur 1/22 2.3 Lecture 4: The Integrating Factor Method
Paul's Notes: Linear Equations
Patrick's Videos: First Order Linear DEs
Fri 1/23 2.2-2.3 Lab 2: First Order ODEs, Key
Pre-Lab 2: First Order ODEs, Key
3 Mon 1/26 2.5 Lecture 5: Solutions by Substitutions
Paul's Notes: Substitutions
Wed 1/28 2.7 Lecture 6: Linear Models
Paul's Notes: Modeling with 1st Order DEs
Thur 1/28 2.8 Lecture 7: Nonlinear Models
Paul's Notes: Equilibrium Solutions
Patrick's Videos: The Logistic Equation
Patrick's Videos: Logistic Population Growth Example
Fri 1/30 2.5-2.8 Lab 3: Modeling with ODEs, Key
Pre-Lab 3: Modeling with ODEs, Key
4 Mon 2/2 3.1-3.2 Lecture 8: Higher Order ODEs
Paul's Notes: Reduction of Order
Wed 2/4 3.3 Lecture 9: Homogeneous Linear ODEs with Constant Coefficients
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
Thur 2/5 3.4 Lecture 10: Undetermined Coefficients
Paul's Notes: Undetermined Coefficients
Fri 2/6 3.1-3.4 Lab 4: 2nd Order ODEs, Key
Pre-Lab 4: 2nd Order ODEs, Key
5 Mon 2/9 3.5 Lecture 11: Variation of Parameters
Paul's Notes: Variation of Parameters
Wed 2/11 3.6 Lecture 12: The Cauchy-Euler Equation
Thur 2/12 3.8 Lecture 13: Initial Value Problems
Paul's Notes: Mechanical Vibrations
Fri 2/13 3.5-3.8 Lab 5: Homogeneous + Particular Solutions, Key
Pre-Lab 5: Homogeneous + Particular Solutions, Key
6 Mon 2/16 4.1 Lecture 14: The Laplace Transform
Paul's Notes: Definition of Laplace Transform
Patrick's Videos: Calculating a Laplace Transform
Wed 2/18 4.1 Lecture 15: The Laplace Transform, Part 2
Handout: Table of Laplace Transforms
Paul's Notes: Laplace Transforms
Thur 2/19 Exam 1: Chapter 1-3
Fri 2/20 4.1 Lab 6: Laplace Transforms, Key
Pre-Lab 6: Laplace Transforms, Key
7 Mon 2/23 4.2 Lecture 16: Partial Fractions Review
Paul's Notes: Partial Fractions
Wed 2/25 4.2 Lecture 17: The Inverse Laplace Transform
Paul's Notes: Inverse Laplace Transforms
Paul's Notes: Solving IVPs with Laplace Transforms
Thur 2/26 4.4 Lecture 18: Properties of Laplace Transforms
Paul's Notes: Convolution Integrals
Fri 2/27 4.2, 4.4 Lab 7: Inverse Laplace Tranforms, Key
Pre-Lab 7: Inverse Laplace Transforms, Key
8 Mon 3/2 4.3 Lecture 19: The Unit Step Function
Paul's Notes: Step Functions
Paul's Notes: IVPs with Step Functions
Wed 3/4 4.5 Lecture 20: The Unit Impulse Function
Paul's Notes: Dirac Delta Function
Thur 3/5 4.5 Lecture 21: Solving IVPs with Laplace Transforms
Fri 3/6 4.3, 4.5 Lab 8: Initial Value Problems
9 Mon 3/9 7.1-7.2 Lecture 22: 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
Wed 3/11 7.3-7.4, 7.6 Lecture 23: Vector Operations
Paul's Notes: Dot Product
Paul's Notes: Cross Product
Patrick's Videos: The Cross Product
Thur 3/12 Exam 2: Chapter 4
Fri 3/13 7.1-7.4, 7.6 Lab 9: Fun with Vectors
10 Mon 3/16 8.1 Lecture 24: Matrix Algebra
Patrick's Videos: Basic Matrix Operations
Patrick's Videos: Multiplying Matrices
Mathmeeting's Videos: Matrix Multiplication
Wed 3/18 8.1 Lecture 25: Matrix Algebra, Part 2
Handout: Computational Linear Algebra
Last day to withdraw with "W"
Thur 3/19 8.6 Lecture 26: Determinants
Paul's Notes: Review - Matrices and Vectors
Patrick's Videos: Finding Determinant of 3x3 Matrix
Fri 3/20 8.1-8.3 Lab 10: Fun with Matrices
SB 3/23-3/27 NO CLASS - Spring Break
11 Mon 3/30 8.2-8.3 Lecture 27: Gauss-Jordan Elimination
Paul's Notes: Augmented Matrices
Paul's Notes: More on the Augmented Matrix
Paul's Notes: Review - Systems of Equations
Wed 4/1 8.2-8.3 Lecture 28: Systems of Linear Equations
Patrick's Videos: Gauss-Jordan Elimination
Thur 4/2 8.8 Lecture 29: The Inverse of a Matrix
Patrick's Videos: Finding Inverse of a 2x2 Matrix
Patrick's Videos: Finding Inverse of a 3x3 Matrix
Fri 4/3 8.6, 8.8 Lab 11: Solving Systems of Equations
12 Mon 4/6 8.8 Lecture 30: Eigenvalues & Eigenvectors
Paul's Notes: Review - Eigenvalues & Eigenvectors
Wed 4/8 8.8 Lecture 31: Complex Eigenvalues
Thur 4/9 10.1 Lecture 32: Introduction to Systems of DEs
Fri 4/10 8.8, 10.1 Lab 12: Fun with Eigenvalues
13 Mon 4/13 10.2 Lecture 33: Systems with Real Eigenvalues
Paul's Notes: Phase Plane
Paul's Notes: Repeated Eigenvalues
Wed 4/15 10.2 Lecture 34: Systems with Complex Eigenvalues
Paul's Notes: Complex Eigenvalues
Thur 4/16 10.4 Lecture 35: Nonhomogeneous Systems
Paul's Notes: Nonhomogeneous Systems
Fri 4/17 10.2, 10.4 Lab 13: Solving Systems of ODEs
14 Mon 4/20 10.4 Lecture 36: Applications of Systems
Wed 4/22 10.4 Lecture 37: Applications of Systems, Part 2
Thur 4/23 Exam 3: Chapter 7-8, 10
Fri 4/24 10.4 Lab 14: Fun with Systems
15 Mon 4/27 Review: Gym Battle
F Final Exam
Friday 5/1, 1:00-4:00pm