Tentative Teaching Schedule – Math 2652 – Fall 2015 – John Weber
NOTE: schedule is tentative and may change.
Homework:
- NO homework will be collected; however, you are expected to be familiar with all questions listed below.
Tuesday, 18 August 2015
Introduction
Section 1.1: Background
# 1, 3, 5, 7, 9, 11, 13, 15
Section 1.3: Direction Fields
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Thursday, 20 August 2015
Section 1.2: Solutions and Initial Value Problems
# 1, 3, 5, 7, 9, 11, 13, 15
Section 1.4: The Approximation Method of Euler
Section 1.4 # 1, 3, 5, 7, 9, 11, 13
Tuesday, 25 August 2015
Section 2.2: Separable Equations
# 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 37
Section 2.3: Linear Equations
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 33, 37
Thursday, 27 August 2015
Section 2.4: Exact Equations
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 33, 35
Section 2.5: Special Integrating Factors
# 1, 3, 5, 7, 9, 11, 13, 17, 19
Tuesday, 1 September 2015
Section 2.6: Substitutions and Transformations
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43
Thursday, 3 September 2015
Section 3.1: Mathematical Modeling
Section 3.2: Compartmental Analysis
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
Section 3.3: Heating and Cooling of Buildings
# 1, 3, 5, 7, 9, 11, 13, 15
Tuesday, 8 September 2015
Section 3.4: Newtonian Mechanics
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
Section 3.5: Electrical Circuits
# 1, 3, 5, 7
Thurday, 10 September 2015
Section 3.6: Improved Euler's Method
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Section 3.7: Higher-Order Numerical Methods: Taylor and Runge-Kutta
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21
Tuesday, 15 September 2015
Test 1 [Chapters 1 and 2]
Thursday, 17 September 2015
Section 4.1: Introduction: The Mass-Spring Oscillation
# 1, 3, 5, 7, 9
Section 4.2: Homogeneous Linear Equations: The General Solution
# 1, 5, 9, 13, 17, 19, 21, 23, 26, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45
Tuesday, 22 September 2015
Section 4.3: Auxiliary Equations with Complex Roots
# 1, 5, 9, 13, 17, 21, 25, 27, 29, 31, 33
Section 4.4: Nonhomogeneous Equations: The Method of Undetermined Coefficients
# 1, 5, 9, 13, 17, 21, 25, 29, 31, 33, 35
Thursday, 24 September 2015
Section 4.5: The Superposition Principle and Undetermined Coefficients Revisited
# 1, 5, 9, 13, 17, 21, 25, 29, 33, 35, 39
Section 4.6: Variation of Parameters
# 1, 5, 9, 13, 17, 19, 21
Thursday, 1 October 2015
Section 4.7: Variable-Coefficient Equations
# 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 24, 27, 33, 35, 37, 39, 41, 45, 47
Section 4.8: Qualitative Considerations for Variable-Coefficient and Nonlinear Equations
# 1, 3, 5, 7, 9, 11, 13, 15
Thursday, 1 October 2015
Section 4.9: A Closer Look at Free Mechanical Vibrations
# 1, 3, 5, 7, 9, 11, 13, 15
Tuesday, 6 October 2015
Test 2 [Chapters 3 and 4]
Thursday, 8 October 2015
Section 5.2: Differential Operators and the Elimination Method
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29
<Tuesday, 13 October 2015
Section 5.4: Introduction to Phase Planes
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33
Thursday, 15 October 2015
Section 6.1: Basic Theory of Linear Differentials
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 33
Section 6.2: Homogeneous Linear Equations with Constant Coefficients
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31
Tuesday, 20 October 2015
Section 6.3: Undetermined Coefficients and the Anninilator Method
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 39
Section 6.4: Method of Variation of Parameters
# 1, 3, 5, 7, 9, 11, 13
Thursday, 22 October 2015
Section 7.2: Definition of Laplace Transform
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33
Section 7.3: Properties of Laplace Transform
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37
Tuesday, 27 October 2015
Section 7.4: Inverse Laplace Transforms
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41
Section 7.5: Solving Initial Value Problems
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41
Thursday, 29 Ocotber 2015
Section 7.6: Transformations of Discontinuous and Periodic Functions
# 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53
Section 7.7: Convolution
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35
Tuesday, 3 November 2015
Section 8.1: Introduction: The Taylor Approximation
# 1, 3, 5, 7, 9, 11, 13
Section 8.2: Power Series and Analytic Functions
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 34
Thursday, 5 November 2015
Section 8.3: Power Series Solutions to Linear Differential Equations
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33
Section 8.4: Equaitons with Analytic Coefficients
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29
Tuesday, 10 November 2015
Test 3 [Sections 5.2, 5.4; Chapters 6 and 7]
Thursday, 12 November 2015
Section 8.5: Cauchy-Euler (Equidimensional) Equations
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Section 8.6: Method of Frobenius
# 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41
Tuesday, 17 November 2015
Section 8.7: Finding a Second Linearly Independent Solution
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23
Section 8.8: Special Functions
# 1, 5, 9, 13, 17, 21, 23, 27, 29, 31, 33, 35, 37, 39
Thursday, 19 November 2015
Section 9.1: Introduction
# 1, 3, 5, 7, 9, 11, 13
Section 9.2: Review 1: Linear Algebraic Equations
# 1, 3, 5, 7, 9, 11, 13
Section 9.3: Review 2: Matrices and Vectors
# 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 43
Section 9.4: Linear Systems in Normal Form
# 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35
Tuesday, 24 November 2015
Test 4 [Chapter 8]
Wednesday, 29 April 2015
Section 9.5: Homogeneous Linear Systems with Constant Coefficients
# 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 39, 41, 43
Section 9.6: Complex Eigenvalues
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21
Section 9.7: Nonhomogeneous Linear Systems
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33