Fall 2025
Math 30300: Differential Equations And Partial Differential Equations For Engineering And The Sciences
Course Day & Time: MWF 12:30 - 1:20 PM
In-Person Office Hours will be held in ET 314J
□ Times: MWF 9 - 10 AM (or by appt)
Course Calendar
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Week 1 |
Monday |
Wednesday |
Friday |
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8/25/2025 |
8/27/2025 |
8/29/2025 |
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Lesson 1: (Notes)
□ Course Information
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Lesson 2: (Notes)
□ Section 5.2: The Eigenvalue Method for Homogeneous Systems
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Lesson 3: (Notes)
□ Section 5.5: Multiple Eigenvalue Solutions (Part 1)
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Week 2 |
Monday |
Wednesday |
Friday |
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9/1/2025 |
9/3/2025 |
9/5/2025 |
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NO CLASS (LABOR DAY)
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Lesson 4: (Notes)
□ Section 5.5: Multiple Eigenvalue Solutions (Part 2)
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Lesson 5: (Notes)
□ Section 5.3: A Gallery of Solution Curves of Linear Systems
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Check-In 1 Due (via Brightspace)
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Week 3 |
Monday |
Wednesday |
Friday |
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9/8/2025 |
9/10/2025 |
9/12/2025 |
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Lesson 6: (Notes)
□ Section 6.1: Stability and the Phase Plane
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Lesson 7: (Notes)
□ Section 6.2: Linear and Almost Linear Systems (Part 1)
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Lesson 8: (Notes)
□ Section 6.2: Linear and Almost Linear Systems (Part 2)
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Check-In 2 Due (via Brightspace)
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Week 4 |
Monday |
Wednesday |
Friday |
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9/15/2025 |
9/17/2025 |
9/19/2025 |
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Lesson 9: (Notes)
□ Section 6.3: Eceological Models: Predators and Competitors
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Lesson 10: (Notes)
□ Section 2.4: Numerical Approximation: Euler's Method
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Lesson 11: (Notes)
□ Section 2.5: A Closer Look at the Euler Method
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Check-In 3 Due (via Brightspace)
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Week 5 |
Monday |
Wednesday |
Friday |
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9/22/2025 |
9/24/2025 |
9/26/2025 |
Lesson 12: (Notes)
□ Section 2.6: The Runge-Kutta Method (Part 1)
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Lesson 13: (Notes)
□ Section 2.6: The Runge-Kutta Method (Part 2)
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Lesson 14: (Notes)
□ Section 9.1: Periodic Functions and Trigonometric Series
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Check-In 4 Due (via Brightspace)
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Week 6 |
Monday |
Wednesday |
Friday |
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9/29/2025 |
10/1/2025 |
10/3/2025 |
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Exam 1 Review
Study Guides (TBA)
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EXAM 1 □ Lesson(s) Covered: 1 - 13 □ Time: IN-CLASS □ Location: IN-CLASS
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Lesson 15: (Notes)
□ Section 9.2: General Fourier Series and Convergence
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Week 7 |
Monday |
Wednesday |
Friday |
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10/6/2025 |
10/8/2025 |
10/10/2025 |
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Lesson 16: (Notes)
□ Section 9.3: Fourier Sine and Cosine Series (Part 1)
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Lesson 17: (Notes)
□ Section 9.3: Fourier Sine and Cosine Series (Part 2)
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Lesson 18: (Notes)
□ Section 9.4: Applications of Fourier Series (Part 1)
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Check-In 5 Due (via Brightspace)
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Week 8 |
Monday |
Wednesday |
Friday |
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10/13/2025 |
10/15/2025 |
10/17/2025 |
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NO CLASS (FALL BREAK)
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Lesson 19: (Notes)
□ Section 9.4: Applications of Fourier Series (Part 2)
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Lesson 20: (Notes)
□ Section 9.5: Heat Conduction and Separation of Variables (Part 1)
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Check-In 6 Due (via Brightspace)
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Week 9 |
Monday |
Wednesday |
Friday |
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10/20/2025 |
10/22/2025 |
10/24/2025 |
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Lesson 21: (Notes)
□ Section 9.5: Heat Conduction and Separation of Variables (Part 2)
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Lesson 22: (Notes)
□ Section 9.6: Vibrating Strings and the One-Dimensional Wave Equation (Part 1)
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Lesson 23: (Notes)
□ Section 9.6: Vibrating Strings and the One-Dimensional Wave Equation (Part 2)
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Check-In 7 Due (via Brightspace)
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Week 10 |
Monday |
Wednesday |
Friday |
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10/27/2025 |
10/29/2025 |
10/31/2025 |
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Lesson 24: (Notes)
□ Section 9.7: Steady-State Temperature and Laplace's Equation (Part 1)
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Lesson 25: (Notes)
□ Section 9.7: Steady-State Temperature and Laplace's Equation (Part 2)
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Lesson 26: (Notes)
□ Section 10.1: Sturm-Liouville Problems and Eigenfunction Expansions (Part 1)
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Check-In 8 Due (via Brightspace)
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Week 11 |
Monday |
Wednesday |
Friday |
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11/3/2025 |
11/5/2025 |
11/7/2025 |
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Lesson 27: (Notes)
□ Section 10.1: Sturm-Liouville Problems and Eigenfunction Expansions (Part 2)
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Lesson 28: (Notes)
□ Section 7.1: Laplace Transforms and Inverse Transforms
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Lesson 29: (Notes)
□ Section 7.2: Transformation of Initial Value Problems
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Check-In 9 Due (via Brightspace)
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Week 12 |
Monday |
Wednesday |
Friday |
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11/10/2025 |
11/12/2025 |
11/14/2025 |
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Exam 2 Review
Study Guides (TBA)
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EXAM 2 □ Lesson(s) Covered: 14 - 27 □ Time: IN-CLASS □ Location: IN-CLASS
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Lesson 30: (Notes)
□ Section 7.3: Translation and Partial Fractions (Part 1)
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Week 13 |
Monday |
Wednesday |
Friday |
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11/17/2025 |
11/19/2025 |
11/21/2025 |
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Lesson 31: (Notes)
□ Section 7.3: Translation and Partial Fractions (Part 2)
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Lesson 32: (Notes)
□ Section 7.4: Derivatives, Integrals, and Products of Transforms (Part 1)
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Lesson 33: (Notes)
□ Section 7.4: Derivatives, Integrals, and Products of Transforms (Part 2)
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Check-In 10 Due (via Brightspace)
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Week 14 |
Monday |
Wednesday |
Friday |
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11/24/2025 |
11/26/2025 |
11/28/2025 |
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NO CLASS
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NO CLASS (THANKSGIVING BREAK)
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NO CLASS (THANKSGIVING BREAK)
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Check-In 11 Due (via Brightspace)
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Week 15 |
Monday |
Wednesday |
Friday |
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12/1/2025 |
12/3/2025 |
12/5/2025 |
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Lesson 34: (Notes)
□ Section 7.5: Periodic and Piecewise Continuous Functions (Part 1)
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Lesson 35: (Notes)
□ Section 7.5: Periodic and Piecewise Continuous Functions (Part 2)
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Lesson 36: (Notes)
□ Section 7.6: Impulses and Delta Functions (Part 1)
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Check-In 12 Due [up to Sunday] (via Brightspace)
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Week 16 |
Monday |
Wednesday |
Friday |
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12/8/2025 |
12/10/2025 |
12/12/2025 |
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Lesson 37: (Notes)
□ Section 7.6: Impulses and Delta Functions (Part 2)
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Review for Final Exam
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Review for Final Exam
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Finals Week |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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12/15/2025 |
12/16/2025 |
12/17/2025 |
12/18/2025 |
12/19/2025 |
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NO CLASS
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NO CLASS
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NO CLASS
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