Ordinary Differential Equations
MST 251
Spring 2022
Objectives:
During this course, students will develop their skill in using differential equations to model and solve mathematical problems. These skills include:
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Course Documents and Links:
Syllabus
Course Spreadsheet / Record
Homework guidelines
Canvas
Example Class Notes
Integration review
Final topics
Workbook:
Homework:
Code:
Hints and tips for writing notes in an inquiry-oriented course:
Syllabus
Course Spreadsheet / Record
Homework guidelines
Canvas
Example Class Notes
Integration review
Final topics
Workbook:
- Unit 1: Qualitative and Graphical Approaches
- Unit 2: A Numerical Approach
- Unit 3: An Analytical Approach
- Unit 4: Linear Differential Equations
- Unit 5: The Runge-Kutta Method
- Unit 6: Uniqueness of Solutions
- Unit 7: Second Order Linear DEs
- Unit 8: Series Solutions
- Unit 10: Introduction to Systems
- Whole workbook so far
Homework:
- HW1: Unit 1 Exercises (solutions)
- HW2: Unit 2 Exercises; Unit 3 Exercises # 1, 2, 4, 5 (solutions)
- HW3: Unit 3 Exercises # 3, 6, 7; Unit 4 Exercises (solutions)
- HW4: Unit 5 Exercises (solutions)
- HW5: Unit 6 Exercises # 1 - 5 (solutions)
- HW6: Unit 6 Exercises # 6 - 8; Unit 7 Exercises # 1, 3 - 5 (solutions)
- HW7: Unit 7 Exercises # 6, 8 - 13 (solutions)
- HW8: Unit 8 Exercises # 1 - 5 (solutions)
Code:
Hints and tips for writing notes in an inquiry-oriented course:
- Review what we did in class after each class
- Write a page or two summarizing definitions, theorems, methods, and/or examples
- Try to work out the examples fresh, without following or covering up your prior work
- What do you typically include in your class notes? Remember to put these items in your notes for this class!