Math 305 | Introduction to Differential Equations | Spring 2018 |
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**Course:**MATH 305, Section 1, CRN 22219**Time:**MWF 8:00-8:50 (Yuck!)**Classroom:**Neckers 218**Textbook:***Elementary Differential Equations & Boundary Value Problems*10th edition, by Boyce & DiPrima. Amazon Wiley B&N**Suggested Supplement:***Schaum's Outline of Differential Equations*, by Bronson & Costa. Amazon**Instructor:**Professor Sullivan**Office:**Neckers 385**E-mail:**Prof.Michael.Sullivan (at) gmail (dot) com**Phone:**453-6592**Office hours:**MWF 12-2**General University Info**

Test 1 Review Material

Test 1 SolutionsTest 2 Review Material

Test 2 Solutions**Handouts****Optional Reading and Viewing**- Optional Reading on Vector Spaces
- Chapter 6: Laplace Transforms (Not included in Math 305, but is used in some engineering courses.)
- Just for fun! It is called the Chladni plate experiment, first done by Ernst Chladni (1756-1827)
- Math behind the Chladni plate experiment

**Lecture Notes**- Pages 1-38 Contents of page 1-38.
- Maxima Example from here.
- Pages 39-56 Section 2.3
- Pages 57-63 Section 2.5
- Exact Equations Section 2.6
- Reducible Second Order Equations
- Numerical Methods Section 2.7 Speadsheet for example.
- Outline of Chapter 3.
- Real Roots Sections 3.1 & 3.4
- Reduction of Order Section 3.4, second half.
- Test I covers the above material.
- Complex Roots Section 3.3
- Euler's Equations <-- Optional reading
- Theory Section 3.2
- 3.5 Undetermined Coefficients
- Variation of Parameters Section 3.6 <-- Correction: There is a mistake at the end of the second example. You should get C
_{1}= 1/6 & C_{2}= -2/3. - Applications I Section 3.7
- Applications II Section 3.8
- Mass-Spring Animation Check it out!
- Mass-Spring Examples Check it out!

- Chapter 4: In Brief
- A Coupled Mass-Spring Animation This is an animation for 4.2 #39.
- A mass-spring video from MIT

- Chapter 5
- Test II covers the above material.
- Chapter 10