MATH 307 D: Introduction to Differential Equations

Meeting Time:
MWF 11:30am - 12:20pm
Location:
BNS 117
SLN:
16640
Instructor:
Tuhin Ghosh

Syllabus Description:

Official textbook : Boyce and Diprima, Elementary Differential Equations and Boundary Value Problems or Elementary Differential Equations.
First order differential equations. Autonomous, separable, and linear equations which arise in physics (e. g. motion, mixing problems) and biology (population dynamics).
Second order differential equations. Second order constant coefficient differential equations equations which come up in the study of mechanical and electrical vibrations.
Laplace Transform. A technique which enables us to solve constant coefficient differential equations by converting them into an algebraic problem.
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• Homework 10%
• Midterms(2) 25%
• Final 40%

What you need for Homework

• You will need to purchase a "WebAssign access code". Buy your access online HERE for \$22.95. This is the only place to buy access.

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Office Hour :  Mondays and Fridays from  3pm-4.30pm in my office C-548, Padelford Hall.

Sample Schedule -- not all classes will follow this exact schedule

Week Additional Materilas Topics and Textbook Sections
1:
Mar. 26-30
• Prerequisite Skills
• Some Basic Modelling § 1.1
• Solutions to Differential Equations § 1.2
2:
April 2-6
• Direction Fields § 1.1
• Separable First Order ODE's § 2.2
• Euler's Method § 2.7
3:
April 9-13
• Linear First Order ODE's § 2.1
• Modelling with First Order ODE's § 2.3
4:
April 16-20
MIDTERM #1 ARCHIVE
• Population Dynamics § 2.5
• Review
• Midterm #1   20/April/2018
5:
April 23-27
• Second Order Constant Coefficient ODE's § 3.1
• Modelling -- Damped Harmonic oscillator § 3.7 (just modeling)
• Homogeneous equations with distinct real roots § 3.1
• Complex numbers and Euler's formula -- notes on complex numbers
• Homogeneous equations with complex roots § 3.3
6:
April 30-May 4
• Homogeneous equations with repeated roots § 3.4
• Damped Harmonic Oscillator § 3.7
• Method of Undetermined Coefficients § 3.5
• Forced Harmonic Oscillator § 3.8
7:
May 7-11
• Forced Undamped harmonic Oscillator Beats and Resonance § 3.8
• Forced Damped Harmonic Oscillator -- Frequency Response and Phase § 3.8
• Review for Midterm2
8:
May 14-18
MIDTERM #2 ARCHIVE
• Midterm #2  14/May/2018
• Laplace Transform -- definition as an integral § 6.1
• Tables of Laplace Transforms § 6.2
9:
May 21-25
• Inverse Laplace Transform using tables § 6.3
• Solving IVP with Laplace Transforms § 6.3
• Step functions and time delay § 6.4
10:
May 28-June 1
• No class Monday -- Memorial Day
• Impulse Response and Convolution §6.5 and 6.6
• Review for Final Exam
11:
June 4-8
Final Exam Archive
• Final Exam week
• FINAL EXAM   Section D  :  6/June/2018  (2:30pm - 4:20pm)

Catalog Description:
Introductory course in ordinary differential equations. Includes first- and second-order equations and Laplace transform. Prerequisite: minimum grade of 2.0 in MATH 125. Offered: AWSpS.
GE Requirements:
Natural World (NW)
Credits:
3.0
Status:
Active
Last updated:
October 17, 2018 - 9:08pm