Math 307C, Autumn 2019



Daily Schedule

WeekLecture NotesReading*MonTuesWedThurFri
Sept 25–Sept 27 Lecture 01
Lecture 02
§1.1, §1.2,§1.3 Prerequisite Skills
Introduction (§1.1, §1.2)
Solutions to ODEs(§1.2)
Basic Modeling (§1.3)
Nov 30–Oct 4 Lecture 03
Lecture 04
Lecture 05
§2.1,§2.2,§2.3, §3.1 Direction Fields (§2.1,§2.2) Hwk #1 due Euler's Method (§2.3) Seprable First Order ODE's (§3.1)
Oct 7–Oct 11 Lecture 06
Lecture 07
Lecture 08
§3.2, §4.1 Linear ODE's (§3.2) Hwk #2 due Modeling with First Order ODE's (§4.1) Autonomous First Order ODE's and
Population Dynamics(§4.2)
Oct 14–Oct 18 Lecture 09
Lecture 10
§5.1--§5.5 Complex Numbers (§5.1--§5.3) Hwk #3 due

Midterm #1 Archive

MIDTERM #1
 
Complex-valued functions (§5.4,§5.5)
Oct 21–Oct 25 Lecture 11
Lecture 12
Lecture 13
§6.1–§6.3, §7.1--§7.4 Intro. to 2nd Order ODE's (§6.1--§6.3) Hwk #4 Due Solving Homogeneous Linear ODEs (§7.1--§7.3) Solving Homegeneous Linear ODEs (§7.3)
Oct 28–Nov 1 Lecture 14
Lecture 15
Lecture 16
Chapters 8 & 9 The Harmonic Oscillator (Chapter 8) Hwk #5 due Undetermined Coefficients (§9.1) Undetermined Coefficients (§9.2)
Nov 4–Nov 9 Lecture 17
Lecture 18
Lecture 19
Chapter 10 Forced (undamped) Harmonic Oscillator;
Beats and Resonance (§10.1)
Hwk #6 due Forced Damped Harmonic Oscillator
Frequency Response and Phase (§10.2)
Examples: Auto struts, RLC-circuits (§10.2)
Nov 11–Nov 15 Lecture 20 §11.1. §11.2 Veterans Day Hwk #7 due
Midterm #2 Archive

MIDTERM #2
 
Definition of Laplace Transform (§11.1 & §11.2)
Nov 18–Nov 22 Lecture 21
Lecture 22
Lecture 23
§11.3–§11.6 The Inverse Laplace Transform (§11.3) Solving IVP's (§11.4,11.5)
Laplace Transform of Piecewise Continuous Functions (§11.5,11.6)
Nov 25–Nov 29 Lecture 24
Lecture 25
§11.7 Impulse Response and the Dirac Delta function (§11.7) Hwk #8 due Impulse Response and Transfer Functions (§11.7) American
Heritage Day
American
Heritage Day
Dec 2–Dec 6 Lecture 26
Lecture 27
Lecture 28
§11.8,§11.9 The Convolution Theorem (§11.9) Hwk #9 due Modeling Examples (§11.8) Review

Dec 9–Dec 13 Finals Week
Hwk #10 due
Final Exam Archive

Final Exam
8:30--10:20AM
Thursday, Dec 12

 
(*) Reading for each week is done from the Class Notes.


Last modified: December 6, 2019