Math 3C : Differential Equations & Linear Algebra

Spring 2011

8:00-8:50 MWF, Embarcadero Hall (morning), WebWork
15:00-15:50 MWF, Harold Frank Hall 1104 (afternoon), WebWork

 

Instructor: Jingrun Chen

Office: South Hall 6705

Office hours: 9:00-10:00 MWF or by appointment

Office phone: 805-893-3941

E-mail: cjr@math.ucsb.edu

CLAS tutor:

Morning Class: Vince Zaccone, Vince.Zaccone@sa.ucsb.edu

Schedule: Information of classrooms is not available to me. You need check it by yourself after log-in.



Day Time
MW 9:00-10:00
MW 14:00-15:00
TR 14:00-15:00

Afternoon Class: Ari Nachison, ari_nachison@hotmail.com

Schedule:



Day Time
MW 11:00-12:00
MW 13:00-14:00

Students can sign up online at clas.ucsb.edu or in person on the 3rd floor of the SRB building.

Extra examples and any topics the students have trouble with will be discussed.

TA Information:

Morning Class: Cynthia Flores, cvf32493@math.ucsb.edu, John Mangual, mangual@math.ucsb.edu

Schedule:



EnrlCd TA Day Time Classroom
27300 Flores T 8:00-8:50 NH1109
27318 Flores T 17:00-17:50 HSSB1207
27326 Mangual R 17:00-17:50 HSSB1227
27334 Flores T 18:00-18:50 HSSB1211
27342 Flores T 19:00-19:50 NH1109
27359 Mangual R 18:00-18:50 HSSB1227
27367 Mangual R 19:00-19:50 HSSB1211

Afternoon Class: Ricardo Delgadillo, rdelgadi@math.ucsb.edu, Shahab Karimi, shahab@math.ucsb.edu

Schedule:



EnrlCd TA Day Time Classroom
68908 Delgadillo T 19:00-19:50 940 1010
68916 Delgadillo R 17:00-17:50 940 1010
68924 Delgadillo R 18:00-18:50 940 1010
68932 Karimi T 12:00-12:50 940 1010
68940 Karimi T 16:00-16:50 940 1010
68957 Karimi T 17:00-17:50 940 1010
68965 Karimi T 18:00-18:50 940 1010

Textbook: Differential Equations & Linear Algebra, by Farlow, Hall, McDill and West, Chs. 1-3.

Homework: Homework of the current week must be submitted no latter than 11:59pm NEXT FRIDAY through WebWork.

The inital username and password is your perm number

Exams: There will be a midterm in class, on May 2 (tentative). The final is 8:00-11:00 & 12:00-15:00, June 10. You must bring your student ID to the exams.

Grading policy:



Homework 40%
Midterm 25%
Final 35%

Syllabus: During this course we will try to follow the following schedule (tentative).

Week 1:

Matrices: Sums and Products, Chap 3.1, Note.

Systems of Linear Equations, Chap 3.2, Note.

Week 2:

The Inverse of a Matrix, Chap 3.3, Note.

Determinants and Cramer's Rule, Chap 3.4, Note.

Week 3:

Vector Spaces and Subspaces, Chap 3.5, Note.

Basis and Dimension, Chap 3.6, Note.

Week 4:

Dynamical Systems: Modeling, Chap 1.1, Note.

Solutions and Directions Fields: Qualitative Analysis, Chap 1.2, Note.

Week 5:

Separation of Variables, Chap 1.3, Note.

Approximation Methods: Numerical Analysis, Chap 1.4, Note.

Week 6:

Midterm Exam, Practice Test, Answer by Cynthia V. Flores.

Pick up your exams in my office during office hours. I will answer your questions.

Picard's Theorem, Chap 1.5, Note.

Linear Equations: The Nature of Their Solutions, Chap 2.1, Note.

Week 7:

Linear Equations: The Nature of Their Solutions (cont.), Chap 2.1.

Solving the First-Order Linear Differential Equation, Chap 2.2, Note.

Week 8:

Growth and Decay Phenomena, Chap 2.3, Note.

Linear Models: Mixing and Cooling, Chap 2.4, Note.

Nonlinear Models: Logistic Equation, Chap 2.5, Note.

Week 9:

Nonlinear Models: Logistic Equation (cont.), Chap 2.5.

Systems of Differential Equations: A First Look, Chap 2.6, Note.

Review: Chap 3.

Week 10:

Review: Chap 3 (cont.).

Review: Chap 1 & 2.

Review: Answer.