Math 3C, Differential Equations and Linear Algebra 1

M W F 10:00-10:50am, NH 1006


Instructor: Sookyung Joo
Office :  South Hall, Room 6502
Telephone: 805-893-3878
Email : sjoo at math.ucsb.edu
Office Hours: Monday 9-9:50am, Wednesday 9-9:50am, 11-11:50am.
Course homepage : http://www.math.ucsb.edu/~sjoo/Courses/ma3C_Sec3.html
Teaching Assistants: Kevin Brighton
Office : SH 6432J
Email: kcbrighton AT math.ucsb.edu
Office hours: Thursday 11-12pm (SH 6432J), Friday 1-3pm (mathlab, SH 1607)

Discussion Sections
58461 (Lecture 10-10:50)  
58479 Kevin Brighton Thursday 8:00-8:50am NH 1111
58495 Kevin Brighton Thursday 5:00-5:50pm HSSB 1224
58503 Kevin Brighton Thursday 6:00-6:50pm NH 1109
58511 Kevin Brighton Thursday 7:00-7:50pm GIRV 2116

Textbook: Differential Equations and Linear Algebra , by Jerry Farlow, James E. Hall, Jean Marie McDill, and Beverly H. West, 2nd edition. (We will cover chapters 1-3.)

Course Description: This is the first course of a two quarter sequence in Differential Equations and Linear Algebra. The course is divided into two somewhat related parts.

Assignments and Grading Policy: Webwork will be used for homework. Your permnumber will be used for both your username and password. You can change your password after your first login. Homework will be assigned on Fridays, and will be due the following Friday. Note that selected homework problems (or similar) may be given on tests. This is why it is crucial for you to do the homework before each class and, moreover, remember the ideas and techniques used in your solutions. Late homeworks will not be accepted. More practice problems can be found Practice problems.

Quizzes: There will be pop-quizes at the lecture and regular quizzes during the disscusion section. The lowest quiz score will be dropped for the final grade. Quizzes cannot be made up.

Tests: There will be a midterm and a final exam. Make-up exams will only be given in exceptional circumstances, and then only when notice is given to me before hand and a suitable written excuse forthcoming.

Grading:

Help: Mathlab in South Hall 1607 is staffed M-F noon-5pm by TA's who will be happy to help you. Help is also available through CLAS, the Campus Learning AssistanceService. See http://www.clas.ucsb.edu

Tentative Course Schedule (subject to change)

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Lecture Day Topic Sections
   1    M 01/05 Dynamical systems: Modeling    1.1
   2    W 01/07 Solutions and Derection Fields: Qualitative Analysis   1.2
   3    F 01/09 Derection Fields, Separation of Variables   1.2, 1.3
   4    M 01/12    Separation of Variables, Orthogonal Trajectoires 1.3
   5    W 01/14 Approximation Methods: Numerical Analysis 1.4
   6    F 01/16 Picard's Theorem 1.5
       M 01/19 Martin Luther King Jr.'s Birthday
   7    W 01/21 Picard's Theorem. Linear Equations: The Nature of Their Solutions 1.5, 2.1
   8    F 01/23 Linear Equations: The Nature of Their Solutions       2.1
   9    M 01/25 Solving the First-Order Linear Differential Equation 2.2
   10    W 01/28 Integrating Factor Method 2.2
   11    F 01/30 Growth/Decay Equations 2.3
   12    M 02/02 Growth/Decay Equations, Linear Models: Mixing and Cooling 2.3, 2.4
   13    W 02/04Linear Models: Mixing and Cooling 2.4
   14    F 02/06 Nonlinear Models: Logistic Equation       2.5
   15    M 02/09 Systems of Differential Equations: A First Look 2.6
   16    W 02/11 Review
   17     F 02/13 Midterm
       M 02/16Presidents' Day
   18    W 02/18 Systems of Differential Equations: A First Look 2.6
   19    F 02/20 Matrices 3.1
   20    M 02/23 Matrices: Sums and Products 3.1
   21    W 02/25 Systems of Linear Equations 3.2
   22    F 02/27 Systems of Linear Equations, The Inverse of a Matrix 3.2, 3,3
   23    M 03/02 The Inverse of a Matrix, Determinants 3.3, 3.4
   24    W 03/04 Determinants and Cramer's Rule, Vector Spaces 3.4, 3.5
   25    F 03/06 Vector Spaces and Subspaces 3.5
   26    M 03/09 Basis and Dimension 3.6
   27    W 03/11 Basis and Dimension 3.6
   28    F 03/13 Review

Sookyung Joo