Math 3C, Differential Equations and Linear Algebra 1

M W F 8:00-8:50am, Girv 1004


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_Sec2.html
Teaching Assistants:
  • Boyan Jonov(boyan AT math.ucsb.edu)
    Office hours: Monday 11-12 (SH 6431R), Thesday, Thursday 2-3 pm (Mathlab, SH 1607)
  • Discussion Sections
    58404 (Lecture 8-8:50)  
    58412 Boyan Jonov Tuesday 8:00-8:50am 387 104
    58420 Boyan Jonov Tuesday 4:00-4:50pm GIRV 2127
    58438 Boyan Jonov Tuesday 5:00-5:50pm NH 1111
    58446 Boyan Jonov Tuesday 6:00-6:50pm HSSB 1224
    58453 Boyan Jonov Tuesday 7:00-7:50pm PHELP 1448

    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 homework 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