Aktosun, Spring 2017, Math 3319


Instructor: Tuncay Aktosun, PKH 461, (817) 272-1545, aktosun@uta.edu

Course: Differential Equations and Linear Algebra, Math 3319, Section 003, Course number 22282

Office Hours: 4:30-5:20 pm, Tuesday and Thursday, and by appointment

Classroom: PKH 107

Classtime: 5:30-6:50 pm Tuesday and Thursday

Textbook: Stephen Goode and Scott Annin, Differential Equations and Linear Algebra, 3rd ed., Pearson, 2007.

Coverage: The following sections in the textbook:
1.1: How differential equations arise
1.2: Basic ideas and terminology
1.4: Separable differential equations
1.6: First-order linear differential equations
1.8: Change of variables
1.9: Exact differential equations
2.1: Matrices: definitions and notations
2.2: Matrix algebra
2.3: Terminology for systems of linear equations
2.4: Elementary row operations
2.5: Gaussian elimination
2.6: Inverse of a square matrix
3.1: Definition of the determinant
3.2: Properties of determinants
3.3: Cofactor expansions
4.1: Vectors in Rn
4.2: Definition of a vector space
4.3: Subspaces
4.4: Spanning sets
4.5: Linear dependence and linear independence
4.6: Bases and dimensions
5.1: Definition of a linear transformation
5.6: Eigenvalue/eigenvector problem
5.9: Matrix exponential function
6.1: General theory of linear differential equations
6.2: Constant-coefficient homogeneous linear differential equations
6.3: Method of undetermined coefficients
7.8: Matrix exponential and systems of differential equations

Grading: Letter grades will be assigned based on the three exam grades, with the lowest exam score contributing 20% and the other two exam scores each contributing 40% to the course grade. The grade out of 100 on the first exam is equal to 10 √  10(X1 + 1)/3 , where X1 is the number of correct answers on the first exam. The grade out of 100 on the second exam is equal to 10 √  10 X2/3 , where X2 is the number of correct answers on the second exam. The grade out of 100 on the third exam is equal to 10 √  10 X3/3 , where X3 is the number of correct answers on the third exam. All grades out of 100 will correspond to the following scale: 0 < F< 60, 60 < D < 70, 70 < C < 80, 80 < B < 90, 90 < A < 100.

Exams: Exam 1: February 16; Exam 2: April 6; Exam 3: May 9.

Prerequisites: A grade of C or better in Math 2326 or concurrent enrollment.

Practice problems:
1.1: 1, 3, 5, 7, 9, 11
1.2: 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 25, 27, 31, 35, 37, 39
1.4: 1, 3, 5, 7, 15
1.6: 1, 3, 5, 7, 9, 15, 17
1.8: 1, 3, 5, 7, 9, 11, 13, 15
1.9: 1, 3, 5, 7, 11, 13, 15
2.1: 1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 27
2.2: 1, 3, 7, 9, 11, 13, 15, 17, 19, 27, 31, 33, 37, 39, 43
2.3: 1, 3, 7, 9, 11, 13, 15, 17
2.4: 1, 3, 5, 9, 11, 15, 19, 21, 25
2.5: 1, 3, 5, 7, 13, 17, 21, 33, 37
2.6: 1, 3, 7, 9, 11, 15
3.1: 9, 11, 13, 17, 19, 21
3.2: 1, 3, 9, 15, 19, 21, 23, 25, 27, 29, 37, 39
3.3: 1, 3, 5, 7, 9, 11, 15, 41
4.1: 1, 3
4.2: 1, 3, 5, 7, 9, 11
4.3: 3, 5, 7, 9, 11, 13, 17, 19, 21
4.4: 1, 3, 5, 7, 11, 13, 17, 21, 23, 25
4.5: 1, 3, 5, 7, 13, 15, 19, 21, 29, 31
4.6: 3, 5, 7, 13, 15, 17, 21, 23
5.1: 1, 3, 5, 7, 9, 11, 13
5.6: 1, 3, 9, 11, 13, 15, 17, 21, 23, 25
5.9: 1, 3, 5, 7, 9
6.1: 1, 3, 17, 21, 23, 27, 31, 33, 35, 37
6.2: 5, 7, 9, 13, 17, 19, 21, 23, 29, 31, 33
6.3: 17, 19, 31
7.8: 1, 3, 5, 7

Information on Exam 1: The exam will contain 30 questions (the first 15 are true/false questions and the remaining are multiple-choice questions with 4 options to choose from). No materials are allowed during the exam besides a pencil or a pen; blank sheets are provided; the answer sheet is provided and will be collected at the end of the exam. The coverage will contain Sections 1.1, 1.2, 1.4, 1.6, 1.8, and 1.9 in the textbook, and the following topics are emphasized: Answer key for Exam 1


Information on Exam 2: The exam will contain 30 questions (the first 15 are true/false questions and the remaining are multiple-choice questions with 4 options to choose from). No materials are allowed during the exam besides a pencil or a pen; blank sheets are provided; the answer sheet is provided and will be collected at the end of the exam. The coverage will contain Sections 2.1-2.6, 3.1-3.3, and 4.1-4.6 in the textbook, and the following topics are emphasized: Answer key for Exam 2


Information on Exam 3: The third exam, equivalent to the final exam, will be given during 5:30-8:00 pm on Tuesday, May 9, 2017 in the standard classroom (PKH 107). The format of the exam will be similar to the format of the first two exams. The exam will contain 30 questions (the first 15 are true/false questions and the remaining are multiple-choice questions with 4 options to choose from). No materials are allowed during the exam besides a pencil or a pen; blank sheets are provided; the answer sheet is provided and will be collected at the end of the exam. The coverage will contain Sections 5.6, 5.9, 6.1, 6.2, 6.3, 7.8 in the textbook, but the knowledge of 2.1, 2.2, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 4.5 is also needed. The following topics are emphasized: Answer key for Exam 3



Tuncay Aktosun aktosun@uta.edu
Last modified: May 12, 2017