#### MATH 204: DIFFERENTIAL EQUATIONS, SPRING 2023

**Problems from W.E. Boyce, R.C. Diprima, D.B. Meade **:

**Homework 1**

Leave a reply

**Problems from W.E. Boyce, R.C. Diprima, D.B. Meade **:

**Homework 1**

**Arda Demirhan,**Office: SCI 109, Office Hours: TBA.**Varga Kalantarov**, Office: SCI 162, Office Hours: TBA.

**TBA**,e-mail: TBA, Office Hours: TB**Syllabus**

**Homework 1**

**Varga Kalantarov**, Office: SCI 162, Office Hours: Fridays, 13:30- 14:30 or by appointment.

**TBA**,e-mail: TBA, Office Hours: TB

**D. C. Lay, S. Lay, J.J. McDonald Linear Algebra and Its Applications **

SIXTH EDITION

**Week 1: Systems of Linear equations. Row reduction and Echelon Form. **** (** Section1.1, Section 1.2)

**Week 2: Vector Equations. **** The Matrix equation Ax=b (** Section1.3, Section 1.4)

**Week 3: Solution Sets of Linear Systems. Linear Independence. **** (** Section1.5, Section 1.7)

**Week 4 : Introduction to Linear Transformations. **** The Matrix of Linear Transformation ** (Section1.8, Section 1.9)

**Week 5 : **** Matrix operations. The Inverse of a Matrix ** (Section 2.1, Section 2.2)

**Week 5 : **** Characterisation of Invertible Matrices. ** ( Section 2.2, Section 2.3)

**Week : **** Vector Spaces and Subspaces. ** (Section 4.1)

**Instructor, Office and Office Hours:**

Varga Kalantarov, Sci 162, Thursdays at 16:15 -17:15 or by appointment.

**Teaching Assistants, Office and Office Hours:**

Ahmet Nuri Cevik, by appointment.

Komal Khalid, Thursdays, 14:30 – 16: 40 , SCI 130

Onur Işık, Thursdays , 16:15 -17:25, SCI 129

Roohul Ahmed Khalid, Thursdays, 14:30 – 16: 40 , SCI 130

**Homepage**: https://mysite.ku.edu.tr/vkalantarov/

**Textbook**: R.A. Adams and C. Essex: Calculus ( a complete course), Pearson 10th edition (Requirred).

**Topics to be covered**: Vectors and vector-functions: limit, continuity, derivative and integral of a vector-function. Functions of several variables: limit, continuity, partial derivatives, chain rule, directional derivative, extreme value problems, double and triple integrals, line integrals. Vector calculus: conservative vector fields, Green’s, Stoke’s and divergence theorems.

**Homework**: Suggested homework problems will be assigned regularly but not collected for grading. Students are required to solve these problems in order to gain a better understanding of the subject.

**Evaluation method**: Students progress will be evaluated according to their performance in, the midterm and final exams. There will be two midterm exams. The Midterm Exam 1 and 2 will be held during the weeks of November 13 and December 18, respectively. The midterm exams will cover the material not covered in the earlier exams. The final exam will be a more comprehensive exam covering all the

subjects of the course. The contribution of the midterm and final exams are as follows, midterm exams 30% each,final exam 40%.

**Attendance**: Students are advised to attend all the lectures and problem sessions.

**Make-ups**: If a student misses a midterm exam and has a valid excuse, his (her) grade in the final exam will be substituted for the grade in the missed exam.

If a student misses the final exam and has a documented valid excuse accepted by the deans office , (s)he will be given a make-up exam at noon on the the first day of the makeup period ( according to the academic calender)

**Suggested method of study**: Reading the lecture notes and the books is necessary for grasping the subject, but it is by no means sufficient.

Students must try to reproduce the definitions and proofs of the theorems, and apply the techniques to other problems.

**Academic dishonesty**: If a student is caught cheating in an exam, s/he will be punished according to the Y\”{O}K regulations.

These consist of one or two semesters of prohibition from attending the university.

**Problems from Adams and Essex ****(10th Ed.) : **

**Week 1** :

Section 10.1, Page 574: 13, 18, 37;

Section 10.2, Page 583: 3, 13, 20, 23;

Section 10.3, Page 592: 4, 15, 17, 26;

**Week 2** :

Problems from the textbook.\\

{\bf Section 10.4} Page 599: 4, 8, 10, 16, 19, 22, 26

{\bf Section 12.1} Page 653: 10, 21, 24, 26

**Week 3** :

Problems from the textbook.

Section 13.1 Page 702, Problems : 4, 6, 15, 20

Section 13.2 Page 707, Problems 4, 7, 12, 14, 20

**Week 4** :

Problems from the textbook.

Section 13.3, Page 714, Problems : 7, 17, 19, 20, 28, 30

Section 13.4, Page 720, Problems : 4, 11, 13, 15

**Week 5** :

Problems from the textbook.

Section 13.5, Page 729, Problems : 2, 6, 11, 15, 19, 22

Section 13.6, Page 740, Problems : 2, 5, 21, 22

Section 13.7, Page 751, Problems : 5, 7, 12, 17, 19, 24, 31

**Week 6**:

Problems from the textbook.

Section 4.10 p. 283: Problems 3, 23, 34

Section 14.1 p. 777 : Problems 3, 4, 13, 22, 25

Section 14.2 p. 783: Problems 5, 9, 13

**Varga Kalantarov**, Office: SCI 162, Office Hours: Thursdays, 11:15- 12:15 or by appointment.

**TBA**,e-mail: TBA, Office Hours: TB