Lecturer: Prof. Vladimir Rovenski

room 624, Office tel.: 04-8288422
Web page: http://math.haifa.ac.il/ROVENSKI/rovenski-compgeom.html
E-mail: vrovenski@univ.haifa.ac.il

Presentation of the textbook using in this course:

          V. Rovenski, Geometry of Curves and Surfaces with Maple (GC&SwM)   (enter and find programs and illustrations !)

 

Requirements of the course and a formula of a final mark, click here.
Questions for  the course, click here.
Example of  Final Work- 2000 (Questions), click here.
Syllabus of course,  click here.	Lessons: Wednrsday (4): 08.30-10.00 room 133 comp. center	moed aleph: -------------------------- moed beth:	Final marks click here.

Material for Lessons : 

1. Text file: WWW Sources  " Curves ",   click   here. 

2. Text file: WWW Sources  " Surfaces",   click   here. 

3. File: projects book,   click   here. 

Books : 

1) Stroeker  "Discovering Mathematics with Maple", in English. 
     Each chapter X=1,2,3,4,5,6  folder contains the 5 worksheets:

Lesson on 07.06.2016 is cancelled

Targil and tasks:

1. Solve problems until  05.04.2017:
    4 worksheets (one from each Chapter 2,3,5,6) in Stroeker book (TourAXa.mws, TourAXb.mws, where chapters X=2, 3, 5, 6)
    (Use files TourWXa.mws, TourWXb.mws with examples of solutions)

2a. Investigate and plot graph of one function y = f(x). Take data (No. of a function plan and example) from Section 1.5, deadline for 2a and 2b:  xx.04.2017  

2b. Use the commands interp, spline (for the functions in 2a) and plot the curve by different ways.

3a.  Mini-project: My Favorite Curve (description, equations, properties, applications) . 
       Take data (your number) from FILE Task_plane_curves.txt    

3b.  Investigation of Space Curves (investigation for any t and for t0, figure with Frenet frame and osculating circle at t0). 
     (Program in Section 12.3 in Rovenski book) take data (your number) from FILE Task_curves_R3.pdf

     Deadline for 3a:  xx.04.2017, and for 3b:  xx.04.2017  

4. Ordinary Differential Equations  (Deadline: xx.06.2017) Solve problems: 4, 5, 6, 8, 9, 10, 13, 14, 16

5. ODEs and Calculus of Variations: Task from pdf files: Part_01_h, Part_02_h, Part_03_h, Part_10_h.
    Example of solutions in Maple files: 081, 0813, 082, 084.
    Deadline:  xx.06.2017

6. Surfaces in the space R^3.  (Chapter 19 of GCSwithM-book , Sec_ParamSurfaces.mws, Diff_Geom_Surfaces.mws)

7. Final Project  (based on Chapters 1,2,4,7,8,12,18,22,23,25,26,27,28,29 of "Proj" book)  

הפרויקט יכלול:

1. כותרת, שם המגיש, תוכן עניינים, חלק עיקרי, מקורות

2. חלק עיקרי יכלול:

  קטעים ותוכניות מספר (פרק) – בחינה כ-70%

  בעיות נוספות (רמה: אנליזה, משוואות דיפרנציאליות מקורסים באוניברסיטה) ופתרונותיהם שלהם באמצעות מייפל כ-30%

  דוגמאות עם עקומות ומשטחים בR3

  תוכניות מייפל עם הערות והסבר תוצאות

  איורים - לא גדולים (2 בכל עמוד).

3. להגיש את הגרסה המודפסת של פרויקט בתיבת הדואר של Rovenski.

4. לשלוח קובץ zip עם קבצים של הפרויקט: XX<your TZ>XX_Maple_project.zip

    למייל rovenski@math.haifa.ac.il 

Project must include:
1. Title, student name, contents, Main part, References (Bibliography).
2. Main part must include:
  text and programs from the book (Chapter) - testing. ~ 70%
  additional problems (level: analysis, differential equations in University courses)  and their solutions using Maple. ~30%
  modeling with curves and with surfaces in R3.   
  Maple programs with comments and explanation of results
  Figures - not large (2 per page).
3. To place printed version of a project in Rovenski's mail box.
4. To send zip file with files of a project: XX<your TZ>XX_Maple_project.zip
     by email: rovenski@math.haifa.ac.il

   Deadline for Final Project:  10.08.2017

   Defenses of projects  in  room 624 :    14.07.2017, 12:00 - 13:30 ;   

  Lessons:

3. Geometry and differential equations with Maple,         to obtain zip file with materials click  here

   Questions and appeal ( ערעורים ) : at XX.30-YY.30 of XX of XXXX