School of Science and Engineering (SOSE)

CSE

BSCSE

Co-ordinate Geometry and Vector Analysis

Math 201

Summer/Spring/Fall

3

SC*** Some Important Dates: 5^th class (CT-1), 9^th class (CT-2), 17^th class (CT-3), 21^st class (CT-4)

Monday & Wednesday: 03:35 PM – 04:55 PM, Campus-4

Room # 4505

https://sites.google.com/site/hkdasmath/

Haridas K. Das

Room #1307, Campus-2 and Room # 4408, Campus-4

Email: hkdas.rohit@gmail.com, Mobile: +8801672711080

N.B.: You can also make an appointment by email or phone (01672711080).

Calculus Early Transcendentals, Howard Anton, IrlBivens, Stephen Davis [10 ^th or 11^th Edition]

Engineering Mathematics, H. K. Dass (HKD) [15^th Edition]

Bring your own Book to participate effectively in classroom activities. You are not allowed to borrow from others inside the classroom during class activities.

This course develops the geometric relationships and deductive strategies that can be used to solve a variety of real world and mathematical problems that designed to follow Calculus with Analytic Geometry and Vector Analysis. Itdeals with conic sections, parameterizations of plane curves, polar cylindrical and spherical coordinate systems, vectors in R²as well as in R³, lines, planes, surfaces, direction of tangent and normal to a curve in 3-space, functions of several variables. It also treaties with the calculus of scalar and vector functions of several variables; more specifically gradient of a scalar field and tangent plane to a surface, directional derivatives of a scalar field, applications of partial derivatives and divergence and curl of a vector filed. In addition, this course deals with the line integral, surface integral volume integral, Green’s theorem, Stokes’ theorem, Divergence theorem and their applications in evaluating the work done by a force field and flux of a vector filed.

Conic sections, rotation of axes, Rectangular co-ordinate in 3-space,cross and dot product of vectors, parametricequation of straightlines,Plane in 3-space, quadratic surfaces,Differentiation and integration of vector valued function, tangent and normal vectors, directional derivative and gradient of scalar fields, Tangent planes and normal vectors, vector fields, line integrals, conservative vector field, Green’s theorem. Triple integral in cylindrical and spherical coordinate systems,Surface integral, flux, divergence theorem, Stokes’ theorem.

Upon completion of this course, students will explore the followings:

• 1. Understanding of several coordinate system in 2 and 3 dimensions

  2. Knowledge of effect of a coordinate system when transformed to another system.

  3. Concepts of lines, curves, planes, surfaces and solid body.

  4. Ability to solve various problems relating to the Algebra of vector

  5. Analyzing the multiple integrals to solve some common problems relating to physics and engineering.

  6. Application of some theorems like Green’s theorem, Stokes’ theorem and divergence theorem in evaluating the work done by a force field or the flux of a vector field.

Students who complete the course will have demonstrated the ability to do the followings:

• 1. Recognize the conic sections from their functions in standard from and from their graphs. Convert a function of a conic section to standard form to identify. Also, determine equations of curves when given information that determines the curves

2. Use the method of coordinate geometry to place the axes at a position convenient with respect to the curve under consideration.Perform translations and rotations of the coordinate axes to eliminate certain terms from equations to identify the geometrical figure of the equation.

3. Apply concepts of the geometric properties and calculusconcepts involving surfaces, two- and three-dimensional vectors, vector valuedfunctions, planes, lines and the cylindrical and the spherical coordinatesystems.

4. Evaluate the angle between two lines. Be able to find the equation of a line that has some specific characteristics.

5. Use of knowledge the concept of the limit, continuity, differentiability to functions of several variables.

6. Apply the theory of the calculus of functions of several variables to some common problems in physics and engineering.

7. Use of the extension of the concept of the definiteintegral to a two and three-dimensional setting and understand its development to Riemann sums.

8. Apply the concepts of multiple integrals and vector calculus in solving various problems

9. Ability to sketch graphs and discuss relevant features of curves in the plane determined by certain equations.

10. Use the polar coordinate system, relate it to the rectangular coordinate system, and graph equationsusing polar coordinates.

Lecture, Question, Answer.

a. Class Attendance and Participation:

Class attendance is mandatory (at 80% of classes) to qualify for grading as per university policy. But I will grade you on the basis of your in time presence. So after taking attendance of the class (usually in the beginning of the class), there will be no provision for recording attendance. Your in-time presence will also be considered as positive class participation.

b. Examination:

There is NO provision for make-up of missed classes and quizzes.

Expect quiz on completion of each topic.

c. Assignment

Failure to submit the Assignments on the due date will result in 50% deduction from the possible score.

d. Counseling:

You are expected to follow the counseling time-table as set out in this course.

a. Academic Calendar Spring 2017: http://www.uiu.ac.bd/academic/calendar/

b. Academic Information and Policies:

http://www.uiu.ac.bd/academic/academic-information-policies/

c. Grading and Performance Evaluation:

http://www.uiu.ac.bd/academic/grading-performance-evaluation/

d. Proctorial Rules

http://www.uiu.ac.bd/academic/1192-2/