| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 1 |
|---|
| Semester | Second Term (Spring) |
|---|
| ECTS | 6 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Increase the awareness of his mental potential and abilities; gain an ability to utilize a higher percentage the capacity of the mind via brain exercises.
- Solidify the patterns of rational or mathematical (and therefore exact) thinking.
- Have a knowledge with the Engineering Mathematics needed in diverse areas of science and technology in general, and specific areas of engineering in particular.
- Acquire effective analytical thinking ability and study habits; and also deepen and widen his thought and vision.
- Develop problem-solving skills.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | Yes(MATH151) |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | This course is a continuation of MAT 151 (Calculus I). Its content comprises of the following concepts: Vector Calculus, Lines, Planes and Surfaces in Space. Functions of Several Variables. Limits and Continuity. Partial and Directional Derivatives. Gradients and Tangent Planes. Extreme Values of Functions and Lagrange Multipliers. Optimization. Numerical and Power series. Maclaurin and Taylor Series. Multiple Integrals in Rectangular, Polar, Cylindrical and Spherical Coordinates. Line Integrals, Green's Theorem in the Plane. Surface Integrals, Gauss and Stokes' Theorems. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Sequences, Infinite Series, Series of Nonnegative Terms |
|
2nd Week |
Tests for Convergence |
|
3rd Week |
Alternating Series, Absolute Convergence, Power Series |
|
4th Week |
Power Series (continued), Taylor & Maclaurin Series, Application of Power Series |
|
5th Week |
Vectors in Space, Dot & Cross Products |
|
6th Week |
Lines & Planes in Space, Short Exam I |
|
7th Week |
Functions of Several Variables, Limits & Continuity |
|
8th Week |
Midterm Exam |
|
9th Week |
Partial Derivatives, Chain Rule, Directional Derivative, Gradient Vectors |
|
10th Week |
Tangent Planes, Normal Lines |
|
11th Week |
Extreme Values, Saddle Points, Lagrange Multipliers |
|
12th Week |
Cylinders, Quadratic Surfaces, Double Integrals in Rectangular Coordinates |
|
13th Week |
Double Integrals in Polar Coordinates, Areas and Volumes by Double Integrals |
|
14th Week |
Triple Integrals in Rectangular Coordinates and Cylindrical Coordinates, Short Exam II |
|
15th Week |
Volumes by Triple Integrals, General Review |
|
| Recommended or Required Reading | Weir MD, Hass J, Giordano FR (2005) Thomas' Calculus, 11th Ed., Addison-Wesley.
Adams, R.A., Calculus (2003), 4th Ed., Addison-Wesley.
Swokowski, E.W., Olinick, M., Pence, D., Calculus (1994), 6th Ed., PWS Publishing Company.
|
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Quiz |
2 |
10 |
| Other |
1 |
5 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
12 |
2 |
24 |
| Individual or group work |
|
|
|
| Preparation for Final exam |
1 |
40 |
40 |
| Course hours |
14 |
5 |
70 |
| Preparation for Midterm exam |
1 |
30 |
30 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
|
|
|
| Quiz |
12 |
1 |
12 |
| Total Work Load | 180 |
| Total Work Load / 30 (h) | 6 |
| ECTS Credit of the Course | 6 |
|
| Language of Instruction | English |
|---|
| Work Placement(s) | No |
|---|
