Course Syllabus

1. College/Division

 General Education

2. Code/ Course Title

Math 152   Calculus II

·        Credits

4 credits

·        Pre-requisites

 Math 152

·        Instructor Name

Dr.  Dimitrios Pispinis

·        Instructor Contact Information

Email:  Dimitrios.Pispinis@aubh.edu.bh

Office Hours:  Sun & Tue: 11:30 am – 12:30 pm

·        Meeting Time & Place

Su-Tue-Thu   1:30p-2:50p

3. Program

4. Modes of Attendance offered

Dual mode (face to face and online) with full online support, including class delivery through MS Teams

5. Semester/Year

Fall 2021

6. Number of hours tuition (total)/NQF Level/

NQF Notional Hours

60 / 6 / 160

7. Course Description and Aims

This course emphasizes on vector functions (continuity, derivatives, and integrals), parametric curves and surfaces, polar coordinates, as well as functions of several variables (including continuity and partial derivatives, gradient, directional derivatives). Topics also include the chain rule, double and triple integrals, iterated integrals, integration using polar, cylindrical, and spherical coordinates, change of variables, line, and surface integrals (including surface area), curl and divergence, and the integral theorems of Green, Stokes, and Gauss. 

8. Course Learning Outcomes (CLOs)

CLOs

NQF Descriptor and level

General Education LOs

A. Knowledge

A1. Explain fundamental geometric concepts and methods of differential and integral calculus of several variables.

Knowledge – Theoretical Understanding

Level 6

Demonstrate generalized knowledge and understanding of methods, intellectual approaches, and fundamental concepts from disciplines within the social sciences, natural and physical sciences, arts, and humanities, including Arabic language, heritage, and / or culture.*

A2. Apply Green’s, Strokes’, and Gauss’ theorems to engineering problems.

Knowledge - Practical Application

Level 6

Effectively apply concepts and principles specific to the social sciences, natural and physical sciences, and/or arts and humanities, including Arabic language heritage, and culture in addressing basic human problems. *

B. Skills

B1 Identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.

Skills - Generic Problem Solving & Analytical Skills

Level 6

B2. Use mathematical software to solve calculus problems of several variables

Skills - Communication, ICT, Numeracy

Level 6

Use basic skills to interpret, evaluate and employ quantitative reasoning in a variety of contexts. *

C. Competence

* General Education Learning Outcomes

9. SAMPLE Course Structure

Week

Hrs

CLOs

Topic Title

Teaching Methods

Assessment Methods

1

12-09-2021

4

A1

12.1 2- D and 3 - D coordinate

        systems

12.2 Vectors

12.3 The dot product

- Lecture

- Participation

14-09-2021

16-09-2021

2

19-09-2021

4

A1

12.4 The cross product

12.5 Equations of lines and

       planes

12.6 Cylinders and quadratic

        surfaces

- Lecture

- Participation

- Assignment 1

21-09-2021

23-09-2021

3

26-09-2021

4

A1

13.1 Vector functions and   

        space curves

13.2 Derivatives and integrals of 

         vector functions

13.3 Arc length and curvature

13.4 Motion in space: velocity

        and acceleration 

- Lecture

- Participation

- Quiz 1

28-09-2021

30-09-2021

4

03-10-2021

4

A1

14.1 Functions of several 

       variables

14.2 Limits and continuity

14.3 Partial Derivatives

14.4 Tangent planes and linear

        approximations

- Lecture

- Participation

- Assignment 2

05-10-2021

07-10-2021

5

10-10-2021

4

A1

14.5 The chain rule

14.6 Directional derivatives and

         gradient vector

- Lecture

- Participation

- Quiz 2

12-10-2021

14-10-2021

6

17-10-2021

4

B1, B2

14.7 Maximum and minimum

          values

14.8 Lagrange multipliers

- Lecture

- Participation

- Assignment 3

19-10-2021

21-10-2021

7

24-10-2021

4

A1, B1

Review

Midterm Examination

- Midterm Exam

26-10-2021

28-10-2021

8

31-10-2021

4

A1

15.1 Double integrals over

         rectangles

15.2 Double integrals over

         general regions

- Lecture

- Participation

02-11-2021

04-11-2021

9

07-11-2021

4

A1

15.3 Integrations over polar

         coordinates

15.5 Surface area

- Lecture

- Participation

- Quiz 3

09-11-2021

11-11-2021

10

14-11-2021

4

A1

15. 6 Triple integrals

15.7 Triple integrals in cylindrical

         coordinates

- Lecture

- Participation

- Assignment 4

16-11-2021

18-11-2021

11

21-11-2021

4

A1

15.8 Triple integrals over

         spherical coordinates

15.9 Change of variables in  

         multiple integrals

- Lecture

- Participation

- Quiz 4

23-11-2021

25-11-2021

12

28-11-2021

4

A2

16.1 Vector fields

16.2 Line Integrals

16.3 Fundamental theorem for

         line integrals

16.4 Green’s theorem

16.5 Curl and divergence

- Lecture

- Participation

- Assignment 5

30-11-2021

02-12-2021

13

05-12-2021

4

A2, B1 & B2

16.6 Parametric surfaces and

         their areas

16.7 Surface integrals

- Lecture

- Participation

- Quiz 5

- Assignment 5

07-12-2021

09-12-2021

14

12-12-2021

4

A2, B2 & B2

16.8 Stokes’s theorem

16.9 The divergence theorems

         Project presentation.

- Lecture

- Participation

- Quiz 6

14-12-2021

10. Course Assessment

Assessment Method

CLOs tested

Descriptions

NQF Level

Weight (%)

Participation

Formative & Summative

A1, A2

Based on attendance and short questions.

Level 6

10

Assignments

Formative

B1, B2

List of exercises or small projects.

Level 6

20

Quizzes

Formative

A1, A2,

Open or multiple-choice questions to be answered within limited time.

Quiz 6 will be take-home to be worked as a project in groups.

Level 6

20

Midterm Exam

Summative

A1, B1

Multiple-choice questions to be answered within limited time.

Level 6

20

Final Exam

Summative

A1, A2, B1

Multiple-choice questions to be answered within limited time.

Level 6

30

11. Infrastructure

Core texts

James Stewart, Calculus, Metric Edition, 8^th Edition, 2015, Cengage.

Recommended books for further reading

1. Howard Anton, Calculus: Early Transcendentals, 11^th Edition, WILEY.

2. George B. Thomas and Ross L. Finney, Calculus and Analytic Geometry, 9th Edition, (1996) , Addison-Wesley.

3. Morris Kline, Calculus: An Intuitive and Physical Approach, 2^nd  Edition, Dover.

Course notes

Shared through Canvas.

Special requirements (include for example Software, periodicals, etc.)

Online activities to be announced in class.

List of materials needed for this course

·        A4 sketchbook, pencils, eraser, scientific calculator.

12. Course Policies

·        Instructor’s Expectations:

o   Students are expected to be well prepared for working in the class

o   Students are expected to attend classes regularly and take notes

o   Students are expected to focus in class and ask questions at appropriate times

o   Students who disrupt the class in any case may receive penalty on their participation marks, including leaving/entering the classroom while the lecture is taking place

o   Students who use class time to do assignments or projects of other classes may receive a penalty on their participation marks

o   No cell phones are allowed in class unless specifically directed by the instructor

o   No calculators are allowed in class unless specifically directed by the instructor

o   Students who use cell phones or calculators without permission of the instructor may receive penalty on their participation marks

o   Participation marks depends on student class activity. Students are getting participation marks for answering challenges in class (5 %) as well as responding to drill questions (5 %).

·        Student’s expectations:

o   The instructor will reply to student emails sent via Outlook. Students can expect a reply within 24 hours of the instructor receiving an email. However, this does not apply on weekends or holidays. For example, an email received at 5:00pm on Thursday may not be answered by the instructor until Sunday

o   The instructor will provide students with feedback on every assignment/assessment submitted on a timely basis

·        Submission Requirements:

o   Instructors are not obligated to give make up examinations or other make-up work if a student misses a test or fails to complete assigned work, whether or not the absence is excused

o   No cell phones, notes, textbooks, or calculators are allowed during quizzes/tests/exams, unless specifically permitted by the instructor

o   No makeup quizzes/test/exams will be given

o   Late projects receive zero mark. Manage your load so as to keep to the set deadlines

·        Attendance Requirements:

o   All absences will be accounted, whether excused or not 

·        Attendance Taking:

Attendance will be recorded from the beginning until the end of our scheduled class time. The process includes calling out students’ names, downloading the Teams class roster after each class session, checking the chats for the #here hashtag next to students’ names, and other modes of verification. At AUBH, attendance means that students respond to prompts in a timely manner. Students’ camera must be always open, otherwise the student may be marked absent

Students are required to attend all classes punctually. If a student is 3-9 minutes late, the student will be counted as tardy. Every three incidents of tardiness will count as an absence from one class. If a student is 10+ minutes late to a class or leave early, she/he will be counted as absent, but she/he will be welcome to attend class so that she/he does not miss out on the content covered in the class

If a student misses a class, she/he is responsible for catching up on all the content covered in class, and she/he is responsible for completing any assignments or readings given in class

·        Please refer to the following applicable policies in the Student Handbook

o   Attendance

o   Plagiarism