University of Bahrain
Quality Assurance and Accreditation Center

MATHS 102 Course Syllabus
1. Course code: MATHS 102

2. Course title:Calculus II

3. College: Science
4. Department: Mathematics
5. Program: B. Sc. (For Engineering Students and IT students only)
6. Course credits: Lecture Hours: 3Lab Hours: 0Credit Hours: 3

7. Course NQF Level: 5
8. NQF Credits: 12
9. Prerequisite: MATHS 101

10. Course Section: 1

11. Lectures Timing & Location: UTH 8:00 – 8:50, remote learning in Microsoft Teams
12. Course web page: www.blackboard.uob.edu.bh and www.webassign.net
13. Course Instructor: Dr. Ahmed Matar
14. Office Hours and Location: TBA
15. Course coordinators: Dr. Abdulla Eid and Dr. Babacar Seck
16. Academic year: 2020-2021
17. Semester:

First

√

SecondSummerof Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
1 University
Note: Additional information could be added as required by the Instructor, (e.g.,Policies)
Note: Items shown underlined cannot be changed without the department consent.

QF-20-rev.a.3

18. Textbook(s):James Stewart, Calculus, Early Transcendentals (Metric Version), 2018, 8th Edition,Brooks/Cole Cengage Learning, ISBN: 978-1-305-27237-8.
19. References
1) Calculus, by Smith and Minton. 4th edition (McGraw-Hill).
2) Thomas Calculus (Early Transcendentals), 13th edition (Pearson)

20. Other learning resources used (e. g. e-Learning, field visits, periodicals, software,etc.):
Recorded videos are available in Microsoft Stream. Search “MATHS102” to view all ofthem.
21. Course description (as per the published):
Applications of definite integrals, including areas, volume, and surface areas of solids ofrevolution, arc length and centroids. Transcendental functions, indeterminate form, andL'Hopital's Rule. Techniques of integration and improper integrals. Infinite series, power
series. Maclaurin and Taylor Theorem.

22. Course Intended Learning Outcomes (CILOs): Students who successfully complete
this course should be able to:

Mapping to PILOs
CILOs

abcdefgh Ij

1. Find area and volume between
curves and surfaces ofrevolutions using definiteintegrals.
2. Apply L’Hopital’s rule to findlimits involving indeterminateforms.
3. Evaluate proper and improper
integrals using different
integration techniques.
4.

Recognize the convergence ordivergence of an infinite series.

5. Approximate limits, derivatives,and integrals using power series
expansion of functions.

of Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
2 University
QF-20-rev.a.3

k23. Course assessment

Assessment Type

Details/ Explanationof Assessment inrelation to CILOs

Quizzes
Midterms

N/A
Test 1: 1,2,3.
(Section 4.4 – 7.3)

Number

WeightDate(s)2

20%+20%

Test 1: 27/3/2021
Test 2: 8/5/2021
From 8 AM to 9AM

20(The best15)

20 %Throughout theSemester

140 %29/5/2021 from11:30 AM to 1:30
PM

23100 %

Test 2: 3, 4.
(Sections 7.4 – 8.5)

Laboratory/Practic
alOnline
Assignments

N/A
CILOs 1-5(WebAssign)

Projects/CaseStudies
Final

N/A

All CILOs
Total

24. Description of Topics Covered

Topic Title(e.g. chapter/experiment title)
Chapter 4: Applications ofDifferentiation

Description
Indeterminate Forms and L’Hopital’s ruleof Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
3 University
QF-20-rev.a.3

Chapter 5: Integrals

Evaluation of the area between different types of curves

Chapter 6: Applications ofIntegration

Volumes of rotating area about a given axis by using disks,
washer, and cylindrical shell methods

Chapter 7: Techniques ofIntegration

Integration by parts, Trigonometric integration,
Trigonometric substitutions, Integration of rational
functions by partial fractions, Improper Integration

Chapter 11: Infinite Sequenceand Series

Sequences. Infinite series- investigating the convergenceand divergence of a given series by using different types oftests; Integral test, Comparison test, the ratio test.
Alternating series, absolute and conditional test. Powerseries. Taylor and Maclaurin series, Convergence of Taylorseries, Application of Taylor series.

of Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
4 University
QF-20-rev.a.3

Week
1
2Date

Topics covered

07/02/2021

4.4 L'hopital’s Rule

14/02/2021

5.5 The Substitution
Rule

21/02/2021

6.1 Area Between
Curves
6.2 Volumes

34
528/02/2021
07/03/2021
14/03/2021

621/03/2021
728/03/2021
89

6.2 Volumes
6.3 Volumes byCylindrical Shells
7.1 Integration byParts
7.2 TrigonometricIntegrals
7.3 Trigonometric
Substitution
7.4 Integral ofRational functions
by Partial Fractions
7.7 Approximate
Integration
7.8 Improper
integrals

211

13

3

3

3

48/04/2021

11/04/2021
1011.1 Sequences
11.2 Series

18/04/2021

411.2 Series
4

25/04/2021
12

02/05/2021
13

09/05/2021
14

16/05/2021

Teaching
MethodAssessment

ExamplesSuggested
Problems

Lecture &Problem
solving
Lecture &Problem
solving
Lecture &Problem
solving

HW1, Test1,Final

1-10

1-4, 8-68, 7376

HW2, Test1,Final

1 – 11

1-48, 53-73,87-94

HW3,4, Test1,Final

1,2,6,7

1-29, 33, 34,56, 59

2-6

1-30

Lecture &Problem
solving
Lecture &Problem
solving
Lecture &Problem
solving

HW4,5, Test1,Final

1-4

1-20, 37-43

HW 6, Test1
Final

1-5

1-42, 61-65, 71

1-9

1-49, 61-64

1,3-7

1-30

Lecture &Problemsolving

HW8,9, Test2,Final

Lecture &Problem
solving

HW10, Test2,Final

HW7,8, Test1,Test2, Final

1-9

1-52

1, 3(a), 4,7(a)

7-18

1-10

1,2,5-40,49-54,55-59, 63

Mid semester break1115CILOs

11.3 The Integral
Test The
11.4
Comparison Tests
11.5 Alternating
11.6
SeriesAbsolute andconditional
convergence andThe Ratio and Root
Tests
11.6 Absoluteconditional and The
Ratio and Root
Tests
11.7 Strategy for
Testing Series
11.8 Power Series

4444
4

5

Lecture &Problem
solving

HW11,12,
Test2, Final

Lecture &Problem
solving

HW12,13,
Test2, Final

Lecture &Problem
solving

HW15, HW16
Test2, Final

Lecture &Problemsolving

HW17, Test2,Final

Lecture &Problem
solving
Lecture &Problem
solving

1-9, 11-13
1-11

1-56
1-8, 15-63,75,76,81,82

1-6

3-40

1-5

1-36,38,39,40(b),41(b)1-203-30, 3134

1-4

HW18, Final

HW19, Final

1-6

1-40, 44,45

1-6

1-35

1-6

1-40, 44,45

1-6

1-35

1-5

1-32

of Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
5 University
QF-20-rev.a.3

23/05/2021
16

11.9
Representations ofFunctions as PowerSeries
11.10 Taylor andMaclaurin Series

5Lecture &Problem
solving

HW20, Final

1-8

1-20, 25-32

1,3-131, 3-26, 31-43,49-80

Online Homework scheduleH.W #Assignment coverage

Date “Start” (D/M/Y)

Date “Due” (D/M/Y)

1:00 am

11:59 pm1

Section 4.4

7/2/2021

18/2/2021

2

Section 5.5

14/2/2021

25/2/2021

3

Section 6.1

21/2/2021

9/3/2021

4

Section 6.2

21/2/2021

11/3/2021

5

Section 6.3

28/2/2021

16/3/2021

6

Section 7.1

7/3/2021

18/3/2021

7

Section 7.2

14/3/2021

25/3/2021

8

Section 7.3

14/3/2021

1/4/2021

9

Section 7.4

21/3/2021

13/4/2021

10

Section 7.7

21/3/2021

15/4/2021

11

Section 7.8

28/3/202120/4/2021

12

Section 11.1

11/4/2021

22/4/2021

13

Section 11.2

11/4/2021

27/4/2021

14

Section 11.3

18/4/2021

29/4/2021

15

Section 11.4

25/4/2021

6/5/2021

16

Section 11.5

25/4/2021

20/5/2021

17

Section 11.6

2/5/2021

20/5/2021

18

Section 11.7

9/5/2021

20/5/2021

19

Section 11.8

9/5/2021

27/5/2021

20

Section 11.9

9/5/2021

27/5/2021

NB: There will be NO extension to any missed homework. However, we will take thegrades of the best 15 homework sets. It is the student’s responsibility to be familiarof Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
6 University
QF-20-rev.a.3

with WebAssign. No makeup test will be provided, based on right-answer and wrongformat.

of Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
7 University
QF-20-rev.a.3

25. Attendance Policy:

Extracts from the University Bulletin regarding withdrawal and enforced withdrawal:
A student’s absence from lectures or classes in excess of 25% of the total assigned session
will result in an automatics withdrawal of the student from the course, regardless of thecauses for his/her absence.
a) A grade of (W) is given to a student who misses 25% or more of the total sessions
assigned to the course if he/she presents a valid excuse for his/her absence.
b) A grade of (WF) is given to a student who misses 25% or more, but with no valid excuse.
26. Academic Honesty and Plagiarism:
All students are expected to follow the specific rules of academic honesty and plagiarism as per The
Regulation of Professional conduct Violations for University of Bahrain Students, decision # 4/2006.
Please refer the UOB website-Deanship of Students Affairs-Guidance Office.

27. Important Dates•

Sunday Feb. 7, 2021: First day of classes (instruction begins).

•

Sunday March 7, 2021: Last day to drop courses without a ‘W’ grade.

•

Saturday March 27, 2021: Test 1•

Sunday April 4 – Thursday April 8, 2021: Mid semester break.

•Thursday April 29, 2021: Last day to withdraw with a ‘W’ grade.

•Saturday May 8, 2021: Test 2•

Tuesday May 11, 2021: Last day to withdraw with ‘WA’ or ‘WF’ grade.

•Thursday May 27th, 2021: Last day of classes.

•Saturday May 29, 2021: The Final exam.
of Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
8 University
QF-20-rev.a.3

of Bahrain – Quality Assurance& Accreditation Center - Course Syllabus Form
9 University
QF-20-rev.a.3