Maths 121 Syllabus
1. CollegeScience
2. Department
Mathematics
3. Program
B.Sc in Mathematics
4. Course code
Maths 121
5. Course title
Calculus and Analytic Geometry I
6. Course credits:
Lecture Hours: 3
Lab Hours: 0Credit Hours: 3
7. Pre-requisites:
None
8. Course web-page:www.webassign.com
9. Lectures Timing & Location
10. Course coordinator
Dr. Ahmed Matar
11. Academic year
2020-2021
12. Semester:FirstSecondSummer√
13. Textbook(s):James Stewart, Calculus, Early Transcendentals, 2020, 9th Edition, Brooks/Cole Cengage Learning,
14.

References:
Thomas Calculus, by Thomas, Weir and Hass, 12th Edition (Pearson)
Calculus, by Smith and Minton. 4th edition (McGraw-Hill)
15. Other resources used (e.g. e-Learning, field visits, periodicals, software, etc.):• Paul’s Online Math. Notes : http://tutorial.math.lamar.edu• Salman Khan Academy:
http://www.khanacademy.org/math/calculus/differential-calculus/
16. Course description (from the catalog):
Algebra. Functions and graphs. Trigonometry. Conic sections. Limits and continuity. Derivatives andintegrals . Applications of derivatives which include Mean-Value Theorem , extrema of functions andoptimization. Definite integrals and the Fundamental Theorem of Calculus. Derivatives and integrals of
exponential, logarithmic and inverse trigonometric functions
17. Course Intended Learning Outcomes (CILOs):
Students who successfully complete this course should be able to:
Mapping to PILOs
CILOs
1. Evaluate limits of functions both geometricallyand algebraically.
2. Examine continuity of various types of functions
at a point or on a set.
3. Find derivatives of explicit and implicit functions.

abcdefgh√ij√√√√√√4. Evaluate definite and indefinite integrals.

√√

5. Employ differentiation to describe the behavior of√√functions.

University of Bahrain – Quality Assurance& Accreditation Center - Course Specification1√k6. Apply derivatives to solve real life problems suchas optimization and related rates.

√√

18. Course assessment:
Assessment Type

CILOs
coverage

Number

WeightDate

Online Quizzes
Tests

1-6240%

Test 1 27/3 11:00-12:00
Test 2 8/5 11:00-12:00

Laboratory/PracticalAssignments/Online Homework

1-62220%

Throughout thesemester

Projects/Case Studies
FinalTotal

1-6

1100%

1/6/21 11:30-13:30

19.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 the causes 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.
20.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. Pleaserefer the UoB website-Deanship of Students Affairs-Guidance Office.

University of Bahrain – Quality Assurance& Accreditation Center - Course Specification

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21.Course Weekly Breakdown:
WeekDate1

7/2/21

Topics coveredCILOs

Teaching Method

Assessment

1.1 Four Ways to represent afunction
1.3 New functions from oldfunctions
1.4 Exponential functions
1.5 Inverse functions andlogarithms
2.2 The limit of a function
2.3 Limit rules

1Lecture & Problem
solving

11Lecture & Problem
solving

HW 1, HW 2, Test 1 &Final Exam

HW 1,Test 1 & FinalExam

2

14/2/213

21/2/21

2.5 Continuity

2

Lecture & Problem
solving

HW 3, HW4, Test 1 &Final Exam

4

28/2/21

2.6 Limits at infinity
2.8 The derivative as a function

11,3

Lecture & Problem
solving

HW 4, HW 5, Test 1 &Final Exam

5

7/3/21

33Lecture & Problem
solving

HW 6, HW 7, Test 1 &Final Exam

6

14/3/213
3

Lecture & Problem
solving

HW 8, Test 1 & FinalExam

7

21/3/21

3.1 Derivative of Polynomials
and Exponential functions
3.2 Differentiation rules
3.3 Derivative of trigonometricfunctions
3.4 Chain Rule
3.5 Implicit Differentiation

3

Lecture & Problem
solving

HW 9, HW 10, Test 1& Final Exam

8

28/3/21

3.6 Logarithmic Differentiation

3

Lecture & Problem
solving

HW 11, Test 2 & Final
HW 12, Test 2 & Final

94/4/21

Midsemester break
3.9 Related Rates

3,6Lecture & Problem
solving

HW 13,HW 14 , Test 2& Final Exam

3,633

Lecture & Problem
solving333
3
3,6Lecture & Problem
solving

HW 17, HW 18, Test 2& Final Exam

2/5/21

3.10 Linearization anddifferentials
3.11 Hyperbolic functions
4.1 Maximum and Minimum
4.1 Maximum and Minimum
4.2 The mean value theorem
4.3 The shape of a graph
4.3 The shape of a graph
4.7 Optimization problems

Lecture & Problem
solving

HW 19, HW 20 & Final
Exam

9/5/21

4.7 Optimization problems
4.9 Antiderivative

3,64

Lecture & Problem
solving

HW 21, HW 22 & Final
Exam

4
4
3,4Lecture & Problem
solving

16/5/21

4.9 Antiderivative
5.2 The definite integral
5.3 The fundamental theorem ofCalculus
5.4 Indefinite integral

10

11/4/211118/4/21
1225/4/21
131415

HW 15, HW16, Test 2& Final Exam

Final Exam

4

University of Bahrain – Quality Assurance& Accreditation Center - Course Specification3

Weekly Problems & Important Dates
WeekDate17/2/21

Topics covered
1.1 Four Ways to represent afunction
1.3 New functions from oldfunctions
1.4 Exponential functions
1.5 Inverse functions andlogarithms
2.2 The limit of a function
2.3 Limit rules

ExamplesProblems

1,2,3,6-9,11

1-4, 7-18, 33-46,48

6-9

33-58, 68-71

5
1-4,6-10,13

1-4, 9-14, 21
1-20, 23-30, 37-46, 57-60, 6974
4-9, 29-40
1-34, 39-48, 51(a,b), 52(a,b),
53-57
3-5, 13-24, 27-38, 47-49

2

14/2/213

21/2/21

2.5 Continuity

1-9

4

28/2/215

7/3/211-11
1-7
1-9

6

14/3/21

2.6 Limits at infinity
2.8 The derivative as a function
3.1 Derivative of Polynomials
and Exponential functions
3.2 Differentiation rules
3.3 Derivative of trigonometricfunctions
3.4 Chain Rule
3.5 Implicit Differentiation

1-10
1-4

3,4,13-42
3-11, 21-32, 57, 63
1, 3-42, 45, 49-50, 53, 54(a,b),59-63, 65, 68, 74-76
1-38, 43-50
1-30, 31(a), 32(a), 33(a),34(a), 35-40, 45-62
1-60, 61(a), 65-70, 74-78
1-36, 39-44

3.6 Logarithmic Differentiation

1-102-40, 43-78

3.9 Related Rates

1-5

3.10 Linearization anddifferentials
3.11 Hyperbolic functions
4.1 Maximum and Minimum
4.1 Maximum and Minimum
4.2 The mean value theorem
4.3 The shape of a graph
4.3 The shape of a graph
4.7 Optimization problems

13-12, 13-16, 17-19, 22, 33, 35,47, 49, 50
1-4,11-18, 31-36

1-2
1-8
1-8
3,5
1-3,5-7
1-3,5-7
1-3,5

4.7 Optimization problems

1-3,5

4.9 Antiderivative
4.9 Antiderivative
5.2 The definite integral
5.3 The fundamental theorem ofCalculus
5.4 Indefinite integral

1-4,6
1-4,68
1-9

1-14, 35-46
29-48, 51-66
29-48, 51-66
15-18, 21, 29-31
9-41, 45-55
9-41, 45-55
2-8, 13-21, 25-27, 29-32, 37,40, 41-44, 60-63
2-8, 13-21, 25-27, 29-32, 37,40, 41-44, 60-63
1-24, 29-54, 65-70
1-24, 29-54, 65-70
35-36, 58, 59
9-54

1-5

5-24, 27-54

7
8

21/3/21
28/3/219

4/4/2110

11/4/2111

18/4/2112

25/4/2113

2/5/21
14

1-6
1-11

1-5
1-7

Midsemester break

9/5/2115

16/5/21

Important Dates

University of Bahrain – Quality Assurance& Accreditation Center - Course Specification

Labor day 1/5

Eid 12/5-16/5

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