syllabus math 202.docx

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First Semester 1432-1433. (2011 - 2012) Math 202 Syllabus.

Textbook : Calculus Early Transcendentals, Sixth Edition, Author: James Stewart.

Chapter Section

Lectures Week HW

& dates Exercises Examples Definitions & Theorems

Chapter 3 3.11

Hyperbolic Function ( 2.5 lectures ) Definition of the Hyperbolic functions,

hyperbolic identities, derivatives, inverse hyperbolic functions and their derivatives.

Tables 1to 6. Figures 1,2,3,8,9,10 1,2,3,4,5.

23a,23c, 23e, 30,

43.

1-6, 9,10,13,16, 21,23, 30-47 1^st

Chapter 4 4.9

Antiderivatives ( 1.5 lectures ) Antiderivative definition, theorem 1, table

2, 1-4

10, 33.

1-20, 23-46.

2^nd

Appendix E Sigma Notation, page A34

( 1 lecture ) Definition 1, Theorems 2,3

1,2,3,4,6,7 -

1-35 2^nd

Chapter 5 5.1

Areas and Distances ( 1.5 lectures ) The area problem: Example 1 and 2,

figures 1-9. Figures 10-13, definition 2, 1,2,3.

3^rd 1,2.

5.2

The Definite Integral ( 2.5 lectures ) Definition1 and 2, NOTE 1-3, figures 1-

4. Theorem3,4. Properties of the definite integral 1-8.

1,2,4,6,7,8 17

1,2,17-20, 33-42, 47- 50,53-56, 3^rd

5.3

The Fundamental Theorem of Calculus

( 2 lectures ) Equation 1, example 1. The

fundamental theorem of Calculus parts 1 & 2. TFTOC page 387

1,2,4,5,6,7,8, 9 37, 54

1-3, 7-46, 53- 4^th 56,

5.4

Indefinite Integrals and the Net Change Theorem

( 2 lectures ) Indefinite integral, table 1.

Applications pages 394,395: The net changes theorem, natural and social

sciences idea page 394 only and example 6

1-6 10,43

1-18, 21-44, 4^th 47

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5.5

The Substitution Rule ( 2 lectures ) Equations 1,2,3 page 400. The

substitution rule. The substitution rule for definite integral. Symmetry 39,60 1-11

5^th 1-70

Review exercises, pages 409, 410

8-38, 43- 48,53.

5^th

Chapter 6 Applications of

integrals 6.1

Areas Between Curves ( 2 lectures ) Figures 1,2, rules 1,2,3, figures 11,12

1,2,5,6 3

5^th 1-32

6.2 Volumes ( 2.5 lectures ) Definition of volume. Disk and washer

page 427 1-8

19,20 1-35, 41-43.

6^th

6.3

Volumes by Cylindrical Shells

( 2 lectures ) Theorems 1, 2

1-4 31

1-20, 29-32

6^th

6^th 1-21

Chapter 7 Techniques of

integration 7.1

Integration by Parts ( 2 lectures ) Equations 1, 2, 6

1-6 59

1-43, 57-60 7^th

7.2

Trigonometric Integrals ( 3 lectures ) All strategy

1-9 58, 62

1-49, 57,58,61-64 8^th

7.3

Trigonometric Substitution ( 3 lectures )

All 1-7

9^th 1-30

7.4

Integration of Rational function by Partial

Fractions ( 3 lectures ) All

1-9 52

1-51

10^th

7.5

Strategy for Integration ( 2 lectures ) All with "Can we integrate all

continuous functions?"

1-5 -

1-80 odd 11^th

7.6

Integration Using Tables just the table

1-4 -

11^th 1-30

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and Computer Algebra System

( 0.5 lectures ) 7.8

Improper Integrals ( 3 lectures ) Type 1 and 2. Test of convergence

1-10 41

12^th 1-42

12^th 1-50

Chapter 8 Further Applications of

Integrations 8.1

Arc Length ( 1.5 lectures ) Arc length formulas 1-4

1,2,4 19

13^th 1-22

8.2

Area of a Surface of Revolution ( 1.5 lectures ) Formulas 1-8

1-3 -

13^th 1-16

8.3**

Applications to Physics and Engineering

( 2 lectures ) All

1-6 -

14^th 1-19

8.4**

Applications to Economics and Biology

(1.5 lectures ) All

1,2 -

14^th 1-11

8.5**

Probability (1.5 lectures ) All

1-5 -

14^th 1-19

Review exercises, page 562

1-4, 7 14^th

Remarks:

1. We emphasize that each student should buy the textbook from the first day of classes, if he or she does not have it, because we will use its examples and problems to teach this course, and each student need to have a book- access-code in order to log-in to the home-work system on-line.

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2. All examples and exercises in the lectures part must be solved by instructor.

3. We emphasize about the concept of each subject in the syllabus. Some students know how to do the calculation but do not know the meaning or the concept of the calculation is. Every exam will contain some problems about the concept of the materials and the exams will be in multiple choice (MC) .

4. Sections 8.3, 8.4, and 8.5 are not omitted. They are just left to students to read and they will not be included in the final exam.

5.

Students should exercise all problems in HW column. More than 50% of the problems of the exams will be similar to those problems and examples.

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assigned homework will be from those problems and should be submitted online on the due date.

6. Marks distribution

 First Exam (90 Min; 20 Marks); Second Exam (90 Min; 20 Marks); Final Exam (120 Min; 40 Marks).

 Home-works (20 Marks). ( ten home-works, each with two points. )

Home-works will start on about the end of the second week. There will be ten home-works, each contains two to four problems, each problem will have three tries, and the last home-work due date will be the end of the 14^th week.