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Course Outline for Math-106 

Integral Calculus

Semester I: 1431-1432

Text Book:

Calculus Sixth Edition by Swokowski‐Olinick‐Pence

Reference Books:

1) Calculus, Sixth Edition by R. E. Larson and R. P. Hostetler, Houghton Mifflin Company, Boston, 1998.

2) Calculus, Sixth Edition by J. Stewart, Thomson Brooks/Cole, Canada, 2009.

Course description:

The definite integrals, fundamental theorem of calculus, the indefinite integrals, change of variables, numerical integration. Area, volume of revolution, work, arc length. Differentiation and integration of inverse trigonometric functions. The logarithmic, exponential, hyperbolic and inverse hyperbolic functions. Techniques of integration: substitution, by parts, trigonometric substitutions, partial fractions, miscellaneous substitutions. Indeterminate forms, improper integrals. Polar coordinates.

 

ASSESSMENT OF STUDENTS:

Tutorial………………………………………...10 marks.

First-Mid Term Exam………………....20 marks.

Second Mid Term Exam……………...20 marks

Final Exam…………………………………....50 marks

Total.............................................................................100 marks.

 

Teaching Two Groups:

                  From 2-to-3 pm  [Group No. 24120]

                  From 3-to-4 pm [Group N0. 24122]

 

Sections Topic Exercise

 

 NOTE:       Questions should be solved during Tutorials

4.1. Antiderivatives and Indefinite Integrals:1,5,7,11,14,15,17,23,27,29,35,41,43,49.

4.2. Change of Variables in Indefinite Integrals: 1,3,5,7,9,16,20,21,27,32,37.

4.3. Summation Notation and Area: 1,2,3,5,6,9,12,27,37.

4.4 The Definite Integral: 1,5,10,11,15,16,19,20,31,33,37.

4.5 Properties of the Definite Integral: 7,10,11,12,15,17,22,23,25,29,34.

4.6. The Fundamental Theorem

of Calculus: 1,7,8,9,11,12,13,15,16,17,21,29,32,36,45,47.

4.7. Numerical Integration: 15,16,17,18,33,34.

6.2. The Natural Logarithm Function: 3,5,9,11,32,35,39,41,42.

6.3. The Exponential Function: 1,3,6,11,15,31,33.

6.4. Integration Using Natural Logarithm and  Exponential Function: 3,6,11,15,18,19,30,31.

6.5 General Exponential and Logarithmic Functions: 1,5,15,17,23,29,37,39,39,41,42.

6.7 Inverse Trigonometric Functions: 31,33,37,43,51,52,56,57,60,61,62.

6.8 Hyperbolic and Inverse Hyperbolic Functions: 19,20,21,28,29,61,63,65,67,73, 74,75,79,80.

6.9 Indeterminate Forms and l'Hopital's Rule: 49,51,57,58,59,64,65,74,76.

7.1. Integration by parts: 1,2,7,11,12,13,16,17,31.

7.2. Trigonometric Integrals: 1,3,4,5,7,9,11,13,15.

7.3 Trigonometric Substitutions: 1,3, 5, 7, 9, 10, 21, 22.

7.4. Integrals of Rational Functions (Partial fractions): 1,2,5,6,9,11,25.

7.5. Quadratic Expressions and Miscellaneous Substitutions: 1,3,5,6,10,12,25,26,27,28,32,47,48,49,50.

7.7 Improper Integrals: 1,2,4,7,13,14,15,17.

5.1. Area Between Curves: 5,6,9,10,11,12,14,27,28,31.

5.2. Volume (By Disk or Washer): 5,6,8,9,21,25.

5.3. Volume(By Cylindrical Shells): 5,6,7,11,13,15,17,19,21.

5.5 Arc Length and Surfaces of Revolution: 5,7,11,12,13,29,30,32,35,36,42.

9.1. Parametric Equations: 1,3,5,7,25.

9.2 Arc Length and Surface Area: 1,5,7,9,21,23,29,31,33,35,37.

9.3. Polar Coordinates: 1,2,3,5,7,9,27,31,33,37,38,51,53,59.

9.4 Integrals in Polar Coordinates: 1,3,18,19,22,23,27,30,35,37.

 

Teaching Scheme :Weekly_Course_Details 

 

  Dates of Mid-Term Exams:

   First Mid Term Exam:     19/12/1432:(15/11/2011)[20 Marks] Tuseday:

                                               Time:7:0-8:30 PM

      Second Mid Term Exam: 25/01/1432:(20/12/2011)[20 Marks] Tuesday:
                                             Time:7:0-8:30 PM

       Date of Final Exam: 9/7/1432 (11/6/2011)

  Math 106 Course Specification  

  Past Exam papers and their solutions:

First Mid(M-106)1428/29 Solution.doc,

M-106(Final with Solution)1427/28.docx

M-106Final(1428/29)Solution.docx 

solution.badeel.first-mid-examM-106(1431/32)[1].pdf

solution-second-mid-exam.(1431-32).pdf [1]

solution.badeel.first-mid-examM-106(1431/32)[1].pdf

 M-106 Final. 2nd term-1431-1432.pdf

M-106[2nd-Mid Term]-1431-1432.pdf[2]

 First Semester(1431/32)solution.final.exam[1].pdf

 

 Home Work 

Home Work(M-106)1.docx 

Home Work(M-106)2.doc

 
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