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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)   Past Exam papers and their solutions: M-106(Final with Solution)1427/28.docx solution.badeel.first-mid-examM-106(1431/32)[1].pdf  First Semester(1431/32)solution.final.exam[1].pdf    Home Work  Home Work(M-106)2.doc