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مالك طالبي

Associate Professor

عضو هيئة تدريس

كلية العلوم
المبنى 4 ، الدور الأول ، رقم المكتب 1ا84
مادة دراسية

106 ريض - حساب التكامل

Syllabus:

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.

Text Book:

Calculus by Swokowski‐Olinick‐Pence (Sixth Edition)

Assessment:

Tutorial ………………………10 marks
First-Mid Term Exam ………………....……..20 marks
Second Mid Term Exam …………………..……20 marks
Final Exam …………………..……50 marks
Total ………………….…..100 marks
 

Exams:
First-Mid Term Exam ……..Tuesday 19/12/1432H from 19H to 20H30
Second Mid Term Exam ..……Tuesday 25/01/1433H from 19H to 20H30
 

For Tutorial :
Questions from the book "Calculus"

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: 1,3,6,11,15,18,19,30,31.
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

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