حساب التفاضل و التكامل 2 - ريض 114
Substitution in Definite Integrals. Integration by Parts. Trigonometric Techniques of Integration. Integration of
Rational Functions using Partial Fractions. Improper Integrals.
Infinite Series(Co
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معلومات أساسية
- Review Part 1: the meanin of function , polynomial, rational function and some basic rules about trigonometric function 20:18
- Review Part 2 : Derivative Formulas (مهمه) 16:51
- 4.1 Antiderivatives (مهمه ) 11:26
- 4.1 Power Rule (مهمه) 10:26
- 4.1 Integration Formula (مهمه) 12:33
- 4.2 Sums and Sigma Notation 16:24
- 4.3 Area Under the Curve and Above the x Axis 27:28
- 4.3 Riemmann Sum 07:51
- 4.4 Definite Integral 18:37
- 4.4 Rule of Integrals 13:10
- 4.4 Integral Mean Value Theorem 09:19
- 4.5 Fundamental Theorem of Calculus Part 1 06:20
- 4.5 Fundamental Theorem of Calculus Part 2 04:13
- 4.6 Integration by Substitution (مهمه) 07:32
- 4.6 Some Examples about Integration by Substitution (مهمه) 18:59
- كيف نرسم الدوال ؟ (مهمه) 25:47
- Domain of function 08:31
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CHAPTER 5: Application of the Definite Integral
- 5.1 Area Between Curves 11:59
- 5.1 Example 1.1 (Finding the Area between Two Curves) 20:04
- 5.1 Examples 1.2 and 1.4 30:01
- 5.1 An Area Computed by Integrating with Respect to y 13:01
- Exercise 5.1 (Q1, Q3, Q5) 16:14
- Exercise 5.1 (Q7, Q8) 09:20
- Exercise 5.1 (Q2, Q4, Q6, Q14, Q17) 47:50
- 5.1 (إيجاد نقاط التقاطع بالقسمة المطوله في سؤال 7 بدون آله حاسبه) 13:46
- مراجعة و تلخيص لجابتر 5 05:43
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CHAPTER 6: Integration Techniques
- 6.1 Review of Formulas and Techniques 14:01
- 6.1 More Examples 21:07
- 6.2 Integration by Parts 14:12
- 6.2 More Examples in Integration by Parts 14:12
- 6.2 Reduction Formula and Definite Integral 11:19
- 6.3 Integrals Involving Powers of Trigonometric Functions (cos(x) and sin(x)), case 1 24:22
- 6.3 Integrals Involving Powers of Trigonometric Functions (cos(x) and sin(x)), case 2 13:36
- 6.3 Integrals Involving Powers of Trigonometric Functions (sec(x) and tan(x)) 14:19
- 6.3 Trigonometric Substitution Part 1 13:17
- 6.3 Trigonometric Substitution Part 2 20:00
- 6.4 Partial Fractions Decomposition 16:34
- 6.4 General Rule 14:06
- 6.4 Partial Fraction Where Long Division is Required 18:07
- 6.4 Partial Fraction with a Repeated Linear Factor 12:43
- 6.4 Partial Fraction with Quadratic Factor 09:21
- 6.6 Improper Integrals with a Discontinuous Integrand 22:52
- 6.6 Improper Integrals with an Infinite Limit of Integration 19:21
- 6.6 An Integral with Two Infinite Limits of Integration 17:22
- Exercise 6.1 (Q7, Q10, Q12, Q13, Q18, Q22, Q24, Q33) 26:01
- Exercise 6.1 (Q1, Q3, Q17) 10:53
- Exercise 6.1 (Q11, Q14, Q15, Q16, Q29, Q30, Q31, Q32) 38:53
- Exercise 6.2 (Q1, Q5, Q6, Q9, Q15, Q22, Q24, Q42) 32:08
- Exercise 6.2 (Q41) 04:10
- Exercise 6.3 (Q6, Q10, Q12, Q24, Q25, Q28, Q32) 33:40
- Exercise 6.3 (Q2, Q4, Q9, Q18, Q16, Q29, Q30) 20:19
- Exercise 6.4 (Q1, Q4, Q11, Q22) 24:11
- Exercise 6.4 (Q5, Q14, Q15, Q19, Q25, Q26) 27:15
- Exercise 6.6 (Q1(a,b), Q2(b,c), Q5(b), Q9(b), Q11(b), Q15(a), Q16(b)) 19:36
- Exercise 6.6 (Q1(c), Q5(a), Q6, Q8(a), Q9(a), Q13) 43:33
- مراجعة و تلخيص لجابتر 6 31:04
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CHAPTER 8: Infinite series
- 8.2 The Concept of Convergent Series 11:07
- 8.2 Examples of Convergent and Divergent Series 15:06
- 8.2 Geometric Series 17:38
- 8.2 Kth-Term Test for Divergence 09:29
- 8.3 Integral Test 16:47
- 8.3 P-Series 09:44
- 8.3 Comparison Test 19:57
- 8.3 Limit Comparison Test 11:33
- 8.4 Alternating Series 23:59
- 8.5 Absolutely Convergence 20:34
- 8.5 Ratio Test 16:50
- 8.5 Root Test and Summary of Convergence Tests 07:09
- 8.6 Power Series 15:50
- 8.6 Convergence of Power Series 21:09
- 8.6 Interval and Radios of Convergence 17:12
- Exercise 8.2 Part 1 16:16
- Exercise 8.2 Part 2 12:07
- Exercise 8.3 part 1 32:39
- Exercise 8.3 Part 2 18:09
- Exercise 8.4 Part 1 05:16
- Exercise 8.4 Part 2 12:58
- Exercise 8.5 Part 1 17:34
- Exercise 8.5 Part 2 03:23
- Exercise 8.5 Part 3 02:04
- Exercise 8.6 Part 1 45:42
- Exercise 8.6 Part 2 07:47
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CHAPTER 12: Functions of several variables and Partial Differentiation
- 12.1 Functions of Several Variables 19:53
- 12.2 Limit of Function with Two Variables 13:03
- 12.2 Showing that Limit Does Not Exist 20:55
- 12.2 Showing that Limit Does Exist by Squeeze Theorem 19:28
- 12.2 Limit of Function with Three Variables 04:32
- 12.2 Example 8 and 9 14:12
- 12.3 Partials Derivatives 13:31
- 12.3 Higher Order Partial Derivatives 17:34
- 12.4 Tangent Planes and Normal Line 21:36
- 12.5 Chain Rule Part 1 16:18
- 12.5 Chain Rule Part 2 16:23
- 12.6 Directional Derivative 17:48
- 12.6 The Gradient 15:18
- Exercise 12.1 part 1 05:50
- Exercise 12.1 part 2 02:35
- Exercise 12.2 part 1 21:20
- Exercise 12.2 Part 2 03:13
- Exercise 12.3 Part 1 42:04
- Exercise 12.4 17:03
- Exercise 12.5 28:06
- Exercise 12.6 11:20
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CHAPER 13: Multiple Integrals
- 13.1 Double Integral Over a Rectangular 15:58
- 13.1 Double Integral Over a General Region 23:36
- 13.1 More Examples about Double Integral Over a General Region 34:07
- 13.3 Double Integral in Polar Coordinate 23:43
- 13.4 Surface Area 25:02
- 13.5 Triple Integral Defined on a Rectangular Box 10:00
- 13.5 Triple Integral Defined on a General Shape in 3-dimention 12:31
- CHAPTER 9: Parametric equations
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Exercises
- 5.1 Area between curves (Q2, Q4, Q6, Q14, Q17) 47:50
- 5.1 Area Between Curves (Q1, Q3, Q5) 16:14
- 5.1 Area Between Curves (Q7, Q8) 09:20
- 5.1 (إيجاد نقاط التقاطع بالقسمة المطوله في سؤال 7 بدون آله حاسبه) 13:46
- 6.1 Review of Formulas and Techniques (Q7, Q10, Q12, Q13, Q18, Q22, Q24, Q33) 26:01
- 6.1 Review of Formulas and Techniques (Q1, Q3, Q17) 10:53
- 6.1 Review of Formulas and Techniques (Q11, Q14, Q15, Q16, Q29, Q30, Q31, Q32) 38:53
- 6.2 Integration by Parts (Q1, Q5, Q6, Q9, Q15, Q22, Q24, Q42) 32:08
- 6.2 Integration by Parts (Q41) 04:10
- 6.2 Integration by Parts (Q6, Q8, Q9, Q20, Q26, Q27, Q28, Q35, Q36) 44:11
- 6.3 Trigonometric Techniques of Integration (Q6, Q10, Q12, Q24, Q25, Q28, Q32) 33:40
- 6.3 Trigonometric Techniques of Integration (Q2, Q4, Q9, Q18, Q16, Q29, Q30) 20:19
- 6.4 Integration of Rational Function Using Partial Fraction (Q1, Q4, Q11, Q22) 24:11
- 6.4 Integration of Rational Function Using Partial Fraction (Q5, Q14, Q15, Q19, Q25, Q26) 27:15
- 6.6 Improper Integrals (Q1(a,b), Q2(b,c), Q5(b), Q9(b), Q11(b), Q15(a), Q16(b)) 19:36
- 6.6 Improper integral (Q1(c), Q5(a), Q6, Q8(a), Q9(a), Q13) 43:33
- 8.2 Infinite Series (Q2, Q4, Q6, Q8, Q10, Q18, Q24) 16:16
- 8.2 Infinite Series (Q1, Q3, Q5, Q7) 12:07
- 8.2 Infinite Series (Q17, Q19, Q20) 13:50
- 8.3 The Integral Test and Comparison Tests (Q1, Q3, Q5(b), Q6(a), Q9, Q11(a), Q13) 32:39
- 8.3 The Integral Test and Comparison Tests (Q2, Q5(a), Q6(b)) 18:09
- 8.3 The Integral Test and Comparison Test (Q11(b), Q15) 15:40
- 8.4 Alternating Series (Q3, Q4, Q7, Q8, Q11, Q13) 12:58
- 8.4 Alternating Series (Q1, Q2, Q5) 05:16
- 8.5 Absolute Convergence and the Ratio Test (Q3, Q8, Q9, Q11, Q22, Q24, Q29, Q35) 17:34
- 8.5 Absolute convergence and Ratio Test (Q2, Q21) 03:23
- 8.5 Absolute Convergence and the Ratio Test (Q14) 02:04
- 8.6 Power Series (Q4, Q6, Q7, Q15, Q16) 45:42
- 8.6 Power Series (Q2, Q3) 07:47
- 12.1 Functions of Several Variables (Q1, Q3) 05:50
- 12.1 Functions of Several Variables (Q2) 02:35
- 12.1 Functions of Several Variables (Q4, Q5, Q6, Q7) 14:52
- 12.2 Limit and Continuity (Q7, Q8, Q9, Q11, Q15, Q16, Q27) 21:20
- 12.2 Limit and Continuity (Q6, Q12) 03:13
- 12.3 Partial Derivatives (Q3, Q5, Q9, Q13, Q15) 42:04
- 12.3 Partial Derivatives (Q1, Q12, Q14) 25:09
- 12.4 Tangent Planes (Q2a, Q3a, Q6a) 17:03
- 12.4 Tangent Planes (Q1b, Q2b, Q6b) 14:56
- 12.5 The Chain Rule (Q4, Q5, Q9) 28:06
- 12.5 The Chain Rule (Q6, Q10) 14:00
- 12.6 Directional Derivative and the Gradient (Q3, Q7, Q11) 11:20
- 12.6 Directional Derivative and the Gradient (Q1, Q6, Q12) 10:28
- 13.1 Double Integral (Q10, Q43, Q14, Q44) 22:02
- 13.1 Double Integral (Q9, Q35, Q36) 16:42
- 13.3 Double Integral in Polar Coordinate (Q8, Q31) 11:57
- 13.3 Double Integral in Polar Coordinate (Q7) 04:41
- 13.4 Surface Area 12:52
- 13.5 Triple Integral (Q2, Q5) 18:37
- 9.1 Parametric Equation (22, 23, 27, 28) 10:19
- 9,2 Calculus and Parametric Equation (Q1, Q4, Q9, Q11) 31:22
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Homework
- Homework 1 37:22
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Quiz 1
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Mid 1
- Quiz 2
- Mid 2
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Final
- Final (النموذج الأول) 52:36
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معلومات أساسية
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Substitution in Definite Integrals. Integration by Parts. Trigonometric Techniques of Integration. Integration of
Rational Functions using Partial Fractions. Improper Integrals.
Infinite Series(Convergence and divergence) Integral test. p-series test Infinite series Comparison test, Limit
Comparison test Alternating series Absolute convergence; ratio test, root test. Power series.
Functions of several variables, Limits and Continuity. Partial derivatives, Tangent Planes. Chain rule; the gradient
and directional derivatives,
Double Integrals in Cartesian Coordinates; Doubles Integrals in Polar Coordinates.
Plane Curves and Parametric Equations, Calculus and Parametric Equations. Arc Length and Surface Area in
Parametric Equations; Polar Coordinates -
• Hadeel Mohammed Almadiny. • Lecturer in Vision Academy. • Specialty in mathematics. • Graduated from (KSU)with calss honor. ~ Experiences: • teacher in international school. • English language. • Strategic teaching course. ~ Achievements: • Title of scientific meeting leader in KSU.
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يعطيك العافيه تيتشر هديل على كل ما بذلتيه من جهود معنا خلال الكورس ما شاء الله سرعه في تنزيل الشروح والواجبات اول باول وتتجاوب معي ومع بقيه الزملاء صددق ما ندمت اني اخذت الكورس معاك❤️❤️
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أشكرك مس هديل على الكورس كان كافي ووافي ما احتجت لأي مصادر خارجية معه. الشرح واضح والمقاطع مدتها مناسبة.
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