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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300 ريال -200ريال
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المحاضرات
177 فيديو
المدة الزمنية
56:40:07
الملفات
7 ملف
الواجبات
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الجزء العملي
No
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No
الشهادة
Not Applicable
التقييمات (4)
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