# Engineering Mathematics I

Engineering Math I Bachelor of Engineering(BE) videos According to syllabus of Institute of Engineering(IoE), Tribhuvan University (TU)

Intermediate 5 (3 Reviews ) 86 Students enrolled
Created by Mero School Last updated Mon, 31-May-2021 Nepali
What will I learn?
• After Completion of this Course, Students will get complete knowledge of Engineering Mathematics I, based on syllabus of IoE and will be able to secure good score in IoE exam.

Curriculum for this course
186 Lessons 33:59:10 H:M:S
0. Introduction to Course
1 Lessons 00:12:00 H:M:S
• 0. Marking scheme 00:12:00 Free
• 1. Derivative (Concept&Definition) 00:08:48 Free
• 2. Exercise-1-Q.N.1-i 00:03:14 Free
• 3. Exercise-1-Q.N.1-III 00:09:30
• 4. Exercise-1-Q,N.-1-V 00:06:41
• 1. Chapter-2-Higher order derivatives- Definition & formulas 00:16:14
• 2. Exercise-2-Q.N.1-i 00:06:37
• 3. Exercise-2-Q.N.1.iv 00:08:03
• 4. Exercise-2-Q.N.1.Vii 00:05:49
• 5.Exercise-2-Q.N.1-IX 00:05:33
• 6.Exercise-2-Q.N.2.and Q.N.5 00:13:12
• 7.Exercise-2-Q.N.9 and Q.N.10 00:16:48
• 8. Exercise-2-Q.N.13 00:06:20
• 9. Exercise-2-Q.N.14 00:09:16
• 10. Example-1- BE Question-Solution 00:09:42
• 11. Example-2-BE Question-Solution 00:08:53
• 12.Example-3-BE Question-Solution 00:07:11
• 1. Rolles theorem 00:10:34
• 2. Geometrical Interpretation of Rolles Thoerem 00:05:25
• 3. Lagranges MVT 00:13:44
• 4. Cauchys Mean Value Theorem 00:07:56
• 5. Taylors Series & Maclaurins Series 00:15:41
• 6. Exercise-3-Q.N.1.I & VI 00:12:53
• 7. Exercise-3- Q,N-1- V 00:06:47
• 8. Exercise-3-Q.N.2-i 00:06:10
• 9. Exercise-3-Q.N.3-vi 00:08:26
• 10. Exercise-3-Q.N-4 00:11:32
• 11. Exercise-3-Q.N.6 -I & VII 00:11:08
• 12. Exercise-3-Q.N.6-IX & X 00:12:28
• 13. Exercise-3-Q.N.7. I 00:12:04
• 14. Exercise-3-Q,N,7-III 00:07:53
• 15. Exercise-3-Q.N.7-VI 00:06:46
• 16. Exercise-3-Q.N.8 00:19:00
• 1. Indeterminate Forms-Defintion 00:07:29
• 2. Exercise-4-Q.N.1-I, III & V 00:09:11
• 3. Exercise-4-Q.N.1-VII,XI,XIII 00:11:36
• 4. Exercise-4-Q.N.2-I,IV & V 00:08:19
• 5. Exercise-4-Q.N.3-I,II & IV 00:08:43
• 6. Exercise-4-Q.N.4-I 00:05:59
• 1. Asymptotes- Introduction 00:16:03
• 2. Rule 2-Oblique Asymptotes 00:10:20
• 3. Exercise-5-Q.N.1-I 00:07:13
• 4. Exercise-5-Q.N-1-III 00:06:41
• 5. Exercise-5- Q.N.1.V & VII 00:15:28
• 6. Exercise-5-Q.N.1- IX & XII 00:07:10
• 7. Exercise-5-Q.N.2-II 00:11:28
• 8. Exercise-5-Q.N.2.-VII 00:08:12
• 9. Exercise-5-Q.N.2-IX 00:07:29
• 10. EXercise-5-Q.N.3 -I 00:06:25
• 11. Example-1-BE -Question & Answer 00:09:24
• 1. Curvature-Introduction 00:10:25
• 2. Formulae of Radius of curvature 00:07:33
• 3. Radius of curvature-Cartesian curve 00:09:57
• 4. Radius of curvature-Parametric curve 00:06:08
• 5. Radius of curvature of polar curve 00:07:05
• 6. Radius of Curvature of pedal curve & Chord of curvature 00:18:31
• 7. Pedal Equations 00:04:39
• 8. Exercise-6-Q.N.1-I,II & V 00:17:10
• 9. Exercise-6-Q.N.2-I &V 00:10:48
• 10. Exercise-6-Q.N.2V (LastPart) & Q.N.-3 00:10:01
• 11. Exercise-6-Q.N.4 00:09:34
• 12. Exercise-6-Q.N.5-I & III and Q.N.6 -I & III 00:11:01
• 13. Exercise-6-Q.N.7-I & Q.N.8 00:13:18
• 14. Exercise-6Q.N.9 & 10-I 00:16:23
• 15. Exercise-6-Q.N. 11 and Q.N-14-III & 15-III 00:18:26
• 16. Exercise-6-Q.N.15-IV &V 00:09:37
• 1. Indefinite Integral- exercise-7- Q.N.1.4,6 &10 00:13:58
• 1. Definite Integral-Introduction
• 1. Definite integral-Ex-8- Q.N.1,6,9 &10 00:09:09
• 2. Ex-8- Q.N.15 & 19 00:09:06
• 3. Ex-8- Q.N.23 & 26 00:06:50
2. Properties Of Definite Integral
• 1.Properties of Definite Integral- Ex- 9- Q.N.1 & 4 00:08:53
• 2. Ex-9- Q.N.7 & 9 00:11:24
• 3. Ex-9- Q.N.13 00:05:27
• 4. Example-1- BE Question & Answer 00:06:57
• 5. Example-2- BE Quesdtion & Answer 00:06:29
3. Improper Integral
• 1. Ex-11- Q.N.1 & 5 00:09:52
• 2. Ex-11- Q.N.8 &9 00:07:07
• 3. Ex-11-Q.N.13 00:04:53
4. Differentiation Under Integral Sign
• 1. Differentiation Under Integral sign- Ex-17- Q.N.1 &6 00:14:26
• 2. Ex-Q.N.7 00:09:40
• 3. Ex-Q.N.9 00:07:28
• 4. Example- BE Question & Answer 00:05:50
• 1. Exercise-13- Q,N.1 & 3 00:15:44
• 2. Exercise-13-Q.N.4 00:06:40
• 3. Ex-13- Q.N.6 00:09:24
• 4. Gamma beta functions- Ex-14- Q.N. 1. i & ii, 2. i, 3. i 00:14:26
• 5. Exercise-14-Q.N.3. v & Vii and 5. i & iii 00:15:18
• 6. Exercise-14-Q.N.6 & 8 00:09:26
• 7. Examples-1, 2 & 3- BE exam Questions solved 00:17:45
• 2. Exercise-15-Q.N.7,9.11-i & iii 00:33:04
• 3. Exercise-15-Q.N.12, 14 &15 00:16:06
• 1.Rectification-Ex-16-Q.n.2 i 00:06:50
• 2. Ex-16-Q.N.6 00:07:02
• 3. Ex-16- Q.N.8 00:05:24
• 1.Volume & surface- Ex-17-Q.N.1 00:06:57
• 2. Ex-17-Q.N.6 00:04:41
• 3. Ex-17-Q.N.9 00:07:34
• 4. Ex-17-Q.N.10 00:06:38
• 5. Example-1- BE Questions & Solutions 00:05:56
• 6. Example-2- BE Problem & Solution 00:07:49
• 7. Example-3- BE Problem & Solution 00:05:49
• 1.Chapter-14- Ordinary Differential Equation [ODE} 00:20:11
• 2. Exercise-18- Q.N.1,2 00:16:38
• 3. Exercise-18-Q.N.3 00:05:54
• 1. Chapter-15-Ist order & degree DE- Exercise-19- Q.N.1,5 &8 00:09:29
• 2. Exercise-19- Q.N.9, 12 & 13 00:07:53
• 3. Exercise-19-Q.N.16 &17 00:06:49
• 4 .Change of Variable- Exercise-20- Q,N.1 &4 00:11:31
• 5. Exercise-20- Q.N.6 & 9 00:07:29
• 6. Exercise-20- Q.N.-10& 11 00:12:16
• 7 .Homogeneous DE-Exercise-21- Q.N.1 00:11:05
• 8. EXercise-21-Q.N.3 & 6 00:11:53
• 9. Exercise-21-Q.N.8, 9 & 12 00:15:05
• 10. Examples-1 & 2- BE- Question & Answers 00:08:51
• 11. DE Reducible to Homogeneous Form- Exercise-22- Q.N.1 & 4 00:17:36
• 12.Exercise-22- Q.N,-6 00:23:14
• 13.Exercise-22-Q,N,-10 00:10:47
• 14. Ist order linear DE- Exercise-23- Q.N.1,4 00:13:49
• 15. Exercise-23- Q.N.8 & 10 00:07:44
• 16. Exercise-23-Q.N.12&14 00:08:42
• 17. Examples-BE- Questions & Answers 00:08:23
• 19. Exercise-24-Q.N.5,8 & 9 00:17:19
• 20. Examples-1 &2- BE Questions 00:11:31
• 1. Chapter-16-1st order but not 1st degree D,E.-Ex-26- Q.N.1, 3,5 &7 00:16:06
• 2. Ex-26- Q.N.9 & Example-1- BE Question & Answer 00:08:28
• 3. Exercise-27-Q.N.1,3,&7 00:16:18
• 4.Ex-27-Q.N.13,14 & 16 00:11:25
• 5. Examples-1 &2 -BE Questions & Answers 00:10:15
• 6. Clairauts equation- Ex-28-1,4 &6 00:16:04
• 7. Exercise-28-QN.8 & Example-1-BE-Question &Answer 00:13:00
• 1.Ex-29- Q.N.1, &4 00:11:05
• 2.Ex-29- Q.N.7 00:02:33
• 3.Exercise-29-Q.N.9 &12 00:05:07
• 4.Particular Integral-Ex-30-Q.N.1,&5 00:15:59
• 5. Ex-30- Q.N.8 00:06:32
• 6.Exercise-30-Q.N.10,14,16 &20 00:14:04
• 8. homogeneous linear DE- Ex-31- Q.N.1,4 &6 00:17:20
• 9. Ex.31-Q.N.9 &12 00:16:12
• 10. Examples-1 &2 BE Questions solutions 00:08:12
• Chapter-18 Application of DE in engineering field 00:14:50
• 1. Transformation of axes 00:17:53
• 2. Exercise-32- Q.N.1,3,6 00:14:15
• 3. Exercise-32-Q.N.-9 00:12:19
• 4. Exercise-32-Q.N.10 00:09:57
• 5. Exercise-32-Q.N-12 00:09:16
• 6. Examples-1& 2-BE-Question -Answers 00:16:21
• 7. Examples-3 &4- BE-Question -Answer 00:12:09
• 1. The Ellipse- Standard Form 00:22:04
• 2. Some Formulae 00:06:26
• 3. Exercise-33-Q.N.1- I & IV 00:10:30
• 4. Exerrcise-33-Q.N.2-I & 4-I & III 00:15:50
• 5. Exercise-33-Q.N.5-II & Q.N.9 00:19:53
• 6. Exercise-33-Q.N.11 00:07:12
• 7. Tangent & Normal- Formulae And Exercise-34-Q,N-1-I 00:12:23
• 8. Exercise-34-Q.N.2 & 4 00:14:56
• 9. Exercise-34-Q.N. 6 & 8 00:13:47
• 10. Exercise-34-Q.N.10 00:08:38
• 1. The Hyperbola- Standard Equation 00:15:15
• 2. Some formula of hyperbola 00:04:41
• 3. Exercise-35-Q.N.1-I & IV 00:12:17
• 4. Exercise-35-Q.N.2-I & III And Q.N.-4 00:09:58
• 5. Exercise-35-Q.N.6 00:03:11
• 6. Examples-1- And 2- BE- Question and Answers 00:07:56
• 7. Tangent and Normal of hyperbola 00:02:52
• 8. Exercise-36- Q.N.1 & 4 00:09:36
• 9. Exercise-35-Q.N.7 & 8 00:07:58
• 10. Examples-1-& 2- BE- Questions & Answers 00:13:01
• 1. General Equation Of 2nd Degree- Definitions & Formulae 00:20:02
• 2. Formulae on Parabola by 2nd Degree Equation 00:17:11
• 3.Exercise-37-Q.N.1 00:28:30
• 4. Exercise-37-Q.N.3 00:16:26
• 5. Exercise-37- Q.N.3- Last part 00:05:51
• 6. Exercise-37-Q,N. 5-i 00:15:45
• 7. Exercise-37-Q.N.7-I 00:18:35
• 8. Polar Equations of conic 00:05:08
• 9. Exercise-38-Q.N.1 00:08:58
• 10. Exercise-38-Q.N.2 00:20:01
• 11. Exercise-38-Q.N.4 00:12:37
• 12. Exercise-38-Q.N.9 00:13:41
• Requirements
• Students are required to have knowledge of Engineering Mathematics I, based on syllabus of IoE.
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Description

The videos herein are strictly based on syllabus of Institute of Engineering Tribhuvan University, Nepal promoting "e-Learning in Nepal" and are made with intention to provide guidance to the "Bachelor in Engineering(BE) appearing students", for securing good results. The course tries to cover all the basics of Calculus of Several Variables, Multiple Integral and 3D Geometry. This course also comprises Solution of Differential Equation in Series & Special Function, Vector Algebra and Calculus and Infinite Series with solution of most frequently asked questions in final exam of BE with fundamental theories and numerical. We strongly believe that, viewers will be benefited from these videos and the thirst of curiosity of viewers will be quenched! Feedbacks and suggestion to improve are always welcome and highly appreciated!

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