Engineering Mathematics I @ 45 Days

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

Intermediate 4 (6 Reviews ) 368 Students enrolled
Last updated Wed, 09-Oct-2024 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
185 Lessons 33h 53m
0. Introduction to Course
1 Lessons
  • 0. Marking scheme.mp4 00:12:00
  • 1. Derivative (Concept&Definition).mp4 00:08:48
  • 2. Exercise-1-Q.N.1-i..mp4 00:03:14
  • 3. Exercise-1-Q.N.1-III.mp4 00:09:30
  • 4. Exercise-1-Q,N.-1-V.mp4 00:06:41
  • 1. Chapter-2-Higher order derivatives- Definition & formulas.mp4 00:16:14
  • 2. Exercise-2-Q.N.1-i.mp4 00:06:37
  • 3. Exercise-2-Q.N.1.iv.mp4 00:08:03
  • 4. Exercise-2-Q.N.1.Vii.mp4 00:05:49
  • 5.Exercise-2-Q.N.1-IX.mp4 00:05:33
  • 6.Exercise-2-Q.N.2.and Q.N.5.mp4 00:13:12
  • 7.Exercise-2-Q.N.9 and Q.N.10.mp4 00:16:48
  • 8. Exercise-2-Q.N.13.mp4 00:06:20
  • 9. Exercise-2-Q.N.14.mp4 00:09:16
  • 10. Example-1- BE Question-Solution.mp4 00:09:42
  • 11. Example-2-BE Question-Solution.mp4 00:08:53
  • 12.Example-3-BE Question-Solution.mp4 00:07:11
  • 1. Rolles theorem.mp4 00:10:34
  • 2. Geometrical Interpretation of Rolles Thoerem.mp4 00:05:25
  • 3. Lagranges MVT.mp4 00:13:44
  • 4. Cauchys Mean Value Theorem.mp4 00:07:56
  • 5. Taylors Series & Maclaurins Series.mp4 00:15:41
  • 6. Exercise-3-Q.N.1.I & IV.mp4 00:12:53
  • 7. Exercise-3- Q,N-1- V.mp4 00:06:47
  • 8. Exercise-3-Q.N.2-i.mp4 00:06:10
  • 9. Exercise-3-Q.N.3-vi.mp4 00:08:26
  • 10. Exercise-3-Q.N-4.mp4 00:11:32
  • 11. Exercise-3-Q.N.6 -I & VII.mp4 00:11:08
  • 12. Exercise-3-Q.N.6-IX & X.mp4 00:12:28
  • 13. Exercise-3-Q.N.7. I.mp4 00:12:04
  • 14. Exercise-3-Q,N,7-III.mp4 00:07:53
  • 15. Exercise-3-Q.N.7-VI.mp4 00:06:46
  • 16. Exercise-3-Q.N.8.mp4 00:19:00
  • 1. Indeterminate Forms-Defintion.mp4 00:07:29
  • 2. Exercise-4-Q.N.1-I, III & V.mp4 00:09:11
  • 3. Exercise-4-Q.N.1-VII,XI,XIII.mp4 00:11:36
  • 4. Exercise-4-Q.N.2-I,IV & V.mp4 00:08:19
  • 5. Exercise-4-Q.N.3-I,II & IV.mp4 00:08:43
  • 6. Exercise-4-Q.N.4-I.mp4 00:05:53
  • 1. Asymptotes- Introduction.mp4 00:16:03
  • 2. Rule 2-Oblique Asymptotes.mp4 00:10:20
  • 3. Exercise-5-Q.N.1-I.mp4 00:07:13
  • 4. Exercise-5-Q.N-1-III.mp4 00:06:41
  • 5. Exercise-5- Q.N.1.V & VII.mp4 00:15:28
  • 6. Exercise-5-Q.N.1- IX & XII.mp4 00:07:10
  • 7. Exercise-5-Q.N.2-II.mp4 00:11:28
  • 8. Exercise-5-Q.N.2.-VII.mp4 00:08:12
  • 9. Exercise-5-Q.N.2-IX.mp4 00:07:29
  • 10. EXercise-5-Q.N.3 -I.mp4 00:06:25
  • 11. Example-1-BE -Question & Answer.mp4 00:09:24
  • 12. Example-2- BE-Question-Answer.mp4 00:09:52
  • 13. Example-3-B,E.-Question-Answer.mp4 00:11:57
  • 1. Curvature-Introduction.mp4 00:10:25
  • 2. Formulae of Radius of curvature.mp4 00:07:33
  • 3. Radius of curvature-Cartesian curve.mp4 00:09:57
  • 4. Radius of curvature-Parametric curve.mp4 00:06:08
  • 5. Radius of curvature of polar curve.mp4 00:07:05
  • 6. Radius of Curvature of pedal curve & Chord of curvature.mp4 00:18:31
  • 7. Pedal Equations.mp4 00:04:39
  • 8. Exercise-6-Q.N.1-I,II & V.mp4 00:17:10
  • 9. Exercise-6-Q.N.2-I &V.mp4 00:10:48
  • 10. Exercise-6-Q.N.2V (LastPart) & Q.N.-3.mp4 00:10:01
  • 11. Exercise-6-Q.N.4.mp4 00:09:34
  • 12. Exercise-6-Q.N.5-I & III and Q.N.6 -I & III.mp4 00:11:01
  • 13. Exercise-6-Q.N.7-I & Q.N.8.mp4 00:13:18
  • 14. Exercise-6Q.N.9 & 10-I.mp4 00:16:23
  • 15. Exercise-6-Q.N. 11 and Q.N-14-III & 15-III.mp4 00:18:26
  • 16. Exercise-6-Q.N.15-IV &V.mp4 00:09:37
  • 17. Examples-1,2,3- BE-Questions-Answers.mp4 00:18:43
  • 18.Example-4- BE-Question-Answer.mp4 00:10:21
  • 1. Indefinite Integral- exercise-7- Q.N.1.4,6 &10.mp4 00:13:58
  • Definite Integral-Introduction|1. Definite integral-Ex-8- Q.N.1,6,9 &10.mp4 00:09:09
  • Definite Integral-Introduction|2. Ex-8- Q.N.15 & 19.mp4 00:09:06
  • Definite Integral-Introduction|3. Ex-8- Q.N.23 & 26.mp4 00:06:50
  • Differentiation Under Integral Sign|1. Differentiation Under Integral sign- Ex-17- Q.N.1 &6.mp4 00:14:26
  • Differentiation Under Integral Sign|2. Ex-Q.N.7.mp4 00:09:40
  • Differentiation Under Integral Sign|3. Ex-Q.N.9.mp4 00:07:28
  • Differentiation Under Integral Sign|4. Example- BE Question & Answer.mp4 00:05:50
  • Improper Integral|1. Ex-11- Q.N.1 & 5.mp4 00:09:52
  • Improper Integral|2. Ex-11- Q.N.8 &9.mp4 00:07:07
  • Improper Integral|3. Ex-11-Q.N.12.mp4 00:04:53
  • Properties Of Definite Integral|1.Properties of Definite Integral- Ex- 9- Q.N.1 & 4.mp4 00:08:53
  • Properties Of Definite Integral|2. Ex-9- Q.N.7 & 9.mp4 00:11:24
  • Properties Of Definite Integral|3. Ex-9- Q.N.13.mp4 00:05:27
  • Properties Of Definite Integral|4. Example-1- BE Question & Answer.mp4 00:06:57
  • Properties Of Definite Integral|5. Example-2- BE Quesdtion & Answer.mp4 00:06:29
  • 1. Exercise-13- Q,N.1 & 3.mp4 00:15:44
  • 2. Exercise-13-Q.N.4.mp4 00:06:40
  • 3. Ex-13- Q.N.6.mp4 00:09:24
  • 4. Gamma beta functions- Ex-14- Q.N. 1. i & ii, 2. i, 3. i.mp4 00:14:26
  • 5. Exercise-14-Q.N.3. v & Vii and 5. i & iii.mp4 00:15:18
  • 6. Exercise-14-Q.N.6 & 8.mp4 00:09:26
  • 7. Examples-1, 2 & 3- BE exam Questions solved.mp4 00:17:45
  • 1. Quadrature- Exercise-15-Q.N2.mp4 00:14:03
  • 2. Exercise-15-Q.N.7,9.11-i & iii.mp4 00:33:04
  • 3. Exercise-15-Q.N.12, 14 &15.mp4 00:16:06
  • 1.Rectification-Ex-16-Q.n.2 i.mp4 00:06:50
  • 2. Ex-16-Q.N.6.mp4 00:07:02
  • 3. Ex-16- Q.N.8.mp4 00:05:24
  • 1.Volume & surface- Ex-17-Q.N.1.mp4 00:06:57
  • 2. Ex-17-Q.N.6.mp4 00:04:41
  • 3. Ex-17-Q.N.9.mp4 00:07:34
  • 4. Ex-17-Q.N.10.mp4 00:06:38
  • 5. Example-1- BE Questions & Solutions.mp4 00:05:56
  • 6. Example-2- BE Problem & Solution.mp4 00:07:49
  • 7. Example-3- BE Problem & Solution.mp4 00:05:49
  • 1.Chapter-14- Ordinary Differential Equation [ODE}.mp4 00:20:11
  • 2. Exercise-18- Q.N.1,2.mp4 00:16:38
  • 3. Exercise-18-Q.N.3.mp4 00:05:53
  • 1. Chapter-15-Ist order & degree DE- Exercise-19- Q.N.1,5 &8.mp4 00:09:29
  • 2. Exercise-19- Q.N.9, 12 & 13.mp4 00:07:52
  • 3. Exercise-19-Q.N.16 &17.mp4 00:06:49
  • 4 .Change of Variable- Exercise-20- Q,N.1 &4.mp4 00:11:31
  • 5. Exercise-20- Q.N.6 & 9.mp4 00:07:29
  • 6. Exercise-20- Q.N.-10& 11.mp4 00:12:16
  • 7 .Homogeneous DE-Exercise-21- Q.N.1.mp4 00:11:05
  • 8. EXercise-21-Q.N.3 & 6.mp4 00:11:53
  • 9. Exercise-21-Q.N.8, 9 & 12.mp4 00:15:05
  • 10. Examples-1 & 2- BE- Question & Answers.mp4 00:08:51
  • 11. DE Reducible to Homogeneous Form- Exercise-22- Q.N.1 & 4.mp4 00:17:36
  • 12.Exercise-22- Q.N,-6.mp4 00:23:14
  • 13.Exercise-22-Q,N,-10.mp4 00:10:47
  • 14. Ist order linear DE- Exercise-23- Q.N.1,4.mp4 00:13:49
  • 15. Exercise-23- Q.N.8 & 10.mp4 00:07:44
  • 16. Exercise-23-Q.N.12&14.mp4 00:08:42
  • 17. Examples-BE- Questions & Answers.mp4 00:08:14
  • 18. Exercise-24-Q.N.5,8 & 9.mp4 00:17:19
  • 19. Examples-1 &2- BE Questions.mp4 00:11:22
  • 1. Chapter-16-1st order but not 1st degree D,E.-Ex-26- Q.N.1, 3,5 &7.mp4 00:16:06
  • 2. Ex-26- Q.N.9 & Example-1- BE Question & Answer.mp4 00:08:28
  • 3. Exercise-27-Q.N.1,3,&7.mp4 00:16:18
  • 4.Ex-27-Q.N.13,14 & 16.mp4 00:11:25
  • 5. Examples-1 &2 -BE Questions & Answers.mp4 00:10:15
  • 6. Clairauts equation- Ex-28-1,4 &6.mp4 00:16:04
  • 7. Exercise-28-QN.8 & Example-1-BE-Question &Answer.mp4 00:13:00
  • 1.Ex-29- Q.N.1, &4.mp4 00:11:05
  • 2.Ex-29- Q.N.7.mp4 00:02:33
  • 3.Exercise-29-Q.N.9 &12.mp4 00:05:07
  • 4.Particular Integral-Ex-30-Q.N.1,&5.mp4 00:15:59
  • 5. Ex-30- Q.N.8.mp4 00:06:32
  • 6.Exercise-30-Q.N.10,14,16 &20.mp4 00:14:04
  • 7. Examples-1 &2 BE questions ad Answers.mp4 00:08:17
  • 8. homogeneous linear DE- Ex-31- Q.N.1,4 &6.mp4 00:17:20
  • 9. Ex.31-Q.N.9 &12.mp4 00:16:12
  • 10. Examples-1 &2 BE Questions solutions.mp4 00:08:12
  • Chapter-18 Application of DE in engineering field.mp4 00:14:50
  • 1. Transformation of axes.mp4 00:17:53
  • 2. Exercise-32- Q.N.1,3,6.mp4 00:14:15
  • 3. Exercise-32-Q.N.-9.mp4 00:12:19
  • 4. Exercise-32-Q.N.10.mp4 00:09:56
  • 5. Exercise-32-Q.N-12.mp4 00:09:15
  • 6. Examples-1& 2-BE-Question -Answers.mp4 00:16:21
  • 7. Examples-3 &4- BE-Question -Answer.mp4 00:12:09
  • 1. The Ellipse- Standard Form.mp4 00:22:04
  • 2. Some Formulae.mp4 00:06:26
  • 3. Exercise-33-Q.N.1- I & IV.mp4 00:10:30
  • 4. Exerrcise-33-Q.N.2-I & 4-I & III.mp4 00:15:50
  • 5. Exercise-33-Q.N.5-II & Q.N.9.mp4 00:19:53
  • 6. Exercise-33-Q.N.11.mp4 00:07:12
  • 7. Tangent & Normal- Formulae And Exercise-34-Q,N-1-I.mp4 00:12:23
  • 8. Exercise-34-Q.N.2 & 4.mp4 00:14:56
  • 9. Exercise-34-Q.N. 6 & 8.mp4 00:13:47
  • 10. Exercise-34-Q.N.10.mp4 00:08:38
  • 1. The Hyperbola- Standard Equation.mp4 00:15:15
  • 2. Some formula of hyperbola.mp4 00:04:41
  • 3. Exercise-35-Q.N.1-I & IV.mp4 00:12:17
  • 4. Exercise-35-Q.N.2-I & III And Q.N.-4.mp4 00:09:58
  • 5. Exercise-35-Q.N.6.mp4 00:03:11
  • 6. Examples-1- And 2- BE- Question and Answers.mp4 00:07:56
  • 7. Tangent and Normal of hyperbola.mp4 00:02:52
  • 8. Exercise-36- Q.N.1 & 4.mp4 00:09:36
  • 9. Exercise-35-Q.N.7 & 8.mp4 00:07:58
  • 10. Examples-1-& 2- BE- Questions & Answers.mp4 00:13:01
  • 1. General Equation Of 2nd Degree- Definitions & Formulae.mp4 00:20:02
  • 2. Formulae on Parabola by 2nd Degree Equation.mp4 00:17:11
  • 3.Exercise-37-Q.N.1.mp4 00:28:30
  • 4. Exercise-37-Q.N.3.mp4 00:16:26
  • 5. Exercise-37- Q.N.3- Last part.mp4 00:05:51
  • 6. Exercise-37-Q,N. 5-i.mp4 00:15:45
  • 7. Exercise-37-Q.N.7-I.mp4 00:18:34
  • 8. Polar Equations of conic.mp4 00:05:08
  • 9. Exercise-38-Q.N.1.mp4 00:08:58
  • 10. Exercise-38-Q.N.2.mp4 00:20:01
  • 11. Exercise-38-Q.N.4.mp4 00:12:37
  • 12. Exercise-38-Q.N.9.mp4 00:13:41
Requirements
  • Students are required to have knowledge of Engineering Mathematics I, based on syllabus of IoE.
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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