What you'll 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.
Course Curriculum
22 Sections • 185 Lectures
Free Preview Available: Watch "0. Marking scheme.mp4" before enrolling.
0. Marking scheme.mp4
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00:12:00
1. Derivative (Concept&Definition).mp4
Free Preview
00:08:48
2. Exercise-1-Q.N.1-i..mp4
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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.
Course 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!
Instructor
M
Mero School Academic Team
Senior Academic Instructor • Mero School E-Learning
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