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 ) 105 Students enrolled
Last updated Mon, 03-Jan-2022 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
187 Lessons 34:00 Minutes
0. Introduction to Course
1 Lessons 12 Minutes
  • 0. Marking scheme 12 Minutes Free
  • 1. Derivative (Concept&Definition) 08 Minutes Free
  • 2. Exercise-1-Q.N.1-i 03 Minutes Free
  • 2. Exercise-1-Q.N.1-i. 03 Minutes
  • 3. Exercise-1-Q.N.1-III 09 Minutes
  • 4. Exercise-1-Q,N.-1-V 06 Minutes
  • 1. Chapter-2-Higher order derivatives- Definition & formulas 16 Minutes
  • 2. Exercise-2-Q.N.1-i 06 Minutes
  • 3. Exercise-2-Q.N.1.iv 08 Minutes
  • 4. Exercise-2-Q.N.1.Vii 05 Minutes
  • 5.Exercise-2-Q.N.1-IX 05 Minutes
  • 6.Exercise-2-Q.N.2.and Q.N.5 13 Minutes
  • 7.Exercise-2-Q.N.9 and Q.N.10 16 Minutes
  • 8. Exercise-2-Q.N.13 06 Minutes
  • 9. Exercise-2-Q.N.14 09 Minutes
  • 10. Example-1- BE Question-Solution 09 Minutes
  • 11. Example-2-BE Question-Solution 08 Minutes
  • 12.Example-3-BE Question-Solution 07 Minutes
  • 1. Rolles theorem 10 Minutes
  • 2. Geometrical Interpretation of Rolles Thoerem 05 Minutes
  • 3. Lagranges MVT 13 Minutes
  • 4. Cauchys Mean Value Theorem 07 Minutes
  • 5. Taylors Series & Maclaurins Series 15 Minutes
  • 6. Exercise-3-Q.N.1.I & VI 12 Minutes
  • 7. Exercise-3- Q,N-1- V 06 Minutes
  • 8. Exercise-3-Q.N.2-i 06 Minutes
  • 9. Exercise-3-Q.N.3-vi 08 Minutes
  • 10. Exercise-3-Q.N-4 11 Minutes
  • 11. Exercise-3-Q.N.6 -I & VII 11 Minutes
  • 12. Exercise-3-Q.N.6-IX & X 12 Minutes
  • 13. Exercise-3-Q.N.7. I 12 Minutes
  • 14. Exercise-3-Q,N,7-III 07 Minutes
  • 15. Exercise-3-Q.N.7-VI 06 Minutes
  • 16. Exercise-3-Q.N.8 19 Minutes
  • 1. Indeterminate Forms-Defintion 07 Minutes
  • 2. Exercise-4-Q.N.1-I, III & V 09 Minutes
  • 3. Exercise-4-Q.N.1-VII,XI,XIII 11 Minutes
  • 4. Exercise-4-Q.N.2-I,IV & V 08 Minutes
  • 5. Exercise-4-Q.N.3-I,II & IV 08 Minutes
  • 6. Exercise-4-Q.N.4-I 05 Minutes
  • 1. Asymptotes- Introduction 16 Minutes
  • 2. Rule 2-Oblique Asymptotes 10 Minutes
  • 3. Exercise-5-Q.N.1-I 07 Minutes
  • 4. Exercise-5-Q.N-1-III 06 Minutes
  • 5. Exercise-5- Q.N.1.V & VII 15 Minutes
  • 6. Exercise-5-Q.N.1- IX & XII 07 Minutes
  • 7. Exercise-5-Q.N.2-II 11 Minutes
  • 8. Exercise-5-Q.N.2.-VII 08 Minutes
  • 9. Exercise-5-Q.N.2-IX 07 Minutes
  • 10. EXercise-5-Q.N.3 -I 06 Minutes
  • 11. Example-1-BE -Question & Answer 09 Minutes
  • 12. Example-2- BE-Question-Answer 09 Minutes
  • 13. Example-3-B,E.-Question-Answer 11 Minutes
  • 1. Curvature-Introduction 10 Minutes
  • 2. Formulae of Radius of curvature 07 Minutes
  • 3. Radius of curvature-Cartesian curve 09 Minutes
  • 4. Radius of curvature-Parametric curve 06 Minutes
  • 5. Radius of curvature of polar curve 07 Minutes
  • 6. Radius of Curvature of pedal curve & Chord of curvature 18 Minutes
  • 7. Pedal Equations 04 Minutes
  • 8. Exercise-6-Q.N.1-I,II & V 17 Minutes
  • 9. Exercise-6-Q.N.2-I &V 10 Minutes
  • 10. Exercise-6-Q.N.2V (LastPart) & Q.N.-3 10 Minutes
  • 11. Exercise-6-Q.N.4 09 Minutes
  • 12. Exercise-6-Q.N.5-I & III and Q.N.6 -I & III 11 Minutes
  • 13. Exercise-6-Q.N.7-I & Q.N.8 13 Minutes
  • 14. Exercise-6Q.N.9 & 10-I 16 Minutes
  • 15. Exercise-6-Q.N. 11 and Q.N-14-III & 15-III 18 Minutes
  • 16. Exercise-6-Q.N.15-IV &V 09 Minutes
  • 17. Examples-1,2,3- BE-Questions-Answers 18 Minutes
  • 18.Example-4- BE-Question-Answer 10 Minutes
  • 1. Indefinite Integral- exercise-7- Q.N.1.4,6 &10 13 Minutes
  • 1. Definite Integral-Introduction
    • 1. Definite integral-Ex-8- Q.N.1,6,9 &10 09 Minutes
    • 2. Ex-8- Q.N.15 & 19 09 Minutes
    • 3. Ex-8- Q.N.23 & 26 06 Minutes
    2. Properties Of Definite Integral
    • 1.Properties of Definite Integral- Ex- 9- Q.N.1 & 4 08 Minutes
    • 2. Ex-9- Q.N.7 & 9 11 Minutes
    • 3. Ex-9- Q.N.13 05 Minutes
    • 4. Example-1- BE Question & Answer 06 Minutes
    • 5. Example-2- BE Quesdtion & Answer 06 Minutes
    3. Improper Integral
    • 1. Ex-11- Q.N.1 & 5 09 Minutes
    • 2. Ex-11- Q.N.8 &9 07 Minutes
    • 3. Ex-11-Q.N.13 04 Minutes
    4. Differentiation Under Integral Sign
    • 1. Differentiation Under Integral sign- Ex-17- Q.N.1 &6 14 Minutes
    • 2. Ex-Q.N.7 09 Minutes
    • 3. Ex-Q.N.9 07 Minutes
    • 4. Example- BE Question & Answer 05 Minutes
  • 1. Exercise-13- Q,N.1 & 3 15 Minutes
  • 2. Exercise-13-Q.N.4 06 Minutes
  • 3. Ex-13- Q.N.6 09 Minutes
  • 4. Gamma beta functions- Ex-14- Q.N. 1. i & ii, 2. i, 3. i 14 Minutes
  • 5. Exercise-14-Q.N.3. v & Vii and 5. i & iii 15 Minutes
  • 6. Exercise-14-Q.N.6 & 8 09 Minutes
  • 7. Examples-1, 2 & 3- BE exam Questions solved 17 Minutes
  • 1. Quadrature- Exercise-15-Q.N2 14 Minutes
  • 2. Exercise-15-Q.N.7,9.11-i & iii 33 Minutes
  • 3. Exercise-15-Q.N.12, 14 &15 16 Minutes
  • 1.Rectification-Ex-16-Q.n.2 i 06 Minutes
  • 2. Ex-16-Q.N.6 07 Minutes
  • 3. Ex-16- Q.N.8 05 Minutes
  • 1.Volume & surface- Ex-17-Q.N.1 06 Minutes
  • 2. Ex-17-Q.N.6 04 Minutes
  • 3. Ex-17-Q.N.9 07 Minutes
  • 4. Ex-17-Q.N.10 06 Minutes
  • 5. Example-1- BE Questions & Solutions 05 Minutes
  • 6. Example-2- BE Problem & Solution 07 Minutes
  • 7. Example-3- BE Problem & Solution 05 Minutes
  • 1.Chapter-14- Ordinary Differential Equation [ODE} 20 Minutes
  • 2. Exercise-18- Q.N.1,2 16 Minutes
  • 3. Exercise-18-Q.N.3 05 Minutes
  • 1. Chapter-15-Ist order & degree DE- Exercise-19- Q.N.1,5 &8 09 Minutes
  • 2. Exercise-19- Q.N.9, 12 & 13 07 Minutes
  • 3. Exercise-19-Q.N.16 &17 06 Minutes
  • 4 .Change of Variable- Exercise-20- Q,N.1 &4 11 Minutes
  • 5. Exercise-20- Q.N.6 & 9 07 Minutes
  • 6. Exercise-20- Q.N.-10& 11 12 Minutes
  • 7 .Homogeneous DE-Exercise-21- Q.N.1 11 Minutes
  • 8. EXercise-21-Q.N.3 & 6 11 Minutes
  • 9. Exercise-21-Q.N.8, 9 & 12 15 Minutes
  • 10. Examples-1 & 2- BE- Question & Answers 08 Minutes
  • 11. DE Reducible to Homogeneous Form- Exercise-22- Q.N.1 & 4 17 Minutes
  • 12.Exercise-22- Q.N,-6 23 Minutes
  • 13.Exercise-22-Q,N,-10 10 Minutes
  • 14. Ist order linear DE- Exercise-23- Q.N.1,4 13 Minutes
  • 15. Exercise-23- Q.N.8 & 10 07 Minutes
  • 16. Exercise-23-Q.N.12&14 08 Minutes
  • 17. Examples-BE- Questions & Answers 08 Minutes
  • 18. Exercise-24-Q.N.5,8 & 9 17 Minutes
  • 19. Examples-1 &2- BE Questions 11 Minutes
  • 1. Chapter-16-1st order but not 1st degree D,E.-Ex-26- Q.N.1, 3,5 &7 16 Minutes
  • 2. Ex-26- Q.N.9 & Example-1- BE Question & Answer 08 Minutes
  • 3. Exercise-27-Q.N.1,3,&7 16 Minutes
  • 4.Ex-27-Q.N.13,14 & 16 11 Minutes
  • 5. Examples-1 &2 -BE Questions & Answers 10 Minutes
  • 6. Clairauts equation- Ex-28-1,4 &6 16 Minutes
  • 7. Exercise-28-QN.8 & Example-1-BE-Question &Answer 13 Minutes
  • 1.Ex-29- Q.N.1, &4 11 Minutes
  • 2.Ex-29- Q.N.7 02 Minutes
  • 3.Exercise-29-Q.N.9 &12 05 Minutes
  • 4.Particular Integral-Ex-30-Q.N.1,&5 15 Minutes
  • 5. Ex-30- Q.N.8 06 Minutes
  • 6.Exercise-30-Q.N.10,14,16 &20 14 Minutes
  • 7. Examples-1 &2 BE questions ad Answers 08 Minutes
  • 8. homogeneous linear DE- Ex-31- Q.N.1,4 &6 17 Minutes
  • 9. Ex.31-Q.N.9 &12 16 Minutes
  • 10. Examples-1 &2 BE Questions solutions 08 Minutes
  • Chapter-18 Application of DE in engineering field 14 Minutes
  • 1. Transformation of axes 17 Minutes
  • 2. Exercise-32- Q.N.1,3,6 14 Minutes
  • 3. Exercise-32-Q.N.-9 12 Minutes
  • 4. Exercise-32-Q.N.10 09 Minutes
  • 5. Exercise-32-Q.N-12 09 Minutes
  • 6. Examples-1& 2-BE-Question -Answers 16 Minutes
  • 7. Examples-3 &4- BE-Question -Answer 12 Minutes
  • 1. The Ellipse- Standard Form 22 Minutes
  • 2. Some Formulae 06 Minutes
  • 3. Exercise-33-Q.N.1- I & IV 10 Minutes
  • 4. Exerrcise-33-Q.N.2-I & 4-I & III 15 Minutes
  • 5. Exercise-33-Q.N.5-II & Q.N.9 19 Minutes
  • 6. Exercise-33-Q.N.11 07 Minutes
  • 7. Tangent & Normal- Formulae And Exercise-34-Q,N-1-I 12 Minutes
  • 8. Exercise-34-Q.N.2 & 4 14 Minutes
  • 9. Exercise-34-Q.N. 6 & 8 13 Minutes
  • 10. Exercise-34-Q.N.10 08 Minutes
  • 1. The Hyperbola- Standard Equation 15 Minutes
  • 2. Some formula of hyperbola 04 Minutes
  • 3. Exercise-35-Q.N.1-I & IV 12 Minutes
  • 4. Exercise-35-Q.N.2-I & III And Q.N.-4 09 Minutes
  • 5. Exercise-35-Q.N.6 03 Minutes
  • 6. Examples-1- And 2- BE- Question and Answers 07 Minutes
  • 7. Tangent and Normal of hyperbola 02 Minutes
  • 8. Exercise-36- Q.N.1 & 4 09 Minutes
  • 9. Exercise-35-Q.N.7 & 8 07 Minutes
  • 10. Examples-1-& 2- BE- Questions & Answers 13 Minutes
  • 1. General Equation Of 2nd Degree- Definitions & Formulae 20 Minutes
  • 2. Formulae on Parabola by 2nd Degree Equation 17 Minutes
  • 3.Exercise-37-Q.N.1 28 Minutes
  • 4. Exercise-37-Q.N.3 16 Minutes
  • 5. Exercise-37- Q.N.3- Last part 05 Minutes
  • 6. Exercise-37-Q,N. 5-i 15 Minutes
  • 7. Exercise-37-Q.N.7-I 18 Minutes
  • 8. Polar Equations of conic 05 Minutes
  • 9. Exercise-38-Q.N.1 08 Minutes
  • 10. Exercise-38-Q.N.2 20 Minutes
  • 11. Exercise-38-Q.N.4 12 Minutes
  • 12. Exercise-38-Q.N.9 13 Minutes
  • 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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