Engineering Mathematics I

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

Intermediate 4 (5 Reviews ) 155 Students enrolled
Last updated Thu, 19-May-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 34h 0m
0. Introduction to Course
1 Lessons 12m
  • 0. Marking scheme 12 Minutes Free
  • 1. Derivative (Concept&Definition) 8 Minutes Free
  • 2. Exercise-1-Q.N.1-i 3 Minutes Free
  • 3. Exercise-1-Q.N.1-III 9 Minutes
  • 4. Exercise-1-Q,N.-1-V 6 Minutes
  • 1. Chapter-2-Higher order derivatives- Definition & formulas 16 Minutes
  • 2. Exercise-2-Q.N.1-i 6 Minutes
  • 3. Exercise-2-Q.N.1.iv 8 Minutes
  • 4. Exercise-2-Q.N.1.Vii 5 Minutes
  • 5.Exercise-2-Q.N.1-IX 5 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 6 Minutes
  • 9. Exercise-2-Q.N.14 9 Minutes
  • 10. Example-1- BE Question-Solution 9 Minutes
  • 11. Example-2-BE Question-Solution 8 Minutes
  • 12.Example-3-BE Question-Solution 7 Minutes
  • 1. Rolles theorem 10 Minutes
  • 2. Geometrical Interpretation of Rolles Thoerem 5 Minutes
  • 3. Lagranges MVT 13 Minutes
  • 4. Cauchys Mean Value Theorem 7 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 6 Minutes
  • 8. Exercise-3-Q.N.2-i 6 Minutes
  • 9. Exercise-3-Q.N.3-vi 8 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 7 Minutes
  • 15. Exercise-3-Q.N.7-VI 6 Minutes
  • 16. Exercise-3-Q.N.8 19 Minutes
  • 1. Indeterminate Forms-Defintion 7 Minutes
  • 2. Exercise-4-Q.N.1-I, III & V 9 Minutes
  • 3. Exercise-4-Q.N.1-VII,XI,XIII 11 Minutes
  • 4. Exercise-4-Q.N.2-I,IV & V 8 Minutes
  • 5. Exercise-4-Q.N.3-I,II & IV 8 Minutes
  • 6. Exercise-4-Q.N.4-I 5 Minutes
  • 1. Asymptotes- Introduction 16 Minutes
  • 2. Rule 2-Oblique Asymptotes 10 Minutes
  • 3. Exercise-5-Q.N.1-I 7 Minutes
  • 4. Exercise-5-Q.N-1-III 6 Minutes
  • 5. Exercise-5- Q.N.1.V & VII 15 Minutes
  • 6. Exercise-5-Q.N.1- IX & XII 7 Minutes
  • 7. Exercise-5-Q.N.2-II 11 Minutes
  • 8. Exercise-5-Q.N.2.-VII 8 Minutes
  • 9. Exercise-5-Q.N.2-IX 7 Minutes
  • 10. EXercise-5-Q.N.3 -I 6 Minutes
  • 11. Example-1-BE -Question & Answer 9 Minutes
  • 12. Example-2- BE-Question-Answer 9 Minutes
  • 13. Example-3-B,E.-Question-Answer 11 Minutes
  • 1. Curvature-Introduction 10 Minutes
  • 2. Formulae of Radius of curvature 7 Minutes
  • 3. Radius of curvature-Cartesian curve 9 Minutes
  • 4. Radius of curvature-Parametric curve 6 Minutes
  • 5. Radius of curvature of polar curve 7 Minutes
  • 6. Radius of Curvature of pedal curve & Chord of curvature 18 Minutes
  • 7. Pedal Equations 4 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 9 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 9 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 9 Minutes
    • 2. Ex-8- Q.N.15 & 19 9 Minutes
    • 3. Ex-8- Q.N.23 & 26 6 Minutes
    2. Properties Of Definite Integral
    • 1.Properties of Definite Integral- Ex- 9- Q.N.1 & 4 8 Minutes
    • 2. Ex-9- Q.N.7 & 9 11 Minutes
    • 3. Ex-9- Q.N.13 5 Minutes
    • 4. Example-1- BE Question & Answer 6 Minutes
    • 5. Example-2- BE Quesdtion & Answer 6 Minutes
    3. Improper Integral
    • 1. Ex-11- Q.N.1 & 5 9 Minutes
    • 2. Ex-11- Q.N.8 &9 7 Minutes
    • 3. Ex-11-Q.N.13 4 Minutes
    4. Differentiation Under Integral Sign
    • 1. Differentiation Under Integral sign- Ex-17- Q.N.1 &6 14 Minutes
    • 2. Ex-Q.N.7 9 Minutes
    • 3. Ex-Q.N.9 7 Minutes
    • 4. Example- BE Question & Answer 5 Minutes
  • 1. Exercise-13- Q,N.1 & 3 15 Minutes
  • 2. Exercise-13-Q.N.4 6 Minutes
  • 3. Ex-13- Q.N.6 9 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 9 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 6 Minutes
  • 2. Ex-16-Q.N.6 7 Minutes
  • 3. Ex-16- Q.N.8 5 Minutes
  • 1.Volume & surface- Ex-17-Q.N.1 6 Minutes
  • 2. Ex-17-Q.N.6 4 Minutes
  • 3. Ex-17-Q.N.9 7 Minutes
  • 4. Ex-17-Q.N.10 6 Minutes
  • 5. Example-1- BE Questions & Solutions 5 Minutes
  • 6. Example-2- BE Problem & Solution 7 Minutes
  • 7. Example-3- BE Problem & Solution 5 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 5 Minutes
  • 1. Chapter-15-Ist order & degree DE- Exercise-19- Q.N.1,5 &8 9 Minutes
  • 2. Exercise-19- Q.N.9, 12 & 13 7 Minutes
  • 3. Exercise-19-Q.N.16 &17 6 Minutes
  • 4 .Change of Variable- Exercise-20- Q,N.1 &4 11 Minutes
  • 5. Exercise-20- Q.N.6 & 9 7 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 8 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 7 Minutes
  • 16. Exercise-23-Q.N.12&14 8 Minutes
  • 17. Examples-BE- Questions & Answers 8 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 8 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 2 Minutes
  • 3.Exercise-29-Q.N.9 &12 5 Minutes
  • 4.Particular Integral-Ex-30-Q.N.1,&5 15 Minutes
  • 5. Ex-30- Q.N.8 6 Minutes
  • 6.Exercise-30-Q.N.10,14,16 &20 14 Minutes
  • 7. Examples-1 &2 BE questions ad Answers 8 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 8 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 9 Minutes
  • 5. Exercise-32-Q.N-12 9 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 6 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 7 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 8 Minutes
  • 1. The Hyperbola- Standard Equation 15 Minutes
  • 2. Some formula of hyperbola 4 Minutes
  • 3. Exercise-35-Q.N.1-I & IV 12 Minutes
  • 4. Exercise-35-Q.N.2-I & III And Q.N.-4 9 Minutes
  • 5. Exercise-35-Q.N.6 3 Minutes
  • 6. Examples-1- And 2- BE- Question and Answers 7 Minutes
  • 7. Tangent and Normal of hyperbola 2 Minutes
  • 8. Exercise-36- Q.N.1 & 4 9 Minutes
  • 9. Exercise-35-Q.N.7 & 8 7 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 5 Minutes
  • 6. Exercise-37-Q,N. 5-i 15 Minutes
  • 7. Exercise-37-Q.N.7-I 18 Minutes
  • 8. Polar Equations of conic 5 Minutes
  • 9. Exercise-38-Q.N.1 8 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.
    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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