Engineering Mathematics I

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