MATH 146
U of A
Course Overview
Lessons & Practice
I. Welcome
1. Hyperbolic function
4min2. Inverse hyperbolic function
37sec3. Integration by parts
18min4. Trigonometric integrals
38min4.1.1. Trigonometric Integrals3 min4.1.2. Practice (odd power of )3 min4.1.3. Practice (odd power of )3 min4.1.4. Practice (even powers of & )2 min4.1.5. Practice (even power of )4 min4.1.6. Practice (w/ )3 min4.1.7. Practice ( & )1 min4.1.8. Practice (special case )3 min4.1.9. Practice (special case )5 min4.1.10. Reduction Formula2 min4.1.11. Practice5 min4.1.12. Practice3 min
5. Techniques of integration
2.4hr5.10.1. Integration by Parts2 min5.10.2. Integration by Parts5.10.3. Integration by Parts5.10.4. Integration by Parts5.10.5. Integration by Parts5.10.6. Trigonometric Integral3 min5.10.7. Trigonometric Integral5.10.8. Trigonometric Integral with IBP5 min5.10.9. Trigonometric Substitution5 min5.10.10. Trigonometric Substitution6 min5.10.11. Trigonometric Substitution8 min5.10.12. Partial Fraction Decomposition8 min5.10.13. Partial Fraction Decomposition24 min5.10.14. Partial Fraction Decomposition4 min5.10.15. The Trapezoid Rule5.10.16. The Trapezoid Rule2 min5.10.17. Simpson's Rule
6. l'Hospital's rule
1.7hr6.3.1. Related Rates6.3.2. Related Rates5 min6.3.3. Related Rates5 min6.3.4. Linear Approximation4 min6.3.5. Linear Approximation6.3.6. Taylor Series from Definition7 min6.3.7. Taylor Polynomials6.3.8. Maclaurin Polynomial6.3.9. Newton's Method2 min6.3.10. Newton's Method6.3.11. L'Hopital's Rule6.3.12. L'Hopital's Rule6.3.13. L'Hopital's Rule6.3.14. Limits6.3.15. L'Hopital's Rule6.3.16. L'Hopital's Rule6.3.17. Limits6.3.18. Limits6.3.19. Extreme Value Theorem6.3.20. Rolle's Theorem1 min6.3.21. Rolle's Theorem6 min6.3.22. MVT6.3.23. MVT2 min6.3.24. MVT3 min6.3.25. MVT6.3.26. Intervals of Increase and Decrease6.3.27. Intervals of Increase and Decrease3 min6.3.28. Critical Points6 min6.3.29. Critical Points1 min6.3.30. Extrema5 min6.3.31. Extrema6 min6.3.32. Second Derivative Test10 min6.3.33. Curve Sketching6.3.34. Curve Sketching12 min6.3.35. Curve Sketching6.3.36. Optimization6.3.37. Optimization6.3.38. Optimization
7. Improper integrals
40min8. Volumes of solids of revolution
59min10. Surface Area of Solids of Revolution
6min11. Average values and Mean Value Theorem for integrals
5min12. Applications in physical sciences
60min13. Probability distributions
15min14. Numerical integration
13min15. Differential equations: quantitative and qualitative methods
1.3hr16. Differential calculus in several variables, partial differential equations
36min17. Integral calculus in several variables
3minI Welcome
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