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 Integrals4.1.2. Practice (odd power of )4.1.3. Practice (odd power of )4.1.4. Practice (even powers of & )4.1.5. Practice (even power of )4.1.6. Practice (w/ )4.1.7. Practice ( & )4.1.8. Practice (special case )4.1.9. Practice (special case )4.1.10. Reduction Formula4.1.11. Practice4.1.12. Practice
5. Techniques of integration
2.4hr5.10.1. Integration by Parts5.10.2. Integration by Parts5.10.3. Integration by Parts5.10.4. Integration by Parts5.10.5. Integration by Parts5.10.6. Trigonometric Integral5.10.7. Trigonometric Integral5.10.8. Trigonometric Integral with IBP5.10.9. Trigonometric Substitution5.10.10. Trigonometric Substitution5.10.11. Trigonometric Substitution5.10.12. Partial Fraction Decomposition5.10.13. Partial Fraction Decomposition5.10.14. Partial Fraction Decomposition5.10.15. The Trapezoid Rule5.10.16. The Trapezoid Rule5.10.17. Simpson's Rule
6. l'Hospital's rule
1.7hr6.3.1. Related Rates6.3.2. Related Rates6.3.3. Related Rates6.3.4. Linear Approximation6.3.5. Linear Approximation6.3.6. Taylor Series from Definition6.3.7. Taylor Polynomials6.3.8. Maclaurin Polynomial6.3.9. Newton's Method6.3.10. 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 Theorem6.3.21. Rolle's Theorem6.3.22. MVT6.3.23. MVT6.3.24. MVT6.3.25. MVT6.3.26. Intervals of Increase and Decrease6.3.27. Intervals of Increase and Decrease6.3.28. Critical Points6.3.29. Critical Points6.3.30. Extrema6.3.31. Extrema6.3.32. Second Derivative Test6.3.33. Curve Sketching6.3.34. Curve Sketching6.3.35. Curve Sketching6.3.36. Optimization6.3.37. Optimization6.3.38. Optimization
7. Improper integrals
40min8. Volumes of solids of revolution
59min9. Arc Length
13min10. 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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