NMM 1414
UWO
Course Overview
Lessons & Practice
I. Welcome
1. Review of Derivatives
1.3hr1.2.1. Derivative Rules7 min1.2.2. Example: Derivative Rules4 min1.2.3. Product, Quotient, and Chain Rule4 min1.2.4. Example: Product, Quotient, and Chain Rule8 min1.2.5. Practice: Finding a Derivative4 min1.2.6. Practice: Finding a Derivative4 min1.2.7. Practice: Higher Order Derivative6 min1.2.8. Practice: Product Rule*6 min1.2.9. Practice: Chain Rule*6 min
2. Review of Integration
1.5hr3. Techniques of Integration
3hr3.3.1. Trigonometric Integrals3 min3.3.2. Practice (odd power of )3 min3.3.3. Practice (odd power of )3 min3.3.4. Practice (even powers of & )2 min3.3.5. Practice (even power of )4 min3.3.6. Practice (w/ )3 min3.3.7. Practice ( & )1 min3.3.8. Practice (special case )3 min3.3.9. Practice (special case )5 min3.3.10. Reduction Formula2 min3.3.11. Practice5 min3.3.12. Practice3 min
4. Applications of Integration
2.2hr5. Parametric Curves and Polar Curves
1.8hr5.2.1. Tangents/Derivatives of Parametric Curves2 min5.2.2. Practice (derivatives)2 min5.2.3. Practice (horizontal/vertical tangents)5 min5.2.4. Practice (horizontal/vertical tangents*)6 min5.2.5. Arc Length, Area, and Surface Area2 min5.2.6. Practice (arc length)3 min5.2.7. Practice (area)3 min5.2.8. Practice (surface area)6 min5.2.9. Practice (surface area)5 min
5.4.1. Tangents/Derivatives of Polar Curves2 min5.4.2. Practice (derivative)4 min5.4.3. Practice (horizontal/vertical tangents)7 min5.4.4. Arc Length, Area Under & Between Curves2 min5.4.5. Practice (arc length)3 min5.4.6. Practice (area inside curve)2 min5.4.7. Practice (area inside curve)4 min5.4.8. Practice (area between curves)8 min
6. Sequences, Series, and Power Series
3hr6.2.1. Integral Test1 min6.2.2. Practice: Integral Test6 min6.2.3. Practice: Integral Test5 min6.2.4. Series and Limit Comparison Tests5 min6.2.5. Practice (limit comparison test)2 min6.2.6. Practice (limit comparison test)3 min6.2.7. Practice (telescoping series*)6 min6.2.8. Practice (series comparison test)5 min6.2.9. Practice (series comparison test)2 min6.2.10. Practice (telescoping series*)3 min6.2.11. Ratio Test2 min6.2.12. Practice (Ratio Test)5 min6.2.13. Practice (Ratio Test)2 min6.2.14. Practice (recursive series*)4 min6.2.15. Root Test1 min6.2.16. Practice (Root Test)3 min6.2.17. Practice (Root Test)4 min6.2.18. How to Pick Which Convergence Test to Use?6 min
6.4.1. Definitions of Power Series9 min6.4.2. Practice (radius of convergence)2 min6.4.3. Practice (radius & interval of convergence)7 min6.4.4. Practice: Radius & Interval of Convergence4 min6.4.5. Representing Functions as Power Series2 min6.4.6. Practice2 min6.4.7. Practice2 min6.4.8. Practice (w/ partial fractions)7 min6.4.9. Differentiation and Integration of Power Series3 min6.4.10. Practice (differentiating power series)4 min6.4.11. Practice (integrating power series)4 min6.4.12. Practice (integrating power series*)8 min
7. Vectors and Coordinate Geometry in 3-Space
34min8. Functions of Several Variables
8min9. Applications of Partial Derivatives
29minI Welcome
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