MATH 1XX3
Mac
Course Overview
Lessons & Practice
1. Review of Integration
3hr2. Chapter 7: Techniques of Integration
1.5hr3. Chapter 8: Further Applications of Integration
48min4. Chapter 9: Differential Equations
2hr5. Chapter 10: Parametric Equations & Polar Coordanites
2.5hr5.2.1. Tangents/Derivatives of Parametric Curves5.2.2. Example: Tangents5.2.3. Practice (derivatives)5.2.4. Practice (horizontal/vertical tangents)5.2.5. Practice (horizontal/vertical tangents*)5.2.6. Arc Length, Area, and Surface Area5.2.7. Example: Surface Area--Parametric Curve5.2.8. Example: Arc Length5.2.9. Practice (arc length)5.2.10. Practice (area)5.2.11. Practice (surface area)5.2.12. Practice (surface area)
5.4.1. Tangents/Derivatives of Polar Curves5.4.2. Example: Tangents5.4.3. Practice (derivative)5.4.4. Practice (horizontal/vertical tangents)5.4.5. Arc Length, Area Under & Between Curves5.4.6. Example: Area Under Polar Curve5.4.7. Example: Arc Length5.4.8. Practice (arc length)5.4.9. Practice (area inside curve)5.4.10. Practice (area inside curve)5.4.11. Practice (area between curves)
6. Chapter 11: Sequences, Series, & Power Series
5hr6.4.1. Series and Limit Comparison Tests6.4.2. Example: Limit Comparison Test6.4.3. Example: Limit Comparison Test6.4.4. Practice (limit comparison test)6.4.5. Practice (limit comparison test)6.4.6. Practice (telescoping series*)6.4.7. Practice (series comparison test)6.4.8. Practice (series comparison test)6.4.9. Practice (telescoping series*)
6.10.1. Representing Functions as Power Series6.10.2. Example: Power Series Representation6.10.3. Practice6.10.4. Practice6.10.5. Practice (w/ partial fractions)6.10.6. Differentiation and Integration of Power Series6.10.7. Example: Differentiating a Power Series6.10.8. Example: Integrating a Power Series6.10.9. Practice (differentiating power series)6.10.10. Practice (integrating power series)6.10.11. Practice (integrating power series*)
6.11.1. Taylor and Maclaurin Series6.11.2. Example: Taylor Series6.11.3. Practice (Taylor series)6.11.4. Common Maclaurin Series (Memorize!)*6.11.5. Example: Maclaurin Series6.11.6. Practice (Maclaurin series)6.11.7. Practice (Maclaurin series)6.11.8. Practice (Maclaurin series of an integral)6.11.9. Practice (evaluating a series*)
