MATH 118
UWaterloo
Course Overview
Lessons & Practice
I. Welcome
1. Review: 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. Integration Techniques
4hr2.3.1. Trigonometric Integrals3 min2.3.2. Practice (odd power of )3 min2.3.3. Practice (odd power of )3 min2.3.4. Practice (even powers of & )2 min2.3.5. Practice (even power of )4 min2.3.6. Practice (w/ )3 min2.3.7. Practice ( & )1 min2.3.8. Practice (special case )3 min2.3.9. Practice (special case )5 min2.3.10. Reduction Formula2 min2.3.11. Practice5 min2.3.12. Practice3 min
3. Differential Equations
1.3hr4. Sequences and Series
2hr4.4.1. Series and Limit Comparison Tests5 min4.4.2. Practice (limit comparison test)2 min4.4.3. Practice (limit comparison test)3 min4.4.4. Practice (telescoping series*)6 min4.4.5. Practice (series comparison test)5 min4.4.6. Practice (series comparison test)2 min4.4.7. Practice (telescoping series*)3 min
5. Power Series
1.1hr5.3.1. Representing Functions as Power Series2 min5.3.2. Practice2 min5.3.3. Practice2 min5.3.4. Practice (w/ partial fractions)7 min5.3.5. Differentiation and Integration of Power Series3 min5.3.6. Practice (differentiating power series)4 min5.3.7. Practice (integrating power series)4 min5.3.8. Practice (integrating power series*)8 min
6. Parametric & Polar Curves
1.8hr6.2.1. Tangents/Derivatives of Parametric Curves2 min6.2.2. Practice (derivatives)2 min6.2.3. Practice (horizontal/vertical tangents)5 min6.2.4. Practice (horizontal/vertical tangents*)6 min6.2.5. Arc Length, Area, and Surface Area2 min6.2.6. Practice (arc length)3 min6.2.7. Practice (area)3 min6.2.8. Practice (surface area)6 min6.2.9. Practice (surface area)5 min
6.4.1. Tangents/Derivatives of Polar Curves2 min6.4.2. Practice (derivative)4 min6.4.3. Practice (horizontal/vertical tangents)7 min6.4.4. Arc Length, Area Under & Between Curves2 min6.4.5. Practice (arc length)3 min6.4.6. Practice (area inside curve)2 min6.4.7. Practice (area inside curve)4 min6.4.8. Practice (area between curves)8 min
