MATH 119
UWaterloo
Course Overview
Lessons & Practice
1. Review: Derivatives
1.3hr1.2.1. Derivative Rules1.2.2. Example: Derivative Rules1.2.3. Product, Quotient, and Chain Rule1.2.4. Example: Product, Quotient, and Chain Rule1.2.5. Practice: Finding a Derivative1.2.6. Practice: Finding a Derivative1.2.7. Practice: Higher Order Derivative1.2.8. Practice: Product Rule*1.2.9. Practice: Chain Rule*
2. Multivariable Functions
1.1hr3. Parametric & Polar Curves
1.8hr3.2.1. Tangents/Derivatives of Parametric Curves3.2.2. Practice (derivatives)3.2.3. Practice (horizontal/vertical tangents)3.2.4. Practice (horizontal/vertical tangents*)3.2.5. Arc Length, Area, and Surface Area3.2.6. Practice (arc length)3.2.7. Practice (area)3.2.8. Practice (surface area)3.2.9. Practice (surface area)
4. Integration
1.5hr5. Integration Techniques
2.6hr5.2.1. Trigonometric Integrals5.2.2. Practice (odd power of )5.2.3. Practice (odd power of )5.2.4. Practice (even powers of & )5.2.5. Practice (even power of )5.2.6. Practice (w/ )5.2.7. Practice ( & )5.2.8. Practice (special case )5.2.9. Practice (special case )5.2.10. Reduction Formula5.2.11. Practice5.2.12. Practice
6. Improper Integrals
40min7. Applications of Integrals
1.6hr8. Integral calculus in several variables
3min9. Sequences and Series
2hr10. Power Series
1.4hr10.2.1. Representing Functions as Power Series10.2.2. Practice10.2.3. Practice10.2.4. Practice (w/ partial fractions)10.2.5. Differentiation and Integration of Power Series10.2.6. Practice (differentiating power series)10.2.7. Practice (integrating power series)10.2.8. Practice (integrating power series*)
