MATH 101
UVIC
Course Overview
Lessons & Practice
I. Welcome
1. Review: Derivatives
51min2. Integration
57min3. Applications of Integrals
41min4. Exponential Change and Separable Differential Equations
36min5. Integration Techniques
2.4hr5.2.1. Trigonometric Integrals3 min5.2.2. Practice (odd power of )3 min5.2.3. Practice (odd power of )3 min5.2.4. Practice (even powers of & )2 min5.2.5. Practice (even power of )4 min5.2.6. Practice (w/ )3 min5.2.7. Practice ( & )1 min5.2.8. Practice (special case )3 min5.2.9. Practice (special case )5 min5.2.10. Reduction Formula2 min5.2.11. Practice5 min5.2.12. Practice3 min
6. Improper Integrals
40min7. Complex Numbers
1.1hr8. Sequences and Series
2hr8.4.1. Series and Limit Comparison Tests5 min8.4.2. Practice (limit comparison test)2 min8.4.3. Practice (limit comparison test)3 min8.4.4. Practice (telescoping series*)6 min8.4.5. Practice (series comparison test)5 min8.4.6. Practice (series comparison test)2 min8.4.7. Practice (telescoping series*)3 min
9. Power Series (Including Taylor & Maclaurin Series)
1.4hr9.2.1. Representing Functions as Power Series2 min9.2.2. Practice2 min9.2.3. Practice2 min9.2.4. Practice (w/ partial fractions)7 min9.2.5. Differentiation and Integration of Power Series3 min9.2.6. Practice (differentiating power series)4 min9.2.7. Practice (integrating power series)4 min9.2.8. Practice (integrating power series*)8 min
10. Parametric & Polar Curves
1.8hr10.2.1. Tangents/Derivatives of Parametric Curves2 min10.2.2. Practice (derivatives)2 min10.2.3. Practice (horizontal/vertical tangents)5 min10.2.4. Practice (horizontal/vertical tangents*)6 min10.2.5. Arc Length, Area, and Surface Area2 min10.2.6. Practice (arc length)3 min10.2.7. Practice (area)3 min10.2.8. Practice (surface area)6 min10.2.9. Practice (surface area)5 min
10.4.1. Tangents/Derivatives of Polar Curves2 min10.4.2. Practice (derivative)4 min10.4.3. Practice (horizontal/vertical tangents)7 min10.4.4. Arc Length, Area Under & Between Curves2 min10.4.5. Practice (arc length)3 min10.4.6. Practice (area inside curve)2 min10.4.7. Practice (area inside curve)4 min10.4.8. Practice (area between curves)8 min
