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 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. Complex Numbers
1.1hr8. Sequences and Series
2hr9. Power Series (Including Taylor & Maclaurin Series)
1.4hr10. Parametric & Polar Curves
1.8hr10.2.1. Tangents/Derivatives of Parametric Curves10.2.2. Practice (derivatives)10.2.3. Practice (horizontal/vertical tangents)10.2.4. Practice (horizontal/vertical tangents*)10.2.5. Arc Length, Area, and Surface Area10.2.6. Practice (arc length)10.2.7. Practice (area)10.2.8. Practice (surface area)10.2.9. Practice (surface area)
10.4.1. Tangents/Derivatives of Polar Curves10.4.2. Practice (derivative)10.4.3. Practice (horizontal/vertical tangents)10.4.4. Arc Length, Area Under & Between Curves10.4.5. Practice (arc length)10.4.6. Practice (area inside curve)10.4.7. Practice (area inside curve)10.4.8. Practice (area between curves)