MATH 1210
University of Guelph
Course Overview
Lessons & Practice
I. Welcome
1. (Review): Integration
1.5hr2. Complex Numbers
46min3. Inverse Functions & Derivatives
58min4. Hyperbolic, Inverse Hyperbolic Functions, and Derivatives
4min5. L'Hopital's Rule
21min6. Integration Techniques (including partial fractions)
2.4hr6.2.1. Trigonometric Integrals3 min6.2.2. Practice (odd power of )3 min6.2.3. Practice (odd power of )3 min6.2.4. Practice (even powers of & )2 min6.2.5. Practice (even power of )4 min6.2.6. Practice (w/ )3 min6.2.7. Practice ( & )1 min6.2.8. Practice (special case )3 min6.2.9. Practice (special case )5 min6.2.10. Reduction Formula2 min6.2.11. Practice5 min6.2.12. Practice3 min
7. Volumes of Revolution
12min8. Improper Integrals
26min9. Arc Length & Parametric Curves
60min9.3.1. Tangents/Derivatives of Parametric Curves2 min9.3.2. Practice (derivatives)2 min9.3.3. Practice (horizontal/vertical tangents)5 min9.3.4. Practice (horizontal/vertical tangents*)6 min9.3.5. Arc Length, Area, and Surface Area2 min9.3.6. Practice (arc length)3 min9.3.7. Practice (area)3 min9.3.8. Practice (surface area)6 min9.3.9. Practice (surface area)5 min
10. Polar Coordinates
58min10.2.1. Tangents/Derivatives of Polar Curves2 min10.2.2. Practice (derivative)4 min10.2.3. Practice (horizontal/vertical tangents)7 min10.2.4. Arc Length, Area Under & Between Curves2 min10.2.5. Practice (arc length)3 min10.2.6. Practice (area inside curve)2 min10.2.7. Practice (area inside curve)4 min10.2.8. Practice (area between curves)8 min
11. Taylor & Maclaurin Series
1.4hr11.2.1. Representing Functions as Power Series2 min11.2.2. Practice2 min11.2.3. Practice2 min11.2.4. Practice (w/ partial fractions)7 min11.2.5. Differentiation and Integration of Power Series3 min11.2.6. Practice (differentiating power series)4 min11.2.7. Practice (integrating power series)4 min11.2.8. Practice (integrating power series*)8 min
11.3.1. Taylor and Maclaurin Series6 min11.3.2. Practice (Taylor series)7 min11.3.3. Common Maclaurin Series (Memorize!)*5 min11.3.4. Practice (Maclaurin series)2 min11.3.5. Practice (Maclaurin series)3 min11.3.6. Practice (Maclaurin series of an integral)2 min11.3.7. Practice (evaluating a series*)3 min
12. Multivariable Functions
36minI Welcome
Free Activity
Welcome to Calculus II!
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