MATH 1010
Dal
Course Overview
Lessons & Practice
I. Welcome
1. Review: Derivatives
1.1hr1.2.1. 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. Review: Integration
1.5hr3. Applications of Integrals
37min4. Integration Techniques
2.4hr4.2.1. Trigonometric Integrals3 min4.2.2. Practice (odd power of )3 min4.2.3. Practice (odd power of )3 min4.2.4. Practice (even powers of & )2 min4.2.5. Practice (even power of )4 min4.2.6. Practice (w/ )3 min4.2.7. Practice ( & )1 min4.2.8. Practice (special case )3 min4.2.9. Practice (special case )5 min4.2.10. Reduction Formula2 min4.2.11. Practice5 min4.2.12. Practice3 min
5. Approximating Integrals
13min6. Improper Integrals
40min7. Arc Length of a Curve
13min8. Parametric & Polar Curves
1.8hr8.2.1. Tangents/Derivatives of Parametric Curves2 min8.2.2. Practice (derivatives)2 min8.2.3. Practice (horizontal/vertical tangents)5 min8.2.4. Practice (horizontal/vertical tangents*)6 min8.2.5. Arc Length, Area, and Surface Area2 min8.2.6. Practice (arc length)3 min8.2.7. Practice (area)3 min8.2.8. Practice (surface area)6 min8.2.9. Practice (surface area)5 min
8.4.1. Tangents/Derivatives of Polar Curves2 min8.4.2. Practice (derivative)4 min8.4.3. Practice (horizontal/vertical tangents)7 min8.4.4. Arc Length, Area Under & Between Curves2 min8.4.5. Practice (arc length)3 min8.4.6. Practice (area inside curve)2 min8.4.7. Practice (area inside curve)4 min8.4.8. Practice (area between curves)8 min
9. Sequences and Series
2hr9.4.1. Series and Limit Comparison Tests5 min9.4.2. Practice (limit comparison test)2 min9.4.3. Practice (limit comparison test)3 min9.4.4. Practice (telescoping series*)6 min9.4.5. Practice (series comparison test)5 min9.4.6. Practice (series comparison test)2 min9.4.7. Practice (telescoping series*)3 min
10. Power Series (Including Taylor and Maclaurin Series)
1.4hr10.2.1. Representing Functions as Power Series2 min10.2.2. Practice2 min10.2.3. Practice2 min10.2.4. Practice (w/ partial fractions)7 min10.2.5. Differentiation and Integration of Power Series3 min10.2.6. Practice (differentiating power series)4 min10.2.7. Practice (integrating power series)4 min10.2.8. Practice (integrating power series*)8 min
10.3.1. Taylor and Maclaurin Series6 min10.3.2. Practice (Taylor series)7 min10.3.3. Common Maclaurin Series (Memorize!)*5 min10.3.4. Practice (Maclaurin series)2 min10.3.5. Practice (Maclaurin series)3 min10.3.6. Practice (Maclaurin series of an integral)2 min10.3.7. Practice (evaluating a series*)3 min
I Welcome
Free Activity
Welcome to Calculus 2!
My name is Corey and I'm the instructor for this course. Feel free to go through the material at your own pace.
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