MATH 101
U of A
Course Overview
Lessons & Practice
I. Welcome
1. (Review): Derivatives & Integrals
1.4hr1.1.1. Derivative Rules7 min1.1.2. Example: Derivative Rules4 min1.1.3. Product, Quotient, and Chain Rule4 min1.1.4. Example: Product, Quotient, and Chain Rule8 min1.1.5. Practice: Finding a Derivative4 min1.1.6. Practice: Finding a Derivative4 min1.1.7. Practice: Higher Order Derivative6 min1.1.8. Practice: Product Rule*6 min1.1.9. Practice: Chain Rule*6 min
2. Differential Equations
1.3hr3. Applications of Integrals
1hr4. 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. Improper Integrals
40min6. Sequences and Series
2hr6.4.1. Series and Limit Comparison Tests5 min6.4.2. Practice (limit comparison test)2 min6.4.3. Practice (limit comparison test)3 min6.4.4. Practice (telescoping series*)6 min6.4.5. Practice (series comparison test)5 min6.4.6. Practice (series comparison test)2 min6.4.7. Practice (telescoping series*)3 min
7. Power Series
1.4hr7.2.1. Representing Functions as Power Series2 min7.2.2. Practice2 min7.2.3. Practice2 min7.2.4. Practice (w/ partial fractions)7 min7.2.5. Differentiation and Integration of Power Series3 min7.2.6. Practice (differentiating power series)4 min7.2.7. Practice (integrating power series)4 min7.2.8. Practice (integrating power series*)8 min
7.3.1. Taylor and Maclaurin Series6 min7.3.2. Practice (Taylor series)7 min7.3.3. Common Maclaurin Series (Memorize!)*5 min7.3.4. Practice (Maclaurin series)2 min7.3.5. Practice (Maclaurin series)3 min7.3.6. Practice (Maclaurin series of an integral)2 min7.3.7. Practice (evaluating a series*)3 min7.3.8. Binomial Series7.3.9. Binomial Series Example
8. 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. Vector Functions
55min9.1.1. 3D Cooridnate System4 min9.1.2. Vectors7 min9.1.3. Dot Product7 min9.1.4. Cross Product6 min9.1.5. Equations of Lines & Planes10 min9.1.6. Cylinder & Quadric Surface9.1.7. Example: Quadratic Surfaces (1)3 min9.1.8. Example: Quadratic Surfaces (2)2 min9.1.9. Cylindrical & Spherical Coordinates
