MATH 267
U of C
Course Overview
Grade Boosters
Lessons & Practice
I. Welcome
1. (Review): Derivatives & Integrals
60min1.1.1. 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. Integration Techniques
2.7hr2.3.1. Trigonometric Integrals3 min2.3.2. Practice (odd power of )3 min2.3.3. Practice (odd power of )3 min2.3.4. Practice (even powers of & )2 min2.3.5. Practice (even power of )4 min2.3.6. Practice (w/ )3 min2.3.7. Practice ( & )1 min2.3.8. Practice (special case )3 min2.3.9. Practice (special case )5 min2.3.10. Reduction Formula2 min2.3.11. Practice5 min2.3.12. Practice3 min
3. Applications of Integrals
53min4. Sequences and Series
2hr4.4.1. Series and Limit Comparison Tests5 min4.4.2. Practice (limit comparison test)2 min4.4.3. Practice (limit comparison test)3 min4.4.4. Practice (telescoping series*)6 min4.4.5. Practice (series comparison test)5 min4.4.6. Practice (series comparison test)2 min4.4.7. Practice (telescoping series*)3 min
5. Power Series
1.4hr5.2.1. Representing Functions as Power Series2 min5.2.2. Practice2 min5.2.3. Practice2 min5.2.4. Practice (w/ partial fractions)7 min5.2.5. Differentiation and Integration of Power Series3 min5.2.6. Practice (differentiating power series)4 min5.2.7. Practice (integrating power series)4 min5.2.8. Practice (integrating power series*)8 min
6. Multivariable Functions
36min7. Polar Coordinates & Curves
58min7.2.1. A note about this section7.2.2. Tangents/Derivatives of Polar Curves2 min7.2.3. Practice (derivative)4 min7.2.4. Practice (horizontal/vertical tangents)7 min7.2.5. Arc Length, Area Under & Between Curves2 min7.2.6. Practice (arc length)3 min7.2.7. Practice (area inside curve)2 min7.2.8. Practice (area inside curve)4 min7.2.9. Practice (area between curves)8 min
8. Multiple Integrals
3minME.1 Term Exam 1 - Mock Assessment
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