COURSE INFORMATION
LESSONS
Vectors and Applications of Integration
- 1. Vectors in the Plane and in 3D
- 2. Geometry in the Plane and in 3D; Lines and Planes in Space
- 3. Dot Products
- 4. Cross Products and Applications
- 5. Area of the Region Between Curves
- 6. Volumes by Slicing; Washer Method
- 7. Volumes by Shells; Shell Method
- 8. Lengths of Curves and Surface Area
- 9. Physical Applications
Techniques of Integration
- 10. Integration by Parts
- 11. Trigonometric Integrals, Part 1
- 12. Trigonometric Integrals, Part 2
- 13. Trigonometric Substitutions, Part 1
- 14. Trigonometric Substitutions, Part 2
- 15. Summary of Trigonometric Integrals and Substitutions
- 16. Partial Fractions, Part 1
- 17. Partial Fractions, Part 2
- 18. Improper Integrals
Sequences and Series
Power Series and Taylor Series
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