Welcome to MATH 20B! This on-demand course was put together especially for MATH 20B at UCSD. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
MATH 20B
UCSD
Course Overview
Lessons & Practice
I. Welcome
1. Integration
1.3hr1.5.1. Integration by Substitution1.5.2. Example: Indefinite with Trig1.5.3. Example: Indefinite with Polynomials1.5.4. Practice: Definite with Exponential1.5.5. Example: Indefinite with Roots1.5.6. Practice: Definite with Roots1.5.7. Practice: Indefinite with Power1.5.8. Example: Indefinite with Fraction1.5.9. Practice: Indefinite with Exponentials1.5.10. Practice: Indefinite with Trig
2. Applications of Integrals
37min3. Techniques of Integration
18min4. Parametric & Polar Curves
58min5. Complex Numbers
1.4hr6. Techniques of Integration Cont.
3hr6.1.1. Trigonometric Integrals6.1.2. Practice (odd power of )6.1.3. Practice (odd power of )6.1.4. Practice (even powers of & )6.1.5. Practice (even power of )6.1.6. Practice (w/ )6.1.7. Practice ( & )6.1.8. Practice (special case )6.1.9. Practice (special case )6.1.10. Reduction Formula6.1.11. Practice6.1.12. Practice
6.4.1. Partial Fraction Breakdown6.4.2. Partial Fraction Breakdown6.4.3. Partial Fraction Breakdown6.4.4. Partial Fraction Breakdown6.4.5. Partial Fraction Breakdown6.4.6. Partial Fraction Breakdown6.4.7. Partial Fraction Breakdown6.4.8. Partial Fraction Breakdown6.4.9. Partial Fraction Breakdown (Using Complex Numbers)6.4.10. Partial Fraction Breakdown6.4.11. Partial Fraction Breakdown6.4.12. Partial Fraction Breakdown6.4.13. Partial Fraction6.4.14. Partial Fraction6.4.15. Partial Fractions: Solving for Coefficients
7. Improper Integrals
40min8. Sequences and Series
2hr9. Power Series
1.4hr10. Applications of Integration
59min10.1.1. Displacement, Velocity, and Acceleration10.1.2. Position, Velocity and Acceleration 10.1.3. Position, Velocity and Acceleration 10.1.4. Average Value of a Function10.1.5. Average Value of a Function10.1.6. Average Function Value of a Function10.1.7. Area Between Curves10.1.8. Area Between Curves10.1.9. Area Between Curves10.1.10. Area Between Curves10.1.11. Volumes of Revolution, Cylindrical Shells10.1.12. Volumes of Revolution, Disc/Washer10.1.13. Volumes of Revolution, Cylindrical Shells10.1.14. Volumes of Revolution10.1.15. Arc Length10.1.16. Arc Length10.1.17. Arc Length with Partial Fractions10.1.18. Arc Length with Perfect Square10.1.19. Surface Area10.1.20. Surface Area
11. Differential Equations
1.2hrMATH 20B Overview
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Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.