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 Substitution4 min1.5.2. Example: Indefinite with Trig2 min1.5.3. Example: Indefinite with Polynomials2 min1.5.4. Practice: Definite with Exponential3 min1.5.5. Example: Indefinite with Roots2 min1.5.6. Practice: Definite with Roots5 min1.5.7. Practice: Indefinite with Power3 min1.5.8. Example: Indefinite with Fraction3 min1.5.9. Practice: Indefinite with Exponentials2 min1.5.10. Practice: Indefinite with Trig3 min
2. Applications of Integrals
37min3. Techniques of Integration
18min4. Parametric & Polar Curves
58min4.2.1. Tangents/Derivatives of Polar Curves2 min4.2.2. Practice (derivative)4 min4.2.3. Practice (horizontal/vertical tangents)7 min4.2.4. Arc Length, Area Under & Between Curves2 min4.2.5. Practice (arc length)3 min4.2.6. Practice (area inside curve)2 min4.2.7. Practice (area inside curve)4 min4.2.8. Practice (area between curves)8 min
5. Complex Numbers
1.4hr6. Techniques of Integration Cont.
3hr6.1.1. Trigonometric Integrals3 min6.1.2. Practice (odd power of )3 min6.1.3. Practice (odd power of )3 min6.1.4. Practice (even powers of & )2 min6.1.5. Practice (even power of )4 min6.1.6. Practice (w/ )3 min6.1.7. Practice ( & )1 min6.1.8. Practice (special case )3 min6.1.9. Practice (special case )5 min6.1.10. Reduction Formula2 min6.1.11. Practice5 min6.1.12. Practice3 min
6.4.1. Partial Fraction Breakdown11 min6.4.2. Partial Fraction Breakdown45 sec6.4.3. Partial Fraction Breakdown7 min6.4.4. Partial Fraction Breakdown25 sec6.4.5. Partial Fraction Breakdown2 min6.4.6. Partial Fraction Breakdown2 min6.4.7. Partial Fraction Breakdown6 min6.4.8. Partial Fraction Breakdown2 min6.4.9. Partial Fraction Breakdown (Using Complex Numbers)22 min6.4.10. Partial Fraction Breakdown5 min6.4.11. Partial Fraction Breakdown3 min6.4.12. Partial Fraction Breakdown3 min6.4.13. Partial Fraction24 min6.4.14. Partial Fraction8 min6.4.15. Partial Fractions: Solving for Coefficients
7. Improper Integrals
40min8. Sequences and Series
2hr8.4.1. Series and Limit Comparison Tests5 min8.4.2. Practice (limit comparison test)2 min8.4.3. Practice (limit comparison test)3 min8.4.4. Practice (telescoping series*)6 min8.4.5. Practice (series comparison test)5 min8.4.6. Practice (series comparison test)2 min8.4.7. Practice (telescoping series*)3 min
9. Power Series
1.4hr9.2.1. Representing Functions as Power Series2 min9.2.2. Practice2 min9.2.3. Practice2 min9.2.4. Practice (w/ partial fractions)7 min9.2.5. Differentiation and Integration of Power Series3 min9.2.6. Practice (differentiating power series)4 min9.2.7. Practice (integrating power series)4 min9.2.8. Practice (integrating power series*)8 min
10. Applications of Integration
59min10.1.1. Displacement, Velocity, and Acceleration3 min10.1.2. Position, Velocity and Acceleration 2 min10.1.3. Position, Velocity and Acceleration 3 min10.1.4. Average Value of a Function2 min10.1.5. Average Value of a Function10.1.6. Average Function Value of a Function1 min10.1.7. Area Between Curves10.1.8. Area Between Curves4 min10.1.9. Area Between Curves10.1.10. Area Between Curves10.1.11. Volumes of Revolution, Cylindrical Shells10.1.12. Volumes of Revolution, Disc/Washer4 min10.1.13. Volumes of Revolution, Cylindrical Shells10.1.14. Volumes of Revolution9 min10.1.15. Arc Length4 min10.1.16. Arc Length4 min10.1.17. Arc Length with Partial Fractions7 min10.1.18. Arc Length with Perfect Square4 min10.1.19. Surface Area6 min10.1.20. Surface Area5 min
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.