Welcome to MATH 20A! This on-demand course was put together especially for MATH 20A 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 20A
UCSD
Course Overview
Lessons & Practice
I. Welcome
1. Limits
1.8hr1.14.1. One-sided Limits1.14.2. Limits1.14.3. Special Limits1.14.4. Limits1.14.5. Limits1.14.6. Limits1.14.7. Limits1.14.8. Limits1.14.9. Limits1.14.10. Limits: Indeterminate forms1.14.11. Limits1.14.12. IVT1.14.13. IVT1.14.14. IVT1.14.15. Fundamental Trig Limit1.14.16. Fundamental Trig Limit1.14.17. Squeeze Theorem1.14.18. Squeeze Theorem1.14.19. Squeeze Theorem1.14.20. Continuity
2. Derivatives
2.2hr2.13.1. Derivative by Definition2.13.2. Basic Derivatives2.13.3. Basic Derivatives2.13.4. Derivative by Definition2.13.5. Chain Rule2.13.6. Chain Rule2.13.7. Quotient Rule2.13.8. Quotient Rule2.13.9. Power of a Function Rule2.13.10. Implicit Differentiation2.13.11. Implicit Differentiation2.13.12. Second Derivative2.13.13. Logarithmic Differentiation2.13.14. Logarithmic Differentiation 2.13.15. Inverse Trigonometric Derivatives2.13.16. Tangent Lines2.13.17. Tangent Lines2.13.18. Horizontal Tangent Lines2.13.19. Product Rule2.13.20. Product Rule2.13.21. Product Rule2.13.22. Normal Line
3. Applications of Differentiation
4hr3.14.1. Related Rates3.14.2. Related Rates3.14.3. Related Rates3.14.4. Linear Approximation3.14.5. Linear Approximation3.14.6. Taylor Series from Definition3.14.7. Taylor Polynomials3.14.8. Maclaurin Polynomial3.14.9. Newton's Method3.14.10. Newton's Method3.14.11. L'Hopital's Rule3.14.12. L'Hopital's Rule3.14.13. L'Hopital's Rule3.14.14. Limits3.14.15. L'Hopital's Rule3.14.16. L'Hopital's Rule3.14.17. Limits3.14.18. Limits3.14.19. Extreme Value Theorem3.14.20. Rolle's Theorem3.14.21. Rolle's Theorem3.14.22. MVT3.14.23. MVT3.14.24. MVT3.14.25. MVT3.14.26. Intervals of Increase and Decrease3.14.27. Intervals of Increase and Decrease3.14.28. Critical Points3.14.29. Critical Points3.14.30. Extrema3.14.31. Extrema3.14.32. Second Derivative Test3.14.33. Curve Sketching3.14.34. Curve Sketching3.14.35. Curve Sketching3.14.36. Optimization3.14.37. Optimization3.14.38. Optimization
4. Integrals
2.2hr4.12.1. Antiderivatives: Indefinite Integrals4.12.2. Indefinite Integral with Trig and Inverse Trig4.12.3. Definite Integral with Trig4.12.4. Integration by Substitution4.12.5. Integration by Substitution4.12.6. Integration by Substitution4.12.7. Integration by Substitution4.12.8. Computing Integrals4.12.9. Finite Sums4.12.10. Finite Sums4.12.11. Finite Sums4.12.12. Riemann Sums4.12.13. Riemann Sums4.12.14. Riemann Sums4.12.15. Integral from Definition4.12.16. Integral from Definition4.12.17. Definite Integral4.12.18. Substitution with Definite Integral4.12.19. Integration4.12.20. Definite Integral4.12.21. FTC I4.12.22. FTC I4.12.23. FTC I
5. Differential Equations
1.2hrMATH 20A 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.