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MATH 121B
Queen's
Course Overview
Lessons & Practice
1. Pre-Calculus (Review)
24min2. Limits
1.9hr2.15.1. One-sided Limits2.15.2. Limits2.15.3. Special Limits4 min2.15.4. Limits2.15.5. Limits2.15.6. Limits2.15.7. Limits2.15.8. Limits2.15.9. Limits2.15.10. Limits: Indeterminate forms2.15.11. Limits3 min2.15.12. IVT2.15.13. IVT2.15.14. IVT5 min2.15.15. Fundamental Trig Limit5 min2.15.16. Fundamental Trig Limit3 min2.15.17. Squeeze Theorem1 min2.15.18. Squeeze Theorem4 min2.15.19. Squeeze Theorem2.15.20. Continuity
3. Derivatives
2.8hr3.20.1. Derivative by Definition3.20.2. Basic Derivatives3.20.3. Basic Derivatives1 min3.20.4. Derivative by Definition3.20.5. Chain Rule3.20.6. Chain Rule3.20.7. Quotient Rule10 min3.20.8. Quotient Rule2 min3.20.9. Power of a Function Rule2 min3.20.10. Implicit Differentiation3.20.11. Implicit Differentiation3.20.12. Second Derivative6 min3.20.13. Logarithmic Differentiation4 min3.20.14. Logarithmic Differentiation 3.20.15. Inverse Trigonometric Derivatives3.20.16. Tangent Lines3.20.17. Tangent Lines3.20.18. Horizontal Tangent Lines2 min3.20.19. Product Rule6 min3.20.20. Product Rule4 min3.20.21. Product Rule4 min3.20.22. Normal Line5 min
4. Applications of Differentiation
4hr4.20.1. Related Rates4.20.2. Related Rates5 min4.20.3. Related Rates5 min4.20.4. Linear Approximation4 min4.20.5. Linear Approximation4.20.6. Taylor Series from Definition7 min4.20.7. Taylor Polynomials4.20.8. Maclaurin Polynomial4.20.9. Newton's Method2 min4.20.10. Newton's Method4.20.11. L'Hopital's Rule4.20.12. L'Hopital's Rule4.20.13. L'Hopital's Rule4.20.14. Limits4.20.15. L'Hopital's Rule4.20.16. L'Hopital's Rule4.20.17. Limits4.20.18. Limits4.20.19. Extreme Value Theorem4.20.20. Rolle's Theorem1 min4.20.21. Rolle's Theorem6 min4.20.22. MVT4.20.23. MVT2 min4.20.24. MVT3 min4.20.25. MVT4.20.26. Intervals of Increase and Decrease4.20.27. Intervals of Increase and Decrease3 min4.20.28. Critical Points6 min4.20.29. Critical Points1 min4.20.30. Extrema5 min4.20.31. Extrema6 min4.20.32. Second Derivative Test10 min4.20.33. Curve Sketching4.20.34. Curve Sketching12 min4.20.35. Curve Sketching4.20.36. Optimization4.20.37. Optimization4.20.38. Optimization
5. Applications of Differentiation for Business & Econ
42min6. Integrals
2.7hr6.15.1. Antiderivatives: Indefinite Integrals6.15.2. Indefinite Integral with Trig and Inverse Trig6.15.3. Definite Integral with Trig1 min6.15.4. Integration by Substitution6.15.5. Integration by Substitution2 min6.15.6. Integration by Substitution3 min6.15.7. Integration by Substitution3 min6.15.8. Computing Integrals3 min6.15.9. Finite Sums3 min6.15.10. Finite Sums6.15.11. Finite Sums6.15.12. Riemann Sums6.15.13. Riemann Sums6.15.14. Riemann Sums6.15.15. Integral from Definition3 min6.15.16. Integral from Definition6.15.17. Definite Integral2 min6.15.18. Substitution with Definite Integral3 min6.15.19. Integration6.15.20. Definite Integral6.15.21. FTC I6.15.22. FTC I6.15.23. FTC I
7. Unit 13: Integration to find Areas and Volumes, Volumes of Revolutions
1.1hr8. Unit 14: Center of Mass, Improper Integrals
1.2hr9. Unit 15 & 16: Differential Equations
2hr10. Unit 17 & 18: Functions of 2 Variables, Level Curves, and Partial Derivatives
40min11. Unit 19 & 20: Vectors in RS & R3, Directional Derivatives and Gradients
1.6hr12. Unit 21: The Chain Rule, Higher Partial Derivatives, and Optimization
1.1hr13. Unit 22 & 23: Unconstrained Optimization, Lagrange Multipliers
25minMATH 121B Overview
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Welcome to MATH 121B! This on-demand course was put together especially for MATH 121B at Queen's. 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!
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