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 Limits2.15.4. Limits2.15.5. Limits2.15.6. Limits2.15.7. Limits2.15.8. Limits2.15.9. Limits2.15.10. Limits: Indeterminate forms2.15.11. Limits2.15.12. IVT2.15.13. IVT2.15.14. IVT2.15.15. Fundamental Trig Limit2.15.16. Fundamental Trig Limit2.15.17. Squeeze Theorem2.15.18. Squeeze Theorem2.15.19. Squeeze Theorem2.15.20. Continuity
3. Derivatives
2.8hr3.20.1. Derivative by Definition3.20.2. Basic Derivatives3.20.3. Basic Derivatives3.20.4. Derivative by Definition3.20.5. Chain Rule3.20.6. Chain Rule3.20.7. Quotient Rule3.20.8. Quotient Rule3.20.9. Power of a Function Rule3.20.10. Implicit Differentiation3.20.11. Implicit Differentiation3.20.12. Second Derivative3.20.13. Logarithmic Differentiation3.20.14. Logarithmic Differentiation 3.20.15. Inverse Trigonometric Derivatives3.20.16. Tangent Lines3.20.17. Tangent Lines3.20.18. Horizontal Tangent Lines3.20.19. Product Rule3.20.20. Product Rule3.20.21. Product Rule3.20.22. Normal Line
4. Applications of Differentiation
4hr4.20.1. Related Rates4.20.2. Related Rates4.20.3. Related Rates4.20.4. Linear Approximation4.20.5. Linear Approximation4.20.6. Taylor Series from Definition4.20.7. Taylor Polynomials4.20.8. Maclaurin Polynomial4.20.9. Newton's Method4.20.10. 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 Theorem4.20.21. Rolle's Theorem4.20.22. MVT4.20.23. MVT4.20.24. MVT4.20.25. MVT4.20.26. Intervals of Increase and Decrease4.20.27. Intervals of Increase and Decrease4.20.28. Critical Points4.20.29. Critical Points4.20.30. Extrema4.20.31. Extrema4.20.32. Second Derivative Test4.20.33. Curve Sketching4.20.34. Curve Sketching4.20.35. 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 Trig6.15.4. Integration by Substitution6.15.5. Integration by Substitution6.15.6. Integration by Substitution6.15.7. Integration by Substitution6.15.8. Computing Integrals6.15.9. Finite Sums6.15.10. Finite Sums6.15.11. Finite Sums6.15.12. Riemann Sums6.15.13. Riemann Sums6.15.14. Riemann Sums6.15.15. Integral from Definition6.15.16. Integral from Definition6.15.17. Definite Integral6.15.18. Substitution with Definite Integral6.15.19. 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
25minME.1 Term Test 4 - Exam-like Practice Problem Set
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Term Test 4 - Exam-like Practice Problem Set
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