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MATH 137
UWaterloo
Course Overview
Lessons & Practice
I. Welcome
1. Sequences and Convergence
20min2. Limits and Continuity
1.9hr2.16.1. One-sided Limits2.16.2. Limits2.16.3. Special Limits4 min2.16.4. Limits2.16.5. Limits2.16.6. Limits2.16.7. Limits2.16.8. Limits2.16.9. Limits2.16.10. Limits: Indeterminate forms2.16.11. Limits3 min2.16.12. IVT2.16.13. IVT2.16.14. IVT5 min2.16.15. Fundamental Trig Limit5 min2.16.16. Fundamental Trig Limit3 min2.16.17. Squeeze Theorem1 min2.16.18. Squeeze Theorem4 min2.16.19. Squeeze Theorem2.16.20. Continuity2.16.21. Practice
3. Derivatives & Differentiation Rules
2.9hr3.19.1. Derivative by Definition3.19.2. Basic Derivatives3.19.3. Basic Derivatives1 min3.19.4. Derivative by Definition3.19.5. Chain Rule3.19.6. Chain Rule3.19.7. Quotient Rule10 min3.19.8. Quotient Rule2 min3.19.9. Power of a Function Rule2 min3.19.10. Implicit Differentiation3.19.11. Implicit Differentiation3.19.12. Second Derivative6 min3.19.13. Logarithmic Differentiation4 min3.19.14. Logarithmic Differentiation 3.19.15. Inverse Trigonometric Derivatives3.19.16. Tangent Lines3.19.17. Tangent Lines3.19.18. Horizontal Tangent Lines2 min3.19.19. Product Rule6 min3.19.20. Product Rule4 min3.19.21. Product Rule4 min3.19.22. Normal Line5 min
4. The Mean Value Theorem, Taylor Polynomials, and Further Applications of Differentiation
4hr4.15.1. Related Rates4.15.2. Related Rates5 min4.15.3. Related Rates5 min4.15.4. Linear Approximation4 min4.15.5. Linear Approximation4.15.6. Taylor Series from Definition7 min4.15.7. Taylor Polynomials4.15.8. Maclaurin Polynomial4.15.9. Newton's Method2 min4.15.10. Newton's Method4.15.11. L'Hopital's Rule4.15.12. L'Hopital's Rule4.15.13. L'Hopital's Rule4.15.14. Limits4.15.15. L'Hopital's Rule4.15.16. L'Hopital's Rule4.15.17. Limits4.15.18. Limits4.15.19. Extreme Value Theorem4.15.20. Rolle's Theorem1 min4.15.21. Rolle's Theorem6 min4.15.22. MVT4.15.23. MVT2 min4.15.24. MVT3 min4.15.25. MVT4.15.26. Intervals of Increase and Decrease4.15.27. Intervals of Increase and Decrease3 min4.15.28. Critical Points6 min4.15.29. Critical Points1 min4.15.30. Extrema5 min4.15.31. Extrema6 min4.15.32. Second Derivative Test10 min4.15.33. Curve Sketching4.15.34. Curve Sketching12 min4.15.35. Curve Sketching4.15.36. Optimization4.15.37. Optimization4.15.38. Optimization
MATH 137 Overview
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Welcome to MATH 137! This on-demand course was put together especially for MATH 137 at UWaterloo. 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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Corey 4.9
BS, MA Mathematics
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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.