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MAT135H1
U of T
Course Overview
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Lessons & Practice
I. Welcome
1. Function Review
1.9hr2. Limits
1.5hr2.13.1. One-sided Limits2.13.2. Limits2.13.3. Special Limits4 min2.13.4. Limits2.13.5. Limits2.13.6. Limits2.13.7. Limits2.13.8. Limits2.13.9. Limits2.13.10. Limits: Indeterminate forms2.13.11. Limits3 min2.13.12. IVT2.13.13. IVT2.13.14. IVT5 min2.13.15. Fundamental Trig Limit5 min2.13.16. Fundamental Trig Limit3 min2.13.17. Squeeze Theorem1 min2.13.18. Squeeze Theorem4 min2.13.19. Squeeze Theorem2.13.20. Continuity
3. The Derivative
15min4. Computing Derivatives
2.4hr4.16.1. Derivative by Definition4.16.2. Basic Derivatives4.16.3. Basic Derivatives1 min4.16.4. Derivative by Definition4.16.5. Chain Rule4.16.6. Chain Rule4.16.7. Quotient Rule10 min4.16.8. Quotient Rule2 min4.16.9. Power of a Function Rule2 min4.16.10. Implicit Differentiation4.16.11. Implicit Differentiation4.16.12. Second Derivative6 min4.16.13. Logarithmic Differentiation4 min4.16.14. Logarithmic Differentiation 4.16.15. Inverse Trigonometric Derivatives4.16.16. Tangent Lines4.16.17. Tangent Lines4.16.18. Horizontal Tangent Lines2 min4.16.19. Product Rule6 min4.16.20. Product Rule4 min4.16.21. Product Rule4 min4.16.22. Normal Line5 min
5. Using Derivatives/Applications
3hr5.11.1. Related Rates5.11.2. Related Rates5 min5.11.3. Related Rates5 min5.11.4. Linear Approximation4 min5.11.5. Linear Approximation5.11.6. Newton's Method2 min5.11.7. Newton's Method5.11.8. L'Hopital's Rule5.11.9. L'Hopital's Rule5.11.10. L'Hopital's Rule5.11.11. Limits5.11.12. L'Hopital's Rule5.11.13. L'Hopital's Rule5.11.14. Limits5.11.15. Limits5.11.16. Extreme Value Theorem5.11.17. Rolle's Theorem1 min5.11.18. Rolle's Theorem6 min5.11.19. MVT5.11.20. MVT2 min5.11.21. MVT3 min5.11.22. MVT5.11.23. Intervals of Increase and Decrease5.11.24. Intervals of Increase and Decrease3 min5.11.25. Critical Points6 min5.11.26. Critical Points1 min5.11.27. Extrema5 min5.11.28. Extrema6 min5.11.29. Second Derivative Test10 min5.11.30. Curve Sketching5.11.31. Curve Sketching12 min5.11.32. Curve Sketching5.11.33. Optimization5.11.34. Optimization5.11.35. Optimization
6. Differential Equations
1.2hrMAT135H1 Overview
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Welcome to MAT135H1! This on-demand course was put together especially for MAT135H1 at U of T. 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!
C
Corey 4.9
BS, MA Mathematics
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Course Notes
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