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MATH 117
UWaterloo
Course Overview
Lessons & Practice
I. Welcome
1. Functions and Other Fundamentals
4hr2. Limits & Continuity
1.5hr3. Differentiation
2.6hr3.17.1. Derivative by Definition3.17.2. Basic Derivatives3.17.3. Basic Derivatives1 min3.17.4. Derivative by Definition3.17.5. Chain Rule3.17.6. Chain Rule3.17.7. Quotient Rule10 min3.17.8. Quotient Rule2 min3.17.9. Power of a Function Rule2 min3.17.10. Implicit Differentiation3.17.11. Implicit Differentiation3.17.12. Second Derivative6 min3.17.13. Logarithmic Differentiation4 min3.17.14. Logarithmic Differentiation 3.17.15. Inverse Trigonometric Derivatives3.17.16. Tangent Lines3.17.17. Tangent Lines3.17.18. Horizontal Tangent Lines2 min3.17.19. Product Rule6 min3.17.20. Product Rule4 min3.17.21. Product Rule4 min3.17.22. Normal Line5 min
4. Applications of Differentiation
4hr4.16.1. Related Rates4.16.2. Related Rates5 min4.16.3. Related Rates5 min4.16.4. Linear Approximation4 min4.16.5. Linear Approximation4.16.6. Taylor Series from Definition7 min4.16.7. Taylor Polynomials4.16.8. Maclaurin Polynomial4.16.9. Newton's Method2 min4.16.10. Newton's Method4.16.11. L'Hopital's Rule4.16.12. L'Hopital's Rule4.16.13. L'Hopital's Rule4.16.14. Limits4.16.15. L'Hopital's Rule4.16.16. L'Hopital's Rule4.16.17. Limits4.16.18. Limits4.16.19. Extreme Value Theorem4.16.20. Rolle's Theorem1 min4.16.21. Rolle's Theorem6 min4.16.22. MVT4.16.23. MVT2 min4.16.24. MVT3 min4.16.25. MVT4.16.26. Intervals of Increase and Decrease4.16.27. Intervals of Increase and Decrease3 min4.16.28. Critical Points6 min4.16.29. Critical Points1 min4.16.30. Extrema5 min4.16.31. Extrema6 min4.16.32. Second Derivative Test10 min4.16.33. Curve Sketching4.16.34. Curve Sketching12 min4.16.35. Curve Sketching4.16.36. Optimization4.16.37. Optimization4.16.38. Optimization
5. Integration
2.8hr5.16.1. Antiderivatives: Indefinite Integrals5.16.2. Indefinite Integral with Trig and Inverse Trig5.16.3. Definite Integral with Trig1 min5.16.4. Integration by Substitution5.16.5. Integration by Substitution2 min5.16.6. Integration by Substitution3 min5.16.7. Integration by Substitution3 min5.16.8. Computing Integrals3 min5.16.9. Finite Sums3 min5.16.10. Finite Sums5.16.11. Finite Sums5.16.12. Riemann Sums5.16.13. Riemann Sums5.16.14. Riemann Sums5.16.15. Integral from Definition3 min5.16.16. Integral from Definition5.16.17. Definite Integral2 min5.16.18. Substitution with Definite Integral3 min5.16.19. Integration5.16.20. Definite Integral5.16.21. FTC I5.16.22. FTC I5.16.23. FTC I
6. Applications of Integrals
1.6hr7. Integration Techniques
2.8hr7.2.1. Trigonometric Integrals3 min7.2.2. Practice (odd power of )3 min7.2.3. Practice (odd power of )3 min7.2.4. Practice (even powers of & )2 min7.2.5. Practice (even power of )4 min7.2.6. Practice (w/ )3 min7.2.7. Practice ( & )1 min7.2.8. Practice (special case )3 min7.2.9. Practice (special case )5 min7.2.10. Reduction Formula2 min7.2.11. Practice5 min7.2.12. Practice3 min
8. Parametric and Polar Curves
1.8hr8.2.1. Tangents/Derivatives of Parametric Curves2 min8.2.2. Practice (derivatives)2 min8.2.3. Practice (horizontal/vertical tangents)5 min8.2.4. Practice (horizontal/vertical tangents*)6 min8.2.5. Arc Length, Area, and Surface Area2 min8.2.6. Practice (arc length)3 min8.2.7. Practice (area)3 min8.2.8. Practice (surface area)6 min8.2.9. Practice (surface area)5 min
8.4.1. Tangents/Derivatives of Polar Curves2 min8.4.2. Practice (derivative)4 min8.4.3. Practice (horizontal/vertical tangents)7 min8.4.4. Arc Length, Area Under & Between Curves2 min8.4.5. Practice (arc length)3 min8.4.6. Practice (area inside curve)2 min8.4.7. Practice (area inside curve)4 min8.4.8. Practice (area between curves)8 min
MATH 117 Overview
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Welcome to MATH 117! This on-demand course was put together especially for MATH 117 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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