MATH 127
UWaterloo
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus Review/Functions
1.7hr2. Limits & Continuity
1.8hr2.14.1. One-sided Limits2.14.2. Limits2.14.3. Special Limits4 min2.14.4. Limits2.14.5. Limits2.14.6. Limits2.14.7. Limits2.14.8. Limits2.14.9. Limits2.14.10. Limits: Indeterminate forms2.14.11. Limits3 min2.14.12. IVT2.14.13. IVT2.14.14. IVT5 min2.14.15. Fundamental Trig Limit5 min2.14.16. Fundamental Trig Limit3 min2.14.17. Squeeze Theorem1 min2.14.18. Squeeze Theorem4 min2.14.19. Squeeze Theorem2.14.20. Continuity
3. Derivatives & Differentiation Rules
6hr3.32.1. Derivative by Definition3.32.2. Basic Derivatives3.32.3. Basic Derivatives1 min3.32.4. Derivative by Definition3.32.5. Chain Rule3.32.6. Chain Rule3.32.7. Quotient Rule10 min3.32.8. Quotient Rule2 min3.32.9. Power of a Function Rule2 min3.32.10. Implicit Differentiation3.32.11. Implicit Differentiation3.32.12. Second Derivative6 min3.32.13. Logarithmic Differentiation4 min3.32.14. Logarithmic Differentiation 3.32.15. Inverse Trigonometric Derivatives3.32.16. Tangent Lines3.32.17. Tangent Lines3.32.18. Horizontal Tangent Lines2 min3.32.19. Product Rule6 min3.32.20. Product Rule4 min3.32.21. Product Rule4 min3.32.22. Related Rates3.32.23. Related Rates5 min3.32.24. Related Rates5 min3.32.25. Normal Line5 min3.32.26. Linear Approximation4 min3.32.27. Linear Approximation3.32.28. Newton's Method2 min3.32.29. Newton's Method3.32.30. L'Hopital's Rule3.32.31. L'Hopital's Rule3.32.32. Limits3.32.33. L'Hopital's Rule3.32.34. L'Hopital's Rule3.32.35. L'Hopital's Rule3.32.36. Limits3.32.37. Extreme Value Theorem3.32.38. Rolle's Theorem1 min3.32.39. Rolle's Theorem6 min3.32.40. MVT3.32.41. Limits3.32.42. MVT2 min3.32.43. MVT3 min3.32.44. MVT3.32.45. Intervals of Increase and Decrease3 min3.32.46. Intervals of Increase and Decrease3.32.47. Critical Points6 min3.32.48. Critical Points1 min3.32.49. Extrema6 min3.32.50. Second Derivative Test10 min3.32.51. Extrema5 min3.32.52. Curve Sketching3.32.53. Curve Sketching12 min3.32.54. Curve Sketching3.32.55. Optimization3.32.56. Optimization 3.32.57. Optimization
4. Integral Calculus
2.8hr4.15.1. Antiderivatives: Indefinite Integrals4.15.2. Indefinite Integral with Trig and Inverse Trig4.15.3. Definite Integral with Trig1 min4.15.4. Integration by Substitution4.15.5. Integration by Substitution2 min4.15.6. Integration by Substitution3 min4.15.7. Integration by Substitution3 min4.15.8. Computing Integrals3 min4.15.9. Finite Sums3 min4.15.10. Finite Sums4.15.11. Finite Sums4.15.12. Riemann Sums4.15.13. Riemann Sums4.15.14. Riemann Sums4.15.15. Integral from Definition3 min4.15.16. Integral from Definition4.15.17. Definite Integral2 min4.15.18. Substitution with Definite Integral3 min4.15.19. Integration4.15.20. Definite Integral4.15.21. FTC I4.15.22. FTC I4.15.23. FTC I4.15.24. Area Between Curves4.15.25. Area Between Curves4.15.26. Area Between Curves4.15.27. Area Between Curves4 min