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 Limits2.14.4. Limits2.14.5. Limits2.14.6. Limits2.14.7. Limits2.14.8. Limits2.14.9. Limits2.14.10. Limits: Indeterminate forms2.14.11. Limits2.14.12. IVT2.14.13. IVT2.14.14. IVT2.14.15. Fundamental Trig Limit2.14.16. Fundamental Trig Limit2.14.17. Squeeze Theorem2.14.18. Squeeze Theorem2.14.19. Squeeze Theorem2.14.20. Continuity
3. Derivatives & Differentiation Rules
6hr3.32.1. Derivative by Definition3.32.2. Basic Derivatives3.32.3. Basic Derivatives3.32.4. Derivative by Definition3.32.5. Chain Rule3.32.6. Chain Rule3.32.7. Quotient Rule3.32.8. Quotient Rule3.32.9. Power of a Function Rule3.32.10. Implicit Differentiation3.32.11. Implicit Differentiation3.32.12. Second Derivative3.32.13. Logarithmic Differentiation3.32.14. Logarithmic Differentiation 3.32.15. Inverse Trigonometric Derivatives3.32.16. Tangent Lines3.32.17. Tangent Lines3.32.18. Horizontal Tangent Lines3.32.19. Product Rule3.32.20. Product Rule3.32.21. Product Rule3.32.22. Related Rates3.32.23. Related Rates3.32.24. Related Rates3.32.25. Normal Line3.32.26. Linear Approximation3.32.27. Linear Approximation3.32.28. Newton's Method3.32.29. 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 Theorem3.32.39. Rolle's Theorem3.32.40. MVT3.32.41. Limits3.32.42. MVT3.32.43. MVT3.32.44. MVT3.32.45. Intervals of Increase and Decrease3.32.46. Intervals of Increase and Decrease3.32.47. Critical Points3.32.48. Critical Points3.32.49. Extrema3.32.50. Second Derivative Test3.32.51. Extrema3.32.52. Curve Sketching3.32.53. Curve Sketching3.32.54. 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 Trig4.15.4. Integration by Substitution4.15.5. Integration by Substitution4.15.6. Integration by Substitution4.15.7. Integration by Substitution4.15.8. Computing Integrals4.15.9. Finite Sums4.15.10. Finite Sums4.15.11. Finite Sums4.15.12. Riemann Sums4.15.13. Riemann Sums4.15.14. Riemann Sums4.15.15. Integral from Definition4.15.16. Integral from Definition4.15.17. Definite Integral4.15.18. Substitution with Definite Integral4.15.19. 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 Curves
Mock Exam
Final Exam Overview
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.