MATH 1013
York U
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
3hr2. Limits
1.9hr2.15.1. One-sided Limits2.15.2. Limits2.15.3. Special Limits4 min2.15.4. Limits2.15.5. Limits2.15.6. Limits2.15.7. Limits2.15.8. Limits2.15.9. Limits2.15.10. Limits: Indeterminate forms2.15.11. Limits3 min2.15.12. IVT2.15.13. IVT2.15.14. IVT5 min2.15.15. Fundamental Trig Limit5 min2.15.16. Fundamental Trig Limit3 min2.15.17. Squeeze Theorem1 min2.15.18. Squeeze Theorem4 min2.15.19. Squeeze Theorem2.15.20. Continuity
3. Derivatives
2.8hr3.20.1. Derivative by Definition3.20.2. Basic Derivatives3.20.3. Basic Derivatives1 min3.20.4. Derivative by Definition3.20.5. Chain Rule3.20.6. Chain Rule3.20.7. Quotient Rule10 min3.20.8. Quotient Rule2 min3.20.9. Power of a Function Rule2 min3.20.10. Implicit Differentiation3.20.11. Implicit Differentiation3.20.12. Second Derivative6 min3.20.13. Logarithmic Differentiation4 min3.20.14. Logarithmic Differentiation 3.20.15. Inverse Trigonometric Derivatives3.20.16. Tangent Lines3.20.17. Tangent Lines3.20.18. Horizontal Tangent Lines2 min3.20.19. Product Rule6 min3.20.20. Product Rule4 min3.20.21. Product Rule4 min3.20.22. Normal Line5 min
4. Applications of Differentiation
4hr4.18.1. Related Rates4.18.2. Related Rates5 min4.18.3. Related Rates5 min4.18.4. Linear Approximation4 min4.18.5. Linear Approximation4.18.6. Newton's Method2 min4.18.7. Newton's Method4.18.8. L'Hopital's Rule4.18.9. L'Hopital's Rule4.18.10. L'Hopital's Rule4.18.11. Limits4.18.12. L'Hopital's Rule4.18.13. L'Hopital's Rule4.18.14. Limits4.18.15. Limits4.18.16. Extreme Value Theorem4.18.17. Rolle's Theorem1 min4.18.18. Rolle's Theorem6 min4.18.19. MVT4.18.20. MVT2 min4.18.21. MVT3 min4.18.22. MVT4.18.23. Intervals of Increase and Decrease4.18.24. Intervals of Increase and Decrease3 min4.18.25. Critical Points6 min4.18.26. Critical Points1 min4.18.27. Extrema5 min4.18.28. Extrema6 min4.18.29. Second Derivative Test10 min4.18.30. Curve Sketching4.18.31. Curve Sketching12 min4.18.32. Curve Sketching4.18.33. Optimization4.18.34. Optimization4.18.35. Optimization
5. Integrals
2.7hr5.15.1. Antiderivatives: Indefinite Integrals5.15.2. Indefinite Integral with Trig and Inverse Trig5.15.3. Definite Integral with Trig1 min5.15.4. Integration by Substitution5.15.5. Integration by Substitution2 min5.15.6. Integration by Substitution3 min5.15.7. Integration by Substitution3 min5.15.8. Computing Integrals3 min5.15.9. Finite Sums3 min5.15.10. Finite Sums5.15.11. Finite Sums5.15.12. Riemann Sums5.15.13. Riemann Sums5.15.14. Riemann Sums5.15.15. Integral from Definition3 min5.15.16. Integral from Definition5.15.17. Definite Integral2 min5.15.18. Substitution with Definite Integral3 min5.15.19. Integration5.15.20. Definite Integral5.15.21. FTC I5.15.22. FTC I5.15.23. FTC I
