MATH 144
U of A
Course Overview
Lessons & Practice
I. Welcome
1. Review
5hr2. A Preview of Calculus
14min3. Limits
1.9hr3.15.1. One-sided Limits3.15.2. Limits3.15.3. Special Limits4 min3.15.4. Limits3.15.5. Limits3.15.6. Limits3.15.7. Limits3.15.8. Limits3.15.9. Limits3.15.10. Limits: Indeterminate forms3.15.11. Limits3 min3.15.12. IVT3.15.13. IVT3.15.14. IVT5 min3.15.15. Fundamental Trig Limit5 min3.15.16. Fundamental Trig Limit3 min3.15.17. Squeeze Theorem1 min3.15.18. Squeeze Theorem4 min3.15.19. Squeeze Theorem3.15.20. Continuity
4. Differentiation
2.7hr4.19.1. Derivative by Definition4.19.2. Basic Derivatives4.19.3. Basic Derivatives1 min4.19.4. Derivative by Definition4.19.5. Chain Rule4.19.6. Chain Rule4.19.7. Quotient Rule10 min4.19.8. Quotient Rule2 min4.19.9. Power of a Function Rule2 min4.19.10. Implicit Differentiation4.19.11. Implicit Differentiation4.19.12. Second Derivative6 min4.19.13. Logarithmic Differentiation4 min4.19.14. Logarithmic Differentiation 4.19.15. Inverse Trigonometric Derivatives4.19.16. Tangent Lines4.19.17. Tangent Lines4.19.18. Horizontal Tangent Lines2 min4.19.19. Product Rule6 min4.19.20. Product Rule4 min4.19.21. Product Rule4 min4.19.22. Normal Line5 min
5. Integration
3hr5.17.1. Antiderivatives: Indefinite Integrals5.17.2. Indefinite Integral with Trig and Inverse Trig5.17.3. Definite Integral with Trig1 min5.17.4. Integration by Substitution5.17.5. Integration by Substitution2 min5.17.6. Integration by Substitution3 min5.17.7. Integration by Substitution3 min5.17.8. Computing Integrals3 min5.17.9. Finite Sums3 min5.17.10. Finite Sums5.17.11. Finite Sums5.17.12. Riemann Sums5.17.13. Riemann Sums5.17.14. Riemann Sums5.17.15. Integral from Definition3 min5.17.16. Integral from Definition5.17.17. Definite Integral2 min5.17.18. Substitution with Definite Integral3 min5.17.19. Integration5.17.20. Definite Integral5.17.21. FTC I5.17.22. FTC I5.17.23. FTC I
6. Functions and Curves
2.6hr6.9.1. Related Rates6.9.2. Related Rates5 min6.9.3. Related Rates5 min6.9.4. Linear Approximation4 min6.9.5. Linear Approximation6.9.6. Taylor Series from Definition7 min6.9.7. Taylor Polynomials6.9.8. Maclaurin Polynomial6.9.9. Newton's Method2 min6.9.10. Newton's Method6.9.11. L'Hopital's Rule6.9.12. L'Hopital's Rule6.9.13. L'Hopital's Rule6.9.14. Limits6.9.15. L'Hopital's Rule6.9.16. L'Hopital's Rule6.9.17. Limits6.9.18. Limits6.9.19. Extreme Value Theorem6.9.20. Rolle's Theorem1 min6.9.21. Rolle's Theorem6 min6.9.22. MVT6.9.23. MVT2 min6.9.24. MVT3 min6.9.25. MVT6.9.26. Intervals of Increase and Decrease6.9.27. Intervals of Increase and Decrease3 min6.9.28. Critical Points6 min6.9.29. Critical Points1 min6.9.30. Extrema5 min6.9.31. Extrema6 min6.9.32. Second Derivative Test10 min6.9.33. Curve Sketching6.9.34. Curve Sketching12 min6.9.35. Curve Sketching6.9.36. Optimization6.9.37. Optimization6.9.38. Optimization
7. Applications of Differentiation
2.6hr7.7.1. Related Rates7.7.2. Related Rates5 min7.7.3. Related Rates5 min7.7.4. Linear Approximation4 min7.7.5. Linear Approximation7.7.6. Taylor Series from Definition7 min7.7.7. Taylor Polynomials7.7.8. Maclaurin Polynomial7.7.9. Newton's Method2 min7.7.10. Newton's Method7.7.11. L'Hopital's Rule7.7.12. L'Hopital's Rule7.7.13. L'Hopital's Rule7.7.14. Limits7.7.15. L'Hopital's Rule7.7.16. L'Hopital's Rule7.7.17. Limits7.7.18. Limits7.7.19. Extreme Value Theorem7.7.20. Rolle's Theorem1 min7.7.21. Rolle's Theorem6 min7.7.22. MVT7.7.23. MVT2 min7.7.24. MVT3 min7.7.25. MVT7.7.26. Intervals of Increase and Decrease7.7.27. Intervals of Increase and Decrease3 min7.7.28. Critical Points6 min7.7.29. Critical Points1 min7.7.30. Extrema5 min7.7.31. Extrema6 min7.7.32. Second Derivative Test10 min7.7.33. Curve Sketching7.7.34. Curve Sketching12 min7.7.35. Curve Sketching7.7.36. Optimization7.7.37. Optimization7.7.38. Optimization
I Welcome
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