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 Limits3.15.4. Limits3.15.5. Limits3.15.6. Limits3.15.7. Limits3.15.8. Limits3.15.9. Limits3.15.10. Limits: Indeterminate forms3.15.11. Limits3.15.12. IVT3.15.13. IVT3.15.14. IVT3.15.15. Fundamental Trig Limit3.15.16. Fundamental Trig Limit3.15.17. Squeeze Theorem3.15.18. Squeeze Theorem3.15.19. Squeeze Theorem3.15.20. Continuity
4. Differentiation
2.7hr4.19.1. Derivative by Definition4.19.2. Basic Derivatives4.19.3. Basic Derivatives4.19.4. Derivative by Definition4.19.5. Chain Rule4.19.6. Chain Rule4.19.7. Quotient Rule4.19.8. Quotient Rule4.19.9. Power of a Function Rule4.19.10. Implicit Differentiation4.19.11. Implicit Differentiation4.19.12. Second Derivative4.19.13. Logarithmic Differentiation4.19.14. Logarithmic Differentiation 4.19.15. Inverse Trigonometric Derivatives4.19.16. Tangent Lines4.19.17. Tangent Lines4.19.18. Horizontal Tangent Lines4.19.19. Product Rule4.19.20. Product Rule4.19.21. Product Rule4.19.22. Normal Line
5. Integration
3hr5.17.1. Antiderivatives: Indefinite Integrals5.17.2. Indefinite Integral with Trig and Inverse Trig5.17.3. Definite Integral with Trig5.17.4. Integration by Substitution5.17.5. Integration by Substitution5.17.6. Integration by Substitution5.17.7. Integration by Substitution5.17.8. Computing Integrals5.17.9. Finite Sums5.17.10. Finite Sums5.17.11. Finite Sums5.17.12. Riemann Sums5.17.13. Riemann Sums5.17.14. Riemann Sums5.17.15. Integral from Definition5.17.16. Integral from Definition5.17.17. Definite Integral5.17.18. Substitution with Definite Integral5.17.19. 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 Rates6.9.3. Related Rates6.9.4. Linear Approximation6.9.5. Linear Approximation6.9.6. Taylor Series from Definition6.9.7. Taylor Polynomials6.9.8. Maclaurin Polynomial6.9.9. Newton's Method6.9.10. 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 Theorem6.9.21. Rolle's Theorem6.9.22. MVT6.9.23. MVT6.9.24. MVT6.9.25. MVT6.9.26. Intervals of Increase and Decrease6.9.27. Intervals of Increase and Decrease6.9.28. Critical Points6.9.29. Critical Points6.9.30. Extrema6.9.31. Extrema6.9.32. Second Derivative Test6.9.33. Curve Sketching6.9.34. Curve Sketching6.9.35. Curve Sketching6.9.36. Optimization6.9.37. Optimization6.9.38. Optimization
7. Applications of Differentiation
2.6hr7.7.1. Related Rates7.7.2. Related Rates7.7.3. Related Rates7.7.4. Linear Approximation7.7.5. Linear Approximation7.7.6. Taylor Series from Definition7.7.7. Taylor Polynomials7.7.8. Maclaurin Polynomial7.7.9. Newton's Method7.7.10. 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 Theorem7.7.21. Rolle's Theorem7.7.22. MVT7.7.23. MVT7.7.24. MVT7.7.25. MVT7.7.26. Intervals of Increase and Decrease7.7.27. Intervals of Increase and Decrease7.7.28. Critical Points7.7.29. Critical Points7.7.30. Extrema7.7.31. Extrema7.7.32. Second Derivative Test7.7.33. Curve Sketching7.7.34. Curve Sketching7.7.35. Curve Sketching7.7.36. Optimization7.7.37. Optimization7.7.38. Optimization
Midterm 2 Overview
Course Notes
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