MTH 140
TMU
Course Overview
Lessons & Practice
I. Welcome
1. Functions and Graphs
4hr2. Limits
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
2.6hr3.17.1. Derivative by Definition3.17.2. Basic Derivatives3.17.3. Basic Derivatives1 min3.17.4. Derivative by Definition3.17.5. Chain Rule3.17.6. Chain Rule3.17.7. Quotient Rule10 min3.17.8. Quotient Rule2 min3.17.9. Power of a Function Rule2 min3.17.10. Implicit Differentiation3.17.11. Implicit Differentiation3.17.12. Second Derivative6 min3.17.13. Logarithmic Differentiation4 min3.17.14. Logarithmic Differentiation 3.17.15. Inverse Trigonometric Derivatives3.17.16. Tangent Lines3.17.17. Tangent Lines3.17.18. Horizontal Tangent Lines2 min3.17.19. Product Rule6 min3.17.20. Product Rule4 min3.17.21. Product Rule4 min3.17.22. Normal Line5 min
4. Integration
3hr4.20.1. Antiderivatives: Indefinite Integrals4.20.2. Indefinite Integral with Trig and Inverse Trig4.20.3. Definite Integral with Trig1 min4.20.4. Integration by Substitution4.20.5. Integration by Substitution2 min4.20.6. Integration by Substitution3 min4.20.7. Integration by Substitution3 min4.20.8. Computing Integrals3 min4.20.9. Finite Sums3 min4.20.10. Finite Sums4.20.11. Finite Sums4.20.12. Riemann Sums4.20.13. Riemann Sums4.20.14. Riemann Sums4.20.15. Integral from Definition3 min4.20.16. Integral from Definition4.20.17. Definite Integral2 min4.20.18. Substitution with Definite Integral3 min4.20.19. Integration4.20.20. Definite Integral4.20.21. FTC I4.20.22. FTC I4.20.23. FTC I
5. Applications of Differentiation
5hr5.24.1. Related Rates5.24.2. Related Rates5 min5.24.3. Related Rates5 min5.24.4. Linear Approximation4 min5.24.5. Linear Approximation5.24.6. Taylor Series from Definition7 min5.24.7. Taylor Polynomials5.24.8. Maclaurin Polynomial5.24.9. Newton's Method2 min5.24.10. Newton's Method5.24.11. L'Hopital's Rule5.24.12. L'Hopital's Rule5.24.13. L'Hopital's Rule5.24.14. Limits5.24.15. L'Hopital's Rule5.24.16. L'Hopital's Rule5.24.17. Limits5.24.18. Limits5.24.19. Extreme Value Theorem5.24.20. Rolle's Theorem1 min5.24.21. Rolle's Theorem6 min5.24.22. MVT5.24.23. MVT2 min5.24.24. MVT3 min5.24.25. MVT5.24.26. Intervals of Increase and Decrease5.24.27. Intervals of Increase and Decrease3 min5.24.28. Critical Points6 min5.24.29. Critical Points1 min5.24.30. Extrema5 min5.24.31. Extrema6 min5.24.32. Second Derivative Test10 min5.24.33. Curve Sketching5.24.34. Curve Sketching12 min5.24.35. Curve Sketching5.24.36. Optimization5.24.37. Optimization5.24.38. Optimization 5.24.39. Velocity and Acceleration5.24.40. Displacement, Velocity, & Acceleration9 min5.24.41. Velocity and Acceleration5.24.42. Exponential growth and decay5.24.43. Exponential growth and decay5.24.44. Exponential growth and decay5.24.45. Exponential growth and decay5.24.46. Newton's Law of heating and cooling
6. Applications of Integration
1.2hr- 6.I. Chapter Intro23 sec
6.5.1. Displacement, Velocity, and Acceleration3 min6.5.2. Position, Velocity and Acceleration 2 min6.5.3. Position, Velocity and Acceleration 3 min6.5.4. Average Value of a Function2 min6.5.5. Average Value of a Function6.5.6. Average Function Value of a Function1 min6.5.7. Area Between Curves6.5.8. Area Between Curves4 min6.5.9. Area Between Curves6.5.10. Area Between Curves6.5.11. Volumes of Revolution, Cylindrical Shells6.5.12. Volumes of Revolution, Disc/Washer4 min6.5.13. Volumes of Revolution, Cylindrical Shells6.5.14. Volumes of Revolution9 min6.5.15. Surface Area6 min6.5.16. Surface Area5 min