MATH 121A
Queen's
Course Overview
Lessons & Practice
I. Welcome
1. Transformation of Functions, Exponentials, and Logarithms, Trig Review
55min2. Limits, Continuity and the Derivative
1.5hr3. Differentiability, Computing Derivatives
1.5hr4. Interpreting Derivatives, Local Linearity, Newtons Method
45min5. Implicit Differentiation, Related Rules
31min6. Families of Functions, Taylor Polynomials, l'Hopital's Rule
56min7. Optimization
19min8. The Integral
1.5hr9. Definite Integral Properties, Fundamental Theorem of Calculus
51min10. Graphs of Antiderivatives, Substitution Integrals
26min11. Integration by Parts, Average of a Function
20min12. Exam-Like Practice - Limits & Continuity
25min12.1.1. One-sided Limits12.1.2. Limits12.1.3. Special Limits4 min12.1.4. Limits12.1.5. Limits12.1.6. Limits12.1.7. Limits12.1.8. Limits12.1.9. Limits12.1.10. Limits: Indeterminate forms12.1.11. Limits3 min12.1.12. IVT12.1.13. IVT12.1.14. IVT5 min12.1.15. Fundamental Trig Limit5 min12.1.16. Fundamental Trig Limit3 min12.1.17. Squeeze Theorem1 min12.1.18. Squeeze Theorem4 min12.1.19. Squeeze Theorem12.1.20. Continuity
13. Exam-Like Practice - Derivatives & Differentiability
45min13.1.1. Derivative by Definition13.1.2. Basic Derivatives13.1.3. Basic Derivatives1 min13.1.4. Derivative by Definition13.1.5. Chain Rule13.1.6. Chain Rule13.1.7. Quotient Rule10 min13.1.8. Quotient Rule2 min13.1.9. Power of a Function Rule2 min13.1.10. Implicit Differentiation13.1.11. Implicit Differentiation13.1.12. Second Derivative6 min13.1.13. Logarithmic Differentiation4 min13.1.14. Logarithmic Differentiation 13.1.15. Inverse Trigonometric Derivatives13.1.16. Tangent Lines13.1.17. Tangent Lines13.1.18. Horizontal Tangent Lines2 min13.1.19. Product Rule6 min13.1.20. Product Rule4 min13.1.21. Product Rule4 min13.1.22. Normal Line5 min
14. Exam-Like Practice - Applications of Differentiation
1.3hr14.1.1. Related Rates14.1.2. Related Rates5 min14.1.3. Related Rates5 min14.1.4. Linear Approximation4 min14.1.5. Linear Approximation14.1.6. Taylor Series from Definition7 min14.1.7. Taylor Polynomials14.1.8. Maclaurin Polynomial14.1.9. Newton's Method2 min14.1.10. Newton's Method14.1.11. L'Hopital's Rule14.1.12. L'Hopital's Rule14.1.13. L'Hopital's Rule14.1.14. Limits14.1.15. L'Hopital's Rule14.1.16. L'Hopital's Rule14.1.17. Limits14.1.18. Limits14.1.19. Extreme Value Theorem14.1.20. Rolle's Theorem1 min14.1.21. Rolle's Theorem6 min14.1.22. MVT14.1.23. MVT2 min14.1.24. MVT3 min14.1.25. MVT14.1.26. Intervals of Increase and Decrease14.1.27. Intervals of Increase and Decrease3 min14.1.28. Critical Points6 min14.1.29. Critical Points1 min14.1.30. Extrema5 min14.1.31. Extrema6 min14.1.32. Second Derivative Test10 min14.1.33. Curve Sketching14.1.34. Curve Sketching12 min14.1.35. Curve Sketching14.1.36. Optimization14.1.37. Optimization14.1.38. Optimization
15. Exam-Like Practice - Antiderivatives & Integration
31min15.1.1. Antiderivatives: Indefinite Integrals15.1.2. Indefinite Integral with Trig and Inverse Trig15.1.3. Definite Integral with Trig1 min15.1.4. Integration by Substitution15.1.5. Integration by Substitution2 min15.1.6. Integration by Substitution3 min15.1.7. Integration by Substitution3 min15.1.8. Computing Integrals3 min15.1.9. Finite Sums3 min15.1.10. Finite Sums15.1.11. Finite Sums15.1.12. Riemann Sums15.1.13. Riemann Sums15.1.14. Riemann Sums15.1.15. Integral from Definition3 min15.1.16. Integral from Definition15.1.17. Definite Integral2 min15.1.18. Substitution with Definite Integral3 min15.1.19. Integration15.1.20. Definite Integral15.1.21. FTC I15.1.22. FTC I15.1.23. FTC I15.1.24. Average Value of a Function2 min15.1.25. Average Value of a Function15.1.26. Average Function Value of a Function1 min15.1.27. Integration by Parts2 min15.1.28. Integration by Parts15.1.29. Integration by Parts15.1.30. Integration by Parts15.1.31. Integration by Parts
16. End of MATH 121A
17. Integration to Find Areas and Volumes, Volumes of Revolution
1.4hr18. Center of Mass, Improper Integrals
28min19. Differential Equations Pt. 1
36min20. Differential Equations Pt. 2
41min21. Functions of Two Variables
6min22. Level Curves, Partial Derivatives
28min23. Functions of Many Variables, Vectors in R2 and R3
1.5hr23.2.1. 3D Cooridnate System4 min23.2.2. Vectors7 min23.2.3. Dot Product7 min23.2.4. Cross Product6 min23.2.5. Equations of Lines & Planes10 min23.2.6. Cylinder & Quadric Surface23.2.7. Example: Quadratic Surfaces (1)3 min23.2.8. Example: Quadratic Surfaces (2)2 min23.2.9. Cylindrical & Spherical Coordinates
