MATH 121
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 Limits12.1.4. Limits12.1.5. Limits12.1.6. Limits12.1.7. Limits12.1.8. Limits12.1.9. Limits12.1.10. Limits: Indeterminate forms12.1.11. Limits12.1.12. IVT12.1.13. IVT12.1.14. IVT12.1.15. Fundamental Trig Limit12.1.16. Fundamental Trig Limit12.1.17. Squeeze Theorem12.1.18. Squeeze Theorem12.1.19. Squeeze Theorem12.1.20. Continuity
13. Exam-Like Practice - Derivatives & Differentiability
45min13.1.1. Derivative by Definition13.1.2. Basic Derivatives13.1.3. Basic Derivatives13.1.4. Derivative by Definition13.1.5. Chain Rule13.1.6. Chain Rule13.1.7. Quotient Rule13.1.8. Quotient Rule13.1.9. Power of a Function Rule13.1.10. Implicit Differentiation13.1.11. Implicit Differentiation13.1.12. Second Derivative13.1.13. Logarithmic Differentiation13.1.14. Logarithmic Differentiation 13.1.15. Inverse Trigonometric Derivatives13.1.16. Tangent Lines13.1.17. Tangent Lines13.1.18. Horizontal Tangent Lines13.1.19. Product Rule13.1.20. Product Rule13.1.21. Product Rule13.1.22. Normal Line
14. Exam-Like Practice - Applications of Differentiation
1.3hr14.1.1. Related Rates14.1.2. Related Rates14.1.3. Related Rates14.1.4. Linear Approximation14.1.5. Linear Approximation14.1.6. Taylor Series from Definition14.1.7. Taylor Polynomials14.1.8. Maclaurin Polynomial14.1.9. Newton's Method14.1.10. 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 Theorem14.1.21. Rolle's Theorem14.1.22. MVT14.1.23. MVT14.1.24. MVT14.1.25. MVT14.1.26. Intervals of Increase and Decrease14.1.27. Intervals of Increase and Decrease14.1.28. Critical Points14.1.29. Critical Points14.1.30. Extrema14.1.31. Extrema14.1.32. Second Derivative Test14.1.33. Curve Sketching14.1.34. Curve Sketching14.1.35. 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 Trig15.1.4. Integration by Substitution15.1.5. Integration by Substitution15.1.6. Integration by Substitution15.1.7. Integration by Substitution15.1.8. Computing Integrals15.1.9. Finite Sums15.1.10. Finite Sums15.1.11. Finite Sums15.1.12. Riemann Sums15.1.13. Riemann Sums15.1.14. Riemann Sums15.1.15. Integral from Definition15.1.16. Integral from Definition15.1.17. Definite Integral15.1.18. Substitution with Definite Integral15.1.19. Integration15.1.20. Definite Integral15.1.21. FTC I15.1.22. FTC I15.1.23. FTC I15.1.24. Average Value of a Function15.1.25. Average Value of a Function15.1.26. Average Function Value of a Function15.1.27. Integration by Parts15.1.28. 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
1.5hr24. Directional Derivatives and the Gradient
10min25. The Chain Rule, Higher Partial Derivatives, and Optimization
38min26. Unconstrained Optimization
6min27. Lagrange Multipliers
13minMidterm 2 Overview
Course Notes
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