NMM 1412A/B
UWO
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
5hr1.18.1. Basics of Complex Numbers1.18.2. Operations With Complex Numbers1.18.3. Example1.18.4. Practice1.18.5. Polar Form1.18.6. Geometric Interpretation of Multiplication1.18.7. Example1.18.8. Practice1.18.9. Practice1.18.10. Powers and Root1.18.11. Example1.18.12. Example1.18.13. Practice1.18.14. Practice
2. Limits and Continuity
1.8hr2.14.1. One-sided Limits2.14.2. Limits2.14.3. Special Limits2.14.4. Limits2.14.5. Limits2.14.6. Limits2.14.7. Limits2.14.8. Limits2.14.9. Limits2.14.10. Limits: Indeterminate forms2.14.11. Limits2.14.12. IVT2.14.13. IVT2.14.14. IVT2.14.15. Fundamental Trig Limit2.14.16. Fundamental Trig Limit2.14.17. Squeeze Theorem2.14.18. Squeeze Theorem2.14.19. Squeeze Theorem2.14.20. Continuity
3. Differentiation
2.5hr3.18.1. Derivative by Definition3.18.2. Basic Derivatives3.18.3. Basic Derivatives3.18.4. Derivative by Definition3.18.5. Chain Rule3.18.6. Chain Rule3.18.7. Quotient Rule3.18.8. Quotient Rule3.18.9. Power of a Function Rule3.18.10. Implicit Differentiation3.18.11. Implicit Differentiation3.18.12. Second Derivative3.18.13. Logarithmic Differentiation3.18.14. Logarithmic Differentiation 3.18.15. Inverse Trigonometric Derivatives3.18.16. Tangent Lines3.18.17. Tangent Lines3.18.18. Horizontal Tangent Lines3.18.19. Product Rule3.18.20. Product Rule3.18.21. Product Rule3.18.22. Normal Line
4. Transcendental Functions
26min5. Applications of Differentiation
4hr5.18.1. Related Rates5.18.2. Related Rates5.18.3. Related Rates5.18.4. Linear Approximation5.18.5. Linear Approximation5.18.6. Taylor Series from Definition5.18.7. Taylor Polynomials5.18.8. Maclaurin Polynomial5.18.9. Newton's Method5.18.10. Newton's Method5.18.11. L'Hopital's Rule5.18.12. L'Hopital's Rule5.18.13. L'Hopital's Rule5.18.14. Limits5.18.15. L'Hopital's Rule5.18.16. L'Hopital's Rule5.18.17. Limits5.18.18. Limits5.18.19. Extreme Value Theorem5.18.20. Rolle's Theorem5.18.21. Rolle's Theorem5.18.22. MVT5.18.23. MVT5.18.24. MVT5.18.25. MVT5.18.26. Intervals of Increase and Decrease5.18.27. Intervals of Increase and Decrease5.18.28. Critical Points5.18.29. Critical Points5.18.30. Extrema5.18.31. Extrema5.18.32. Second Derivative Test5.18.33. Curve Sketching5.18.34. Curve Sketching5.18.35. Curve Sketching5.18.36. Optimization5.18.37. Optimization5.18.38. Optimization
6. Integrals
2.8hr6.16.1. Antiderivatives: Indefinite Integrals6.16.2. Indefinite Integral with Trig and Inverse Trig6.16.3. Definite Integral with Trig6.16.4. Integration by Substitution6.16.5. Integration by Substitution6.16.6. Integration by Substitution6.16.7. Integration by Substitution6.16.8. Computing Integrals6.16.9. Finite Sums6.16.10. Finite Sums6.16.11. Finite Sums6.16.12. Riemann Sums6.16.13. Riemann Sums6.16.14. Riemann Sums6.16.15. Integral from Definition6.16.16. Integral from Definition6.16.17. Definite Integral6.16.18. Substitution with Definite Integral6.16.19. Integration6.16.20. Definite Integral6.16.21. FTC I6.16.22. FTC I6.16.23. FTC I
7. Differential Equations
1.2hrMidterm Exam Overview
Course Notes


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