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MATH 1225A/B
UWO
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
3hr2. Limits
1.9hr2.15.1. One-sided Limits2.15.2. Limits2.15.3. Special Limits2.15.4. Limits2.15.5. Limits2.15.6. Limits2.15.7. Limits2.15.8. Limits2.15.9. Limits2.15.10. Limits: Indeterminate forms2.15.11. Limits2.15.12. IVT2.15.13. IVT2.15.14. IVT2.15.15. Fundamental Trig Limit2.15.16. Fundamental Trig Limit2.15.17. Squeeze Theorem2.15.18. Squeeze Theorem2.15.19. Squeeze Theorem2.15.20. Continuity
3. Derivatives
2.8hr3.20.1. Derivative by Definition3.20.2. Basic Derivatives3.20.3. Basic Derivatives3.20.4. Derivative by Definition3.20.5. Chain Rule3.20.6. Chain Rule3.20.7. Quotient Rule3.20.8. Quotient Rule3.20.9. Power of a Function Rule3.20.10. Implicit Differentiation3.20.11. Implicit Differentiation3.20.12. Second Derivative3.20.13. Logarithmic Differentiation3.20.14. Logarithmic Differentiation 3.20.15. Inverse Trigonometric Derivatives3.20.16. Tangent Lines3.20.17. Tangent Lines3.20.18. Horizontal Tangent Lines3.20.19. Product Rule3.20.20. Product Rule3.20.21. Product Rule3.20.22. Normal Line
4. Applications of Differentiation
4hr4.20.1. Related Rates4.20.2. Related Rates4.20.3. Related Rates4.20.4. Linear Approximation4.20.5. Linear Approximation4.20.6. Taylor Series from Definition4.20.7. Taylor Polynomials4.20.8. Maclaurin Polynomial4.20.9. Newton's Method4.20.10. Newton's Method4.20.11. L'Hopital's Rule4.20.12. L'Hopital's Rule4.20.13. L'Hopital's Rule4.20.14. Limits4.20.15. L'Hopital's Rule4.20.16. L'Hopital's Rule4.20.17. Limits4.20.18. Limits4.20.19. Extreme Value Theorem4.20.20. Rolle's Theorem4.20.21. Rolle's Theorem4.20.22. MVT4.20.23. MVT4.20.24. MVT4.20.25. MVT4.20.26. Intervals of Increase and Decrease4.20.27. Intervals of Increase and Decrease4.20.28. Critical Points4.20.29. Critical Points4.20.30. Extrema4.20.31. Extrema4.20.32. Second Derivative Test4.20.33. Curve Sketching4.20.34. Curve Sketching4.20.35. Curve Sketching4.20.36. Optimization4.20.37. Optimization4.20.38. Optimization
5. Applications of Differentiation for Science
41min6. Integrals
2.7hr6.15.1. Antiderivatives: Indefinite Integrals6.15.2. Indefinite Integral with Trig and Inverse Trig6.15.3. Definite Integral with Trig6.15.4. Integration by Substitution6.15.5. Integration by Substitution6.15.6. Integration by Substitution6.15.7. Integration by Substitution6.15.8. Computing Integrals6.15.9. Finite Sums6.15.10. Finite Sums6.15.11. Finite Sums6.15.12. Riemann Sums6.15.13. Riemann Sums6.15.14. Riemann Sums6.15.15. Integral from Definition6.15.16. Integral from Definition6.15.17. Definite Integral6.15.18. Substitution with Definite Integral6.15.19. Integration6.15.20. Definite Integral6.15.21. FTC I6.15.22. FTC I6.15.23. FTC I
7. Applications of Integration
1.8hr7.8.1. Displacement, Velocity, and Acceleration7.8.2. Position, Velocity and Acceleration 7.8.3. Position, Velocity and Acceleration 7.8.4. Average Value of a Function7.8.5. Average Value of a Function7.8.6. Average Function Value of a Function7.8.7. Area Between Curves7.8.8. Area Between Curves7.8.9. Area Between Curves7.8.10. Area Between Curves7.8.11. Volumes of Revolution, Cylindrical Shells7.8.12. Volumes of Revolution, Disc/Washer7.8.13. Volumes of Revolution, Cylindrical Shells7.8.14. Volumes of Revolution7.8.15. Arc Length7.8.16. Arc Length7.8.17. Arc Length with Partial Fractions7.8.18. Arc Length with Perfect Square7.8.19. Surface Area7.8.20. Surface Area
8. Applications of Integration for Physical Science
60min9. Integration Techniques
2.4hr9.10.1. Integration by Parts9.10.2. Integration by Parts9.10.3. Integration by Parts9.10.4. Integration by Parts9.10.5. Integration by Parts9.10.6. Trigonometric Integral9.10.7. Trigonometric Integral9.10.8. Trigonometric Integral with IBP9.10.9. Trigonometric Substitution9.10.10. Trigonometric Substitution9.10.11. Trigonometric Substitution9.10.12. Partial Fraction Decomposition9.10.13. Partial Fraction Decomposition9.10.14. Partial Fraction Decomposition9.10.15. The Trapezoid Rule9.10.16. The Trapezoid Rule9.10.17. Simpson's Rule
10. Differential Equations
1.2hrMATH 1225A/B Overview
0:00 / 0:00
Welcome to MATH 1225A/B! This on-demand course was put together especially for MATH 1225A/B at UWO. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
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Isaac 4.7
M sc. Mathematics
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